Kazimir Majorinc http://kazimirmajorinc.blogspot.com http://instprog.com Lot of Reduced Lambda Expressions ------ 1/1. ------ 1. ==[ start ]==> a REDUCED to normal form. ------ 2/2. ------ 1. ==[ start ]==> (^a.a) 2. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3/3. ------ 1. ==[ start ]==> (a a) REDUCED to normal form. ------ 4/5. ------ 1. ==[ start ]==> (^a.(^a.a)) 2. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5/6. ------ 1. ==[ start ]==> (a (^a.a)) 2. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6/9. ------ 1. ==[ start ]==> ((^a.a) a) 2. ==[ alpha ]==> ((^x.x) a) 3. ==[ beta ]==> a REDUCED to normal form. ------ 7/11. ------ 1. ==[ start ]==> (^a.(a a)) 2. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 8/12. ------ 1. ==[ start ]==> (a (a a)) REDUCED to normal form. ------ 9/15. ------ 1. ==[ start ]==> ((^a.a)(^a.a)) 2. ==[ alpha ]==> ((^x.x)(^y.y)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10/18. ------ 1. ==[ start ]==> ((a a) a) REDUCED to normal form. ------ 11/20. ------ 1. ==[ start ]==> (^a.b) 2. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12/21. ------ 1. ==[ start ]==> (a b) REDUCED to normal form. ------ 13/24. ------ 1. ==[ start ]==> ((^a.a)(a a)) 2. ==[ alpha ]==> ((^x.x)(a a)) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 14/27. ------ 1. ==[ start ]==> ((a a)(^a.a)) 2. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 15/32. ------ 1. ==[ start ]==> (^a.(^a.(^a.a))) 2. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 16/33. ------ 1. ==[ start ]==> (a (^a.(^a.a))) 2. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 17/36. ------ 1. ==[ start ]==> ((^a.a) b) 2. ==[ alpha ]==> ((^x.x) b) 3. ==[ beta ]==> b REDUCED to normal form. ------ 18/39. ------ 1. ==[ start ]==> ((a a)(a a)) REDUCED to normal form. ------ 19/45. ------ 1. ==[ start ]==> ((^a.(^a.a)) a) 2. ==[ alpha ]==> ((^x.(^y.y)) a) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20/47. ------ 1. ==[ start ]==> (^a.(a (^a.a))) 2. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 21/48. ------ 1. ==[ start ]==> (a (a (^a.a))) 2. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 22/51. ------ 1. ==[ start ]==> ((^a.a)(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23/54. ------ 1. ==[ start ]==> ((a a) b) REDUCED to normal form. ------ 24/60. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.a)) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25/63. ------ 1. ==[ start ]==> ((a (^a.a)) a) 2. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 26/69. ------ 1. ==[ start ]==> ((^a.a)(a (^a.a))) 2. ==[ alpha ]==> ((^x.x)(a (^y.y))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 27/72. ------ 1. ==[ start ]==> ((a a)(^a.(^a.a))) 2. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 28/78. ------ 1. ==[ start ]==> ((^a.(^a.a))(a a)) 2. ==[ alpha ]==> ((^x.(^y.y))(a a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29/81. ------ 1. ==[ start ]==> ((a (^a.a))(^a.a)) 2. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 30/86. ------ 1. ==[ start ]==> (^a.(^b.a)) 2. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 31/87. ------ 1. ==[ start ]==> (a (^b.a)) 2. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 32/93. ------ 1. ==[ start ]==> ((a a)(a (^a.a))) 2. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 33/99. ------ 1. ==[ start ]==> ((^a.(^a.a)) b) 2. ==[ alpha ]==> ((^x.(^y.y)) b) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34/102. ------ 1. ==[ start ]==> ((a (^a.a))(a a)) 2. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 35/110. ------ 1. ==[ start ]==> (^a.((^a.a) a)) 2. ==[ alpha ]==> (^x.((^y.y) x)) 3. ==[ eta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36/111. ------ 1. ==[ start ]==> (a ((^a.a) a)) 2. ==[ alpha ]==> (a ((^x.x) a)) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 37/114. ------ 1. ==[ start ]==> ((^a.a)(^b.a)) 2. ==[ alpha ]==> ((^x.x)(^y.a)) 3. ==[ beta ]==> (^y.a) 4. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 38/123. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39/126. ------ 1. ==[ start ]==> ((a (^a.a)) b) 2. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 40/135. ------ 1. ==[ start ]==> (((^a.a) a) a) 2. ==[ alpha ]==> (((^x.x) a) a) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 41/141. ------ 1. ==[ start ]==> ((^a.a)((^a.a) a)) 2. ==[ alpha ]==> ((^x.x)((^y.y) a)) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 42/144. ------ 1. ==[ start ]==> ((a a)(^b.a)) 2. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 43/150. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44/153. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 45/162. ------ 1. ==[ start ]==> (((^a.a) a)(^a.a)) 2. ==[ alpha ]==> (((^x.x) a)(^y.y)) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 46/167. ------ 1. ==[ start ]==> (^a.(^a.(a a))) 2. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 47/168. ------ 1. ==[ start ]==> (a (^a.(a a))) 2. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 48/174. ------ 1. ==[ start ]==> ((a a)((^a.a) a)) 2. ==[ alpha ]==> ((a a)((^x.x) a)) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 49/183. ------ 1. ==[ start ]==> ((a (^a.a))(a (^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 50/192. ------ 1. ==[ start ]==> (((^a.a) a)(a a)) 2. ==[ alpha ]==> (((^x.x) a)(a a)) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 51/198. ------ 1. ==[ start ]==> ((^a.(a a)) a) 2. ==[ alpha ]==> ((^x.(x x)) a) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52/200. ------ 1. ==[ start ]==> (^a.(a (a a))) 2. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 53/201. ------ 1. ==[ start ]==> (a (a (a a))) REDUCED to normal form. ------ 54/204. ------ 1. ==[ start ]==> ((^a.a)(^a.(a a))) 2. ==[ alpha ]==> ((^x.x)(^y.(y y))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 55/213. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.a)) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56/225. ------ 1. ==[ start ]==> (((^a.a) a) b) 2. ==[ alpha ]==> (((^x.x) a) b) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 57/231. ------ 1. ==[ start ]==> ((^a.(a a))(^a.a)) 2. ==[ alpha ]==> ((^x.(x x))(^y.y)) 3. ==[ beta ]==> ((^y.y)(^y.y)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58/234. ------ 1. ==[ start ]==> ((a (a a)) a) REDUCED to normal form. ------ 59/240. ------ 1. ==[ start ]==> ((^a.a)(a (a a))) 2. ==[ alpha ]==> ((^x.x)(a (a a))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 60/243. ------ 1. ==[ start ]==> ((a a)(^a.(a a))) 2. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 61/249. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62/252. ------ 1. ==[ start ]==> ((a (^a.a))(^b.a)) 2. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 63/261. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 64/267. ------ 1. ==[ start ]==> ((^a.(a a))(a a)) 2. ==[ alpha ]==> ((^x.(x x))(a a)) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 65/270. ------ 1. ==[ start ]==> ((a (a a))(^a.a)) 2. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 66/275. ------ 1. ==[ start ]==> (^a.(^b.(^a.a))) 2. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 67/276. ------ 1. ==[ start ]==> (a (^b.(^a.a))) 2. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 68/282. ------ 1. ==[ start ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 69/291. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 70/300. ------ 1. ==[ start ]==> (((^a.a) a)(a (^a.a))) 2. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 3. ==[ beta ]==> (a (a (^y.y))) 4. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 71/306. ------ 1. ==[ start ]==> ((^a.(a a)) b) 2. ==[ alpha ]==> ((^x.(x x)) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 72/309. ------ 1. ==[ start ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 73/317. ------ 1. ==[ start ]==> (^a.((^a.a)(^a.a))) 2. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74/318. ------ 1. ==[ start ]==> (a ((^a.a)(^a.a))) 2. ==[ alpha ]==> (a ((^x.x)(^y.y))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 75/321. ------ 1. ==[ start ]==> ((^a.a)(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 76/330. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77/348. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 3. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78/351. ------ 1. ==[ start ]==> ((a (a a)) b) REDUCED to normal form. ------ 79/360. ------ 1. ==[ start ]==> (((^a.a)(^a.a)) a) 2. ==[ alpha ]==> (((^x.x)(^y.y)) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 80/366. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81/369. ------ 1. ==[ start ]==> ((a a)(^b.(^a.a))) 2. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 82/375. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83/378. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(a a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 84/387. ------ 1. ==[ start ]==> (((^a.a) a)(^b.a)) 2. ==[ alpha ]==> (((^x.x) a)(^y.a)) 3. ==[ beta ]==> (a (^y.a)) 4. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 85/393. ------ 1. ==[ start ]==> ((^a.(a a))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 3. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 86/396. ------ 1. ==[ start ]==> ((a (a a))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 87/405. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88/417. ------ 1. ==[ start ]==> ((a a)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 89/426. ------ 1. ==[ start ]==> ((a (^a.a))(a (a a))) 2. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 90/435. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a) a)) 2. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 3. ==[ beta ]==> (a ((^y.y) a)) 4. ==[ alpha ]==> (a ((^x.x) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 91/444. ------ 1. ==[ start ]==> ((a (a a))(a (^a.a))) 2. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 92/453. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 93/461. ------ 1. ==[ start ]==> (^a.((a a) a)) 2. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 94/462. ------ 1. ==[ start ]==> (a ((a a) a)) REDUCED to normal form. ------ 95/474. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96/492. ------ 1. ==[ start ]==> ((^a.(a a))(^b.a)) 2. ==[ alpha ]==> ((^x.(x x))(^y.a)) 3. ==[ beta ]==> ((^y.a)(^y.a)) 4. ==[ alpha ]==> ((^x.a)(^y.a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 97/504. ------ 1. ==[ start ]==> (((^a.a)(^a.a)) b) 2. ==[ alpha ]==> (((^x.x)(^y.y)) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 98/513. ------ 1. ==[ start ]==> (((a a) a) a) REDUCED to normal form. ------ 99/519. ------ 1. ==[ start ]==> ((^a.a)((a a) a)) 2. ==[ alpha ]==> ((^x.x)((a a) a)) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 100/528. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101/531. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 102/540. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(a a))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 3. ==[ beta ]==> (a (^y.(y y))) 4. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 103/546. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a) a)) 2. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 3. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104/549. ------ 1. ==[ start ]==> ((a (a a))(^b.a)) 2. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 105/558. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 106/567. ------ 1. ==[ start ]==> (((a a) a)(^a.a)) 2. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 107/572. ------ 1. ==[ start ]==> (^a.(^a.b)) 2. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 108/573. ------ 1. ==[ start ]==> (a (^a.b)) 2. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 109/579. ------ 1. ==[ start ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 110/588. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 111/597. ------ 1. ==[ start ]==> (((^a.a) a)(a (a a))) 2. ==[ alpha ]==> (((^x.x) a)(a (a a))) 3. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 112/606. ------ 1. ==[ start ]==> ((a (a a))((^a.a) a)) 2. ==[ alpha ]==> ((a (a a))((^x.x) a)) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 113/615. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 3. ==[ beta ]==> ((^y.y)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 114/624. ------ 1. ==[ start ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 115/630. ------ 1. ==[ start ]==> ((^a.b) a) 2. ==[ alpha ]==> ((^x.b) a) 3. ==[ beta ]==> b REDUCED to normal form. ------ 116/632. ------ 1. ==[ start ]==> (^a.(a b)) 2. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 117/633. ------ 1. ==[ start ]==> (a (a b)) REDUCED to normal form. ------ 118/636. ------ 1. ==[ start ]==> ((^a.a)(^a.b)) 2. ==[ alpha ]==> ((^x.x)(^y.b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 119/663. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 3. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 120/684. ------ 1. ==[ start ]==> (((a a) a) b) REDUCED to normal form. ------ 121/690. ------ 1. ==[ start ]==> ((^a.b)(^a.a)) 2. ==[ alpha ]==> ((^x.b)(^y.y)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 122/693. ------ 1. ==[ start ]==> ((a b) a) REDUCED to normal form. ------ 123/699. ------ 1. ==[ start ]==> ((^a.a)(a b)) 2. ==[ alpha ]==> ((^x.x)(a b)) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 124/702. ------ 1. ==[ start ]==> ((a a)(^a.b)) 2. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 125/708. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126/720. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 127/726. ------ 1. ==[ start ]==> ((^a.(a a))(a (a a))) 2. ==[ alpha ]==> ((^x.(x x))(a (a a))) 3. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 128/729. ------ 1. ==[ start ]==> ((a (a a))(^a.(a a))) 2. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 129/738. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^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. ------ 130/747. ------ 1. ==[ start ]==> (((a a) a)(^a.(^a.a))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 131/753. ------ 1. ==[ start ]==> ((^a.b)(a a)) 2. ==[ alpha ]==> ((^x.b)(a a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 132/756. ------ 1. ==[ start ]==> ((a b)(^a.a)) 2. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 133/761. ------ 1. ==[ start ]==> (^a.(^b.(a a))) 2. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 134/762. ------ 1. ==[ start ]==> (a (^b.(a a))) 2. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 135/768. ------ 1. ==[ start ]==> ((a a)(a b)) REDUCED to normal form. ------ 136/777. ------ 1. ==[ start ]==> ((a (^a.a))((a a) a)) 2. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 137/786. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 3. ==[ beta ]==> (a ((^y.y)(^z.z))) 4. ==[ alpha ]==> (a ((^x.x)(^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 138/795. ------ 1. ==[ start ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 139/804. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 140/813. ------ 1. ==[ start ]==> (((a a) a)(a (^a.a))) 2. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 141/819. ------ 1. ==[ start ]==> ((^a.b) b) 2. ==[ alpha ]==> ((^x.b) b) 3. ==[ beta ]==> b REDUCED to normal form. ------ 142/822. ------ 1. ==[ start ]==> ((a b)(a a)) REDUCED to normal form. ------ 143/830. ------ 1. ==[ start ]==> (^a.((^a.a)(a a))) 2. ==[ alpha ]==> (^x.((^y.y)(x x))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 144/831. ------ 1. ==[ start ]==> (a ((^a.a)(a a))) 2. ==[ alpha ]==> (a ((^x.x)(a a))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 145/834. ------ 1. ==[ start ]==> ((^a.a)(^b.(a a))) 2. ==[ alpha ]==> ((^x.x)(^y.(a a))) 3. ==[ beta ]==> (^y.(a a)) 4. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 146/843. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.b)) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147/861. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 3. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148/888. ------ 1. ==[ start ]==> ((^a.b)(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 149/891. ------ 1. ==[ start ]==> ((a b) b) REDUCED to normal form. ------ 150/900. ------ 1. ==[ start ]==> (((^a.a)(a a)) a) 2. ==[ alpha ]==> (((^x.x)(a a)) a) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 151/906. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 152/909. ------ 1. ==[ start ]==> ((a a)(^b.(a a))) 2. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 153/915. ------ 1. ==[ start ]==> ((^a.(^a.a))(a b)) 2. ==[ alpha ]==> ((^x.(^y.y))(a b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 154/918. ------ 1. ==[ start ]==> ((a (^a.a))(^a.b)) 2. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 155/933. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 156/936. ------ 1. ==[ start ]==> ((a (a a))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 157/945. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 3. ==[ beta ]==> ((^y.y)(^z.(z z))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 158/954. ------ 1. ==[ start ]==> (((a a) a)(^b.a)) 2. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 159/960. ------ 1. ==[ start ]==> ((^a.b)(a (^a.a))) 2. ==[ alpha ]==> ((^x.b)(a (^y.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 160/963. ------ 1. ==[ start ]==> ((a b)(^a.(^a.a))) 2. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 161/972. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.a)) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 162/984. ------ 1. ==[ start ]==> ((a a)((^a.a)(a a))) 2. ==[ alpha ]==> ((a a)((^x.x)(a a))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 163/993. ------ 1. ==[ start ]==> ((a (^a.a))(a b)) 2. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 164/1002. ------ 1. ==[ start ]==> (((^a.a) a)((a a) a)) 2. ==[ alpha ]==> (((^x.x) a)((a a) a)) 3. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 165/1011. ------ 1. ==[ start ]==> ((a (a a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 166/1020. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 3. ==[ beta ]==> ((^y.y)(a (a a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 167/1029. ------ 1. ==[ start ]==> (((a a) a)((^a.a) a)) 2. ==[ alpha ]==> (((a a) a)((^x.x) a)) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 168/1035. ------ 1. ==[ start ]==> ((^a.b) c) 2. ==[ alpha ]==> ((^x.b) c) 3. ==[ beta ]==> b REDUCED to normal form. ------ 169/1038. ------ 1. ==[ start ]==> ((a b)(a (^a.a))) 2. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 170/1047. ------ 1. ==[ start ]==> (((^a.a)(a a))(a a)) 2. ==[ alpha ]==> (((^x.x)(a a))(a a)) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 171/1055. ------ 1. ==[ start ]==> (^a.((a a)(^a.a))) 2. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 172/1056. ------ 1. ==[ start ]==> (a ((a a)(^a.a))) 2. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 173/1068. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 174/1113. ------ 1. ==[ start ]==> ((^a.b)(^b.a)) 2. ==[ alpha ]==> ((^x.b)(^y.a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 175/1116. ------ 1. ==[ start ]==> ((a b) c) REDUCED to normal form. ------ 176/1125. ------ 1. ==[ start ]==> (((^a.a)(a a)) b) 2. ==[ alpha ]==> (((^x.x)(a a)) b) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 177/1134. ------ 1. ==[ start ]==> (((a a)(^a.a)) a) 2. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 178/1140. ------ 1. ==[ start ]==> ((^a.a)((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 179/1149. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 180/1152. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(a a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 181/1161. ------ 1. ==[ start ]==> (((^a.a) a)(^a.b)) 2. ==[ alpha ]==> (((^x.x) a)(^y.b)) 3. ==[ beta ]==> (a (^y.b)) 4. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 182/1167. ------ 1. ==[ start ]==> ((^a.(a a))((a a) a)) 2. ==[ alpha ]==> ((^x.(x x))((a a) a)) 3. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 183/1179. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 184/1188. ------ 1. ==[ start ]==> (((a a) a)(^a.(a a))) 2. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 185/1194. ------ 1. ==[ start ]==> ((^a.b)((^a.a) a)) 2. ==[ alpha ]==> ((^x.b)((^y.y) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 186/1197. ------ 1. ==[ start ]==> ((a b)(^b.a)) 2. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 187/1206. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 188/1215. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.a)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 189/1227. ------ 1. ==[ start ]==> ((a a)((a a)(^a.a))) 2. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 190/1236. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 191/1245. ------ 1. ==[ start ]==> (((^a.a) a)(a b)) 2. ==[ alpha ]==> (((^x.x) a)(a b)) 3. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 192/1254. ------ 1. ==[ start ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 193/1263. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 194/1272. ------ 1. ==[ start ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 195/1281. ------ 1. ==[ start ]==> ((a b)((^a.a) a)) 2. ==[ alpha ]==> ((a b)((^x.x) a)) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 196/1290. ------ 1. ==[ start ]==> (((^a.a)(a a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 3. ==[ beta ]==> ((a a)(a (^y.y))) 4. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 197/1299. ------ 1. ==[ start ]==> (((a a)(^a.a))(a a)) 2. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 198/1307. ------ 1. ==[ start ]==> (^a.(b a)) 2. ==[ alpha ]==> (^x.(b x)) 3. ==[ eta ]==> b REDUCED to normal form. ------ 199/1308. ------ 1. ==[ start ]==> (a (b a)) REDUCED to normal form. ------ 200/1338. ------ 1. ==[ start ]==> ((^a.(a a))(^a.b)) 2. ==[ alpha ]==> ((^x.(x x))(^y.b)) 3. ==[ beta ]==> ((^y.b)(^y.b)) 4. ==[ alpha ]==> ((^x.b)(^y.b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 201/1365. ------ 1. ==[ start ]==> ((^a.b)(^a.(a a))) 2. ==[ alpha ]==> ((^x.b)(^y.(y y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 202/1386. ------ 1. ==[ start ]==> (((a a)(^a.a)) b) 2. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 203/1401. ------ 1. ==[ start ]==> ((^a.a)(b a)) 2. ==[ alpha ]==> ((^x.x)(b a)) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 204/1410. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 205/1422. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(a a))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 3. ==[ beta ]==> (a (^y.(a a))) 4. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 206/1428. ------ 1. ==[ start ]==> ((^a.(a a))(a b)) 2. ==[ alpha ]==> ((^x.(x x))(a b)) 3. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 207/1431. ------ 1. ==[ start ]==> ((a (a a))(^a.b)) 2. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 208/1449. ------ 1. ==[ start ]==> (((a a) a)(^b.(^a.a))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 209/1455. ------ 1. ==[ start ]==> ((^a.b)(a (a a))) 2. ==[ alpha ]==> ((^x.b)(a (a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 210/1458. ------ 1. ==[ start ]==> ((a b)(^a.(a a))) 2. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 211/1467. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.a)) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 3. ==[ beta ]==> ((a a)(^y.a)) 4. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 212/1476. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 213/1490. ------ 1. ==[ start ]==> (^a.(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 214/1491. ------ 1. ==[ start ]==> (a (^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 215/1497. ------ 1. ==[ start ]==> ((a a)(b a)) REDUCED to normal form. ------ 216/1506. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 217/1515. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(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))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 218/1524. ------ 1. ==[ start ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 219/1533. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 3. ==[ beta ]==> ((^y.y)((a a) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 220/1542. ------ 1. ==[ start ]==> (((a a) a)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 221/1551. ------ 1. ==[ start ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 222/1560. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 3. ==[ beta ]==> ((a a)((^y.y) a)) 4. ==[ alpha ]==> ((a a)((^x.x) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 223/1569. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 224/1584. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a))) a) 2. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 225/1586. ------ 1. ==[ start ]==> (^a.(a (^a.(^a.a)))) 2. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 226/1587. ------ 1. ==[ start ]==> (a (a (^a.(^a.a)))) 2. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 227/1590. ------ 1. ==[ start ]==> ((^a.a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 228/1617. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 3. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 229/1644. ------ 1. ==[ start ]==> ((^a.b)(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 230/1680. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 231/1683. ------ 1. ==[ start ]==> ((a (^a.(^a.a))) a) 2. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 232/1689. ------ 1. ==[ start ]==> ((^a.a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 233/1692. ------ 1. ==[ start ]==> ((a a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 234/1698. ------ 1. ==[ start ]==> ((^a.(^a.a))(b a)) 2. ==[ alpha ]==> ((^x.(^y.y))(b a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 235/1716. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((^y.y)(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. ------ 236/1719. ------ 1. ==[ start ]==> ((a (a a))(^b.(a a))) 2. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 237/1728. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 3. ==[ beta ]==> ((^y.y)(^z.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 238/1743. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 239/1746. ------ 1. ==[ start ]==> ((a b)(^b.(^a.a))) 2. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 240/1755. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 3. ==[ beta ]==> ((a a)(^y.(y y))) 4. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 241/1764. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.a)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 242/1779. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 243/1782. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 244/1787. ------ 1. ==[ start ]==> (^a.(^b.b)) 2. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 245/1788. ------ 1. ==[ start ]==> (a (^b.b)) 2. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 246/1794. ------ 1. ==[ start ]==> ((a a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 247/1803. ------ 1. ==[ start ]==> ((a (^a.a))(b a)) 2. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 248/1812. ------ 1. ==[ start ]==> (((^a.a) a)((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 3. ==[ beta ]==> (a ((a a)(^y.y))) 4. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 249/1821. ------ 1. ==[ start ]==> ((a (a a))((^a.a)(a a))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 250/1830. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 251/1839. ------ 1. ==[ start ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 252/1848. ------ 1. ==[ start ]==> ((a b)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 253/1857. ------ 1. ==[ start ]==> (((^a.a)(a a))(a (a a))) 2. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 3. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 254/1866. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 255/1881. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a))) b) 2. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 256/1884. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 257/1892. ------ 1. ==[ start ]==> (^a.((^a.a) b)) 2. ==[ alpha ]==> (^x.((^y.y) b)) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 258/1893. ------ 1. ==[ start ]==> (a ((^a.a) b)) 2. ==[ alpha ]==> (a ((^x.x) b)) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 259/1896. ------ 1. ==[ start ]==> ((^a.a)(^b.b)) 2. ==[ alpha ]==> ((^x.x)(^y.y)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 260/1905. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 261/1950. ------ 1. ==[ start ]==> ((^a.b)(^c.a)) 2. ==[ alpha ]==> ((^x.b)(^y.a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 262/1986. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 263/1989. ------ 1. ==[ start ]==> ((a (^a.(^a.a))) b) 2. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 264/1998. ------ 1. ==[ start ]==> (((^a.a) b) a) 2. ==[ alpha ]==> (((^x.x) b) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 265/2004. ------ 1. ==[ start ]==> ((^a.a)((^a.a) b)) 2. ==[ alpha ]==> ((^x.x)((^y.y) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 266/2007. ------ 1. ==[ start ]==> ((a a)(^b.b)) 2. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 267/2013. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 268/2016. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 269/2031. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(^y.y))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 270/2043. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 3. ==[ beta ]==> ((^y.y)(^z.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 271/2052. ------ 1. ==[ start ]==> (((a a) a)(^a.b)) 2. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 272/2058. ------ 1. ==[ start ]==> ((^a.b)((a a) a)) 2. ==[ alpha ]==> ((^x.b)((a a) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 273/2061. ------ 1. ==[ start ]==> ((a b)(^c.a)) 2. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 274/2070. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 275/2079. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 276/2094. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 277/2097. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 278/2106. ------ 1. ==[ start ]==> (((^a.a) b)(^a.a)) 2. ==[ alpha ]==> (((^x.x) b)(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 279/2118. ------ 1. ==[ start ]==> ((a a)((^a.a) b)) 2. ==[ alpha ]==> ((a a)((^x.x) b)) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 280/2127. ------ 1. ==[ start ]==> ((a (^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 281/2136. ------ 1. ==[ start ]==> (((^a.a) a)(b a)) 2. ==[ alpha ]==> (((^x.x) a)(b a)) 3. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 282/2145. ------ 1. ==[ start ]==> ((a (a a))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 283/2154. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 284/2163. ------ 1. ==[ start ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 285/2172. ------ 1. ==[ start ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 286/2181. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 287/2190. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 288/2208. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 289/2217. ------ 1. ==[ start ]==> (((^a.a) b)(a a)) 2. ==[ alpha ]==> (((^x.x) b)(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 290/2225. ------ 1. ==[ start ]==> (^a.((a a)(a a))) 2. ==[ alpha ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 291/2226. ------ 1. ==[ start ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 292/2238. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.b)) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 293/2283. ------ 1. ==[ start ]==> ((^a.b)(^a.b)) 2. ==[ alpha ]==> ((^x.b)(^y.b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 294/2319. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 295/2331. ------ 1. ==[ start ]==> (((^a.a) b) b) 2. ==[ alpha ]==> (((^x.x) b) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 296/2340. ------ 1. ==[ start ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 297/2346. ------ 1. ==[ start ]==> ((^a.a)((a a)(a a))) 2. ==[ alpha ]==> ((^x.x)((a a)(a a))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 298/2355. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 299/2358. ------ 1. ==[ start ]==> ((a (^a.a))(^b.b)) 2. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 300/2367. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 301/2373. ------ 1. ==[ start ]==> ((^a.(a a))(b a)) 2. ==[ alpha ]==> ((^x.(x x))(b a)) 3. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 302/2394. ------ 1. ==[ start ]==> (((a a) a)(^b.(a a))) 2. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 303/2400. ------ 1. ==[ start ]==> ((^a.b)(a b)) 2. ==[ alpha ]==> ((^x.b)(a b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 304/2403. ------ 1. ==[ start ]==> ((a b)(^a.b)) 2. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 305/2421. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 306/2436. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 307/2439. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 308/2448. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 309/2457. ------ 1. ==[ start ]==> (((a a)(a a))(^a.a)) 2. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 310/2469. ------ 1. ==[ start ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 311/2478. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 312/2487. ------ 1. ==[ start ]==> (((^a.a) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 3. ==[ beta ]==> (a (a (^y.(^z.z)))) 4. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 313/2496. ------ 1. ==[ start ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 314/2505. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 315/2514. ------ 1. ==[ start ]==> (((a a) a)((^a.a)(a a))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 316/2523. ------ 1. ==[ start ]==> ((a b)(a b)) REDUCED to normal form. ------ 317/2532. ------ 1. ==[ start ]==> (((^a.a)(a a))((a a) a)) 2. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 3. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 318/2541. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 319/2559. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 320/2568. ------ 1. ==[ start ]==> (((^a.a) b)(a (^a.a))) 2. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 3. ==[ beta ]==> (b (a (^y.y))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 321/2577. ------ 1. ==[ start ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 322/2585. ------ 1. ==[ start ]==> (^a.(b (^a.a))) 2. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 323/2586. ------ 1. ==[ start ]==> (a (b (^a.a))) 2. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 324/2616. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 325/2643. ------ 1. ==[ start ]==> ((^a.b)(^b.(a a))) 2. ==[ alpha ]==> ((^x.b)(^y.(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 326/2679. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 327/2691. ------ 1. ==[ start ]==> (((^a.a) b) c) 2. ==[ alpha ]==> (((^x.x) b) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 328/2700. ------ 1. ==[ start ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 329/2715. ------ 1. ==[ start ]==> ((^a.a)(b (^a.a))) 2. ==[ alpha ]==> ((^x.x)(b (^y.y))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 330/2724. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 331/2736. ------ 1. ==[ start ]==> (((^a.a) a)(^b.b)) 2. ==[ alpha ]==> (((^x.x) a)(^y.y)) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 332/2742. ------ 1. ==[ start ]==> ((^a.(a a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 333/2745. ------ 1. ==[ start ]==> ((a (a a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 334/2769. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 335/2772. ------ 1. ==[ start ]==> ((a b)(^b.(a a))) 2. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 336/2781. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.b)) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 3. ==[ beta ]==> ((a a)(^y.b)) 4. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 337/2805. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 338/2808. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 339/2817. ------ 1. ==[ start ]==> (((^a.a) b)(^b.a)) 2. ==[ alpha ]==> (((^x.x) b)(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 340/2826. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 341/2847. ------ 1. ==[ start ]==> ((a a)(b (^a.a))) 2. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 342/2856. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(a a))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 343/2865. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a) b)) 2. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 3. ==[ beta ]==> (a ((^y.y) b)) 4. ==[ alpha ]==> (a ((^x.x) b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 344/2874. ------ 1. ==[ start ]==> ((a (a a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 345/2883. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 346/2892. ------ 1. ==[ start ]==> (((a a) a)((a a)(^a.a))) 2. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 347/2901. ------ 1. ==[ start ]==> ((a b)((^a.a)(a a))) 2. ==[ alpha ]==> ((a b)((^x.x)(a a))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 348/2910. ------ 1. ==[ start ]==> (((^a.a)(a a))(a b)) 2. ==[ alpha ]==> (((^x.x)(a a))(a b)) 3. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 349/2919. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 350/2937. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 351/2946. ------ 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)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 352/2955. ------ 1. ==[ start ]==> (((a a)(a a))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 353/2972. ------ 1. ==[ start ]==> (^a.((^a.(^a.a)) a)) 2. ==[ alpha ]==> (^x.((^y.(^z.z)) x)) 3. ==[ eta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 354/2973. ------ 1. ==[ start ]==> (a ((^a.(^a.a)) a)) 2. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 355/3003. ------ 1. ==[ start ]==> ((^a.(a a))(^b.b)) 2. ==[ alpha ]==> ((^x.(x x))(^y.y)) 3. ==[ beta ]==> ((^y.y)(^y.y)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 356/3030. ------ 1. ==[ start ]==> ((^a.b)(^c.(^a.a))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 357/3066. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 358/3105. ------ 1. ==[ start ]==> (((^a.(^a.a)) a) a) 2. ==[ alpha ]==> (((^x.(^y.y)) a) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 359/3111. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) 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. ------ 360/3120. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 361/3138. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a) b)) 2. ==[ alpha ]==> ((^x.(x x))((^y.y) b)) 3. ==[ beta ]==> (((^y.y) b)((^y.y) 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. ------ 362/3141. ------ 1. ==[ start ]==> ((a (a a))(^b.b)) 2. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 363/3150. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 364/3165. ------ 1. ==[ start ]==> ((^a.b)((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.b)((a a)(^y.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 365/3168. ------ 1. ==[ start ]==> ((a b)(^c.(^a.a))) 2. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 366/3177. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(a a))) 3. ==[ beta ]==> ((a a)(^y.(a a))) 4. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 367/3186. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.b)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 368/3201. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 369/3204. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 370/3213. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(a a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(y y))) 3. ==[ beta ]==> (b (^y.(y y))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 371/3222. ------ 1. ==[ start ]==> (((a a)(a a))(^b.a)) 2. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 372/3240. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 373/3245. ------ 1. ==[ start ]==> (^a.(^a.(a (^a.a)))) 2. ==[ alpha ]==> (^x.(^y.(y (^z.z)))) REDUCED to normal form. ------ 374/3246. ------ 1. ==[ start ]==> (a (^a.(a (^a.a)))) 2. ==[ alpha ]==> (a (^x.(x (^y.y)))) REDUCED to normal form. ------ 375/3252. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 376/3261. ------ 1. ==[ start ]==> ((a (^a.a))(b (^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 377/3270. ------ 1. ==[ start ]==> (((^a.a) a)((a a)(a a))) 2. ==[ alpha ]==> (((^x.x) a)((a a)(a a))) 3. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 378/3279. ------ 1. ==[ start ]==> ((a (a a))((^a.a) b)) 2. ==[ alpha ]==> ((a (a a))((^x.x) b)) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 379/3288. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 380/3297. ------ 1. ==[ start ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 381/3306. ------ 1. ==[ start ]==> ((a b)((a a)(^a.a))) 2. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 382/3315. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 3. ==[ beta ]==> ((a a)((^y.y)(a a))) 4. ==[ alpha ]==> ((a a)((^x.x)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 383/3324. ------ 1. ==[ start ]==> (((a a)(^a.a))(a b)) 2. ==[ alpha ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 384/3342. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 385/3351. ------ 1. ==[ start ]==> (((^a.a) b)(a (a a))) 2. ==[ alpha ]==> (((^x.x) b)(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 386/3360. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a) a)) 2. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 387/3378. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a a)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 388/3384. ------ 1. ==[ start ]==> ((^a.(a (^a.a))) a) 2. ==[ alpha ]==> ((^x.(x (^y.y))) a) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 389/3386. ------ 1. ==[ start ]==> (^a.(a (a (^a.a)))) 2. ==[ alpha ]==> (^x.(x (x (^y.y)))) REDUCED to normal form. ------ 390/3387. ------ 1. ==[ start ]==> (a (a (a (^a.a)))) 2. ==[ alpha ]==> (a (a (a (^x.x)))) REDUCED to normal form. ------ 391/3390. ------ 1. ==[ start ]==> ((^a.a)(^a.(a (^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. ------ 392/3519. ------ 1. ==[ start ]==> (((^a.(^a.a)) a) b) 2. ==[ alpha ]==> (((^x.(^y.y)) a) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 393/3525. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.z)) 3. ==[ beta ]==> ((^z.z)(^y.y)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 394/3528. ------ 1. ==[ start ]==> ((a (a (^a.a))) a) 2. ==[ alpha ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 395/3534. ------ 1. ==[ start ]==> ((^a.a)(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 3. ==[ beta ]==> (a (a (^y.y))) 4. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 396/3537. ------ 1. ==[ start ]==> ((a a)(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 397/3543. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 398/3561. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(a a))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(a a))) 3. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 399/3573. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 400/3582. ------ 1. ==[ start ]==> (((a a) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 401/3588. ------ 1. ==[ start ]==> ((^a.b)(b a)) 2. ==[ alpha ]==> ((^x.b)(b a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 402/3609. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 403/3624. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 404/3636. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 405/3645. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 406/3663. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 407/3669. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a a)) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 408/3672. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.a)) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 409/3677. ------ 1. ==[ start ]==> (^a.(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 410/3678. ------ 1. ==[ start ]==> (a (^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 411/3684. ------ 1. ==[ start ]==> ((a a)(a (a (^a.a)))) 2. ==[ alpha ]==> ((a a)(a (a (^x.x)))) REDUCED to normal form. ------ 412/3693. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 413/3702. ------ 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. ------ 414/3711. ------ 1. ==[ start ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 415/3720. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) b)) 3. ==[ beta ]==> ((^y.y)((^z.z) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 416/3729. ------ 1. ==[ start ]==> (((a a) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 417/3738. ------ 1. ==[ start ]==> ((a b)(b a)) REDUCED to normal form. ------ 418/3747. ------ 1. ==[ start ]==> (((^a.a)(a a))((a a)(^a.a))) 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. ------ 419/3756. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 420/3774. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 421/3783. ------ 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))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 422/3792. ------ 1. ==[ start ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 423/3810. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a (^z.z))) 3. ==[ beta ]==> ((^y.y)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 424/3816. ------ 1. ==[ start ]==> ((^a.(a (^a.a))) b) 2. ==[ alpha ]==> ((^x.(x (^y.y))) b) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 425/3819. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a a)) 2. ==[ alpha ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 426/3827. ------ 1. ==[ start ]==> (^a.((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 427/3828. ------ 1. ==[ start ]==> (a ((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 428/3831. ------ 1. ==[ start ]==> ((^a.a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 429/3840. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 430/3885. ------ 1. ==[ start ]==> ((^a.b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 431/3921. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 432/3966. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^z.(^x1.x1))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 433/3969. ------ 1. ==[ start ]==> ((a (a (^a.a))) b) 2. ==[ alpha ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 434/3978. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a))) a) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) 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. ------ 435/3984. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 436/3987. ------ 1. ==[ start ]==> ((a a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 437/3993. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 438/3996. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 439/4011. ------ 1. ==[ start ]==> ((^a.(a a))(b (^a.a))) 2. ==[ alpha ]==> ((^x.(x x))(b (^y.y))) 3. ==[ beta ]==> ((b (^y.y))(b (^y.y))) 4. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 440/4032. ------ 1. ==[ start ]==> (((a a) a)(^b.b)) 2. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 441/4038. ------ 1. ==[ start ]==> ((^a.b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(a (^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 442/4041. ------ 1. ==[ start ]==> ((a b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 443/4074. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 444/4077. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 445/4086. ------ 1. ==[ start ]==> (((^a.a) b)(^c.a)) 2. ==[ alpha ]==> (((^x.x) b)(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 446/4095. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 447/4113. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 448/4119. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (^z.z))) 3. ==[ beta ]==> ((a (^z.z))(^y.y)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 449/4122. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 450/4131. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 451/4143. ------ 1. ==[ start ]==> ((a a)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 452/4152. ------ 1. ==[ start ]==> ((a (^a.a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 453/4161. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> (a ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 454/4170. ------ 1. ==[ start ]==> ((a (a a))(b (^a.a))) 2. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 455/4179. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a a))) 3. ==[ beta ]==> ((^y.y)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 456/4188. ------ 1. ==[ start ]==> (((a a) a)((^a.a) b)) 2. ==[ alpha ]==> (((a a) a)((^x.x) b)) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 457/4197. ------ 1. ==[ start ]==> ((a b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 458/4206. ------ 1. ==[ start ]==> (((^a.a)(a a))(b a)) 2. ==[ alpha ]==> (((^x.x)(a a))(b a)) 3. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 459/4215. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 460/4233. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 461/4242. ------ 1. ==[ start ]==> (((^a.a) b)((a a) a)) 2. ==[ alpha ]==> (((^x.x) b)((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 462/4251. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)(^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. ------ 463/4269. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z) a)) 3. ==[ beta ]==> ((^y.y)((^z.z) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 464/4278. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 465/4287. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 466/4295. ------ 1. ==[ start ]==> (^a.((a a) b)) 2. ==[ alpha ]==> (^x.((x x) b)) REDUCED to normal form. ------ 467/4296. ------ 1. ==[ start ]==> (a ((a a) b)) REDUCED to normal form. ------ 468/4308. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 469/4353. ------ 1. ==[ start ]==> ((^a.b)(^b.b)) 2. ==[ alpha ]==> ((^x.b)(^y.y)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 470/4389. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 471/4434. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.a)) 3. ==[ beta ]==> ((^z.a)(^y.y)) 4. ==[ alpha ]==> ((^x.a)(^y.y)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 472/4446. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a))) b) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) b) 3. ==[ beta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 473/4455. ------ 1. ==[ start ]==> (((a a) b) a) REDUCED to normal form. ------ 474/4461. ------ 1. ==[ start ]==> ((^a.a)((a a) b)) 2. ==[ alpha ]==> ((^x.x)((a a) b)) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 475/4470. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 476/4473. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 477/4482. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(a (^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. ------ 478/4488. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 479/4515. ------ 1. ==[ start ]==> ((^a.b)((^a.a) b)) 2. ==[ alpha ]==> ((^x.b)((^y.y) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 480/4518. ------ 1. ==[ start ]==> ((a b)(^b.b)) 2. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 481/4527. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 482/4551. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 483/4554. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 484/4563. ------ 1. ==[ start ]==> (((^a.a) b)(^a.b)) 2. ==[ alpha ]==> (((^x.x) b)(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 485/4590. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 486/4596. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((^z.z) a)(^y.y)) 4. ==[ alpha ]==> (((^x.x) a)(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 487/4599. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.a)) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.a)) REDUCED to normal form. ------ 488/4608. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 489/4617. ------ 1. ==[ start ]==> (((a a) b)(^a.a)) 2. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 490/4629. ------ 1. ==[ start ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 491/4638. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 492/4647. ------ 1. ==[ start ]==> (((^a.a) a)(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(a (a (^y.y)))) 3. ==[ beta ]==> (a (a (a (^y.y)))) 4. ==[ alpha ]==> (a (a (a (^x.x)))) REDUCED to normal form. ------ 493/4656. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 494/4665. ------ 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. ------ 495/4674. ------ 1. ==[ start ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 496/4683. ------ 1. ==[ start ]==> ((a b)((^a.a) b)) 2. ==[ alpha ]==> ((a b)((^x.x) b)) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 497/4692. ------ 1. ==[ start ]==> (((^a.a)(a a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 498/4701. ------ 1. ==[ start ]==> (((a a)(^a.a))(b a)) 2. ==[ alpha ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 499/4719. ------ 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. ------ 500/4728. ------ 1. ==[ start ]==> (((^a.a) b)(a b)) 2. ==[ alpha ]==> (((^x.x) b)(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 501/4737. ------ 1. ==[ start ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 502/4755. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 503/4764. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y) a)) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 504/4773. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 505/4782. ------ 1. ==[ start ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 506/4790. ------ 1. ==[ start ]==> (^a.(b (a a))) 2. ==[ alpha ]==> (^x.(b (x x))) REDUCED to normal form. ------ 507/4791. ------ 1. ==[ start ]==> (a (b (a a))) REDUCED to normal form. ------ 508/4821. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(a (^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. ------ 509/4848. ------ 1. ==[ start ]==> ((^a.b)(^c.(a a))) 2. ==[ alpha ]==> ((^x.b)(^y.(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 510/4929. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(z z))) 3. ==[ beta ]==> ((^z.(z z))(^y.y)) 4. ==[ alpha ]==> ((^x.(x x))(^y.y)) 5. ==[ beta ]==> ((^y.y)(^y.y)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 511/4950. ------ 1. ==[ start ]==> (((a a) b) b) REDUCED to normal form. ------ 512/4965. ------ 1. ==[ start ]==> ((^a.a)(b (a a))) 2. ==[ alpha ]==> ((^x.x)(b (a a))) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 513/4974. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 514/4986. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 515/4992. ------ 1. ==[ start ]==> ((^a.(a a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(a (a (^y.y)))) 3. ==[ beta ]==> ((a (a (^y.y)))(a (a (^y.y)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 516/4995. ------ 1. ==[ start ]==> ((a (a a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 517/5019. ------ 1. ==[ start ]==> ((^a.b)((a a)(a a))) 2. ==[ alpha ]==> ((^x.b)((a a)(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 518/5022. ------ 1. ==[ start ]==> ((a b)(^c.(a a))) 2. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 519/5031. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.b)) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 520/5040. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 521/5055. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 522/5067. ------ 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. ------ 523/5076. ------ 1. ==[ start ]==> (((a a)(a a))(^a.b)) 2. ==[ alpha ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 524/5094. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 525/5100. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (a a))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 526/5103. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 527/5112. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 528/5121. ------ 1. ==[ start ]==> (((a a) b)(^a.(^a.a))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 529/5142. ------ 1. ==[ start ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 530/5151. ------ 1. ==[ start ]==> ((a (^a.a))((a a) b)) 2. ==[ alpha ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 531/5160. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 532/5169. ------ 1. ==[ start ]==> ((a (a a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))(a (a (^x.x)))) REDUCED to normal form. ------ 533/5178. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 534/5187. ------ 1. ==[ start ]==> (((a a) a)(b (^a.a))) 2. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 535/5196. ------ 1. ==[ start ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 536/5205. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y) b)) 3. ==[ beta ]==> ((a a)((^y.y) b)) 4. ==[ alpha ]==> ((a a)((^x.x) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 537/5214. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 538/5232. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 539/5241. ------ 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))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 540/5250. ------ 1. ==[ start ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 541/5268. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 542/5277. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (a a))) REDUCED to normal form. ------ 543/5286. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 544/5295. ------ 1. ==[ start ]==> (((a a) b)(a (^a.a))) 2. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 545/5312. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 546/5313. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 547/5343. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 548/5451. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^z.(^x1.x1))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 549/5472. ------ 1. ==[ start ]==> (((a a) b) c) REDUCED to normal form. ------ 550/5490. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a)) a) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z)) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 551/5496. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^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. ------ 552/5505. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 553/5523. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^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. ------ 554/5526. ------ 1. ==[ start ]==> ((a (a a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 555/5535. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 556/5550. ------ 1. ==[ start ]==> ((^a.b)(b (^a.a))) 2. ==[ alpha ]==> ((^x.b)(b (^y.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 557/5571. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.b)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 558/5586. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 559/5598. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 560/5607. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 561/5631. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^z.z)(^x1.x1))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 562/5634. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 563/5643. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 564/5652. ------ 1. ==[ start ]==> (((a a) b)(^b.a)) 2. ==[ alpha ]==> (((a a) b)(^x.a)) REDUCED to normal form. ------ 565/5670. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 566/5682. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 567/5691. ------ 1. ==[ start ]==> ((a (^a.a))(b (a a))) 2. ==[ alpha ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 568/5700. ------ 1. ==[ start ]==> (((^a.a) a)((a a) b)) 2. ==[ alpha ]==> (((^x.x) a)((a a) b)) 3. ==[ beta ]==> (a ((a a) b)) REDUCED to normal form. ------ 569/5709. ------ 1. ==[ start ]==> ((a (a a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 570/5718. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(a (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 571/5727. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 572/5736. ------ 1. ==[ start ]==> ((a b)(b (^a.a))) 2. ==[ alpha ]==> ((a b)(b (^x.x))) REDUCED to normal form. ------ 573/5745. ------ 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. ------ 574/5754. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y) b)) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 575/5772. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 576/5781. ------ 1. ==[ start ]==> (((^a.a) b)((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.x) b)((a a)(^y.y))) 3. ==[ beta ]==> (b ((a a)(^y.y))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 577/5790. ------ 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. ------ 578/5808. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 579/5817. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 580/5826. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 581/5835. ------ 1. ==[ start ]==> (((a a) b)((^a.a) a)) 2. ==[ alpha ]==> (((a a) b)((^x.x) a)) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 582/5853. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 583/5861. ------ 1. ==[ start ]==> (^a.((a (^a.a)) a)) 2. ==[ alpha ]==> (^x.((x (^y.y)) x)) REDUCED to normal form. ------ 584/5862. ------ 1. ==[ start ]==> (a ((a (^a.a)) a)) 2. ==[ alpha ]==> (a ((a (^x.x)) a)) REDUCED to normal form. ------ 585/5955. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 586/6039. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a)) b) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z)) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 587/6048. ------ 1. ==[ start ]==> (((a (^a.a)) a) a) 2. ==[ alpha ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 588/6054. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a)) 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. ------ 589/6063. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 590/6081. ------ 1. ==[ start ]==> ((^a.(a a))((a a) b)) 2. ==[ alpha ]==> ((^x.(x x))((a a) b)) 3. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 591/6093. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 592/6102. ------ 1. ==[ start ]==> (((a a) a)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 593/6108. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 594/6144. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 595/6147. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 596/6183. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 597/6189. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a) a)) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 598/6201. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 599/6210. ------ 1. ==[ start ]==> (((a a) b)(^a.(a a))) 2. ==[ alpha ]==> (((a a) b)(^x.(x x))) REDUCED to normal form. ------ 600/6228. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 601/6237. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.a)) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 602/6249. ------ 1. ==[ start ]==> ((a a)((a (^a.a)) a)) 2. ==[ alpha ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 603/6258. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 604/6267. ------ 1. ==[ start ]==> (((^a.a) a)(b (a a))) 2. ==[ alpha ]==> (((^x.x) a)(b (a a))) 3. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 605/6276. ------ 1. ==[ start ]==> ((a (a a))((a a) b)) REDUCED to normal form. ------ 606/6285. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 607/6294. ------ 1. ==[ start ]==> (((a a) a)(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)(a (a (^x.x)))) REDUCED to normal form. ------ 608/6303. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a b)((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 609/6312. ------ 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. ------ 610/6321. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 611/6339. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 612/6348. ------ 1. ==[ start ]==> (((^a.a) b)(b a)) 2. ==[ alpha ]==> (((^x.x) b)(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 613/6357. ------ 1. ==[ start ]==> (((a a)(a a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 614/6375. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 615/6384. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a) a)) REDUCED to normal form. ------ 616/6393. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)(^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. ------ 617/6402. ------ 1. ==[ start ]==> (((a a) b)(a (a a))) REDUCED to normal form. ------ 618/6420. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 619/6429. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a a)) 2. ==[ alpha ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 620/6495. ------ 1. ==[ start ]==> ((^a.b)(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(y (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 621/6531. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 622/6576. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.b)) 3. ==[ beta ]==> ((^z.b)(^y.y)) 4. ==[ alpha ]==> ((^x.b)(^y.y)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 623/6624. ------ 1. ==[ start ]==> (((a (^a.a)) a) b) 2. ==[ alpha ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 624/6648. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 625/6666. ------ 1. ==[ start ]==> ((^a.(a a))(b (a a))) 2. ==[ alpha ]==> ((^x.(x x))(b (a a))) 3. ==[ beta ]==> ((b (a a))(b (a a))) REDUCED to normal form. ------ 626/6687. ------ 1. ==[ start ]==> (((a a) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 627/6693. ------ 1. ==[ start ]==> ((^a.b)(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(a (a (^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 628/6696. ------ 1. ==[ start ]==> ((a b)(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 629/6729. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 630/6732. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 631/6741. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 632/6768. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 633/6774. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a b)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 634/6777. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.b)) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.b)) REDUCED to normal form. ------ 635/6795. ------ 1. ==[ start ]==> (((a a) b)(^b.(^a.a))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 636/6813. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.a)) 3. ==[ beta ]==> ((^y.y)(^x1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 637/6822. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 638/6836. ------ 1. ==[ start ]==> (^a.(^b.(a (^a.a)))) 2. ==[ alpha ]==> (^x.(^y.(x (^z.z)))) REDUCED to normal form. ------ 639/6837. ------ 1. ==[ start ]==> (a (^b.(a (^a.a)))) 2. ==[ alpha ]==> (a (^x.(a (^y.y)))) REDUCED to normal form. ------ 640/6852. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 641/6861. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 642/6870. ------ 1. ==[ start ]==> ((a (a a))(b (a a))) REDUCED to normal form. ------ 643/6879. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((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. ------ 644/6888. ------ 1. ==[ start ]==> (((a a) a)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 645/6897. ------ 1. ==[ start ]==> ((a b)(a (a (^a.a)))) 2. ==[ alpha ]==> ((a b)(a (a (^x.x)))) REDUCED to normal form. ------ 646/6906. ------ 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)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 647/6915. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 648/6933. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 649/6942. ------ 1. ==[ start ]==> (((^a.a) b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 650/6951. ------ 1. ==[ start ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 651/6969. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 652/6978. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a b)) 2. ==[ alpha ]==> ((a (a (^x.x)))(a b)) REDUCED to normal form. ------ 653/6987. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 654/6996. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 655/7014. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 656/7023. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 657/7040. ------ 1. ==[ start ]==> (^a.((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (^x.((^y.y)(x (^z.z)))) 3. ==[ beta ]==> (^x.(x (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 658/7041. ------ 1. ==[ start ]==> (a ((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (a ((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (a (a (^y.y))) 4. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 659/7044. ------ 1. ==[ start ]==> ((^a.a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 3. ==[ beta ]==> (^y.(a (^z.z))) 4. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 660/7098. ------ 1. ==[ start ]==> ((^a.b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 661/7179. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(a a))) 3. ==[ beta ]==> ((^z.(a a))(^y.y)) 4. ==[ alpha ]==> ((^x.(a a))(^y.y)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 662/7245. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a))) 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. ------ 663/7251. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 664/7254. ------ 1. ==[ start ]==> ((a a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 665/7278. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 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. ------ 666/7305. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 667/7308. ------ 1. ==[ start ]==> ((a b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 668/7317. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(a (^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. ------ 669/7341. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 670/7353. ------ 1. ==[ start ]==> (((^a.a) b)(^b.b)) 2. ==[ alpha ]==> (((^x.x) b)(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 671/7362. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 672/7386. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((^z.z)(a a))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 673/7389. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 674/7398. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 675/7407. ------ 1. ==[ start ]==> (((a a) b)(^c.a)) 2. ==[ alpha ]==> (((a a) b)(^x.a)) REDUCED to normal form. ------ 676/7425. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(x1 x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 677/7434. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.a)) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.a)) REDUCED to normal form. ------ 678/7452. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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. ------ 679/7464. ------ 1. ==[ start ]==> ((a a)((^a.a)(a (^a.a)))) 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. ------ 680/7482. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y)) a)) 3. ==[ beta ]==> (a ((a (^y.y)) a)) 4. ==[ alpha ]==> (a ((a (^x.x)) a)) REDUCED to normal form. ------ 681/7491. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 682/7500. ------ 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. ------ 683/7509. ------ 1. ==[ start ]==> (((a a) a)((a a) b)) REDUCED to normal form. ------ 684/7518. ------ 1. ==[ start ]==> ((a b)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 685/7527. ------ 1. ==[ start ]==> (((^a.a)(a a))(a (a (^a.a)))) 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. ------ 686/7536. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 687/7554. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 688/7563. ------ 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)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 689/7572. ------ 1. ==[ start ]==> (((a a)(a a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 690/7590. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)(^z.z))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 691/7599. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(a a))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 692/7608. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a b)) 3. ==[ beta ]==> ((^y.(^z.z))(a b)) 4. ==[ alpha ]==> ((^x.(^y.y))(a b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 693/7617. ------ 1. ==[ start ]==> (((a a) b)((a a) a)) REDUCED to normal form. ------ 694/7635. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(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. ------ 695/7644. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) a)) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 696/7662. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(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. ------ 697/7670. ------ 1. ==[ start ]==> (^a.((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((x x)(^y.(^z.z)))) REDUCED to normal form. ------ 698/7671. ------ 1. ==[ start ]==> (a ((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 699/7683. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 700/7728. ------ 1. ==[ start ]==> ((^a.b)(^c.b)) 2. ==[ alpha ]==> ((^x.b)(^y.b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 701/7875. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a))) b) 2. ==[ alpha ]==> (((^x.x)(a (^y.y))) b) 3. ==[ beta ]==> ((a (^y.y)) b) 4. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 702/7884. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a))) a) 2. ==[ alpha ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 703/7890. ------ 1. ==[ start ]==> ((^a.a)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 704/7899. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 705/7902. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 706/7917. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y)) a)) 3. ==[ beta ]==> (((a (^y.y)) a)((a (^y.y)) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y)) a)) REDUCED to normal form. ------ 707/7944. ------ 1. ==[ start ]==> ((^a.b)((a a) b)) 2. ==[ alpha ]==> ((^x.b)((a a) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 708/7947. ------ 1. ==[ start ]==> ((a b)(^c.b)) 2. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 709/7956. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 710/7965. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 711/7980. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 712/7992. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(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. ------ 713/8001. ------ 1. ==[ start ]==> (((a a)(a a))(^b.b)) 2. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 714/8025. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> (((a a)(^z.z))(^y.y)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 715/8037. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 716/8046. ------ 1. ==[ start ]==> (((a a) b)(^a.b)) 2. ==[ alpha ]==> (((a a) b)(^x.b)) REDUCED to normal form. ------ 717/8064. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 718/8073. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 719/8091. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 720/8100. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 721/8112. ------ 1. ==[ start ]==> ((a a)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 722/8121. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 723/8139. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (a a))((a (^x.x)) a)) REDUCED to normal form. ------ 724/8148. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 725/8157. ------ 1. ==[ start ]==> (((a a) a)(b (a a))) REDUCED to normal form. ------ 726/8166. ------ 1. ==[ start ]==> ((a b)((a a) b)) REDUCED to normal form. ------ 727/8175. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 728/8184. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 729/8202. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 730/8211. ------ 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. ------ 731/8220. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(a a))((^x.x) b)) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 732/8238. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b a)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 733/8247. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 734/8256. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 735/8265. ------ 1. ==[ start ]==> (((a a) b)(a b)) REDUCED to normal form. ------ 736/8283. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 737/8292. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (a a))) REDUCED to normal form. ------ 738/8310. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(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. ------ 739/8319. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 740/8327. ------ 1. ==[ start ]==> (^a.(b b)) 2. ==[ alpha ]==> (^x.(b b)) REDUCED to normal form. ------ 741/8328. ------ 1. ==[ start ]==> (a (b b)) REDUCED to normal form. ------ 742/8541. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a))) b) 2. ==[ alpha ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 743/8556. ------ 1. ==[ start ]==> ((^a.a)(b b)) 2. ==[ alpha ]==> ((^x.x)(b b)) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 744/8565. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 745/8577. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(a (^z.z)))) 3. ==[ beta ]==> (a (^y.(a (^z.z)))) 4. ==[ alpha ]==> (a (^x.(a (^y.y)))) REDUCED to normal form. ------ 746/8610. ------ 1. ==[ start ]==> ((^a.b)(b (a a))) 2. ==[ alpha ]==> ((^x.b)(b (a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 747/8631. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 748/8646. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 749/8685. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 750/8691. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b a)) 3. ==[ beta ]==> ((b a)(^y.y)) 4. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 751/8712. ------ 1. ==[ start ]==> (((a a) b)(^b.(a a))) 2. ==[ alpha ]==> (((a a) b)(^x.(a a))) REDUCED to normal form. ------ 752/8739. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 753/8757. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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. ------ 754/8766. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 755/8787. ------ 1. ==[ start ]==> ((a a)(b b)) REDUCED to normal form. ------ 756/8796. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 757/8805. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(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)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 758/8823. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z)) a)) 3. ==[ beta ]==> ((^y.y)((a (^z.z)) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) a)) 5. ==[ beta ]==> ((a (^y.y)) a) 6. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 759/8832. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 760/8841. ------ 1. ==[ start ]==> ((a b)(b (a a))) REDUCED to normal form. ------ 761/8850. ------ 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. ------ 762/8859. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 763/8877. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 764/8886. ------ 1. ==[ start ]==> (((^a.a) b)(b (^a.a))) 2. ==[ alpha ]==> (((^x.x) b)(b (^y.y))) 3. ==[ beta ]==> (b (b (^y.y))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 765/8895. ------ 1. ==[ start ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 766/8913. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 767/8922. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b a)) 2. ==[ alpha ]==> ((a (a (^x.x)))(b a)) REDUCED to normal form. ------ 768/8931. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 769/8940. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(a a))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(a a))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 770/8958. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((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. ------ 771/8967. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 772/8985. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^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. ------ 773/8994. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 774/9011. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(x x))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 775/9012. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(a a))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 776/9042. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(a (^a.a)))) 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 (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 777/9105. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 778/9150. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^z.(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 779/9243. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a)) a) 2. ==[ alpha ]==> (((^x.(^y.y))(a a)) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 780/9249. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(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. ------ 781/9258. ------ 1. ==[ start ]==> ((^a.(^a.a))(b b)) 2. ==[ alpha ]==> ((^x.(^y.y))(b b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 782/9276. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(a (^a.a)))) 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. ------ 783/9279. ------ 1. ==[ start ]==> ((a (a a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 784/9303. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 785/9339. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 786/9342. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 787/9378. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 788/9384. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 789/9387. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 790/9405. ------ 1. ==[ start ]==> (((a a) b)(^c.(^a.a))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 791/9423. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.b)) 3. ==[ beta ]==> ((^y.y)(^x1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 792/9450. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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. ------ 793/9459. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 794/9477. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 795/9489. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 796/9498. ------ 1. ==[ start ]==> ((a (^a.a))(b b)) 2. ==[ alpha ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 797/9507. ------ 1. ==[ start ]==> (((^a.a) a)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 798/9516. ------ 1. ==[ start ]==> ((a (a a))((^a.a)(a (^a.a)))) 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. ------ 799/9534. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a) a)((a (^x.x)) a)) REDUCED to normal form. ------ 800/9543. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 801/9552. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (a a))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (a a))) 3. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 802/9561. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((a a) b)) REDUCED to normal form. ------ 803/9579. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 804/9588. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x) 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. ------ 805/9597. ------ 1. ==[ start ]==> (((a a)(a a))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(a a))(b (^x.x))) REDUCED to normal form. ------ 806/9615. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 807/9624. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 808/9633. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b a)) 3. ==[ beta ]==> ((^y.(^z.z))(b a)) 4. ==[ alpha ]==> ((^x.(^y.y))(b a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 809/9642. ------ 1. ==[ start ]==> (((a a) b)((a a)(^a.a))) 2. ==[ alpha ]==> (((a a) b)((a a)(^x.x))) REDUCED to normal form. ------ 810/9660. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 811/9669. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a) a)) REDUCED to normal form. ------ 812/9687. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(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. ------ 813/9696. ------ 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. ------ 814/9714. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 815/9722. ------ 1. ==[ start ]==> (^a.((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (^x.((x (^y.y))(^z.z))) REDUCED to normal form. ------ 816/9723. ------ 1. ==[ start ]==> (a ((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (a ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 817/9816. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 818/9861. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.z)) 3. ==[ beta ]==> ((^z.z)(^y.y)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 819/9954. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a)) b) 2. ==[ alpha ]==> (((^x.(^y.y))(a a)) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 820/9963. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a)) a) 2. ==[ alpha ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 821/9969. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(^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. ------ 822/9978. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 823/9996. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 824/10008. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 5. ==[ beta ]==> (^y.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 825/10023. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.b)((a (^y.y)) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 826/10059. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 827/10062. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 828/10071. ------ 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. ------ 829/10104. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((^z.z) b)(^y.y)) 4. ==[ alpha ]==> (((^x.x) b)(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 830/10107. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.b)) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 831/10116. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 832/10143. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.(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)) REDUCED to normal form. ------ 833/10152. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.b)) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.b)) REDUCED to normal form. ------ 834/10170. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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. ------ 835/10179. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 836/10197. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 837/10206. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 838/10218. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 839/10227. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 840/10236. ------ 1. ==[ start ]==> (((^a.a) a)(b b)) 2. ==[ alpha ]==> (((^x.x) a)(b b)) 3. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 841/10245. ------ 1. ==[ start ]==> ((a (a a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 842/10254. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 843/10272. ------ 1. ==[ start ]==> ((a b)((a (^a.a)) a)) 2. ==[ alpha ]==> ((a b)((a (^x.x)) a)) REDUCED to normal form. ------ 844/10281. ------ 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 845/10290. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (a a))) REDUCED to normal form. ------ 846/10308. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)(^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. ------ 847/10317. ------ 1. ==[ start ]==> (((^a.a) b)(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(a (a (^y.y)))) 3. ==[ beta ]==> (b (a (a (^y.y)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 848/10326. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 849/10344. ------ 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 a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 850/10353. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y) b)) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 851/10362. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 852/10371. ------ 1. ==[ start ]==> (((a a) b)(b a)) REDUCED to normal form. ------ 853/10389. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 854/10398. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a b)) 2. ==[ alpha ]==> (((a (^x.x)) a)(a b)) REDUCED to normal form. ------ 855/10416. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^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. ------ 856/10425. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 857/10443. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(a (^z.z))) 3. ==[ beta ]==> ((^y.y)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 858/10452. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 859/10518. ------ 1. ==[ start ]==> ((^a.b)(^a.c)) 2. ==[ alpha ]==> ((^x.b)(^y.c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 860/10701. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a)) b) 2. ==[ alpha ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 861/10725. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 862/10743. ------ 1. ==[ start ]==> ((^a.(a a))(b b)) 2. ==[ alpha ]==> ((^x.(x x))(b b)) 3. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 863/10764. ------ 1. ==[ start ]==> (((a a) a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 864/10770. ------ 1. ==[ start ]==> ((^a.b)(a c)) 2. ==[ alpha ]==> ((^x.b)(a c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 865/10773. ------ 1. ==[ start ]==> ((a b)(^a.c)) 2. ==[ alpha ]==> ((a b)(^x.c)) REDUCED to normal form. ------ 866/10806. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 867/10818. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 868/10827. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 869/10851. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((^x.(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. ------ 870/10863. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 871/10872. ------ 1. ==[ start ]==> (((a a) b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 872/10899. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(a a))) REDUCED to normal form. ------ 873/10926. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 874/10944. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 875/10953. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 876/10967. ------ 1. ==[ start ]==> (^a.(^a.(^b.a))) 2. ==[ alpha ]==> (^x.(^y.(^z.y))) REDUCED to normal form. ------ 877/10968. ------ 1. ==[ start ]==> (a (^a.(^b.a))) 2. ==[ alpha ]==> (a (^x.(^y.x))) REDUCED to normal form. ------ 878/10983. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 879/10992. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a a))) 3. ==[ beta ]==> (a ((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 880/11001. ------ 1. ==[ start ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 881/11010. ------ 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. ------ 882/11019. ------ 1. ==[ start ]==> (((a a) a)((^a.a)(a (^a.a)))) 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. ------ 883/11028. ------ 1. ==[ start ]==> ((a b)(a c)) REDUCED to normal form. ------ 884/11037. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y)) a)) 3. ==[ beta ]==> ((a a)((a (^y.y)) a)) 4. ==[ alpha ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 885/11046. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 886/11064. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 887/11073. ------ 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)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 888/11082. ------ 1. ==[ start ]==> (((a a)(a a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(a (a (^x.x)))) REDUCED to normal form. ------ 889/11100. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 890/11109. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 891/11118. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a) 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. ------ 892/11127. ------ 1. ==[ start ]==> (((a a) b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 893/11145. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 894/11154. ------ 1. ==[ start ]==> (((a (^a.a)) 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. ------ 895/11172. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((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. ------ 896/11181. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 897/11199. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z) a)) 3. ==[ beta ]==> ((^y.y)((^z.z) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 898/11208. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 899/11223. ------ 1. ==[ start ]==> ((^a.(^b.a)) a) 2. ==[ alpha ]==> ((^x.(^y.x)) a) 3. ==[ beta ]==> (^y.a) 4. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 900/11225. ------ 1. ==[ start ]==> (^a.(a (^b.a))) 2. ==[ alpha ]==> (^x.(x (^y.x))) REDUCED to normal form. ------ 901/11226. ------ 1. ==[ start ]==> (a (a (^b.a))) 2. ==[ alpha ]==> (a (a (^x.a))) REDUCED to normal form. ------ 902/11229. ------ 1. ==[ start ]==> ((^a.a)(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 3. ==[ beta ]==> (^y.(^z.y)) 4. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 903/11283. ------ 1. ==[ start ]==> ((^a.b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(a (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 904/11481. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.a)) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.z)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 905/11484. ------ 1. ==[ start ]==> ((a (^b.a)) a) 2. ==[ alpha ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 906/11490. ------ 1. ==[ start ]==> ((^a.a)(a (^b.a))) 2. ==[ alpha ]==> ((^x.x)(a (^y.a))) 3. ==[ beta ]==> (a (^y.a)) 4. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 907/11493. ------ 1. ==[ start ]==> ((a a)(^a.(^b.a))) 2. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 908/11517. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((^y.(^z.z))(a a)) 8. ==[ alpha ]==> ((^x.(^y.y))(a a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 909/11544. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(a (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 910/11547. ------ 1. ==[ start ]==> ((a b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 911/11580. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 912/11592. ------ 1. ==[ start ]==> (((^a.a) b)(^c.b)) 2. ==[ alpha ]==> (((^x.x) b)(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 913/11601. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 914/11625. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (^z.z))) 3. ==[ beta ]==> ((b (^z.z))(^y.y)) 4. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 915/11646. ------ 1. ==[ start ]==> (((a a) b)(^b.b)) 2. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 916/11691. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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. ------ 917/11718. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 918/11727. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 919/11742. ------ 1. ==[ start ]==> ((^a.(^b.a))(a a)) 2. ==[ alpha ]==> ((^x.(^y.x))(a a)) 3. ==[ beta ]==> (^y.(a a)) 4. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 920/11745. ------ 1. ==[ start ]==> ((a (^b.a))(^a.a)) 2. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 921/11750. ------ 1. ==[ start ]==> (^a.(^b.c)) 2. ==[ alpha ]==> (^x.(^y.c)) REDUCED to normal form. ------ 922/11751. ------ 1. ==[ start ]==> (a (^b.c)) 2. ==[ alpha ]==> (a (^x.c)) REDUCED to normal form. ------ 923/11757. ------ 1. ==[ start ]==> ((a a)(a (^b.a))) 2. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 924/11775. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(^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. ------ 925/11784. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 926/11793. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 927/11802. ------ 1. ==[ start ]==> (((a a) a)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 928/11811. ------ 1. ==[ start ]==> ((a b)((^a.a)(a (^a.a)))) 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. ------ 929/11829. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 930/11847. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 931/11856. ------ 1. ==[ start ]==> (((^a.a) b)((a a) b)) 2. ==[ alpha ]==> (((^x.x) b)((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 932/11865. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)(^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. ------ 933/11883. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 934/11892. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 935/11901. ------ 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. ------ 936/11910. ------ 1. ==[ start ]==> (((a a) b)((^a.a) b)) 2. ==[ alpha ]==> (((a a) b)((^x.x) b)) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 937/11928. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 938/11937. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 939/11955. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(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. ------ 940/11964. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 941/11982. ------ 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 (a a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 942/11991. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 943/12006. ------ 1. ==[ start ]==> ((^a.(^b.a)) b) 2. ==[ alpha ]==> ((^x.(^y.x)) b) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 944/12009. ------ 1. ==[ start ]==> ((a (^b.a))(a a)) 2. ==[ alpha ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 945/12021. ------ 1. ==[ start ]==> ((^a.a)(^b.c)) 2. ==[ alpha ]==> ((^x.x)(^y.c)) 3. ==[ beta ]==> (^y.c) 4. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 946/12030. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 947/12075. ------ 1. ==[ start ]==> ((^a.b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 948/12273. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 949/12276. ------ 1. ==[ start ]==> ((a (^b.a)) b) 2. ==[ alpha ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 950/12294. ------ 1. ==[ start ]==> ((a a)(^b.c)) 2. ==[ alpha ]==> ((a a)(^x.c)) REDUCED to normal form. ------ 951/12300. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 952/12303. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 953/12318. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a (^y.y))(^z.z))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 954/12345. ------ 1. ==[ start ]==> ((^a.b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 955/12348. ------ 1. ==[ start ]==> ((a b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 956/12357. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(a (^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 957/12381. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 958/12420. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(a (^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. ------ 959/12426. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^z.(^x1.x1)) a)(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 960/12447. ------ 1. ==[ start ]==> (((a a) b)(^c.(a a))) 2. ==[ alpha ]==> (((a a) b)(^x.(a a))) REDUCED to normal form. ------ 961/12465. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^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. ------ 962/12492. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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. ------ 963/12501. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 964/12519. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 965/12528. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 966/12543. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (^z.z))) 3. ==[ beta ]==> (^y.(a (^z.z))) 4. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 967/12546. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 968/12576. ------ 1. ==[ start ]==> ((a (^a.a))(a (^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 969/12594. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 970/12603. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 971/12612. ------ 1. ==[ start ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 972/12621. ------ 1. ==[ start ]==> ((a b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 973/12630. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 974/12657. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))(^a.a))) 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. ------ 975/12666. ------ 1. ==[ start ]==> (((^a.a) b)(b (a a))) 2. ==[ alpha ]==> (((^x.x) b)(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 976/12675. ------ 1. ==[ start ]==> (((a a)(a a))((a a) b)) REDUCED to normal form. ------ 977/12693. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(a (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 978/12702. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 979/12711. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 980/12720. ------ 1. ==[ start ]==> (((a a) b)((a a)(a a))) REDUCED to normal form. ------ 981/12738. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 982/12747. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b a)) 2. ==[ alpha ]==> (((a (^x.x)) a)(b a)) REDUCED to normal form. ------ 983/12765. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^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. ------ 984/12774. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 985/12792. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 986/12801. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 987/12816. ------ 1. ==[ start ]==> ((^a.(^b.a)) c) 2. ==[ alpha ]==> ((^x.(^y.x)) c) 3. ==[ beta ]==> (^y.c) 4. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 988/12819. ------ 1. ==[ start ]==> ((a (^b.a))(a (^a.a))) 2. ==[ alpha ]==> ((a (^x.a))(a (^y.y))) REDUCED to normal form. ------ 989/12836. ------ 1. ==[ start ]==> (^a.((a a)(a (^a.a)))) 2. ==[ alpha ]==> (^x.((x x)(x (^y.y)))) REDUCED to normal form. ------ 990/12837. ------ 1. ==[ start ]==> (a ((a a)(a (^a.a)))) 2. ==[ alpha ]==> (a ((a a)(a (^x.x)))) REDUCED to normal form. ------ 991/12849. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.c)) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 992/12975. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(a (^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. ------ 993/13092. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.a)) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.a)) 3. ==[ beta ]==> (^y.(^z.a)) 4. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 994/13095. ------ 1. ==[ start ]==> ((a (^b.a)) c) 2. ==[ alpha ]==> ((a (^x.a)) c) REDUCED to normal form. ------ 995/13113. ------ 1. ==[ start ]==> (((a a)(a (^a.a))) a) 2. ==[ alpha ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 996/13119. ------ 1. ==[ start ]==> ((^a.a)((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 3. ==[ beta ]==> ((a a)(a (^y.y))) 4. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 997/13131. ------ 1. ==[ start ]==> ((a (^a.a))(^b.c)) 2. ==[ alpha ]==> ((a (^x.x))(^y.c)) REDUCED to normal form. ------ 998/13140. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.y))) 3. ==[ beta ]==> (a (^y.(^z.y))) 4. ==[ alpha ]==> (a (^x.(^y.x))) REDUCED to normal form. ------ 999/13173. ------ 1. ==[ start ]==> ((^a.b)(b b)) 2. ==[ alpha ]==> ((^x.b)(b b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1000/13194. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 1001/13209. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1002/13248. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 1003/13254. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (a (^z.z)))) 3. ==[ beta ]==> ((a (a (^z.z)))(^y.y)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 1004/13257. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 1005/13293. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1006/13302. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 1007/13329. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 1008/13356. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 1009/13371. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z) a)) 3. ==[ beta ]==> (^y.((^z.z) a)) 4. ==[ alpha ]==> (^x.((^y.y) a)) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 1010/13374. ------ 1. ==[ start ]==> ((a (^b.a))(^b.a)) 2. ==[ alpha ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 1011/13392. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 1012/13404. ------ 1. ==[ start ]==> ((a a)((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 1013/13422. ------ 1. ==[ start ]==> (((^a.a) a)(a (^b.a))) 2. ==[ alpha ]==> (((^x.x) a)(a (^y.a))) 3. ==[ beta ]==> (a (a (^y.a))) 4. ==[ alpha ]==> (a (a (^x.a))) REDUCED to normal form. ------ 1014/13440. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 1015/13449. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 1016/13458. ------ 1. ==[ start ]==> ((a b)(b b)) REDUCED to normal form. ------ 1017/13467. ------ 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. ------ 1018/13476. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 1019/13494. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 1020/13503. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a))(^a.a))) 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))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 1021/13512. ------ 1. ==[ start ]==> (((a a)(a a))(b (a a))) REDUCED to normal form. ------ 1022/13530. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1023/13539. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 1024/13548. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 1025/13557. ------ 1. ==[ start ]==> (((a a) b)(b (^a.a))) 2. ==[ alpha ]==> (((a a) b)(b (^x.x))) REDUCED to normal form. ------ 1026/13575. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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) 7. ==[ beta ]==> b REDUCED to normal form. ------ 1027/13584. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(^z.z)))) REDUCED to normal form. ------ 1028/13602. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((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. ------ 1029/13611. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 1030/13629. ------ 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 a) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 1031/13638. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 1032/13656. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a) a)) 2. ==[ alpha ]==> ((a (^x.a))((^y.y) a)) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 1033/13674. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 1034/13682. ------ 1. ==[ start ]==> (^a.(b (^a.(^a.a)))) 2. ==[ alpha ]==> (^x.(b (^y.(^z.z)))) REDUCED to normal form. ------ 1035/13683. ------ 1. ==[ start ]==> (a (b (^a.(^a.a)))) 2. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 1036/13713. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.y))) 3. ==[ beta ]==> ((^y.(^z.y))(^y.(^z.y))) 4. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.(^z.(^x1.z))) 6. ==[ alpha ]==> (^x.(^y.(^z.y))) REDUCED to normal form. ------ 1037/13821. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^z.(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1038/13938. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(z z))) 3. ==[ beta ]==> (^y.(^z.(z z))) 4. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 1039/13959. ------ 1. ==[ start ]==> (((a a)(a (^a.a))) b) 2. ==[ alpha ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 1040/13974. ------ 1. ==[ start ]==> ((^a.a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 1041/13983. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 1042/13995. ------ 1. ==[ start ]==> (((^a.a) a)(^b.c)) 2. ==[ alpha ]==> (((^x.x) a)(^y.c)) 3. ==[ beta ]==> (a (^y.c)) 4. ==[ alpha ]==> (a (^x.c)) REDUCED to normal form. ------ 1043/14001. ------ 1. ==[ start ]==> ((^a.(a a))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(x x))(a (^y.a))) 3. ==[ beta ]==> ((a (^y.a))(a (^y.a))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.a))) REDUCED to normal form. ------ 1044/14004. ------ 1. ==[ start ]==> ((a (a a))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.x))) REDUCED to normal form. ------ 1045/14028. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1046/14109. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^z.z)(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1047/14112. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 1048/14121. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(a (^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. ------ 1049/14157. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.b)) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 1050/14202. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 1051/14226. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (a a))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (a a))) 3. ==[ beta ]==> (^y.(a (a a))) 4. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 1052/14229. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(a a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(y y))) REDUCED to normal form. ------ 1053/14247. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 1054/14268. ------ 1. ==[ start ]==> ((a a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 1055/14277. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 1056/14295. ------ 1. ==[ start ]==> ((a (a a))(a (^b.a))) 2. ==[ alpha ]==> ((a (a a))(a (^x.a))) REDUCED to normal form. ------ 1057/14313. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 1058/14322. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 1059/14331. ------ 1. ==[ start ]==> (((^a.a)(a a))(b b)) 2. ==[ alpha ]==> (((^x.x)(a a))(b b)) 3. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 1060/14340. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 1061/14367. ------ 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. ------ 1062/14376. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(^a.a))) 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. ------ 1063/14394. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 1064/14403. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 1065/14412. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1066/14421. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 1067/14439. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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. ------ 1068/14448. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) b)) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 1069/14466. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b a)) 3. ==[ beta ]==> ((a (^y.y))(b a)) 4. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 1070/14475. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 1071/14493. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 1072/14502. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 1073/14520. ------ 1. ==[ start ]==> ((a (^b.a))(a (a a))) 2. ==[ alpha ]==> ((a (^x.a))(a (a a))) REDUCED to normal form. ------ 1074/14538. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 1075/14555. ------ 1. ==[ start ]==> (^a.((^a.(^a.a)) b)) 2. ==[ alpha ]==> (^x.((^y.(^z.z)) b)) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1076/14556. ------ 1. ==[ start ]==> (a ((^a.(^a.a)) b)) 2. ==[ alpha ]==> (a ((^x.(^y.y)) b)) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 1077/14586. ------ 1. ==[ start ]==> ((^a.(a a))(^b.c)) 2. ==[ alpha ]==> ((^x.(x x))(^y.c)) 3. ==[ beta ]==> ((^y.c)(^y.c)) 4. ==[ alpha ]==> ((^x.c)(^y.c)) 5. ==[ beta ]==> c REDUCED to normal form. ------ 1078/14649. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1079/14811. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 1080/14850. ------ 1. ==[ start ]==> (((^a.(^a.a)) b) a) 2. ==[ alpha ]==> (((^x.(^y.y)) b) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1081/14856. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1082/14865. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1083/14886. ------ 1. ==[ start ]==> ((a (a a))(^b.c)) 2. ==[ alpha ]==> ((a (a a))(^x.c)) REDUCED to normal form. ------ 1084/14895. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 1085/14910. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1086/14946. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1087/14949. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 1088/14958. ------ 1. ==[ start ]==> (((^a.a) b)(^a.c)) 2. ==[ alpha ]==> (((^x.x) b)(^y.c)) 3. ==[ beta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 1089/14991. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a) b)) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 1090/15003. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1091/15012. ------ 1. ==[ start ]==> (((a a) b)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 1092/15057. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 1093/15084. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 1094/15093. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 1095/15108. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1096/15111. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 1097/15129. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 1098/15147. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 1099/15159. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 1100/15168. ------ 1. ==[ start ]==> ((a (^a.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 1101/15177. ------ 1. ==[ start ]==> (((^a.a) a)((a a)(a (^a.a)))) 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. ------ 1102/15195. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.a))) 3. ==[ beta ]==> ((^y.y)(a (^z.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 1103/15213. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 1104/15222. ------ 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 1105/15231. ------ 1. ==[ start ]==> (((a a)(^a.a))(b b)) 2. ==[ alpha ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 1106/15249. ------ 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. ------ 1107/15258. ------ 1. ==[ start ]==> (((^a.a) b)(a c)) 2. ==[ alpha ]==> (((^x.x) b)(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 1108/15267. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 1109/15285. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 1110/15294. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a) b)) REDUCED to normal form. ------ 1111/15303. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1112/15312. ------ 1. ==[ start ]==> (((a a) b)(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(a (a (^x.x)))) REDUCED to normal form. ------ 1113/15330. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 1114/15339. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 1115/15357. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 1116/15366. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 1117/15384. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 1118/15393. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 1119/15411. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 1120/15429. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y) a)) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 1121/15447. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 1122/15455. ------ 1. ==[ start ]==> (^a.((a (^a.a))(a a))) 2. ==[ alpha ]==> (^x.((x (^y.y))(x x))) REDUCED to normal form. ------ 1123/15456. ------ 1. ==[ start ]==> (a ((a (^a.a))(a a))) 2. ==[ alpha ]==> (a ((a (^x.x))(a a))) REDUCED to normal form. ------ 1124/15711. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.a)) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.a)) 3. ==[ beta ]==> (^y.(^z.a)) 4. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 1125/15750. ------ 1. ==[ start ]==> (((^a.(^a.a)) b) b) 2. ==[ alpha ]==> (((^x.(^y.y)) b) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 1126/15759. ------ 1. ==[ start ]==> (((a (^a.a))(a a)) a) 2. ==[ alpha ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 1127/15765. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(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. ------ 1128/15774. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1129/15792. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 1130/15804. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.c)) 3. ==[ beta ]==> ((^y.y)(^z.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 1131/15813. ------ 1. ==[ start ]==> (((a a) a)(^a.(^b.a))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.x))) REDUCED to normal form. ------ 1132/15819. ------ 1. ==[ start ]==> ((^a.b)(c a)) 2. ==[ alpha ]==> ((^x.b)(c a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1133/15855. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1134/15867. ------ 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. ------ 1135/15900. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (a a))) 3. ==[ beta ]==> ((b (a a))(^y.y)) 4. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 1136/15921. ------ 1. ==[ start ]==> (((a a) b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 1137/15966. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.z)) 3. ==[ beta ]==> ((a (^y.y))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 1138/15975. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 1139/16002. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 1140/16017. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((a a) a)) 3. ==[ beta ]==> (^y.((a a) a)) 4. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 1141/16020. ------ 1. ==[ start ]==> ((a (^b.a))(^c.a)) 2. ==[ alpha ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 1142/16038. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 1143/16056. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1144/16065. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 1145/16077. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 1146/16086. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 1147/16095. ------ 1. ==[ start ]==> (((^a.a) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(b (^y.(^z.z)))) 3. ==[ beta ]==> (a (b (^y.(^z.z)))) 4. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 1148/16104. ------ 1. ==[ start ]==> ((a (a a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 1149/16122. ------ 1. ==[ start ]==> (((a a) a)(a (^b.a))) 2. ==[ alpha ]==> (((a a) a)(a (^x.a))) REDUCED to normal form. ------ 1150/16131. ------ 1. ==[ start ]==> ((a b)(c a)) REDUCED to normal form. ------ 1151/16140. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 1152/16149. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 1153/16167. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 1154/16176. ------ 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)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 1155/16203. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 1156/16212. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (a a))) REDUCED to normal form. ------ 1157/16221. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 1158/16230. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 1159/16248. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^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. ------ 1160/16257. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.y))) REDUCED to normal form. ------ 1161/16275. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 1162/16284. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 1163/16302. ------ 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)((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. ------ 1164/16311. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 1165/16329. ------ 1. ==[ start ]==> ((a (^b.a))((a a) a)) 2. ==[ alpha ]==> ((a (^x.a))((a a) a)) REDUCED to normal form. ------ 1166/16347. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 1167/16365. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a (^z.z))) 3. ==[ beta ]==> ((^y.y)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 1168/16374. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 1169/16440. ------ 1. ==[ start ]==> ((^a.b)(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1170/16638. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.b)) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.b)) 3. ==[ beta ]==> (^y.(^z.b)) 4. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 1171/16677. ------ 1. ==[ start ]==> (((^a.(^a.a)) b) c) 2. ==[ alpha ]==> (((^x.(^y.y)) b) c) 3. ==[ beta ]==> ((^y.y) c) 4. ==[ alpha ]==> ((^x.x) c) 5. ==[ beta ]==> c REDUCED to normal form. ------ 1172/16686. ------ 1. ==[ start ]==> (((a (^a.a))(a a)) b) 2. ==[ alpha ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 1173/16710. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 1174/16728. ------ 1. ==[ start ]==> ((^a.(a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 1175/16749. ------ 1. ==[ start ]==> (((a a) a)(^b.c)) 2. ==[ alpha ]==> (((a a) a)(^x.c)) REDUCED to normal form. ------ 1176/16755. ------ 1. ==[ start ]==> ((^a.b)(a (^b.a))) 2. ==[ alpha ]==> ((^x.b)(a (^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1177/16758. ------ 1. ==[ start ]==> ((a b)(^a.(^b.a))) 2. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 1178/16791. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1179/16803. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 1180/16812. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 1181/16836. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.y1))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1182/16857. ------ 1. ==[ start ]==> (((a a) b)(^c.b)) 2. ==[ alpha ]==> (((a a) b)(^x.b)) REDUCED to normal form. ------ 1183/16875. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.(a (^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. ------ 1184/16911. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 1185/16953. ------ 1. ==[ start ]==> ((^a.(^b.a))(a b)) 2. ==[ alpha ]==> ((^x.(^y.x))(a b)) 3. ==[ beta ]==> (^y.(a b)) 4. ==[ alpha ]==> (^x.(a b)) REDUCED to normal form. ------ 1186/16956. ------ 1. ==[ start ]==> ((a (^b.a))(^a.b)) 2. ==[ alpha ]==> ((a (^x.a))(^y.b)) REDUCED to normal form. ------ 1187/16974. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 1188/16992. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 1189/17001. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 1190/17031. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 1191/17040. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) b)) 3. ==[ beta ]==> (a ((^y.(^z.z)) b)) 4. ==[ alpha ]==> (a ((^x.(^y.y)) b)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 1192/17049. ------ 1. ==[ start ]==> ((a (a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 1193/17058. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 1194/17076. ------ 1. ==[ start ]==> ((a b)(a (^b.a))) 2. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 1195/17094. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 1196/17112. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 1197/17121. ------ 1. ==[ start ]==> (((^a.a) b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 1198/17130. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)(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. ------ 1199/17148. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 1200/17157. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 1201/17166. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1202/17175. ------ 1. ==[ start ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 1203/17193. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 1204/17202. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 1205/17220. ------ 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. ------ 1206/17229. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 1207/17247. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 1208/17256. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 1209/17274. ------ 1. ==[ start ]==> ((a (^b.a))(a b)) 2. ==[ alpha ]==> ((a (^x.a))(a b)) REDUCED to normal form. ------ 1210/17292. ------ 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. ------ 1211/17310. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z) a)) 3. ==[ beta ]==> ((^y.y)((^z.z) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 1212/17319. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.y))) REDUCED to normal form. ------ 1213/17336. ------ 1. ==[ start ]==> (^a.((^b.a) a)) 2. ==[ alpha ]==> (^x.((^y.x) x)) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 1214/17337. ------ 1. ==[ start ]==> (a ((^b.a) a)) 2. ==[ alpha ]==> (a ((^x.a) a)) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 1215/17394. ------ 1. ==[ start ]==> ((^a.b)(^b.c)) 2. ==[ alpha ]==> ((^x.b)(^y.c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1216/17592. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(a a))) 3. ==[ beta ]==> (^y.(^z.(a a))) 4. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 1217/17664. ------ 1. ==[ start ]==> ((^a.a)((^b.a) a)) 2. ==[ alpha ]==> ((^x.x)((^y.a) a)) 3. ==[ beta ]==> ((^y.a) a) 4. ==[ alpha ]==> ((^x.a) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1218/17691. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((^y.(^z.z)) b)((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 7. ==[ beta ]==> ((^y.(^z.z)) b) 8. ==[ alpha ]==> ((^x.(^y.y)) b) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1219/17718. ------ 1. ==[ start ]==> ((^a.b)((^a.a) c)) 2. ==[ alpha ]==> ((^x.b)((^y.y) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1220/17721. ------ 1. ==[ start ]==> ((a b)(^b.c)) 2. ==[ alpha ]==> ((a b)(^x.c)) REDUCED to normal form. ------ 1221/17730. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.y))) 3. ==[ beta ]==> ((a a)(^y.(^z.y))) 4. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 1222/17754. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1223/17799. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> (((a (^z.z)) a)(^y.y)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 1224/17838. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.(^a.(^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. ------ 1225/17847. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y (^z.z)))) REDUCED to normal form. ------ 1226/17892. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^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. ------ 1227/17916. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(a a))) 3. ==[ beta ]==> (^y.((^z.z)(a a))) 4. ==[ alpha ]==> (^x.((^y.y)(a a))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 1228/17919. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(a a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(a a))) REDUCED to normal form. ------ 1229/17955. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 1230/17964. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.a)) REDUCED to normal form. ------ 1231/17987. ------ 1. ==[ start ]==> (^a.(^a.((^a.a) a))) 2. ==[ alpha ]==> (^x.(^y.((^z.z) y))) 3. ==[ eta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1232/17988. ------ 1. ==[ start ]==> (a (^a.((^a.a) a))) 2. ==[ alpha ]==> (a (^x.((^y.y) x))) 3. ==[ eta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 1233/17994. ------ 1. ==[ start ]==> ((a a)((^b.a) a)) 2. ==[ alpha ]==> ((a a)((^x.a) a)) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 1234/18012. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(a a))) 3. ==[ beta ]==> (a ((a (^y.y))(a a))) 4. ==[ alpha ]==> (a ((a (^x.x))(a a))) REDUCED to normal form. ------ 1235/18021. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 1236/18030. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 1237/18039. ------ 1. ==[ start ]==> (((a a) a)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 1238/18048. ------ 1. ==[ start ]==> ((a b)((^a.a) c)) 2. ==[ alpha ]==> ((a b)((^x.x) c)) 3. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 1239/18057. ------ 1. ==[ start ]==> (((^a.a)(a a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(a (^y.a))) 3. ==[ beta ]==> ((a a)(a (^y.a))) 4. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 1240/18084. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 1241/18093. ------ 1. ==[ start ]==> (((^a.a) b)(b b)) 2. ==[ alpha ]==> (((^x.x) b)(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 1242/18102. ------ 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. ------ 1243/18129. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 1244/18138. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^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. ------ 1245/18147. ------ 1. ==[ start ]==> (((a a) b)(b (a a))) REDUCED to normal form. ------ 1246/18165. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1247/18174. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (a (^y.y)))) REDUCED to normal form. ------ 1248/18192. ------ 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))) REDUCED to normal form. ------ 1249/18201. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 1250/18219. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (^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. ------ 1251/18228. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 1252/18246. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(a a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(a a))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 1253/18264. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 1254/18282. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(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. ------ 1255/18291. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) a)) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 1256/18315. ------ 1. ==[ start ]==> ((^a.((^a.a) a)) a) 2. ==[ alpha ]==> ((^x.((^y.y) x)) a) 3. ==[ eta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1257/18317. ------ 1. ==[ start ]==> (^a.(a ((^a.a) a))) 2. ==[ alpha ]==> (^x.(x ((^y.y) x))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 1258/18318. ------ 1. ==[ start ]==> (a (a ((^a.a) a))) 2. ==[ alpha ]==> (a (a ((^x.x) a))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 1259/18321. ------ 1. ==[ start ]==> ((^a.a)(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)(^y.((^z.z) y))) 3. ==[ eta ]==> ((^x.x)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1260/18375. ------ 1. ==[ start ]==> ((^a.b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(a (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1261/18573. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 1262/18645. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.z)) 3. ==[ eta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1263/18648. ------ 1. ==[ start ]==> ((a ((^a.a) a)) a) 2. ==[ alpha ]==> ((a ((^x.x) a)) a) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 1264/18654. ------ 1. ==[ start ]==> ((^a.a)(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)(a ((^y.y) a))) 3. ==[ beta ]==> (a ((^y.y) a)) 4. ==[ alpha ]==> (a ((^x.x) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 1265/18657. ------ 1. ==[ start ]==> ((a a)(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a a)(^x.((^y.y) x))) 3. ==[ eta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 1266/18663. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1267/18681. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(a a))) 3. ==[ beta ]==> (((a (^y.y))(a a))((a (^y.y))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(a a))) REDUCED to normal form. ------ 1268/18708. ------ 1. ==[ start ]==> ((^a.b)((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a a)(a (^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1269/18711. ------ 1. ==[ start ]==> ((a b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 1270/18720. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.c)) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.c)) 3. ==[ beta ]==> ((a a)(^y.c)) 4. ==[ alpha ]==> ((a a)(^x.c)) REDUCED to normal form. ------ 1271/18729. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 1272/18744. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1273/18783. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(a (^a.a)))) 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))) REDUCED to normal form. ------ 1274/18837. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 1275/18882. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 1276/18891. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 1277/18906. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(^z.z))) 3. ==[ beta ]==> (^y.((a a)(^z.z))) 4. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 1278/18909. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 1279/18927. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 1280/18945. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1281/18954. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(y y))) REDUCED to normal form. ------ 1282/18978. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a a)) 3. ==[ eta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 1283/18981. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.a)) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.y)) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 1284/18986. ------ 1. ==[ start ]==> (^a.(^b.(^b.a))) 2. ==[ alpha ]==> (^x.(^y.(^z.x))) REDUCED to normal form. ------ 1285/18987. ------ 1. ==[ start ]==> (a (^b.(^b.a))) 2. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 1286/18993. ------ 1. ==[ start ]==> ((a a)(a ((^a.a) a))) 2. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 1287/19002. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.a) a)) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 1288/19020. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 1289/19029. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1290/19038. ------ 1. ==[ start ]==> (((a a) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 1291/19047. ------ 1. ==[ start ]==> ((a b)((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 1292/19065. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 1293/19083. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 1294/19092. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 1295/19101. ------ 1. ==[ start ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 1296/19119. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(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. ------ 1297/19137. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 1298/19146. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 1299/19164. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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. ------ 1300/19173. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 1301/19191. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^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. ------ 1302/19200. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 1303/19218. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 1304/19227. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 1305/19245. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 1306/19263. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a b)) REDUCED to normal form. ------ 1307/19281. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1308/19290. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a (a a))) REDUCED to normal form. ------ 1309/19314. ------ 1. ==[ start ]==> ((^a.((^a.a) a)) b) 2. ==[ alpha ]==> ((^x.((^y.y) x)) b) 3. ==[ eta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 1310/19317. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a a)) 2. ==[ alpha ]==> ((a ((^x.x) a))(a a)) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 1311/19325. ------ 1. ==[ start ]==> (^a.((^a.a)(^b.a))) 2. ==[ alpha ]==> (^x.((^y.y)(^z.x))) 3. ==[ beta ]==> (^x.(^z.x)) 4. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 1312/19326. ------ 1. ==[ start ]==> (a ((^a.a)(^b.a))) 2. ==[ alpha ]==> (a ((^x.x)(^y.a))) 3. ==[ beta ]==> (a (^y.a)) 4. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 1313/19329. ------ 1. ==[ start ]==> ((^a.a)(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 3. ==[ beta ]==> (^y.(^z.a)) 4. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 1314/19338. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1315/19464. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(a (^a.a)))) 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 (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 1316/19653. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.x1))) 3. ==[ eta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1317/19656. ------ 1. ==[ start ]==> ((a ((^a.a) a)) b) 2. ==[ alpha ]==> ((a ((^x.x) a)) b) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 1318/19665. ------ 1. ==[ start ]==> (((^a.a)(^b.a)) a) 2. ==[ alpha ]==> (((^x.x)(^y.a)) a) 3. ==[ beta ]==> ((^y.a) a) 4. ==[ alpha ]==> ((^x.a) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1319/19671. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(^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. ------ 1320/19674. ------ 1. ==[ start ]==> ((a a)(^b.(^b.a))) 2. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 1321/19680. ------ 1. ==[ start ]==> ((^a.(^a.a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1322/19683. ------ 1. ==[ start ]==> ((a (^a.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 1323/19725. ------ 1. ==[ start ]==> ((^a.b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(b (^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1324/19746. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.c)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.c)) REDUCED to normal form. ------ 1325/19806. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(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. ------ 1326/19809. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 1327/19872. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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. ------ 1328/19908. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 1329/19923. ------ 1. ==[ start ]==> ((^a.(^b.a))(b a)) 2. ==[ alpha ]==> ((^x.(^y.x))(b a)) 3. ==[ beta ]==> (^y.(b a)) 4. ==[ alpha ]==> (^x.(b a)) REDUCED to normal form. ------ 1330/19944. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 1331/19962. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 1332/19971. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 1333/19995. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (^z.z))) 3. ==[ eta ]==> ((^y.y)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 1334/19998. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 1335/20007. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.a)) 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. ------ 1336/20019. ------ 1. ==[ start ]==> ((a a)((^a.a)(^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. ------ 1337/20028. ------ 1. ==[ start ]==> ((a (^a.a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 1338/20037. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a) a)) 2. ==[ alpha ]==> (((^x.x) a)((^y.a) a)) 3. ==[ beta ]==> (a ((^y.a) a)) 4. ==[ alpha ]==> (a ((^x.a) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 1339/20055. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 5. ==[ beta ]==> ((a (^y.y))(a a)) 6. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 1340/20064. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 1341/20073. ------ 1. ==[ start ]==> ((a b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 1342/20082. ------ 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. ------ 1343/20118. ------ 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. ------ 1344/20127. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 1345/20145. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 1346/20154. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 1347/20172. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a) b)((a (^x.x)) a)) REDUCED to normal form. ------ 1348/20190. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 1349/20199. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a) b)) REDUCED to normal form. ------ 1350/20217. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(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. ------ 1351/20226. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 1352/20244. ------ 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)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 1353/20253. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 1354/20271. ------ 1. ==[ start ]==> ((a (^b.a))(b a)) 2. ==[ alpha ]==> ((a (^x.a))(b a)) REDUCED to normal form. ------ 1355/20289. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)(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. ------ 1356/20307. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((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. ------ 1357/20316. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 1358/20343. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a (^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.y))) 3. ==[ beta ]==> ((a a)(a (^y.y))) 4. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 1359/20352. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a a)) 3. ==[ beta ]==> ((^y.a)(a a)) 4. ==[ alpha ]==> ((^x.a)(a a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1360/20373. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1361/20454. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1362/20616. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(^a.(^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. ------ 1363/20688. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.a)) 3. ==[ eta ]==> ((^y.y)(^z.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 1364/20700. ------ 1. ==[ start ]==> (((^a.a)(^b.a)) b) 2. ==[ alpha ]==> (((^x.x)(^y.a)) b) 3. ==[ beta ]==> ((^y.a) b) 4. ==[ alpha ]==> ((^x.a) b) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1365/20724. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1366/20727. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 1367/20736. ------ 1. ==[ start ]==> (((^a.a) a)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.x) a)(^z.z)) 4. ==[ alpha ]==> (((^x.x) a)(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 1368/20742. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(x x))((^y.a) a)) 3. ==[ beta ]==> (((^y.a) a)((^y.a) a)) 4. ==[ alpha ]==> (((^x.a) a)((^y.a) a)) 5. ==[ beta ]==> (a ((^y.a) a)) 6. ==[ alpha ]==> (a ((^x.a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 1369/20769. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1370/20805. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1371/20808. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 1372/20850. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 1373/20862. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(a (^a.a)))) 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. ------ 1374/20871. ------ 1. ==[ start ]==> (((a a) b)(^a.c)) 2. ==[ alpha ]==> (((a a) b)(^x.c)) REDUCED to normal form. ------ 1375/20916. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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. ------ 1376/20925. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 1377/20967. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 1378/20970. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 1379/21006. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 1380/21039. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z) a)) 3. ==[ eta ]==> ((^y.y)((^z.z) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 1381/21042. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.a)) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.a)) 3. ==[ beta ]==> ((a a)(^y.a)) 4. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 1382/21051. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1383/21081. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (^x.x))(^z.a)) 4. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 1384/21090. ------ 1. ==[ start ]==> (((^a.a) a)(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)(a ((^y.y) a))) 3. ==[ beta ]==> (a (a ((^y.y) a))) 4. ==[ alpha ]==> (a (a ((^x.x) a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 1385/21099. ------ 1. ==[ start ]==> ((a (a a))((^b.a) a)) 2. ==[ alpha ]==> ((a (a a))((^x.a) a)) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 1386/21117. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 1387/21126. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a b)((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 1388/21135. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 1389/21144. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 1390/21162. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 1391/21171. ------ 1. ==[ start ]==> (((^a.a) b)(c a)) 2. ==[ alpha ]==> (((^x.x) b)(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 1392/21180. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 1393/21198. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 1394/21207. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 1395/21216. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((^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. ------ 1396/21225. ------ 1. ==[ start ]==> (((a a) b)(a c)) REDUCED to normal form. ------ 1397/21243. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1398/21252. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (a a))) REDUCED to normal form. ------ 1399/21270. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 1400/21279. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 1401/21297. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 1402/21306. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 1403/21324. ------ 1. ==[ start ]==> ((a (^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 1404/21342. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 1405/21360. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 1406/21369. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a a) a)) REDUCED to normal form. ------ 1407/21396. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y) a)) 3. ==[ beta ]==> ((a a)((^y.y) a)) 4. ==[ alpha ]==> ((a a)((^x.x) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 1408/21405. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a (^z.z))) 3. ==[ beta ]==> ((^y.a)(a (^z.z))) 4. ==[ alpha ]==> ((^x.a)(a (^y.y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1409/21422. ------ 1. ==[ start ]==> (^a.(b (a (^a.a)))) 2. ==[ alpha ]==> (^x.(b (x (^y.y)))) REDUCED to normal form. ------ 1410/21423. ------ 1. ==[ start ]==> (a (b (a (^a.a)))) 2. ==[ alpha ]==> (a (b (a (^x.x)))) REDUCED to normal form. ------ 1411/21453. ------ 1. ==[ start ]==> ((^a.(a a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z) y))) 3. ==[ eta ]==> ((^x.(x x))(^z.z)) 4. ==[ alpha ]==> ((^x.(x x))(^y.y)) 5. ==[ beta ]==> ((^y.y)(^y.y)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1412/21516. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1413/21678. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.b)) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.z)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1414/21750. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(z z))) 3. ==[ eta ]==> ((^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. ------ 1415/21762. ------ 1. ==[ start ]==> (((^a.a)(^b.a)) c) 2. ==[ alpha ]==> (((^x.x)(^y.a)) c) 3. ==[ beta ]==> ((^y.a) c) 4. ==[ alpha ]==> ((^x.a) c) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1416/21786. ------ 1. ==[ start ]==> ((^a.a)(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 3. ==[ beta ]==> (b (a (^y.y))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 1417/21807. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.a))) 3. ==[ beta ]==> (a (^y.(^z.a))) 4. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 1418/21813. ------ 1. ==[ start ]==> ((^a.(a a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))(a ((^y.y) a))) 3. ==[ beta ]==> ((a ((^y.y) a))(a ((^y.y) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a ((^y.y) a))) 5. ==[ beta ]==> ((a a)(a ((^y.y) a))) 6. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 1419/21816. ------ 1. ==[ start ]==> ((a (a a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))(^x.((^y.y) x))) 3. ==[ eta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 1420/21840. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1421/21879. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 1422/21888. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 1423/21921. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b b)) 3. ==[ beta ]==> ((b b)(^y.y)) 4. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 1424/21942. ------ 1. ==[ start ]==> (((a a) b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 1425/21996. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 1426/22038. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z) b)) 3. ==[ beta ]==> (^y.((^z.z) b)) 4. ==[ alpha ]==> (^x.((^y.y) b)) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 1427/22041. ------ 1. ==[ start ]==> ((a (^b.a))(^b.b)) 2. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 1428/22077. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 1429/22086. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.b)) REDUCED to normal form. ------ 1430/22110. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (a a))) 3. ==[ eta ]==> ((^y.y)(a (a a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 1431/22113. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(y y))) 3. ==[ beta ]==> ((a a)(^y.(y y))) 4. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 1432/22122. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.a)) 3. ==[ beta ]==> ((^y.a)(^z.a)) 4. ==[ alpha ]==> ((^x.a)(^y.a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1433/22152. ------ 1. ==[ start ]==> ((a a)(b (a (^a.a)))) 2. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 1434/22170. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(^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. ------ 1435/22179. ------ 1. ==[ start ]==> ((a (a a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))(a ((^x.x) a))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 1436/22188. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) a)) 3. ==[ beta ]==> ((^y.y)((^z.a) a)) 4. ==[ alpha ]==> ((^x.x)((^y.a) a)) 5. ==[ beta ]==> ((^y.a) a) 6. ==[ alpha ]==> ((^x.a) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 1437/22206. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(a a))) REDUCED to normal form. ------ 1438/22215. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 1439/22224. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 1440/22251. ------ 1. ==[ start ]==> (((^a.a) b)(a (^b.a))) 2. ==[ alpha ]==> (((^x.x) b)(a (^y.a))) 3. ==[ beta ]==> (b (a (^y.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 1441/22278. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 1442/22287. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b b)) 2. ==[ alpha ]==> ((a (a (^x.x)))(b b)) REDUCED to normal form. ------ 1443/22296. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1444/22305. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(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. ------ 1445/22323. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) 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. ------ 1446/22332. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 1447/22350. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((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. ------ 1448/22359. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 1449/22377. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 1450/22386. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 1451/22404. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a) b)) 2. ==[ alpha ]==> ((a (^x.a))((^y.y) b)) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 1452/22422. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b a)) REDUCED to normal form. ------ 1453/22440. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 1454/22449. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a b)) REDUCED to normal form. ------ 1455/22476. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a (a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a (a a))) 3. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 1456/22485. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z) a)) 3. ==[ beta ]==> ((^y.a)((^z.z) a)) 4. ==[ alpha ]==> ((^x.a)((^y.y) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1457/22511. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1458/22512. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 1459/22542. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.a))) 3. ==[ beta ]==> ((^y.(^z.a))(^y.(^z.a))) 4. ==[ alpha ]==> ((^x.(^y.a))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 1460/22767. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(a a))) 3. ==[ beta ]==> (^y.(^z.(a a))) 4. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 1461/22839. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.x1))) 3. ==[ eta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1462/22878. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a))) a) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1463/22884. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1464/22893. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1465/22911. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(^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. ------ 1466/22914. ------ 1. ==[ start ]==> ((a (a a))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.a))) REDUCED to normal form. ------ 1467/22923. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1468/22938. ------ 1. ==[ start ]==> ((^a.b)(c (^a.a))) 2. ==[ alpha ]==> ((^x.b)(c (^y.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1469/22974. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1470/22986. ------ 1. ==[ start ]==> (((^a.a) b)(^b.c)) 2. ==[ alpha ]==> (((^x.x) b)(^y.c)) 3. ==[ beta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 1471/22995. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 1472/23019. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^z.(^x1.x1))(a a))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1473/23040. ------ 1. ==[ start ]==> (((a a) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 1474/23112. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(a (^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. ------ 1475/23136. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(a a))) 3. ==[ beta ]==> (^y.((a a)(a a))) 4. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 1476/23139. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(a a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(a a))) REDUCED to normal form. ------ 1477/23157. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 1478/23175. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1479/23184. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(a a))) REDUCED to normal form. ------ 1480/23208. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)(^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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1481/23211. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 1482/23220. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(z z))) 3. ==[ beta ]==> ((^y.a)(^z.(z z))) 4. ==[ alpha ]==> ((^x.a)(^y.(y y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1483/23247. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.y1)) 3. ==[ beta ]==> ((^y.y)(^y1.y1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1484/23259. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 1485/23268. ------ 1. ==[ start ]==> ((a (^a.a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 1486/23286. ------ 1. ==[ start ]==> ((a (a a))((^a.a)(^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. ------ 1487/23295. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) a))) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 1488/23304. ------ 1. ==[ start ]==> (((a a) a)((^b.a) a)) 2. ==[ alpha ]==> (((a a) a)((^x.a) a)) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 1489/23313. ------ 1. ==[ start ]==> ((a b)(c (^a.a))) 2. ==[ alpha ]==> ((a b)(c (^x.x))) REDUCED to normal form. ------ 1490/23322. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(a a))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 1491/23331. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 1492/23349. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 1493/23358. ------ 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)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 1494/23367. ------ 1. ==[ start ]==> (((a a)(a a))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(a a))(a (^x.a))) REDUCED to normal form. ------ 1495/23385. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 1496/23394. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 1497/23403. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 1498/23412. ------ 1. ==[ start ]==> (((a a) b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 1499/23439. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y)) a)) REDUCED to normal form. ------ 1500/23457. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (a a))) 3. ==[ beta ]==> ((a (^y.y))(b (a a))) 4. ==[ alpha ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 1501/23466. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 1502/23484. ------ 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)(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. ------ 1503/23493. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^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. ------ 1504/23511. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(a a))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(a a))) REDUCED to normal form. ------ 1505/23529. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 1506/23547. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)(^z.z))) 3. ==[ beta ]==> ((^y.y)((a 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. ------ 1507/23556. ------ 1. ==[ start ]==> (((a (^a.a))(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. ------ 1508/23583. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)(^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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 1509/23592. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a (a a))) 3. ==[ beta ]==> ((^y.a)(a (a a))) 4. ==[ alpha ]==> ((^x.a)(a (a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1510/23619. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 1511/23627. ------ 1. ==[ start ]==> (^a.((a (^a.a)) b)) 2. ==[ alpha ]==> (^x.((x (^y.y)) b)) REDUCED to normal form. ------ 1512/23628. ------ 1. ==[ start ]==> (a ((a (^a.a)) b)) 2. ==[ alpha ]==> (a ((a (^x.x)) b)) REDUCED to normal form. ------ 1513/23994. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a))) b) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 1514/24003. ------ 1. ==[ start ]==> (((a (^a.a)) b) a) 2. ==[ alpha ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 1515/24009. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 3. ==[ beta ]==> ((a (^y.y)) b) 4. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 1516/24018. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1517/24048. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 1518/24057. ------ 1. ==[ start ]==> (((a a) a)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)(^x.((^y.y) x))) 3. ==[ eta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 1519/24063. ------ 1. ==[ start ]==> ((^a.b)((^b.a) a)) 2. ==[ alpha ]==> ((^x.b)((^y.a) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1520/24099. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1521/24111. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(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. ------ 1522/24120. ------ 1. ==[ start ]==> (((a a)(a a))(^b.c)) 2. ==[ alpha ]==> (((a a)(a a))(^x.c)) REDUCED to normal form. ------ 1523/24144. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^z.z))(^x1.x1))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 1524/24183. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.(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))) REDUCED to normal form. ------ 1525/24237. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 1526/24246. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 1527/24261. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (^z.z))) 3. ==[ beta ]==> (^y.(b (^z.z))) 4. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 1528/24282. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 1529/24333. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a) a)) 3. ==[ eta ]==> ((^y.y)((a a) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 1530/24345. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1531/24372. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1532/24381. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.a)) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 1533/24393. ------ 1. ==[ start ]==> ((a a)((a (^a.a)) b)) 2. ==[ alpha ]==> ((a a)((a (^x.x)) b)) REDUCED to normal form. ------ 1534/24402. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 1535/24411. ------ 1. ==[ start ]==> (((^a.a) a)(b (a (^a.a)))) 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. ------ 1536/24429. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 1537/24438. ------ 1. ==[ start ]==> (((a a) a)(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)(a ((^x.x) a))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 1538/24447. ------ 1. ==[ start ]==> ((a b)((^b.a) a)) 2. ==[ alpha ]==> ((a b)((^x.a) a)) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 1539/24465. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 1540/24483. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 1541/24492. ------ 1. ==[ start ]==> (((^a.a) b)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((a a)(a (^y.y)))) 3. ==[ beta ]==> (b ((a a)(a (^y.y)))) 4. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 1542/24528. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 1543/24537. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^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. ------ 1544/24546. ------ 1. ==[ start ]==> (((a a) b)(b b)) REDUCED to normal form. ------ 1545/24564. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)(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. ------ 1546/24591. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^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. ------ 1547/24600. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 1548/24618. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1549/24627. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a (^z.z)))) REDUCED to normal form. ------ 1550/24645. ------ 1. ==[ start ]==> ((a (^b.a))(b (^a.a))) 2. ==[ alpha ]==> ((a (^x.a))(b (^y.y))) REDUCED to normal form. ------ 1551/24663. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y) b)) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 1552/24681. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 1553/24690. ------ 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. ------ 1554/24717. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a) a)) 3. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 1555/24726. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(^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. ------ 1556/24753. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.y1))) 3. ==[ beta ]==> ((^y.y)(a (^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 1557/24762. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a a)) 2. ==[ alpha ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 1558/24828. ------ 1. ==[ start ]==> ((^a.b)(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)(^y.((^z.z) y))) 3. ==[ eta ]==> ((^x.b)(^z.z)) 4. ==[ alpha ]==> ((^x.b)(^y.y)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 1559/25098. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.b)) 3. ==[ eta ]==> ((^y.y)(^z.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 1560/25146. ------ 1. ==[ start ]==> (((a (^a.a)) b) b) 2. ==[ alpha ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 1561/25170. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1562/25188. ------ 1. ==[ start ]==> ((^a.(a a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(b (a (^y.y)))) 3. ==[ beta ]==> ((b (a (^y.y)))(b (a (^y.y)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 1563/25209. ------ 1. ==[ start ]==> (((a a) a)(^b.(^b.a))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.a))) REDUCED to normal form. ------ 1564/25215. ------ 1. ==[ start ]==> ((^a.b)(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)(a ((^y.y) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1565/25218. ------ 1. ==[ start ]==> ((a b)(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a b)(^x.((^y.y) x))) 3. ==[ eta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 1566/25251. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1567/25290. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 1568/25344. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(a (^z.z)))) REDUCED to normal form. ------ 1569/25398. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 1570/25413. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1571/25452. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(^a.(^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. ------ 1572/25485. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a b)) 3. ==[ eta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 1573/25488. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.b)) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.b)) 3. ==[ beta ]==> ((a a)(^y.b)) 4. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 1574/25497. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.a)) 3. ==[ beta ]==> ((^y.a)(^z.a)) 4. ==[ alpha ]==> ((^x.a)(^y.a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1575/25524. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.a)) 3. ==[ beta ]==> ((^y.y)(^y1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 1576/25533. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 1577/25563. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 1578/25572. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 1579/25581. ------ 1. ==[ start ]==> ((a (a a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))(b (a (^x.x)))) REDUCED to normal form. ------ 1580/25599. ------ 1. ==[ start ]==> (((a a) a)((^a.a)(^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. ------ 1581/25608. ------ 1. ==[ start ]==> ((a b)(a ((^a.a) a))) 2. ==[ alpha ]==> ((a b)(a ((^x.x) a))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 1582/25617. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a) a)) 3. ==[ beta ]==> ((a a)((^y.a) a)) 4. ==[ alpha ]==> ((a a)((^x.a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 1583/25644. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 1584/25653. ------ 1. ==[ start ]==> (((^a.a) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 1585/25662. ------ 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. ------ 1586/25680. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 1587/25698. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^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. ------ 1588/25707. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 1589/25725. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 1590/25734. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)(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. ------ 1591/25752. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((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. ------ 1592/25761. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 1593/25779. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 1594/25788. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 1595/25806. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 1596/25824. ------ 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. ------ 1597/25842. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 1598/25851. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b a)) REDUCED to normal form. ------ 1599/25878. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a b)) 2. ==[ alpha ]==> ((a ((^x.x) a))(a b)) 3. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 1600/25887. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a) a)) 3. ==[ beta ]==> ((^y.a)((a a) a)) 4. ==[ alpha ]==> ((^x.a)((a a) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1601/25914. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1) a)) 3. ==[ beta ]==> ((^y.y)((^y1.y1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 1602/25923. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 1603/25940. ------ 1. ==[ start ]==> (^a.((^b.a)(^a.a))) 2. ==[ alpha ]==> (^x.((^y.x)(^z.z))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 1604/25941. ------ 1. ==[ start ]==> (a ((^b.a)(^a.a))) 2. ==[ alpha ]==> (a ((^x.a)(^y.y))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 1605/25998. ------ 1. ==[ start ]==> ((^a.b)(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1606/26079. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((^z.(^x1.z))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.x))(^z.z)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1607/26196. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(a (^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. ------ 1608/26268. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(a a))) 3. ==[ eta ]==> ((^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. ------ 1609/26316. ------ 1. ==[ start ]==> (((a (^a.a)) b) c) 2. ==[ alpha ]==> (((a (^x.x)) b) c) REDUCED to normal form. ------ 1610/26340. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(^a.a))) 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. ------ 1611/26367. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^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)))) 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. ------ 1612/26394. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1613/26397. ------ 1. ==[ start ]==> ((a b)(^b.(^b.a))) 2. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 1614/26406. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.x)(a a))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 1615/26430. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1616/26469. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 1617/26475. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (^z.a))) 3. ==[ beta ]==> ((a (^z.a))(^y.y)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 1618/26478. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 1619/26592. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (a (^z.z)))) 3. ==[ beta ]==> (^y.(a (a (^z.z)))) 4. ==[ alpha ]==> (^x.(a (a (^y.y)))) REDUCED to normal form. ------ 1620/26595. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 1621/26631. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 1622/26640. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 1623/26664. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(a a))) 3. ==[ eta ]==> ((^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. ------ 1624/26667. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(a a))) 3. ==[ beta ]==> ((a a)(^y.(a a))) 4. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 1625/26676. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.b)) 3. ==[ beta ]==> ((^y.a)(^z.b)) 4. ==[ alpha ]==> ((^x.a)(^y.b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1626/26703. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 y1))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 1627/26712. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.a)) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.a)) REDUCED to normal form. ------ 1628/26742. ------ 1. ==[ start ]==> ((a a)((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 1629/26760. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y)) b)) 3. ==[ beta ]==> (a ((a (^y.y)) b)) 4. ==[ alpha ]==> (a ((a (^x.x)) b)) REDUCED to normal form. ------ 1630/26769. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 1631/26778. ------ 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. ------ 1632/26796. ------ 1. ==[ start ]==> ((a b)((^a.a)(^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. ------ 1633/26805. ------ 1. ==[ start ]==> (((^a.a)(a a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(a ((^y.y) a))) 3. ==[ beta ]==> ((a a)(a ((^y.y) a))) 4. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 1634/26814. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a) a)) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 1635/26832. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 1636/26841. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) b)) 3. ==[ beta ]==> (b ((^y.(^z.z)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 1637/26850. ------ 1. ==[ start ]==> (((a a)(a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 1638/26877. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 1639/26895. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 1640/26913. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 1641/26922. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 1642/26949. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 1643/26967. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 1644/26976. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a) b)) REDUCED to normal form. ------ 1645/26994. ------ 1. ==[ start ]==> ((a (^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(a (a (^y.y)))) REDUCED to normal form. ------ 1646/27012. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 1647/27030. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z) b)) 3. ==[ beta ]==> ((^y.y)((^z.z) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 1648/27039. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 1649/27066. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(a a))) 3. ==[ beta ]==> ((a a)((^y.y)(a a))) 4. ==[ alpha ]==> ((a a)((^x.x)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 1650/27075. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a b)) 3. ==[ beta ]==> ((^y.a)(a b)) 4. ==[ alpha ]==> ((^x.a)(a b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1651/27102. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (a a))) 3. ==[ beta ]==> ((^y.y)(a (a a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 1652/27111. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) a)) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 1653/27137. ------ 1. ==[ start ]==> (^a.(((^a.a) a) a)) 2. ==[ alpha ]==> (^x.(((^y.y) x) x)) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 1654/27138. ------ 1. ==[ start ]==> (a (((^a.a) a) a)) 2. ==[ alpha ]==> (a (((^x.x) a) a)) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 1655/27195. ------ 1. ==[ start ]==> ((^a.b)(^c.c)) 2. ==[ alpha ]==> ((^x.b)(^y.y)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1656/27276. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.c)) 3. ==[ beta ]==> ((^z.c)(^y.y)) 4. ==[ alpha ]==> ((^x.c)(^y.y)) 5. ==[ beta ]==> c REDUCED to normal form. ------ 1657/27393. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(^a.(^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. ------ 1658/27540. ------ 1. ==[ start ]==> ((((^a.a) a) a) a) 2. ==[ alpha ]==> ((((^x.x) a) a) a) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 1659/27546. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a) a)) 3. ==[ beta ]==> (((^y.y) a) a) 4. ==[ alpha ]==> (((^x.x) a) a) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 1660/27555. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1661/27573. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y)) b)) 3. ==[ beta ]==> (((a (^y.y)) b)((a (^y.y)) b)) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y)) b)) REDUCED to normal form. ------ 1662/27600. ------ 1. ==[ start ]==> ((^a.b)((a a) c)) 2. ==[ alpha ]==> ((^x.b)((a a) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1663/27603. ------ 1. ==[ start ]==> ((a b)(^c.c)) 2. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 1664/27612. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.a))) 3. ==[ beta ]==> ((a a)(^y.(^z.a))) 4. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 1665/27621. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 1666/27684. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.c)) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.c)) REDUCED to normal form. ------ 1667/27693. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 1668/27747. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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. ------ 1669/27798. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 1670/27801. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 1671/27837. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 1672/27846. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 1673/27870. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(^z.z))) 3. ==[ eta ]==> ((^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. ------ 1674/27882. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a a))) 3. ==[ beta ]==> ((^y.a)(^z.(a a))) 4. ==[ alpha ]==> ((^x.a)(^y.(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1675/27909. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1676/27918. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(y y))) REDUCED to normal form. ------ 1677/27945. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.a)) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.y)) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 1678/27957. ------ 1. ==[ start ]==> ((a a)(((^a.a) a) a)) 2. ==[ alpha ]==> ((a a)(((^x.x) a) a)) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 1679/27966. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 1680/27984. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (a a))((a (^x.x)) b)) REDUCED to normal form. ------ 1681/27993. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1682/28002. ------ 1. ==[ start ]==> (((a a) a)(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)(b (a (^x.x)))) REDUCED to normal form. ------ 1683/28011. ------ 1. ==[ start ]==> ((a b)((a a) c)) REDUCED to normal form. ------ 1684/28020. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 1685/28029. ------ 1. ==[ start ]==> (((a a)(^a.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 1686/28056. ------ 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. ------ 1687/28065. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 1688/28083. ------ 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)((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. ------ 1689/28101. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1690/28110. ------ 1. ==[ start ]==> (((a a) b)(c a)) REDUCED to normal form. ------ 1691/28128. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^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. ------ 1692/28137. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b b)) 2. ==[ alpha ]==> (((a (^x.x)) a)(b b)) REDUCED to normal form. ------ 1693/28155. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^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. ------ 1694/28182. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 1695/28191. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (a a))) REDUCED to normal form. ------ 1696/28209. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 1697/28227. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 1698/28245. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)(a a))) 3. ==[ beta ]==> ((^y.y)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 1699/28254. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) b)) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 1700/28281. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.y))) 3. ==[ beta ]==> ((a a)((a a)(^y.y))) 4. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 1701/28290. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1702/28317. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)(^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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1703/28326. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (a a))) REDUCED to normal form. ------ 1704/28353. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a a)) 2. ==[ alpha ]==> ((((^x.x) a) a)(a a)) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 1705/28617. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.b)) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.b)) 3. ==[ beta ]==> (^y.(^z.b)) 4. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 1706/28764. ------ 1. ==[ start ]==> ((((^a.a) a) a) b) 2. ==[ alpha ]==> ((((^x.x) a) a) b) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 1707/28788. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1708/28833. ------ 1. ==[ start ]==> ((^a.b)(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(b (a (^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1709/28854. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 1710/28869. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1711/28914. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (^z.z)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 1712/28926. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1713/28935. ------ 1. ==[ start ]==> (((a a) b)(^a.(^b.a))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.x))) REDUCED to normal form. ------ 1714/28989. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 1715/29031. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((a a) b)) 3. ==[ beta ]==> (^y.((a a) b)) 4. ==[ alpha ]==> (^x.((a a) b)) REDUCED to normal form. ------ 1716/29034. ------ 1. ==[ start ]==> ((a (^b.a))(^c.b)) 2. ==[ alpha ]==> ((a (^x.a))(^y.b)) REDUCED to normal form. ------ 1717/29052. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 1718/29103. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b a)) 3. ==[ eta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 1719/29115. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1720/29151. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 1721/29178. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 1722/29192. ------ 1. ==[ start ]==> (^a.(^b.((^a.a) a))) 2. ==[ alpha ]==> (^x.(^y.((^z.z) x))) 3. ==[ beta ]==> (^x.(^y.x)) REDUCED to normal form. ------ 1723/29193. ------ 1. ==[ start ]==> (a (^b.((^a.a) a))) 2. ==[ alpha ]==> (a (^x.((^y.y) a))) 3. ==[ beta ]==> (a (^x.a)) REDUCED to normal form. ------ 1724/29208. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a) a)) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 1725/29217. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(^a.a))) 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. ------ 1726/29235. ------ 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) REDUCED to normal form. ------ 1727/29244. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 1728/29253. ------ 1. ==[ start ]==> ((a b)(b (a (^a.a)))) 2. ==[ alpha ]==> ((a b)(b (a (^x.x)))) REDUCED to normal form. ------ 1729/29271. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)(^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. ------ 1730/29289. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 1731/29298. ------ 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. ------ 1732/29307. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 1733/29325. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 1734/29334. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 1735/29352. ------ 1. ==[ start ]==> (((a a) b)(a (^b.a))) 2. ==[ alpha ]==> (((a a) b)(a (^x.a))) REDUCED to normal form. ------ 1736/29370. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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)) REDUCED to normal form. ------ 1737/29379. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 1738/29397. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 1739/29406. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 1740/29424. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 1741/29433. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^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. ------ 1742/29451. ------ 1. ==[ start ]==> ((a (^b.a))((a a) b)) 2. ==[ alpha ]==> ((a (^x.a))((a a) b)) REDUCED to normal form. ------ 1743/29469. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 1744/29487. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(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. ------ 1745/29496. ------ 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. ------ 1746/29523. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b a)) 2. ==[ alpha ]==> ((a ((^x.x) a))(b a)) 3. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 1747/29532. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.z))) 3. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1748/29559. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a) a)) 3. ==[ beta ]==> ((^y.y)((a a) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 1749/29568. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 1750/29595. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a (^y.y))) 3. ==[ beta ]==> ((a a)(a (^y.y))) 4. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 1751/29612. ------ 1. ==[ start ]==> (^a.((^a.a)((^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. ------ 1752/29613. ------ 1. ==[ start ]==> (a ((^a.a)((^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. ------ 1753/29616. ------ 1. ==[ start ]==> ((^a.a)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 3. ==[ beta ]==> (^y.((^z.z) a)) 4. ==[ alpha ]==> (^x.((^y.y) a)) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 1754/29706. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((^x.(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1755/29940. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 1756/30033. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a)) a) 2. ==[ alpha ]==> (((^x.x)((^y.y) a)) a) 3. ==[ beta ]==> (((^y.y) a) a) 4. ==[ alpha ]==> (((^x.x) a) a) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 1757/30039. ------ 1. ==[ start ]==> ((^a.a)((^a.a)((^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. ------ 1758/30042. ------ 1. ==[ start ]==> ((a a)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a a)(^x.((^y.y) a))) 3. ==[ beta ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 1759/30066. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(^a.a))) 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. ------ 1760/30093. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1761/30129. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1762/30132. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 1763/30174. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 1764/30195. ------ 1. ==[ start ]==> (((a a) b)(^b.c)) 2. ==[ alpha ]==> (((a a) b)(^x.c)) REDUCED to normal form. ------ 1765/30291. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (a a))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (a a))) 3. ==[ beta ]==> (^y.(b (a a))) 4. ==[ alpha ]==> (^x.(b (a a))) REDUCED to normal form. ------ 1766/30312. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 1767/30363. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (^z.(^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 1768/30366. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 1769/30402. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.b)) 3. ==[ beta ]==> ((^y.y)(^y1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 1770/30411. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.a)) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.a)) REDUCED to normal form. ------ 1771/30438. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.a)) 3. ==[ beta ]==> ((a a)(^y.a)) 4. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 1772/30456. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.z)) 3. ==[ beta ]==> (((^y.y) a)(^z.z)) 4. ==[ alpha ]==> (((^x.x) a)(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 1773/30468. ------ 1. ==[ start ]==> ((a a)((^a.a)((^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. ------ 1774/30486. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) 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)) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 1775/30495. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(^y.y))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 1776/30513. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a) a)((a (^x.x)) b)) REDUCED to normal form. ------ 1777/30522. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 1778/30531. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (a (^y.y)))) 3. ==[ beta ]==> ((a a)(b (a (^y.y)))) 4. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 1779/30558. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 1780/30567. ------ 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)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 1781/30594. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1782/30603. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 1783/30612. ------ 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 ]==> ((^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. ------ 1784/30621. ------ 1. ==[ start ]==> (((a a) b)((^a.a) c)) 2. ==[ alpha ]==> (((a a) b)((^x.x) c)) 3. ==[ beta ]==> (((a a) b) c) REDUCED to normal form. ------ 1785/30648. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(^z.z))) REDUCED to normal form. ------ 1786/30666. ------ 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)) REDUCED to normal form. ------ 1787/30675. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 1788/30702. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z)) a)) REDUCED to normal form. ------ 1789/30720. ------ 1. ==[ start ]==> ((a (^b.a))(b (a a))) 2. ==[ alpha ]==> ((a (^x.a))(b (a a))) REDUCED to normal form. ------ 1790/30738. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 1791/30756. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1792/30765. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.y))) REDUCED to normal form. ------ 1793/30792. ------ 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. ------ 1794/30801. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b a)) 3. ==[ beta ]==> ((^y.a)(b a)) 4. ==[ alpha ]==> ((^x.a)(b a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1795/30828. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 1796/30837. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a) a)) REDUCED to normal form. ------ 1797/30864. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y) a)) 3. ==[ beta ]==> ((a a)((^y.y) a)) 4. ==[ alpha ]==> ((a a)((^x.x) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 1798/30882. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(a a)) 3. ==[ beta ]==> (((^y.y) a)(a a)) 4. ==[ alpha ]==> (((^x.x) a)(a a)) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 1799/30890. ------ 1. ==[ start ]==> (^a.((a a)(^b.a))) 2. ==[ alpha ]==> (^x.((x x)(^y.x))) REDUCED to normal form. ------ 1800/30891. ------ 1. ==[ start ]==> (a ((a a)(^b.a))) 2. ==[ alpha ]==> (a ((a a)(^x.a))) REDUCED to normal form. ------ 1801/30903. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1802/30984. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1803/31218. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.z)) 3. ==[ eta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1804/31311. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a)) b) 2. ==[ alpha ]==> (((^x.x)((^y.y) a)) b) 3. ==[ beta ]==> (((^y.y) a) b) 4. ==[ alpha ]==> (((^x.x) a) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 1805/31320. ------ 1. ==[ start ]==> (((a a)(^b.a)) a) 2. ==[ alpha ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 1806/31326. ------ 1. ==[ start ]==> ((^a.a)((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 3. ==[ beta ]==> ((a a)(^y.a)) 4. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 1807/31335. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1808/31338. ------ 1. ==[ start ]==> ((a (^a.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 1809/31353. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a) a)) 3. ==[ beta ]==> ((((^y.y) a) a)(((^y.y) 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. ------ 1810/31380. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.b)((a (^y.y)) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1811/31416. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1812/31419. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 1813/31428. ------ 1. ==[ start ]==> (((^a.a) b)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.x) b)(^z.z)) 4. ==[ alpha ]==> (((^x.x) b)(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 1814/31461. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^z.(^x1.x1)) b)(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1815/31482. ------ 1. ==[ start ]==> (((a a) b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 1816/31500. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.(^b.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. ------ 1817/31554. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(a (^a.a)))) 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))) REDUCED to normal form. ------ 1818/31578. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1819/31617. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(a (^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. ------ 1820/31650. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z) b)) 3. ==[ eta ]==> ((^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. ------ 1821/31653. ------ 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. ------ 1822/31662. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(^a.(^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. ------ 1823/31689. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a a))) 3. ==[ beta ]==> ((^y.y)(^y1.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 1824/31698. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.b)) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.b)) REDUCED to normal form. ------ 1825/31725. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(y y))) 3. ==[ beta ]==> ((a a)(^y.(y y))) 4. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 1826/31743. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 1827/31752. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.a)) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 1828/31764. ------ 1. ==[ start ]==> ((a a)((a a)(^b.a))) 2. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 1829/31773. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 1830/31791. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a) a)) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 1831/31800. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 1832/31818. ------ 1. ==[ start ]==> ((a b)((a (^a.a)) b)) 2. ==[ alpha ]==> ((a b)((a (^x.x)) b)) REDUCED to normal form. ------ 1833/31827. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 1834/31836. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 1835/31854. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)(^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. ------ 1836/31863. ------ 1. ==[ start ]==> (((^a.a) b)(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)(a ((^y.y) a))) 3. ==[ beta ]==> (b (a ((^y.y) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 1837/31872. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(a a))((^x.a) a)) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 1838/31890. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 1839/31899. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 1840/31908. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1841/31917. ------ 1. ==[ start ]==> (((a a) b)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 1842/31935. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a (^b.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. ------ 1843/31962. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^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. ------ 1844/31971. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 1845/31989. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 1846/32016. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 1847/32034. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a) b)) REDUCED to normal form. ------ 1848/32052. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(a (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. ------ 1849/32061. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 1850/32088. ------ 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. ------ 1851/32097. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1852/32124. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)(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. ------ 1853/32133. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a b)) 2. ==[ alpha ]==> (((a (^x.x)) b)(a b)) REDUCED to normal form. ------ 1854/32160. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a (a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a (a a))) 3. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 1855/32178. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(a (^z.z))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 1856/32187. ------ 1. ==[ start ]==> (((a a)(^b.a))(a a)) 2. ==[ alpha ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 1857/32195. ------ 1. ==[ start ]==> (^a.(b c)) 2. ==[ alpha ]==> (^x.(b c)) REDUCED to normal form. ------ 1858/32196. ------ 1. ==[ start ]==> (a (b c)) REDUCED to normal form. ------ 1859/32625. ------ 1. ==[ start ]==> (((a a)(^b.a)) b) 2. ==[ alpha ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 1860/32640. ------ 1. ==[ start ]==> ((^a.a)(b c)) 2. ==[ alpha ]==> ((^x.x)(b c)) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 1861/32649. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1862/32661. ------ 1. ==[ start ]==> (((^a.a) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z) a))) 3. ==[ beta ]==> (a (^y.((^z.z) a))) 4. ==[ alpha ]==> (a (^x.((^y.y) a))) 5. ==[ beta ]==> (a (^x.a)) REDUCED to normal form. ------ 1863/32694. ------ 1. ==[ start ]==> ((^a.b)(c (a a))) 2. ==[ alpha ]==> ((^x.b)(c (a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1864/32742. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 1865/32751. ------ 1. ==[ start ]==> (((a a)(a a))(^a.((^a.a) a))) 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. ------ 1866/32775. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(a a))) 3. ==[ beta ]==> (((a (^z.z))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 1867/32814. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.c)) 3. ==[ beta ]==> ((^y.y)(^x1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 1868/32823. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.y))) REDUCED to normal form. ------ 1869/32877. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 1870/32892. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z)) a)) 3. ==[ beta ]==> (^y.((a (^z.z)) a)) 4. ==[ alpha ]==> (^x.((a (^y.y)) a)) REDUCED to normal form. ------ 1871/32931. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(^a.(^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. ------ 1872/32940. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 1873/32964. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(a a))) 3. ==[ eta ]==> ((^y.y)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 1874/32976. ------ 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. ------ 1875/33012. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a a))) REDUCED to normal form. ------ 1876/33039. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 1877/33057. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.a)) 3. ==[ beta ]==> (((^y.y) a)(^z.a)) 4. ==[ alpha ]==> (((^x.x) a)(^y.a)) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 1878/33066. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 1879/33087. ------ 1. ==[ start ]==> ((a a)(b c)) REDUCED to normal form. ------ 1880/33096. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 1881/33105. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)((^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. ------ 1882/33123. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) a)) 5. ==[ beta ]==> (((^y.y) a) a) 6. ==[ alpha ]==> (((^x.x) a) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 1883/33132. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 1884/33141. ------ 1. ==[ start ]==> ((a b)(c (a a))) REDUCED to normal form. ------ 1885/33150. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y)) b)) 3. ==[ beta ]==> ((a a)((a (^y.y)) b)) 4. ==[ alpha ]==> ((a a)((a (^x.x)) b)) REDUCED to normal form. ------ 1886/33159. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^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. ------ 1887/33186. ------ 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))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 1888/33195. ------ 1. ==[ start ]==> (((a a)(a a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a a))(a ((^x.x) a))) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 1889/33222. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 1890/33231. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1891/33240. ------ 1. ==[ start ]==> (((a a) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 1892/33267. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.a))) REDUCED to normal form. ------ 1893/33285. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((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. ------ 1894/33294. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 1895/33312. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 1896/33321. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 1897/33339. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y)) a)) REDUCED to normal form. ------ 1898/33357. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (a a))) REDUCED to normal form. ------ 1899/33375. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1900/33384. ------ 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. ------ 1901/33411. ------ 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. ------ 1902/33420. ------ 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. ------ 1903/33447. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 1904/33456. ------ 1. ==[ start ]==> (((a (^a.a)) 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. ------ 1905/33483. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(^z.z))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 1906/33501. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.z) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 1907/33510. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 1908/33527. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(x (^x1.x1)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1909/33528. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 1910/33558. ------ 1. ==[ start ]==> ((^a.(a a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z) a))) 3. ==[ beta ]==> ((^y.((^z.z) a))(^y.((^z.z) a))) 4. ==[ alpha ]==> ((^x.((^y.y) a))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 1911/33783. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.c)) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.c)) 3. ==[ beta ]==> (^y.(^z.c)) 4. ==[ alpha ]==> (^x.(^y.c)) REDUCED to normal form. ------ 1912/33957. ------ 1. ==[ start ]==> (((a a)(^b.a)) c) 2. ==[ alpha ]==> (((a a)(^x.a)) c) REDUCED to normal form. ------ 1913/33975. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a))) a) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z))) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1914/33981. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1915/33990. ------ 1. ==[ start ]==> ((^a.(^a.a))(b c)) 2. ==[ alpha ]==> ((^x.(^y.y))(b c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1916/34008. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)((^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. ------ 1917/34011. ------ 1. ==[ start ]==> ((a (a a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))(^x.((^y.y) a))) 3. ==[ beta ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 1918/34035. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1919/34071. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1920/34083. ------ 1. ==[ start ]==> (((^a.a) b)(^c.c)) 2. ==[ alpha ]==> (((^x.x) b)(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 1921/34092. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 1922/34164. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.c)) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.c)) REDUCED to normal form. ------ 1923/34233. ------ 1. ==[ start ]==> ((^a.(^b.a))(a c)) 2. ==[ alpha ]==> ((^x.(^y.x))(a c)) 3. ==[ beta ]==> (^y.(a c)) 4. ==[ alpha ]==> (^x.(a c)) REDUCED to normal form. ------ 1924/34236. ------ 1. ==[ start ]==> ((a (^b.a))(^a.c)) 2. ==[ alpha ]==> ((a (^x.a))(^y.c)) REDUCED to normal form. ------ 1925/34272. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 1926/34281. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 1927/34305. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (^z.z))) 3. ==[ eta ]==> ((^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. ------ 1928/34317. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a a))) 3. ==[ beta ]==> ((^y.a)(^z.(a a))) 4. ==[ alpha ]==> ((^x.a)(^y.(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1929/34353. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 1930/34398. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(z z))) 3. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 1931/34407. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.a)) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.a)) REDUCED to normal form. ------ 1932/34425. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1933/34437. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 1934/34446. ------ 1. ==[ start ]==> ((a (^a.a))(b c)) 2. ==[ alpha ]==> ((a (^x.x))(b c)) REDUCED to normal form. ------ 1935/34455. ------ 1. ==[ start ]==> (((^a.a) a)((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)((a a)(^y.a))) 3. ==[ beta ]==> (a ((a a)(^y.a))) 4. ==[ alpha ]==> (a ((a a)(^x.a))) REDUCED to normal form. ------ 1936/34464. ------ 1. ==[ start ]==> ((a (a a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y) a))) 3. ==[ beta ]==> ((a (a a))((^y.y) a)) 4. ==[ alpha ]==> ((a (a a))((^x.x) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 1937/34482. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a) a)(((^x.x) a) a)) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 1938/34491. ------ 1. ==[ start ]==> ((a b)((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.y))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 1939/34509. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 1940/34527. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 1941/34536. ------ 1. ==[ start ]==> (((^a.a) b)((a a) c)) 2. ==[ alpha ]==> (((^x.x) b)((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 1942/34545. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)(^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. ------ 1943/34563. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 1944/34581. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((^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. ------ 1945/34590. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 1946/34608. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 1947/34644. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 1948/34662. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 1949/34671. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 1950/34689. ------ 1. ==[ start ]==> ((a (^b.a))(a c)) 2. ==[ alpha ]==> ((a (^x.a))(a c)) REDUCED to normal form. ------ 1951/34707. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))(^a.a))) 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. ------ 1952/34725. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a) b)) 3. ==[ beta ]==> ((^y.y)((a a) b)) 4. ==[ alpha ]==> ((^x.x)((a a) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 1953/34734. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^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. ------ 1954/34761. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.y))) 3. ==[ beta ]==> ((a a)(b (^y.y))) 4. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 1955/34770. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(a a))) 3. ==[ beta ]==> ((^y.a)((a a)(a a))) 4. ==[ alpha ]==> ((^x.a)((a a)(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 1956/34797. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 1957/34806. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.y))) REDUCED to normal form. ------ 1958/34833. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a a) a)) 2. ==[ alpha ]==> ((((^x.x) a) a)((a a) a)) 3. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 1959/34851. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a (a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(a (a a))) 3. ==[ beta ]==> (((^y.y) a)(a (a a))) 4. ==[ alpha ]==> (((^x.x) a)(a (a a))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 1960/34860. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y) a)) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 1961/34878. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 1962/34886. ------ 1. ==[ start ]==> (^a.((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((x (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 1963/34887. ------ 1. ==[ start ]==> (a ((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 1964/35142. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (^x.(^y.(a (^z.z)))) REDUCED to normal form. ------ 1965/35334. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a))) b) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z))) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 1966/35343. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a))) a) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 1967/35349. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 1968/35358. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1969/35376. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(^y.a))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(^y.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 1970/35388. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 1971/35403. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 1972/35439. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1973/35478. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(^y.y)) a)(^x1.x1)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 1974/35484. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((^z.a) a)(^y.y)) 4. ==[ alpha ]==> (((^x.a) a)(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 1975/35550. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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. ------ 1976/35601. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(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. ------ 1977/35604. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 1978/35673. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1)) a)) 3. ==[ eta ]==> ((^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. ------ 1979/35712. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 1980/35748. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.b)) 3. ==[ beta ]==> ((a a)(^y.b)) 4. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 1981/35766. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(^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. ------ 1982/35775. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 1983/35793. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 1984/35802. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 1985/35814. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 1986/35823. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 1987/35832. ------ 1. ==[ start ]==> (((^a.a) a)(b c)) 2. ==[ alpha ]==> (((^x.x) a)(b c)) 3. ==[ beta ]==> (a (b c)) REDUCED to normal form. ------ 1988/35841. ------ 1. ==[ start ]==> ((a (a a))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (a a))((a a)(^x.a))) REDUCED to normal form. ------ 1989/35850. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 1990/35868. ------ 1. ==[ start ]==> ((a b)(((^a.a) a) a)) 2. ==[ alpha ]==> ((a b)(((^x.x) a) a)) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 1991/35877. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(^a.a))) 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. ------ 1992/35904. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 1993/35913. ------ 1. ==[ start ]==> (((^a.a) b)(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(b (a (^y.y)))) 3. ==[ beta ]==> (b (b (a (^y.y)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 1994/35940. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 1995/35949. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a) a)) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 1996/35967. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(a a))) REDUCED to normal form. ------ 1997/35985. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b (^a.(^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. ------ 1998/35994. ------ 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. ------ 1999/36012. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(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. ------ 2000/36039. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 2001/36048. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b b)) REDUCED to normal form. ------ 2002/36066. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(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. ------ 2003/36084. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 2004/36102. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(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. ------ 2005/36111. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a a) b)) REDUCED to normal form. ------ 2006/36138. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 2007/36147. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.z))) 3. ==[ beta ]==> ((^y.a)(b (^z.z))) 4. ==[ alpha ]==> ((^x.a)(b (^y.y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2008/36174. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 2009/36183. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b a)) 2. ==[ alpha ]==> (((a (^x.x)) b)(b a)) REDUCED to normal form. ------ 2010/36210. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a b)) 2. ==[ alpha ]==> ((((^x.x) a) a)(a b)) 3. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 2011/36228. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 2012/36237. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (a a))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (a a))) REDUCED to normal form. ------ 2013/36255. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 2014/36264. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 2015/36411. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.(x (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.z)) 5. ==[ beta ]==> ((^z.z)(^y.y)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2016/36528. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(^a.(^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. ------ 2017/36600. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(a (^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. ------ 2018/36729. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a))) b) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 2019/36753. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2020/36771. ------ 1. ==[ start ]==> ((^a.(a a))(b c)) 2. ==[ alpha ]==> ((^x.(x x))(b c)) 3. ==[ beta ]==> ((b c)(b c)) REDUCED to normal form. ------ 2021/36792. ------ 1. ==[ start ]==> (((a a) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)(^x.((^y.y) a))) 3. ==[ beta ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 2022/36834. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2023/36873. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 2024/36879. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((a ((^z.z) a))(^y.y)) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 2025/36882. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 2026/36945. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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. ------ 2027/36954. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 2028/36996. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 2029/36999. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 2030/37068. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (a (^z.z)))) 3. ==[ eta ]==> ((^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. ------ 2031/37071. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.(a (^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. ------ 2032/37107. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.y1)) 3. ==[ beta ]==> ((^y.y)(^y1.y1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2033/37116. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 2034/37143. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(a a))) 3. ==[ beta ]==> ((a a)(^y.(a a))) 4. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 2035/37170. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 2036/37188. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.a)) 3. ==[ beta ]==> ((^y.y)(^x1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 2037/37197. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 2038/37227. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 2039/37236. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (a ((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 2040/37245. ------ 1. ==[ start ]==> ((a (a a))(b c)) REDUCED to normal form. ------ 2041/37254. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 2042/37263. ------ 1. ==[ start ]==> (((a a) a)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a a) a)((^y.y) a)) 4. ==[ alpha ]==> (((a a) a)((^x.x) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 2043/37281. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a) a)) 3. ==[ beta ]==> ((a a)(((^y.y) a) a)) 4. ==[ alpha ]==> ((a a)(((^x.x) a) a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 2044/37290. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 2045/37308. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 2046/37317. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 2047/37326. ------ 1. ==[ start ]==> (((a a)(a a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(b (a (^x.x)))) REDUCED to normal form. ------ 2048/37344. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(^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. ------ 2049/37353. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.y) a))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 2050/37362. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2051/37371. ------ 1. ==[ start ]==> (((a a) b)(c (^a.a))) 2. ==[ alpha ]==> (((a a) b)(c (^x.x))) REDUCED to normal form. ------ 2052/37389. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2053/37398. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.(^z.z)))) REDUCED to normal form. ------ 2054/37425. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 2055/37443. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((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. ------ 2056/37452. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^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. ------ 2057/37470. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 2058/37506. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 2059/37515. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (a a))) REDUCED to normal form. ------ 2060/37542. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a (a (^y.y)))) 3. ==[ beta ]==> ((a a)(a (a (^y.y)))) 4. ==[ alpha ]==> ((a a)(a (a (^x.x)))) REDUCED to normal form. ------ 2061/37551. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2062/37578. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a) 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. ------ 2063/37587. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 2064/37614. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(a a))) 3. ==[ beta ]==> ((a a)((^y.y)(a a))) 4. ==[ alpha ]==> ((a a)((^x.x)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 2065/37632. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a) a)) 3. ==[ beta ]==> (((^y.y) a)((a a) a)) 4. ==[ alpha ]==> (((^x.x) a)((a a) a)) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 2066/37641. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 2067/37659. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 2068/37668. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 2069/37685. ------ 1. ==[ start ]==> (^a.((^b.a)(a a))) 2. ==[ alpha ]==> (^x.((^y.x)(x x))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 2070/37686. ------ 1. ==[ start ]==> (a ((^b.a)(a a))) 2. ==[ alpha ]==> (a ((^x.a)(a a))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 2071/37743. ------ 1. ==[ start ]==> ((^a.b)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)(^y.((^z.z) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2072/37824. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((^z.(^x1.a))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.a))(^z.z)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 2073/38013. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 2074/38166. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 3. ==[ beta ]==> ((^y.a)(a a)) 4. ==[ alpha ]==> ((^x.a)(a a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2075/38193. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2076/38220. ------ 1. ==[ start ]==> ((^a.b)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.y)((^z.z) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2077/38223. ------ 1. ==[ start ]==> ((a b)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a b)(^x.((^y.y) a))) 3. ==[ beta ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 2078/38301. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(^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. ------ 2079/38304. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 2080/38313. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.x)(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2081/38376. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 2082/38418. ------ 1. ==[ start ]==> ((^a.(^b.a))(b b)) 2. ==[ alpha ]==> ((^x.(^y.x))(b b)) 3. ==[ beta ]==> (^y.(b b)) 4. ==[ alpha ]==> (^x.(b b)) REDUCED to normal form. ------ 2083/38439. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 2084/38490. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2085/38493. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 2086/38502. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(a (^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. ------ 2087/38538. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.b)) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 2088/38583. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.b)) 3. ==[ beta ]==> (((^y.y) a)(^z.b)) 4. ==[ alpha ]==> (((^x.x) a)(^y.b)) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 2089/38592. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.a)) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.a)) REDUCED to normal form. ------ 2090/38610. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2091/38619. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 2092/38649. ------ 1. ==[ start ]==> ((a a)((^b.a)(a a))) 2. ==[ alpha ]==> ((a a)((^x.a)(a a))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 2093/38667. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (a ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 2094/38676. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 2095/38685. ------ 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. ------ 2096/38694. ------ 1. ==[ start ]==> (((a a) a)((a a)(^b.a))) 2. ==[ alpha ]==> (((a a) a)((a a)(^x.a))) REDUCED to normal form. ------ 2097/38703. ------ 1. ==[ start ]==> ((a b)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a b)((^x.x)((^y.y) a))) 3. ==[ beta ]==> ((a b)((^y.y) a)) 4. ==[ alpha ]==> ((a b)((^x.x) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 2098/38721. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a) a)) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 2099/38748. ------ 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. ------ 2100/38757. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(^a.(^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. ------ 2101/38784. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)(^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. ------ 2102/38793. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 2103/38802. ------ 1. ==[ start ]==> (((a a) b)((^b.a) a)) 2. ==[ alpha ]==> (((a a) b)((^x.a) a)) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 2104/38820. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 5. ==[ beta ]==> ((a (^y.y))(a a)) 6. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 2105/38829. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 2106/38847. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 2107/38883. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 2108/38901. ------ 1. ==[ start ]==> ((a (^b.a))(b b)) 2. ==[ alpha ]==> ((a (^x.a))(b b)) REDUCED to normal form. ------ 2109/38919. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 2110/38937. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((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. ------ 2111/38946. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 2112/38973. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 2113/38982. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a (a (^z.z)))) 3. ==[ beta ]==> ((^y.a)(a (a (^z.z)))) 4. ==[ alpha ]==> ((^x.a)(a (a (^y.y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2114/39009. ------ 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)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 2115/39018. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) b)) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 2116/39045. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a a)(^a.a))) 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. ------ 2117/39063. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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. ------ 2118/39072. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((a a) a)) REDUCED to normal form. ------ 2119/39090. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(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. ------ 2120/39099. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 2121/39125. ------ 1. ==[ start ]==> (^a.(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (^x.(((^y.y) x)(^z.z))) 3. ==[ beta ]==> (^x.(x (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 2122/39126. ------ 1. ==[ start ]==> (a (((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (a (((^x.x) a)(^y.y))) 3. ==[ beta ]==> (a (a (^y.y))) 4. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 2123/39183. ------ 1. ==[ start ]==> ((^a.b)(^c.(^b.a))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2124/39609. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a)) 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. ------ 2125/39615. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((^y.y) a)(^z.z)) 4. ==[ alpha ]==> (((^x.x) a)(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 2126/39624. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 2127/39642. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^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)))) REDUCED to normal form. ------ 2128/39669. ------ 1. ==[ start ]==> ((^a.b)((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.b)((a a)(^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2129/39672. ------ 1. ==[ start ]==> ((a b)(^c.(^b.a))) 2. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 2130/39681. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a a)(^y.((^z.z) a))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y) a))) 5. ==[ beta ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 2131/39705. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2132/39762. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2133/39771. ------ 1. ==[ start ]==> (((a a) b)(^a.((^a.a) a))) 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. ------ 2134/39843. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 2135/39867. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(a a))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2136/39906. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 2137/39939. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a) b)) 3. ==[ eta ]==> ((^y.y)((a a) b)) 4. ==[ alpha ]==> ((^x.x)((a a) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 2138/39951. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(^a.(^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. ------ 2139/39987. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a a))) REDUCED to normal form. ------ 2140/40032. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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. ------ 2141/40041. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.b)) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.b)) REDUCED to normal form. ------ 2142/40059. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2143/40068. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 2144/40095. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^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. ------ 2145/40107. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)(^a.a))) 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. ------ 2146/40116. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(a a))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 2147/40134. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 2148/40143. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2149/40152. ------ 1. ==[ start ]==> (((a a) a)(b c)) REDUCED to normal form. ------ 2150/40161. ------ 1. ==[ start ]==> ((a b)((a a)(^b.a))) 2. ==[ alpha ]==> ((a b)((a a)(^x.a))) REDUCED to normal form. ------ 2151/40170. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 2152/40197. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 2153/40206. ------ 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. ------ 2154/40215. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x)) b)) REDUCED to normal form. ------ 2155/40233. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 2156/40251. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)(^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. ------ 2157/40260. ------ 1. ==[ start ]==> (((a a) b)(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)(a ((^x.x) a))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 2158/40287. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(a a))) REDUCED to normal form. ------ 2159/40305. ------ 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)))) REDUCED to normal form. ------ 2160/40314. ------ 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. ------ 2161/40332. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 2162/40359. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 2163/40377. ------ 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. ------ 2164/40395. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a c)) 3. ==[ beta ]==> ((^y.y)(a c)) 4. ==[ alpha ]==> ((^x.x)(a c)) 5. ==[ beta ]==> (a c) REDUCED to normal form. ------ 2165/40404. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y)) a)) REDUCED to normal form. ------ 2166/40431. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a) b)) 3. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 2167/40440. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2168/40467. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (^a.a))) 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. ------ 2169/40476. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(a a))) REDUCED to normal form. ------ 2170/40503. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b a)) 2. ==[ alpha ]==> ((((^x.x) a) a)(b a)) 3. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 2171/40521. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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. ------ 2172/40530. ------ 1. ==[ start ]==> (((a a)(^b.a))(a b)) 2. ==[ alpha ]==> (((a a)(^x.a))(a b)) REDUCED to normal form. ------ 2173/40548. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)(^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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2174/40557. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 2175/40584. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(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. ------ 2176/41076. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a)) b) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y)) b) 3. ==[ beta ]==> ((a (^y.y)) b) 4. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 2177/41100. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2178/41145. ------ 1. ==[ start ]==> ((^a.b)(b c)) 2. ==[ alpha ]==> ((^x.b)(b c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2179/41166. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 2180/41181. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2181/41226. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (a (^z.z)))) 3. ==[ beta ]==> ((b (a (^z.z)))(^y.y)) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 2182/41247. ------ 1. ==[ start ]==> (((a a) b)(^b.(^b.a))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.a))) REDUCED to normal form. ------ 2183/41319. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 2184/41328. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.z))) REDUCED to normal form. ------ 2185/41343. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (^x.((a (^y.y))(^z.z))) REDUCED to normal form. ------ 2186/41382. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(a (^a.a)))) 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))) REDUCED to normal form. ------ 2187/41415. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (a a))) 3. ==[ eta ]==> ((^y.y)(b (a a))) 4. ==[ alpha ]==> ((^x.x)(b (a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 2188/41427. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.b)) 3. ==[ beta ]==> ((^y.a)(^z.b)) 4. ==[ alpha ]==> ((^x.a)(^y.b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2189/41490. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 2190/41517. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 2191/41544. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 2192/41571. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 2193/41585. ------ 1. ==[ start ]==> (^a.(^a.(^a.(a a)))) 2. ==[ alpha ]==> (^x.(^y.(^z.(z z)))) REDUCED to normal form. ------ 2194/41586. ------ 1. ==[ start ]==> (a (^a.(^a.(a a)))) 2. ==[ alpha ]==> (a (^x.(^y.(y y)))) REDUCED to normal form. ------ 2195/41601. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 2196/41610. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)(a a))) 3. ==[ beta ]==> (a ((^y.a)(a a))) 4. ==[ alpha ]==> (a ((^x.a)(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 2197/41628. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 2198/41637. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 2199/41646. ------ 1. ==[ start ]==> ((a b)(b c)) REDUCED to normal form. ------ 2200/41655. ------ 1. ==[ start ]==> (((^a.a)(a a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.a))) 3. ==[ beta ]==> ((a a)((a a)(^y.a))) 4. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 2201/41664. ------ 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)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 2202/41682. ------ 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. ------ 2203/41691. ------ 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))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 2204/41718. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 2205/41727. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 2206/41745. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(^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. ------ 2207/41763. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.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. ------ 2208/41790. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 2209/41799. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 2210/41826. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.a))) REDUCED to normal form. ------ 2211/41844. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 2212/41862. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b b)) REDUCED to normal form. ------ 2213/41880. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 2214/41916. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (a a))) 3. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 2215/41925. ------ 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 REDUCED to normal form. ------ 2216/41952. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2217/41961. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.y))) REDUCED to normal form. ------ 2218/41988. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 2219/42006. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(^z.z))) 3. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 2220/42015. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 2221/42033. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((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. ------ 2222/42042. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(^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. ------ 2223/42069. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(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. ------ 2224/42084. ------ 1. ==[ start ]==> ((^a.(^a.(a a))) a) 2. ==[ alpha ]==> ((^x.(^y.(y y))) a) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2225/42086. ------ 1. ==[ start ]==> (^a.(a (^a.(a a)))) 2. ==[ alpha ]==> (^x.(x (^y.(y y)))) REDUCED to normal form. ------ 2226/42087. ------ 1. ==[ start ]==> (a (a (^a.(a a)))) 2. ==[ alpha ]==> (a (a (^x.(x x)))) REDUCED to normal form. ------ 2227/42090. ------ 1. ==[ start ]==> ((^a.a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 3. ==[ beta ]==> (^y.(^z.(z z))) 4. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 2228/42585. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.z)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2229/42588. ------ 1. ==[ start ]==> ((a (^a.(a a))) a) 2. ==[ alpha ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 2230/42594. ------ 1. ==[ start ]==> ((^a.a)(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 3. ==[ beta ]==> (a (^y.(y y))) 4. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 2231/42597. ------ 1. ==[ start ]==> ((a a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 2232/42621. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(a a))) 3. ==[ beta ]==> (((^y.a)(a a))((^y.a)(a a))) 4. ==[ alpha ]==> (((^x.a)(a a))((^y.a)(a a))) 5. ==[ beta ]==> (a ((^y.a)(a a))) 6. ==[ alpha ]==> (a ((^x.a)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 2233/42648. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2234/42729. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.(^z1.z1)))(^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. ------ 2235/42750. ------ 1. ==[ start ]==> (((a a) b)(^c.c)) 2. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 2236/42768. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2237/42831. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.c)) REDUCED to normal form. ------ 2238/42846. ------ 1. ==[ start ]==> ((^a.(^b.a))(c a)) 2. ==[ alpha ]==> ((^x.(^y.x))(c a)) 3. ==[ beta ]==> (^y.(c a)) 4. ==[ alpha ]==> (^x.(c a)) REDUCED to normal form. ------ 2239/42885. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(^a.(^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. ------ 2240/42894. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 2241/42918. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.y1))) 3. ==[ eta ]==> ((^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. ------ 2242/42957. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(a (^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. ------ 2243/42993. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.y)) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 2244/43020. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 2245/43038. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.b)) 3. ==[ beta ]==> ((^y.y)(^x1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 2246/43074. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^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. ------ 2247/43089. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2248/43092. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.a)) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 2249/43104. ------ 1. ==[ start ]==> ((a a)(a (^a.(a a)))) 2. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 2250/43122. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) 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))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 2251/43131. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(a a))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 2252/43149. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 2253/43158. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 2254/43167. ------ 1. ==[ start ]==> (((^a.a)(a a))(b c)) 2. ==[ alpha ]==> (((^x.x)(a a))(b c)) 3. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 2255/43176. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 2256/43203. ------ 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)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 2257/43212. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 2258/43230. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z)) b)) 3. ==[ beta ]==> ((^y.y)((a (^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 2259/43239. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^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. ------ 2260/43248. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2261/43257. ------ 1. ==[ start ]==> (((a a) b)((a a) c)) REDUCED to normal form. ------ 2262/43275. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1) 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. ------ 2263/43284. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a) a)) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 2264/43302. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((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. ------ 2265/43311. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 2266/43329. ------ 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 (^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. ------ 2267/43356. ------ 1. ==[ start ]==> ((a (^b.a))(c a)) 2. ==[ alpha ]==> ((a (^x.a))(c a)) REDUCED to normal form. ------ 2268/43374. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 2269/43392. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 2270/43401. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)(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. ------ 2271/43428. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 2272/43437. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (a a))) 3. ==[ beta ]==> ((^y.a)(b (a a))) 4. ==[ alpha ]==> ((^x.a)(b (a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2273/43464. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 2274/43473. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 2275/43500. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y) b)) 3. ==[ beta ]==> ((a a)((^y.y) b)) 4. ==[ alpha ]==> ((a a)((^x.x) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 2276/43518. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b a)) 3. ==[ beta ]==> (((^y.y) a)(b a)) 4. ==[ alpha ]==> (((^x.x) a)(b a)) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 2277/43527. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 2278/43545. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 2279/43554. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 2280/43581. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^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. ------ 2281/43596. ------ 1. ==[ start ]==> ((^a.(^a.(a a))) b) 2. ==[ alpha ]==> ((^x.(^y.(y y))) b) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2282/43599. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a a)) 2. ==[ alpha ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 2283/43620. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2284/43701. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2285/43863. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.(^z.(^x1.z))) 4. ==[ alpha ]==> (^x.(^y.(^z.y))) REDUCED to normal form. ------ 2286/44106. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2287/44109. ------ 1. ==[ start ]==> ((a (^a.(a a))) b) 2. ==[ alpha ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 2288/44133. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2289/44136. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 2290/44151. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)(^a.a))) 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. ------ 2291/44178. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2292/44214. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2293/44217. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 2294/44259. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z)) b)) 3. ==[ beta ]==> (((a (^z.z)) b)(^y.y)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 2295/44298. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.(^b.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. ------ 2296/44307. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 2297/44376. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (^z.a))) 3. ==[ beta ]==> (^y.(a (^z.a))) 4. ==[ alpha ]==> (^x.(a (^y.a))) REDUCED to normal form. ------ 2298/44379. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 2299/44448. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z)) a)) 3. ==[ eta ]==> ((^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. ------ 2300/44487. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 2301/44496. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(y (^z.z)))) REDUCED to normal form. ------ 2302/44541. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 2303/44568. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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)) REDUCED to normal form. ------ 2304/44577. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.b)) REDUCED to normal form. ------ 2305/44604. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^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. ------ 2306/44619. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (^z.z))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2307/44622. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 2308/44652. ------ 1. ==[ start ]==> ((a (^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 2309/44670. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)(^a.a))) 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. ------ 2310/44679. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 2311/44697. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 2312/44706. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 2313/44715. ------ 1. ==[ start ]==> (((a a)(^a.a))(b c)) 2. ==[ alpha ]==> (((a a)(^x.x))(b c)) REDUCED to normal form. ------ 2314/44733. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 2315/44751. ------ 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. ------ 2316/44778. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 2317/44787. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^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. ------ 2318/44796. ------ 1. ==[ start ]==> (((a a) b)(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(b (a (^x.x)))) REDUCED to normal form. ------ 2319/44814. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)(^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. ------ 2320/44823. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a ((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 2321/44850. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 2322/44868. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 2323/44877. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(a (^z.z)))) REDUCED to normal form. ------ 2324/44895. ------ 1. ==[ start ]==> ((a (^b.a))(a (^b.a))) 2. ==[ alpha ]==> ((a (^x.a))(a (^y.a))) REDUCED to normal form. ------ 2325/44913. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 2326/44931. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 2327/44940. ------ 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. ------ 2328/44967. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y)) a)) 3. ==[ beta ]==> ((a a)((a (^y.y)) a)) 4. ==[ alpha ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 2329/44976. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2330/45003. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2331/45012. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (a (^y.y)))) REDUCED to normal form. ------ 2332/45039. ------ 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. ------ 2333/45057. ------ 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. ------ 2334/45066. ------ 1. ==[ start ]==> (((a a)(^b.a))(b a)) 2. ==[ alpha ]==> (((a a)(^x.a))(b a)) REDUCED to normal form. ------ 2335/45084. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 2336/45093. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 2337/45120. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(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. ------ 2338/45138. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 2339/45155. ------ 1. ==[ start ]==> (^a.((a a)((^a.a) a))) 2. ==[ alpha ]==> (^x.((x x)((^y.y) x))) 3. ==[ beta ]==> (^x.((x x) x)) REDUCED to normal form. ------ 2340/45156. ------ 1. ==[ start ]==> (a ((a a)((^a.a) a))) 2. ==[ alpha ]==> (a ((a a)((^x.x) a))) 3. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 2341/45411. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.c)) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.c)) 3. ==[ beta ]==> (^y.(^z.c)) 4. ==[ alpha ]==> (^x.(^y.c)) REDUCED to normal form. ------ 2342/45654. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2343/45675. ------ 1. ==[ start ]==> (((a a)((^a.a) a)) a) 2. ==[ alpha ]==> (((a a)((^x.x) a)) a) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 2344/45681. ------ 1. ==[ start ]==> ((^a.a)((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 3. ==[ beta ]==> ((a a)((^y.y) a)) 4. ==[ alpha ]==> ((a a)((^x.x) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 2345/45702. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(z z)))) 3. ==[ beta ]==> (a (^y.(^z.(z z)))) 4. ==[ alpha ]==> (a (^x.(^y.(y y)))) REDUCED to normal form. ------ 2346/45735. ------ 1. ==[ start ]==> ((^a.b)(c b)) 2. ==[ alpha ]==> ((^x.b)(c b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2347/45771. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2348/45783. ------ 1. ==[ start ]==> (((^a.a) b)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 2349/45864. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.a))) REDUCED to normal form. ------ 2350/45933. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a) 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. ------ 2351/45936. ------ 1. ==[ start ]==> ((a (^b.a))(^b.c)) 2. ==[ alpha ]==> ((a (^x.a))(^y.c)) REDUCED to normal form. ------ 2352/46053. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 2353/46098. ------ 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. ------ 2354/46107. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 2355/46134. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 2356/46161. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^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. ------ 2357/46176. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2358/46179. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.a)) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.a)) REDUCED to normal form. ------ 2359/46197. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.a)) 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. ------ 2360/46209. ------ 1. ==[ start ]==> ((a a)((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a a)((a a)((^x.x) a))) 3. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 2361/46227. ------ 1. ==[ start ]==> (((^a.a) a)(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(a (^y.(y y)))) 3. ==[ beta ]==> (a (a (^y.(y y)))) 4. ==[ alpha ]==> (a (a (^x.(x x)))) REDUCED to normal form. ------ 2362/46245. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 2363/46254. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(a a))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(a a))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 2364/46263. ------ 1. ==[ start ]==> ((a b)(c b)) REDUCED to normal form. ------ 2365/46272. ------ 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. ------ 2366/46281. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^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. ------ 2367/46299. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 2368/46308. ------ 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 ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 2369/46335. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(^a.a))) 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. ------ 2370/46353. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2371/46362. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 2372/46389. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)(^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. ------ 2373/46407. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^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. ------ 2374/46434. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2375/46443. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 2376/46461. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a) c)) 2. ==[ alpha ]==> ((a (^x.a))((^y.y) c)) 3. ==[ beta ]==> ((a (^x.a)) c) REDUCED to normal form. ------ 2377/46497. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 2378/46506. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b b)) REDUCED to normal form. ------ 2379/46542. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a)) 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 REDUCED to normal form. ------ 2380/46569. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 2381/46578. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 2382/46605. ------ 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. ------ 2383/46623. ------ 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. ------ 2384/46632. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 2385/46650. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 2386/46659. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(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. ------ 2387/46686. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^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. ------ 2388/46704. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) a)) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 2389/46722. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a a)) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 2390/46730. ------ 1. ==[ start ]==> (^a.(b (^b.a))) 2. ==[ alpha ]==> (^x.(b (^y.x))) REDUCED to normal form. ------ 2391/46731. ------ 1. ==[ start ]==> (a (b (^b.a))) 2. ==[ alpha ]==> (a (b (^x.a))) REDUCED to normal form. ------ 2392/46761. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((^y.(^z.(z z)))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2393/46986. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (^x.(^y.(a (^z.z)))) REDUCED to normal form. ------ 2394/47058. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(a (^a.a)))) 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))) REDUCED to normal form. ------ 2395/47229. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(z z))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2396/47250. ------ 1. ==[ start ]==> (((a a)((^a.a) a)) b) 2. ==[ alpha ]==> (((a a)((^x.x) a)) b) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 2397/47265. ------ 1. ==[ start ]==> ((^a.a)(b (^b.a))) 2. ==[ alpha ]==> ((^x.x)(b (^y.a))) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 2398/47274. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2399/47292. ------ 1. ==[ start ]==> ((^a.(a a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(a (^y.(y y)))) 3. ==[ beta ]==> ((a (^y.(y y)))(a (^y.(y y)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 2400/47295. ------ 1. ==[ start ]==> ((a (a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 2401/47319. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2402/47355. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2403/47367. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 2404/47376. ------ 1. ==[ start ]==> (((a a)(a a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 2405/47400. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(^a.a))) 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. ------ 2406/47466. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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. ------ 2407/47517. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(a (^z.z)))) 3. ==[ beta ]==> (^y.((a a)(a (^z.z)))) 4. ==[ alpha ]==> (^x.((a a)(a (^y.y)))) REDUCED to normal form. ------ 2408/47520. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 2409/47538. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 2410/47589. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)(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. ------ 2411/47592. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 2412/47601. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.c)) 3. ==[ beta ]==> ((^y.a)(^z.c)) 4. ==[ alpha ]==> ((^x.a)(^y.c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2413/47637. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.b)) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.b)) REDUCED to normal form. ------ 2414/47691. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.b)) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 2415/47760. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2416/47763. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 2417/47781. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 2418/47802. ------ 1. ==[ start ]==> ((a a)(b (^b.a))) 2. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 2419/47811. ------ 1. ==[ start ]==> ((a (^a.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 2420/47829. ------ 1. ==[ start ]==> ((a (a a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))(a (^x.(x x)))) REDUCED to normal form. ------ 2421/47847. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)(^a.a))) 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. ------ 2422/47856. ------ 1. ==[ start ]==> ((a b)((^b.a)(a a))) 2. ==[ alpha ]==> ((a b)((^x.a)(a a))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 2423/47874. ------ 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. ------ 2424/47892. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b c)) REDUCED to normal form. ------ 2425/47901. ------ 1. ==[ start ]==> (((^a.a) b)((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x) b)((a a)(^y.a))) 3. ==[ beta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 2426/47910. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 2427/47928. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 2428/47937. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 2429/47955. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a) b)((a (^x.x)) b)) REDUCED to normal form. ------ 2430/47973. ------ 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)(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. ------ 2431/48000. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(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. ------ 2432/48009. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 2433/48027. ------ 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)((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. ------ 2434/48036. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 2435/48054. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 2436/48072. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 2437/48090. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((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. ------ 2438/48099. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 2439/48126. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)(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. ------ 2440/48135. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a c)) 3. ==[ beta ]==> ((^y.a)(a c)) 4. ==[ alpha ]==> ((^x.a)(a c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2441/48162. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (a a))) 3. ==[ beta ]==> ((^y.y)(b (a a))) 4. ==[ alpha ]==> ((^x.x)(b (a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 2442/48171. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a) b)) REDUCED to normal form. ------ 2443/48198. ------ 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)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 2444/48216. ------ 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. ------ 2445/48225. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y) b)) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 2446/48243. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 2447/48252. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 2448/48279. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((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. ------ 2449/48297. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (a a))) REDUCED to normal form. ------ 2450/48315. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a (^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a (^y.y))) 3. ==[ beta ]==> (((a a) a)(a (^y.y))) 4. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 2451/48831. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2452/48885. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2453/48915. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 2454/48930. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2455/48966. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2456/49011. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> ((((^z.z) a) a)(^y.y)) 4. ==[ alpha ]==> ((((^x.x) a) a)(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 2457/49077. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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. ------ 2458/49086. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 2459/49128. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(b (^y.(^z.z)))) REDUCED to normal form. ------ 2460/49149. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.c)) REDUCED to normal form. ------ 2461/49200. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(^z.(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 2462/49212. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(a (^a.a)))) 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. ------ 2463/49275. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(a (^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. ------ 2464/49302. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 2465/49320. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^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. ------ 2466/49356. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^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. ------ 2467/49371. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(^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. ------ 2468/49374. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 2469/49392. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.a)) 3. ==[ beta ]==> (((a a) a)(^y.a)) 4. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 2470/49431. ------ 1. ==[ start ]==> ((a (^a.a))(b (^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 2471/49440. ------ 1. ==[ start ]==> (((^a.a) a)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)((a a)((^y.y) a))) 3. ==[ beta ]==> (a ((a a)((^y.y) a))) 4. ==[ alpha ]==> (a ((a a)((^x.x) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 2472/49458. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 2473/49476. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(^a.a))) 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. ------ 2474/49485. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a a))) 3. ==[ beta ]==> ((a a)((^y.a)(a a))) 4. ==[ alpha ]==> ((a a)((^x.a)(a a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 2475/49512. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 2476/49521. ------ 1. ==[ start ]==> (((^a.a) b)(b c)) 2. ==[ alpha ]==> (((^x.x) b)(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 2477/49530. ------ 1. ==[ start ]==> (((a a)(a a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))((a a)(^x.a))) REDUCED to normal form. ------ 2478/49557. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a) a)) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 2479/49566. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)(^a.a))) 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. ------ 2480/49575. ------ 1. ==[ start ]==> (((a a) b)(c (a a))) REDUCED to normal form. ------ 2481/49593. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^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. ------ 2482/49602. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (a (^y.y)))) REDUCED to normal form. ------ 2483/49620. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^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. ------ 2484/49629. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 2485/49656. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(a a))) REDUCED to normal form. ------ 2486/49674. ------ 1. ==[ start ]==> ((a (^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 2487/49710. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c a)) 3. ==[ beta ]==> ((^y.y)(c a)) 4. ==[ alpha ]==> ((^x.x)(c a)) 5. ==[ beta ]==> (c a) REDUCED to normal form. ------ 2488/49719. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 2489/49746. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 2490/49755. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(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. ------ 2491/49782. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2492/49791. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (a a))) REDUCED to normal form. ------ 2493/49818. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a (a (^a.a)))) 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. ------ 2494/49836. ------ 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. ------ 2495/49845. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 2496/49863. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 2497/49872. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b a)) REDUCED to normal form. ------ 2498/49899. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(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. ------ 2499/49917. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 2500/49935. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y) a)) 3. ==[ beta ]==> (((a a) a)((^y.y) a)) 4. ==[ alpha ]==> (((a a) a)((^x.x) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 2501/49961. ------ 1. ==[ start ]==> (^a.((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (^x.((x (^y.y))(x (^z.z)))) REDUCED to normal form. ------ 2502/49962. ------ 1. ==[ start ]==> (a ((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (a ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 2503/50508. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a))) a) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 2504/50514. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(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. ------ 2505/50541. ------ 1. ==[ start ]==> ((^a.(a a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((a a)((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)((a a)((^x.x) a))) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 2506/50562. ------ 1. ==[ start ]==> (((a a) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 2507/50604. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2508/50643. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 2509/50724. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 2510/50766. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (^y.((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (^x.((^y.(^z.z)) b)) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2511/50805. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 2512/50838. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b b)) 3. ==[ eta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 2513/50850. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(^a.(^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. ------ 2514/50913. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 2515/50958. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2516/50967. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 2517/50994. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^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. ------ 2518/51009. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2519/51030. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(y y))) 3. ==[ beta ]==> (((a a) a)(^y.(y y))) 4. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 2520/51057. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 2521/51069. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 2522/51087. ------ 1. ==[ start ]==> (((^a.a) a)(b (^b.a))) 2. ==[ alpha ]==> (((^x.x) a)(b (^y.a))) 3. ==[ beta ]==> (a (b (^y.a))) 4. ==[ alpha ]==> (a (b (^x.a))) REDUCED to normal form. ------ 2523/51096. ------ 1. ==[ start ]==> ((a (a a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))((a a)((^x.x) a))) 3. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 2524/51114. ------ 1. ==[ start ]==> (((a a) a)(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)(a (^x.(x x)))) REDUCED to normal form. ------ 2525/51132. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 2526/51141. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 2527/51159. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 2528/51168. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 2529/51177. ------ 1. ==[ start ]==> (((a a)(a a))(b c)) REDUCED to normal form. ------ 2530/51195. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)((^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. ------ 2531/51213. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2532/51222. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 2533/51240. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 2534/51249. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 2535/51276. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 2536/51294. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 2537/51321. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 2538/51339. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 2539/51357. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(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. ------ 2540/51393. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b b)) 2. ==[ alpha ]==> ((a ((^x.x) a))(b b)) 3. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 2541/51402. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2542/51429. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) a)) 5. ==[ beta ]==> ((a (^y.y)) a) 6. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 2543/51438. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 2544/51465. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 2545/51483. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) a)) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 2546/51492. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 2547/51510. ------ 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)((^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. ------ 2548/51519. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 2549/51546. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^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. ------ 2550/51564. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a) a)) REDUCED to normal form. ------ 2551/51582. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a (a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a (a a))) 3. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 2552/51609. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 2553/51675. ------ 1. ==[ start ]==> ((^a.b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(z z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2554/51756. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^z.((^x1.x1) a))(^y.y)) 4. ==[ alpha ]==> ((^x.((^y.y) a))(^z.z)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 2555/52116. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2556/52164. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a))) b) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 2557/52188. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2558/52206. ------ 1. ==[ start ]==> ((^a.(a a))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(x x))(b (^y.a))) 3. ==[ beta ]==> ((b (^y.a))(b (^y.a))) 4. ==[ alpha ]==> ((b (^x.a))(b (^y.a))) REDUCED to normal form. ------ 2559/52233. ------ 1. ==[ start ]==> ((^a.b)(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)(a (^y.(y y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2560/52236. ------ 1. ==[ start ]==> ((a b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 2561/52314. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)((^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. ------ 2562/52317. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.x)))(^y.a)) REDUCED to normal form. ------ 2563/52407. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(^y.y))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2564/52431. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(a a))) 3. ==[ beta ]==> (^y.((a (^z.z))(a a))) 4. ==[ alpha ]==> (^x.((a (^y.y))(a a))) REDUCED to normal form. ------ 2565/52470. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 2566/52479. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.y))) REDUCED to normal form. ------ 2567/52503. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(a a))) 3. ==[ eta ]==> ((^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. ------ 2568/52596. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(y (^z.z)))) 5. ==[ beta ]==> (a (^y.(y (^z.z)))) 6. ==[ alpha ]==> (a (^x.(x (^y.y)))) REDUCED to normal form. ------ 2569/52632. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 2570/52674. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2571/52677. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.b)) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.b)) REDUCED to normal form. ------ 2572/52695. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 2573/52722. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 2574/52752. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 2575/52770. ------ 1. ==[ start ]==> ((a (a a))(b (^b.a))) 2. ==[ alpha ]==> ((a (a a))(b (^x.a))) REDUCED to normal form. ------ 2576/52779. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 2577/52797. ------ 1. ==[ start ]==> ((a b)(a (^a.(a a)))) 2. ==[ alpha ]==> ((a b)(a (^x.(x x)))) REDUCED to normal form. ------ 2578/52815. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 2579/52842. ------ 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. ------ 2580/52851. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 2581/52869. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 2582/52878. ------ 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)) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 2583/52896. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a) a)) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 2584/52923. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y)) b)) REDUCED to normal form. ------ 2585/52941. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 2586/52968. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 2587/52977. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 2588/52995. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 2589/53013. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 2590/53031. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a) 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. ------ 2591/53040. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.a))) REDUCED to normal form. ------ 2592/53067. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 2593/53076. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b b)) 3. ==[ beta ]==> ((^y.a)(b b)) 4. ==[ alpha ]==> ((^x.a)(b b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2594/53112. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y)) a)) REDUCED to normal form. ------ 2595/53139. ------ 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. ------ 2596/53157. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(a (a (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)(a (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)(a (a (^y.y)))) 5. ==[ beta ]==> (a (a (a (^y.y)))) 6. ==[ alpha ]==> (a (a (a (^x.x)))) REDUCED to normal form. ------ 2597/53166. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 2598/53184. ------ 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)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 2599/53193. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a) 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. ------ 2600/53220. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((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. ------ 2601/53238. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a b)) 2. ==[ alpha ]==> ((a (^x.(x x)))(a b)) REDUCED to normal form. ------ 2602/53256. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(^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))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 2603/53283. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 2604/53300. ------ 1. ==[ start ]==> (^a.((^b.a) b)) 2. ==[ alpha ]==> (^x.((^y.x) b)) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 2605/53301. ------ 1. ==[ start ]==> (a ((^b.a) b)) 2. ==[ alpha ]==> (a ((^x.a) b)) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 2606/53799. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2607/53871. ------ 1. ==[ start ]==> ((^a.a)((^b.a) b)) 2. ==[ alpha ]==> ((^x.x)((^y.a) b)) 3. ==[ beta ]==> ((^y.a) b) 4. ==[ alpha ]==> ((^x.a) b) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2608/53937. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 2609/53961. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.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. ------ 2610/54006. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> (((a a)(^z.a))(^y.y)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 2611/54018. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 2612/54099. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 2613/54108. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 2614/54123. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (^z.z))) 3. ==[ beta ]==> (^y.(c (^z.z))) 4. ==[ alpha ]==> (^x.(c (^y.y))) REDUCED to normal form. ------ 2615/54162. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(a (^a.a)))) 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))) REDUCED to normal form. ------ 2616/54171. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.c)) REDUCED to normal form. ------ 2617/54195. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))(^x1.x1))) 3. ==[ eta ]==> ((^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. ------ 2618/54234. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(a (^a.a)))) 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))) REDUCED to normal form. ------ 2619/54243. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.c)) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.c)) REDUCED to normal form. ------ 2620/54288. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 2621/54297. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 2622/54366. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2623/54369. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 2624/54414. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.a)) REDUCED to normal form. ------ 2625/54444. ------ 1. ==[ start ]==> ((a a)((^b.a) b)) 2. ==[ alpha ]==> ((a a)((^x.a) b)) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 2626/54462. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (a ((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (a ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 2627/54480. ------ 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. ------ 2628/54489. ------ 1. ==[ start ]==> (((a a) a)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)((a a)((^x.x) a))) 3. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 2629/54507. ------ 1. ==[ start ]==> (((^a.a)(a a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(a (^y.(y y)))) 3. ==[ beta ]==> ((a a)(a (^y.(y y)))) 4. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 2630/54534. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 2631/54543. ------ 1. ==[ start ]==> (((^a.a) b)(c b)) 2. ==[ alpha ]==> (((^x.x) b)(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 2632/54552. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 2633/54570. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b c)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 2634/54579. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 2635/54588. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^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. ------ 2636/54615. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.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. ------ 2637/54642. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^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. ------ 2638/54651. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 2639/54669. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 2640/54678. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 2641/54696. ------ 1. ==[ start ]==> ((a (^b.a))(c (^a.a))) 2. ==[ alpha ]==> ((a (^x.a))(c (^y.y))) REDUCED to normal form. ------ 2642/54714. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 2643/54732. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)(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. ------ 2644/54768. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))(^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))) REDUCED to normal form. ------ 2645/54777. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2646/54804. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)(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. ------ 2647/54813. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a c)) 2. ==[ alpha ]==> (((a (^x.x)) b)(a c)) REDUCED to normal form. ------ 2648/54840. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (a a))) 3. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 2649/54858. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 2650/54867. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (a (^y.y)))) REDUCED to normal form. ------ 2651/54885. ------ 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)(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 2652/54894. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 2653/54921. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b a)) 3. ==[ beta ]==> ((a (^y.y))(b a)) 4. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 2654/54939. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a a))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 2655/54957. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a a) a)) 3. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 2656/54984. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 2657/55010. ------ 1. ==[ start ]==> (^a.(((^a.a) a)(a a))) 2. ==[ alpha ]==> (^x.(((^y.y) x)(x x))) 3. ==[ beta ]==> (^x.(x (x x))) REDUCED to normal form. ------ 2658/55011. ------ 1. ==[ start ]==> (a (((^a.a) a)(a a))) 2. ==[ alpha ]==> (a (((^x.x) a)(a a))) 3. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 2659/55068. ------ 1. ==[ start ]==> ((^a.b)(^c.((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)(^y.((^z.z) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2660/55584. ------ 1. ==[ start ]==> ((((^a.a) a)(a a)) a) 2. ==[ alpha ]==> ((((^x.x) a)(a a)) a) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 2661/55590. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a a))) 3. ==[ beta ]==> (((^y.y) a)(a a)) 4. ==[ alpha ]==> (((^x.x) a)(a a)) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 2662/55599. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2663/55617. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^z.z)))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 2664/55644. ------ 1. ==[ start ]==> ((^a.b)((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((a a)((^y.y) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2665/55647. ------ 1. ==[ start ]==> ((a b)(^c.((^a.a) a))) 2. ==[ alpha ]==> ((a b)(^x.((^y.y) a))) 3. ==[ beta ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 2666/55665. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 2667/55680. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2668/55725. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b c)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b c)) 3. ==[ beta ]==> ((b c)(^y.y)) 4. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 2669/55746. ------ 1. ==[ start ]==> (((a a) b)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)(^x.((^y.y) a))) 3. ==[ beta ]==> (((a a) b)(^x.a)) REDUCED to normal form. ------ 2670/55827. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.a))) REDUCED to normal form. ------ 2671/55842. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a) a)) 3. ==[ beta ]==> (^y.((^z.a) a)) 4. ==[ alpha ]==> (^x.((^y.a) a)) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 2672/55962. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a (^z.z)))) REDUCED to normal form. ------ 2673/56016. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 2674/56070. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 2675/56085. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)(^z.z))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2676/56106. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.b)) 3. ==[ beta ]==> (((a a) a)(^y.b)) 4. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 2677/56133. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z z))) REDUCED to normal form. ------ 2678/56160. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.y)) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 2679/56172. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)(a a))) 3. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 2680/56181. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.a) b)) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 2681/56199. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 2682/56217. ------ 1. ==[ start ]==> (((a a) a)(b (^b.a))) 2. ==[ alpha ]==> (((a a) a)(b (^x.a))) REDUCED to normal form. ------ 2683/56226. ------ 1. ==[ start ]==> ((a b)((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a b)((a a)((^x.x) a))) 3. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 2684/56244. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 2685/56262. ------ 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. ------ 2686/56271. ------ 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))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 2687/56298. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 2688/56307. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b c)) 2. ==[ alpha ]==> ((a (a (^x.x)))(b c)) REDUCED to normal form. ------ 2689/56316. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^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 ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2690/56325. ------ 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)((^y.y) a)) 4. ==[ alpha ]==> (((a a) b)((^x.x) a)) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 2691/56343. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^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. ------ 2692/56352. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 2693/56370. ------ 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)) REDUCED to normal form. ------ 2694/56379. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 2695/56406. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a)(^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. ------ 2696/56424. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a) a)) 2. ==[ alpha ]==> ((a (^x.a))((^y.a) a)) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 2697/56442. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 2698/56460. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (^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. ------ 2699/56469. ------ 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. ------ 2700/56505. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2701/56532. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 2702/56541. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 2703/56568. ------ 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 2704/56586. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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. ------ 2705/56595. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 2706/56613. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2707/56622. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.x1))) REDUCED to normal form. ------ 2708/56649. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 2709/56667. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 2710/56685. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a b)) 3. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 2711/56712. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 2712/56739. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(a a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(a a)) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 2713/57003. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.(^y.x))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.x))(^z.z)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2714/57075. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.z))) 3. ==[ eta ]==> ((^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. ------ 2715/57321. ------ 1. ==[ start ]==> ((((^a.a) a)(a a)) b) 2. ==[ alpha ]==> ((((^x.x) a)(a a)) b) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 2716/57345. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^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. ------ 2717/57390. ------ 1. ==[ start ]==> ((^a.b)(b (^b.a))) 2. ==[ alpha ]==> ((^x.b)(b (^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2718/57471. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^z.(^x1.x1))(a (^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2719/57492. ------ 1. ==[ start ]==> (((a a) b)(^c.(^b.a))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.a))) REDUCED to normal form. ------ 2720/57588. ------ 1. ==[ start ]==> ((^a.(^b.a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(a ((^z.z) a))) 3. ==[ beta ]==> (^y.(a ((^z.z) a))) 4. ==[ alpha ]==> (^x.(a ((^y.y) a))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 2721/57591. ------ 1. ==[ start ]==> ((a (^b.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 2722/57660. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (^z.a))) 3. ==[ eta ]==> ((^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. ------ 2723/57663. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.y))) 3. ==[ beta ]==> ((a a)(^y.(^z.y))) 4. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 2724/57708. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 2725/57762. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.b)) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.b)) REDUCED to normal form. ------ 2726/57780. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.(a (^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. ------ 2727/57816. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.z)) 3. ==[ beta ]==> ((a (^y.y))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 2728/57831. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2729/57852. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(a a))) 3. ==[ beta ]==> (((a a) a)(^y.(a a))) 4. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 2730/57879. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 2731/57906. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 2732/57936. ------ 1. ==[ start ]==> ((a (^a.a))(((^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. ------ 2733/57945. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a) b)) 2. ==[ alpha ]==> (((^x.x) a)((^y.a) b)) 3. ==[ beta ]==> (a ((^y.a) b)) 4. ==[ alpha ]==> (a ((^x.a) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 2734/57963. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 2735/57981. ------ 1. ==[ start ]==> ((a b)(b (^b.a))) 2. ==[ alpha ]==> ((a b)(b (^x.a))) REDUCED to normal form. ------ 2736/57990. ------ 1. ==[ start ]==> (((^a.a)(a a))((a a)((^a.a) 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. ------ 2737/58026. ------ 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))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 2738/58035. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(a a))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 2739/58053. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 2740/58062. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^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. ------ 2741/58071. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 2742/58080. ------ 1. ==[ start ]==> (((a a) b)((a a)(^b.a))) 2. ==[ alpha ]==> (((a a) b)((a a)(^x.a))) REDUCED to normal form. ------ 2743/58107. ------ 1. ==[ start ]==> (((a (^a.a)) 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. ------ 2744/58134. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 2745/58152. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(b (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 2746/58179. ------ 1. ==[ start ]==> ((a (^b.a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))(a ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 2747/58215. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2748/58224. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 2749/58251. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.a))) 3. ==[ beta ]==> ((a a)(a (^y.a))) 4. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 2750/58260. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c a)) 3. ==[ beta ]==> ((^y.a)(c a)) 4. ==[ alpha ]==> ((^x.a)(c a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2751/58287. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 2752/58296. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 2753/58323. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y)) a)) 3. ==[ beta ]==> ((a a)((a (^y.y)) a)) 4. ==[ alpha ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 2754/58341. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (a a))) 3. ==[ beta ]==> (((^y.y) a)(b (a a))) 4. ==[ alpha ]==> (((^x.x) a)(b (a a))) 5. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 2755/58350. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((a a) b)) REDUCED to normal form. ------ 2756/58368. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 2757/58377. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 2758/58404. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 2759/58422. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b a)) 2. ==[ alpha ]==> ((a (^x.(x x)))(b a)) REDUCED to normal form. ------ 2760/58440. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 2761/58467. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 2762/58494. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(a (^a.a))) 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. ------ 2763/58511. ------ 1. ==[ start ]==> (^a.((^a.(a a)) a)) 2. ==[ alpha ]==> (^x.((^y.(y y)) x)) 3. ==[ eta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2764/58512. ------ 1. ==[ start ]==> (a ((^a.(a a)) a)) 2. ==[ alpha ]==> (a ((^x.(x x)) a)) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 2765/58605. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2766/58767. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.a))) 4. ==[ alpha ]==> (^x.(^y.(^z.a))) REDUCED to normal form. ------ 2767/58839. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.c)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.c)) 3. ==[ eta ]==> ((^y.y)(^z.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 2768/59010. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2769/59103. ------ 1. ==[ start ]==> (((^a.(a a)) a) a) 2. ==[ alpha ]==> (((^x.(x x)) a) a) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 2770/59109. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 3. ==[ beta ]==> ((^y.(y y)) a) 4. ==[ alpha ]==> ((^x.(x x)) a) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 2771/59136. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(x x))((^y.a) b)) 3. ==[ beta ]==> (((^y.a) b)((^y.a) b)) 4. ==[ alpha ]==> (((^x.a) b)((^y.a) b)) 5. ==[ beta ]==> (a ((^y.a) b)) 6. ==[ alpha ]==> (a ((^x.a) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 2772/59163. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2773/59199. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2774/59202. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 2775/59244. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^z.z))(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 2776/59283. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^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 ]==> (^x.a) REDUCED to normal form. ------ 2777/59361. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(^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. ------ 2778/59364. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 2779/59436. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.c)) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.c)) 3. ==[ beta ]==> ((a a)(^y.c)) 4. ==[ alpha ]==> ((a a)(^x.c)) REDUCED to normal form. ------ 2780/59445. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2781/59553. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 2782/59562. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) REDUCED to normal form. ------ 2783/59604. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2784/59607. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 2785/59679. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.a)) 3. ==[ beta ]==> ((a (a a))(^y.a)) 4. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 2786/59697. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.a)) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.y)) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 2787/59702. ------ 1. ==[ start ]==> (^a.(^a.(a (a a)))) 2. ==[ alpha ]==> (^x.(^y.(y (y y)))) REDUCED to normal form. ------ 2788/59703. ------ 1. ==[ start ]==> (a (^a.(a (a a)))) 2. ==[ alpha ]==> (a (^x.(x (x x)))) REDUCED to normal form. ------ 2789/59709. ------ 1. ==[ start ]==> ((a a)((^a.(a a)) a)) 2. ==[ alpha ]==> ((a a)((^x.(x x)) a)) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 2790/59727. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) 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))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 2791/59736. ------ 1. ==[ start ]==> ((a (a a))((^b.a) b)) 2. ==[ alpha ]==> ((a (a a))((^x.a) b)) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 2792/59754. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 2793/59763. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((a b)((^x.(^y.y)) c)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 2794/59772. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (^y.a))) 3. ==[ beta ]==> ((a a)(b (^y.a))) 4. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 2795/59781. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 2796/59799. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 2797/59817. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) 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. ------ 2798/59844. ------ 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. ------ 2799/59853. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2800/59862. ------ 1. ==[ start ]==> (((a a) b)(b c)) REDUCED to normal form. ------ 2801/59880. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 2802/59907. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^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. ------ 2803/59934. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 2804/59943. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (a (^z.z)))) REDUCED to normal form. ------ 2805/59961. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(^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. ------ 2806/59979. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a) a)) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 2807/59997. ------ 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)((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. ------ 2808/60006. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 2809/60042. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a (^z.a))) 3. ==[ beta ]==> ((^y.a)(a (^z.a))) 4. ==[ alpha ]==> ((^x.a)(a (^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2810/60069. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2811/60078. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b b)) 2. ==[ alpha ]==> (((a (^x.x)) b)(b b)) REDUCED to normal form. ------ 2812/60123. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 2813/60132. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (a a))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (a a))) REDUCED to normal form. ------ 2814/60150. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2815/60159. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (a (^x1.x1)))) REDUCED to normal form. ------ 2816/60186. ------ 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. ------ 2817/60204. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 2818/60222. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(^y.y))) 3. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 4. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 2819/60249. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 2820/60276. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y) a)) 3. ==[ beta ]==> ((a (a a))((^y.y) a)) 4. ==[ alpha ]==> ((a (a a))((^x.x) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 2821/60294. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a a)) 2. ==[ alpha ]==> (((^x.(x x)) a)(a a)) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 2822/60300. ------ 1. ==[ start ]==> ((^a.(a (a a))) a) 2. ==[ alpha ]==> ((^x.(x (x x))) a) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 2823/60302. ------ 1. ==[ start ]==> (^a.(a (a (a a)))) 2. ==[ alpha ]==> (^x.(x (x (x x)))) REDUCED to normal form. ------ 2824/60303. ------ 1. ==[ start ]==> (a (a (a (a a)))) REDUCED to normal form. ------ 2825/60306. ------ 1. ==[ start ]==> ((^a.a)(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 3. ==[ beta ]==> (^y.(y (y y))) 4. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 2826/60558. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.c)) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.z)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2827/60801. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.z)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2828/60894. ------ 1. ==[ start ]==> (((^a.(a a)) a) b) 2. ==[ alpha ]==> (((^x.(x x)) a) b) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 2829/60900. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.a)) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.y)) 3. ==[ beta ]==> ((^y.y)((^y.y)(^y.y))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2830/60903. ------ 1. ==[ start ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 2831/60909. ------ 1. ==[ start ]==> ((^a.a)(a (a (a a)))) 2. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 3. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 2832/60912. ------ 1. ==[ start ]==> ((a a)(^a.(a (a a)))) 2. ==[ alpha ]==> ((a a)(^x.(x (x x)))) REDUCED to normal form. ------ 2833/60918. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2834/60936. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((((^y.y) a)(a a))(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(a a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 2835/60963. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2836/61011. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 2837/61092. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^y.a)) REDUCED to normal form. ------ 2838/61161. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((a a) c)) 3. ==[ beta ]==> (^y.((a a) c)) 4. ==[ alpha ]==> (^x.((a a) c)) REDUCED to normal form. ------ 2839/61164. ------ 1. ==[ start ]==> ((a (^b.a))(^c.c)) 2. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 2840/61182. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.((^a.a) a))) 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. ------ 2841/61233. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(a (^z.z)))) 3. ==[ eta ]==> ((^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. ------ 2842/61245. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.c)) 3. ==[ beta ]==> ((^y.a)(^z.c)) 4. ==[ alpha ]==> ((^x.a)(^y.c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2843/61308. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(a (^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 2844/61362. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 2845/61404. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2846/61407. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.b)) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 2847/61452. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.b)) REDUCED to normal form. ------ 2848/61479. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(y y))) 3. ==[ beta ]==> ((a (a a))(^y.(y y))) 4. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 2849/61497. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 2850/61503. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a a)) 2. ==[ alpha ]==> ((^x.(x (x x)))(a a)) 3. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 2851/61506. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.a)) 2. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 2852/61511. ------ 1. ==[ start ]==> (^a.(^b.(^a.(a a)))) 2. ==[ alpha ]==> (^x.(^y.(^z.(z z)))) REDUCED to normal form. ------ 2853/61512. ------ 1. ==[ start ]==> (a (^b.(^a.(a a)))) 2. ==[ alpha ]==> (a (^x.(^y.(y y)))) REDUCED to normal form. ------ 2854/61518. ------ 1. ==[ start ]==> ((a a)(a (a (a a)))) REDUCED to normal form. ------ 2855/61527. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) a)) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 2856/61545. ------ 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. ------ 2857/61554. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) b)) 3. ==[ beta ]==> ((^y.y)((^z.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 2858/61572. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 2859/61590. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 2860/61617. ------ 1. ==[ start ]==> (((^a.a) b)(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(a (^y.(y y)))) 3. ==[ beta ]==> (b (a (^y.(y y)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 2861/61644. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 2862/61662. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2863/61671. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 2864/61689. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)(^b.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. ------ 2865/61698. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)((^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. ------ 2866/61716. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^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. ------ 2867/61725. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 2868/61743. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.z)) b)) 3. ==[ beta ]==> ((^y.y)((a (^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 2869/61752. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 2870/61770. ------ 1. ==[ start ]==> ((a (^b.a))((a a) c)) 2. ==[ alpha ]==> ((a (^x.a))((a a) c)) REDUCED to normal form. ------ 2871/61788. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 2872/61806. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (^a.a))) 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. ------ 2873/61815. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(a a))) REDUCED to normal form. ------ 2874/61842. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)(a (^a.a)))) 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. ------ 2875/61851. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a) 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. ------ 2876/61878. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))(^a.a))) 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. ------ 2877/61887. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 2878/61914. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 2879/61932. ------ 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. ------ 2880/61941. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 2881/61959. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a) b)) 3. ==[ beta ]==> ((^y.y)((a a) b)) 4. ==[ alpha ]==> ((^x.x)((a a) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 2882/61968. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 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. ------ 2883/61995. ------ 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))) REDUCED to normal form. ------ 2884/62013. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) b)) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 2885/62031. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b a)) 3. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 2886/62058. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a b)) REDUCED to normal form. ------ 2887/62085. ------ 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. ------ 2888/62103. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a (^y.y))) 3. ==[ beta ]==> ((a a)(a (^y.y))) 4. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 2889/62109. ------ 1. ==[ start ]==> ((^a.(a (a a))) b) 2. ==[ alpha ]==> ((^x.(x (x x))) b) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 2890/62112. ------ 1. ==[ start ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 2891/62120. ------ 1. ==[ start ]==> (^a.((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (^x.((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (^x.(^z.(z z))) 4. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 2892/62121. ------ 1. ==[ start ]==> (a ((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (a ((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (a (^y.(y y))) 4. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 2893/62124. ------ 1. ==[ start ]==> ((^a.a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 3. ==[ beta ]==> (^y.(^z.(z z))) 4. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 2894/62133. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2895/62718. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.z))) 3. ==[ beta ]==> ((^y.(^z.z))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2896/62721. ------ 1. ==[ start ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 2897/62730. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a))) a) 2. ==[ alpha ]==> (((^x.x)(^y.(y y))) a) 3. ==[ beta ]==> ((^y.(y y)) a) 4. ==[ alpha ]==> ((^x.(x x)) a) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 2898/62736. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(^z.(z z))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2899/62739. ------ 1. ==[ start ]==> ((a a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 2900/62745. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2901/62748. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 2902/62790. ------ 1. ==[ start ]==> ((^a.b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(c (^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2903/62826. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2904/62847. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 2905/62871. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (((^z.a)(a a))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(a a))(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 2906/62988. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (a (^z.z)))) 3. ==[ beta ]==> (^y.(b (a (^z.z)))) 4. ==[ alpha ]==> (^x.(b (a (^y.y)))) REDUCED to normal form. ------ 2907/63009. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 2908/63060. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (^z.(^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 2909/63072. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(a (^a.a)))) 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. ------ 2910/63231. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2911/63252. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 2912/63279. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(a a))) REDUCED to normal form. ------ 2913/63306. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 2914/63324. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.a)) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.a)) 3. ==[ beta ]==> ((a a)(^y.a)) 4. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 2915/63330. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (^y.y))) 3. ==[ beta ]==> ((a (^y.y))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 2916/63333. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 2917/63342. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.z)) 3. ==[ beta ]==> ((^y.(y y))(^z.z)) 4. ==[ alpha ]==> ((^x.(x x))(^y.y)) 5. ==[ beta ]==> ((^y.y)(^y.y)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2918/63354. ------ 1. ==[ start ]==> ((a a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((a a)(^y.(y y))) 4. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 2919/63363. ------ 1. ==[ start ]==> ((a (^a.a))(a (a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(a (a (a a)))) REDUCED to normal form. ------ 2920/63372. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y)) a)) 3. ==[ beta ]==> (a ((^y.(y y)) a)) 4. ==[ alpha ]==> (a ((^x.(x x)) a)) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 2921/63390. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^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. ------ 2922/63399. ------ 1. ==[ start ]==> (((a a) a)((^b.a) b)) 2. ==[ alpha ]==> (((a a) a)((^x.a) b)) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 2923/63408. ------ 1. ==[ start ]==> ((a b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 2924/63417. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 2925/63444. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 2926/63462. ------ 1. ==[ start ]==> (((a a)(a a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(a (^x.(x x)))) REDUCED to normal form. ------ 2927/63480. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) 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. ------ 2928/63489. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(a a))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 2929/63507. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 2930/63525. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 2931/63534. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.a))) REDUCED to normal form. ------ 2932/63561. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 2933/63588. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z)) b)) REDUCED to normal form. ------ 2934/63606. ------ 1. ==[ start ]==> ((a (^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(b (a (^y.y)))) REDUCED to normal form. ------ 2935/63624. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 2936/63642. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 2937/63678. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 2938/63687. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(a (^a.a)))) 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 REDUCED to normal form. ------ 2939/63723. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.z))) REDUCED to normal form. ------ 2940/63750. ------ 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. ------ 2941/63777. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y)) a)) REDUCED to normal form. ------ 2942/63795. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 2943/63804. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a) b)) REDUCED to normal form. ------ 2944/63831. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^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. ------ 2945/63849. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 2946/63867. ------ 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. ------ 2947/63894. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 2948/63921. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 2949/63939. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y) a)) 3. ==[ beta ]==> ((a a)((^y.y) a)) 4. ==[ alpha ]==> ((a a)((^x.x) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 2950/63948. ------ 1. ==[ start ]==> ((a (a (a a)))(a (^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))(a (^x.x))) REDUCED to normal form. ------ 2951/63957. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a a)) 3. ==[ beta ]==> ((^y.(y y))(a a)) 4. ==[ alpha ]==> ((^x.(x x))(a a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 2952/63978. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2953/64563. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.a)) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.a)) 3. ==[ beta ]==> ((^y.a)((^y.a)(^y.a))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2954/64575. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a))) b) 2. ==[ alpha ]==> (((^x.x)(^y.(y y))) b) 3. ==[ beta ]==> ((^y.(y y)) b) 4. ==[ alpha ]==> ((^x.(x x)) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 2955/64599. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2956/64602. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 2957/64611. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(y (y y)))) 3. ==[ beta ]==> (a (^y.(y (y y)))) 4. ==[ alpha ]==> (a (^x.(x (x x)))) REDUCED to normal form. ------ 2958/64617. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y)) a)) 3. ==[ beta ]==> (((^y.(y y)) a)((^y.(y y)) a)) 4. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y)) a)) 5. ==[ beta ]==> ((a a)((^y.(y y)) a)) 6. ==[ alpha ]==> ((a a)((^x.(x x)) a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 2959/64644. ------ 1. ==[ start ]==> ((^a.b)((^b.a) b)) 2. ==[ alpha ]==> ((^x.b)((^y.a) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 2960/64680. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2961/64692. ------ 1. ==[ start ]==> (((^a.a) b)(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 2962/64725. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) 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. ------ 2963/64791. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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. ------ 2964/64842. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 2965/64881. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(^y.y)) b)(^x1.x1)) 4. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2966/64914. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1)) b)) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2967/64953. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 2968/65007. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 2969/65016. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.c)) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.c)) REDUCED to normal form. ------ 2970/65070. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^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. ------ 2971/65085. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (^z.z))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 2972/65106. ------ 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. ------ 2973/65178. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(y y))) 3. ==[ beta ]==> ((a a)(^y.(y y))) 4. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 2974/65184. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y) a)) 3. ==[ beta ]==> (((^y.y) a)(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (a (((^y.y) a)((^z.z) a))) 6. ==[ alpha ]==> (a (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (a (a ((^y.y) a))) 8. ==[ alpha ]==> (a (a ((^x.x) a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 2975/65187. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.a)) 2. ==[ alpha ]==> ((a (a (a a)))(^x.a)) REDUCED to normal form. ------ 2976/65196. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 5. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 2977/65226. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(z z))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 2978/65235. ------ 1. ==[ start ]==> (((^a.a) a)(a (a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)(a (a (a a)))) 3. ==[ beta ]==> (a (a (a (a a)))) REDUCED to normal form. ------ 2979/65244. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (a a))((^x.(x x)) a)) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 2980/65262. ------ 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. ------ 2981/65271. ------ 1. ==[ start ]==> ((a b)((^b.a) b)) 2. ==[ alpha ]==> ((a b)((^x.a) b)) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 2982/65289. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 2983/65307. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 2984/65316. ------ 1. ==[ start ]==> (((^a.a) b)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)((a a)((^y.y) a))) 3. ==[ beta ]==> (b ((a a)((^y.y) a))) 4. ==[ alpha ]==> (b ((a a)((^x.x) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 2985/65352. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 2986/65361. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.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. ------ 2987/65370. ------ 1. ==[ start ]==> (((a a) b)(c b)) REDUCED to normal form. ------ 2988/65388. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^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. ------ 2989/65397. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b c)) 2. ==[ alpha ]==> (((a (^x.x)) a)(b c)) REDUCED to normal form. ------ 2990/65415. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^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. ------ 2991/65442. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(^a.a))) 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. ------ 2992/65469. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 2993/65505. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(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. ------ 2994/65514. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a) a)) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 2995/65541. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 2996/65550. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(b (^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 2997/65577. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.a))) 3. ==[ beta ]==> ((^y.y)(a (^y1.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 2998/65586. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c a)) 2. ==[ alpha ]==> (((a (^x.x)) b)(c a)) REDUCED to normal form. ------ 2999/65613. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b b)) 2. ==[ alpha ]==> ((((^x.x) a) a)(b b)) 3. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 3000/65631. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (a ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 3001/65640. ------ 1. ==[ start ]==> (((a a)(^b.a))(a c)) 2. ==[ alpha ]==> (((a a)(^x.a))(a c)) REDUCED to normal form. ------ 3002/65658. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3003/65667. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (a a))) REDUCED to normal form. ------ 3004/65694. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(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. ------ 3005/65712. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 3006/65730. ------ 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. ------ 3007/65757. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 3008/65784. ------ 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. ------ 3009/65802. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a (a a))) 3. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 3010/65811. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a) a)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x) a)) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 3011/65820. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (^z.z))) 3. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 4. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 5. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 3012/65837. ------ 1. ==[ start ]==> (^a.(b ((^a.a) a))) 2. ==[ alpha ]==> (^x.(b ((^y.y) x))) 3. ==[ beta ]==> (^x.(b x)) 4. ==[ eta ]==> b REDUCED to normal form. ------ 3013/65838. ------ 1. ==[ start ]==> (a (b ((^a.a) a))) 2. ==[ alpha ]==> (a (b ((^x.x) a))) 3. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 3014/65868. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(y (y y)))) 3. ==[ beta ]==> ((^y.(y (y y)))(^y.(y (y y)))) 4. ==[ alpha ]==> ((^x.(x (x x)))(^y.(y (y y)))) 5. ==[ beta ]==> ((^y.(y (y y)))((^y.(y (y y)))(^y.(y (y y))))) 6. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y (y y)))(^z.(z (z z))))) 7. ==[ beta ]==> (((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^y.(y (y y)))(^z.(z (z z)))))) 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)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3)))))) 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))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3)))))) 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))))((^x3.(x3 (x3 x3)))(^y3.(y3 (y3 y3)))))) 15. ==[ beta ]==> (((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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)))))) 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))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4)))))) 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))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4)))))) 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))))))(((^z3.(z3 (z3 z3)))(^x4.(x4 (x4 x4))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4)))))) 19. ==[ beta ]==> ((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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)))))) 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))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5)))))) 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))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5)))))) 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))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4))))))(((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6)))))) 23. ==[ beta ]==> (((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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)))))) 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))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7)))))) 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))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7)))))) 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))))))(((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7)))))) 27. ==[ beta ]==> ((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7)))))) 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))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8)))))) 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))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8)))))) 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))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8)))))) 31. ==[ beta ]==> (((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8)))))) 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))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))(((^z8.(z8 (z8 z8)))(^x9.(x9 (x9 x9))))((^y9.(y9 (y9 y9)))(^z9.(z9 (z9 z9)))))) 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))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))(((^z8.(z8 (z8 z8)))(^x9.(x9 (x9 x9))))((^y9.(y9 (y9 y9)))(^z9.(z9 (z9 z9)))))) 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))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8))))))(((^x9.(x9 (x9 x9)))(^y9.(y9 (y9 y9))))((^z9.(z9 (z9 z9)))(^x10.(x10 (x10 x10)))))) 35. ==[ beta ]==> ((((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8))))))(((^x9.(x9 (x9 x9)))(^y9.(y9 (y9 y9))))((^z9.(z9 (z9 z9)))(^x10.(x10 (x10 x10)))))) UNREDUCED: maximal number of reductions reached. ------ 3015/66435. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(y y))) 3. ==[ beta ]==> ((^y.(y y))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (((^y.(y y))(^z.(z z)))((^y.(y y))(^z.(z z)))) 6. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 3016/66471. ------ 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)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 3017/66492. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(z z)))) 3. ==[ beta ]==> (a (^y.(^z.(z z)))) 4. ==[ alpha ]==> (a (^x.(^y.(y y)))) REDUCED to normal form. ------ 3018/66498. ------ 1. ==[ start ]==> ((^a.(a a))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))(a (a (a a)))) 3. ==[ beta ]==> ((a (a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 3019/66501. ------ 1. ==[ start ]==> ((a (a a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(x (x x)))) REDUCED to normal form. ------ 3020/66525. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3021/66600. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 3022/66681. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 3023/66723. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z)) b)) 3. ==[ beta ]==> (^y.((a (^z.z)) b)) 4. ==[ alpha ]==> (^x.((a (^y.y)) b)) REDUCED to normal form. ------ 3024/66762. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 3025/66771. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.((^a.a) a))) 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)) REDUCED to normal form. ------ 3026/66795. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))(a a))) 3. ==[ eta ]==> ((^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. ------ 3027/66834. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.c)) 3. ==[ beta ]==> ((^y.y)(^y1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 3028/66843. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.y))) REDUCED to normal form. ------ 3029/66897. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 3030/66951. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^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. ------ 3031/66966. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3032/67041. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.b)) 3. ==[ beta ]==> ((a (a a))(^y.b)) 4. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 3033/67059. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 3034/67065. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (a a))) 3. ==[ beta ]==> ((a (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 3035/67068. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(a a))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(x x))) REDUCED to normal form. ------ 3036/67077. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.a)) 3. ==[ beta ]==> ((^y.(y y))(^z.a)) 4. ==[ alpha ]==> ((^x.(x x))(^y.a)) 5. ==[ beta ]==> ((^y.a)(^y.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 3037/67107. ------ 1. ==[ start ]==> ((a a)(b ((^a.a) a))) 2. ==[ alpha ]==> ((a a)(b ((^x.x) a))) 3. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 3038/67125. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(^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)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 3039/67134. ------ 1. ==[ start ]==> ((a (a a))(a (a (a a)))) REDUCED to normal form. ------ 3040/67143. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 3041/67161. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)(a a))) 3. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 3042/67170. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a) b)) 3. ==[ beta ]==> ((a a)((^y.a) b)) 4. ==[ alpha ]==> ((a a)((^x.a) b)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 3043/67206. ------ 1. ==[ start ]==> (((^a.a) b)(b (^b.a))) 2. ==[ alpha ]==> (((^x.x) b)(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 3044/67215. ------ 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. ------ 3045/67233. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 3046/67251. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((^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. ------ 3047/67260. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(a a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(a a))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 3048/67278. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 3049/67287. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 3050/67305. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((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. ------ 3051/67314. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 3052/67332. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 3053/67341. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 3054/67359. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y)) b)) REDUCED to normal form. ------ 3055/67377. ------ 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. ------ 3056/67395. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)(^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. ------ 3057/67404. ------ 1. ==[ start ]==> (((a (^a.a))(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. ------ 3058/67431. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(a a))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 3059/67440. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3060/67476. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.a))) REDUCED to normal form. ------ 3061/67503. ------ 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3062/67521. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 3063/67530. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(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. ------ 3064/67548. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) 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. ------ 3065/67557. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 3066/67584. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 3067/67602. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 3068/67620. ------ 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. ------ 3069/67647. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b a)) REDUCED to normal form. ------ 3070/67674. ------ 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. ------ 3071/67692. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(^z.z))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3072/67701. ------ 1. ==[ start ]==> ((a (a (a a)))(a (a a))) REDUCED to normal form. ------ 3073/67710. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z) a)) 3. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 4. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 5. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 3074/67736. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.x))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3075/67737. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 3076/67767. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((^y.(^z.(z z)))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3077/67875. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^z.(^x1.(x1 x1)))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.z)) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3078/68235. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(a (^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. ------ 3079/68334. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.z))) 3. ==[ beta ]==> ((^y.(^z.z))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3080/68373. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a)) a) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a)) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3081/68379. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^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. ------ 3082/68388. ------ 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. ------ 3083/68406. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(z z)))) IRREDUCIBLE: cycle. ------ 3084/68409. ------ 1. ==[ start ]==> ((a (a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 3085/68418. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (z z)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 3086/68469. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3087/68514. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> ((a (^z.(z z)))(^y.y)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 3088/68517. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 3089/68631. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (a a))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (a a))) 3. ==[ beta ]==> (^y.(c (a a))) 4. ==[ alpha ]==> (^x.(c (a a))) REDUCED to normal form. ------ 3090/68670. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 3091/68679. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.a))) REDUCED to normal form. ------ 3092/68751. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.c)) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.c)) REDUCED to normal form. ------ 3093/68805. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 3094/68874. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (a (^z.z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3095/68877. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 3096/68922. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 3097/68949. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(a a))) 3. ==[ beta ]==> ((a (a a))(^y.(a a))) 4. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 3098/68973. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3099/68976. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 3100/68985. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(z z))) 3. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 5. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 3101/69012. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3102/69024. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3103/69033. ------ 1. ==[ start ]==> ((a (^a.a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 3104/69051. ------ 1. ==[ start ]==> ((a (a a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))(^y.(y y))) 4. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 3105/69060. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (a (a a)))) 3. ==[ beta ]==> ((^y.y)(a (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 3106/69069. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a) a)((^x.(x x)) a)) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 3107/69087. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(a a))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 3108/69096. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a) b)) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 3109/69114. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 3110/69123. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> (b ((^y.(^z.z)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 3111/69132. ------ 1. ==[ start ]==> (((a a)(a a))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(a a))(b (^x.a))) REDUCED to normal form. ------ 3112/69159. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 3113/69177. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) 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. ------ 3114/69204. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 3115/69222. ------ 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)) REDUCED to normal form. ------ 3116/69231. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 3117/69258. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^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. ------ 3118/69276. ------ 1. ==[ start ]==> ((a (^b.a))(c (a a))) 2. ==[ alpha ]==> ((a (^x.a))(c (a a))) REDUCED to normal form. ------ 3119/69294. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 3120/69312. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a) c)) 3. ==[ beta ]==> ((^y.y)((a a) c)) 4. ==[ alpha ]==> ((^x.x)((a a) c)) 5. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 3121/69321. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)(^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. ------ 3122/69357. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(a a))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(a a))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3123/69384. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 3124/69393. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) c)) 3. ==[ beta ]==> (((a (^x.x)) b) c) REDUCED to normal form. ------ 3125/69420. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 3126/69438. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b b)) 3. ==[ beta ]==> (((^y.y) a)(b b)) 4. ==[ alpha ]==> (((^x.x) a)(b b)) 5. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 3127/69447. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 3128/69474. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1)) a)) REDUCED to normal form. ------ 3129/69501. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((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. ------ 3130/69519. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (a (^y.y)))) REDUCED to normal form. ------ 3131/69537. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.y))) 3. ==[ beta ]==> (((a a) a)(b (^y.y))) 4. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 3132/69564. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 3133/69591. ------ 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. ------ 3134/69609. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((a a) a)) 3. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 3135/69618. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)(^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. ------ 3136/69627. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (a a))) 3. ==[ beta ]==> ((^y.(y y))(a (a a))) 4. ==[ alpha ]==> ((^x.(x x))(a (a a))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 3137/69654. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 3138/70161. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3139/70299. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a)) b) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a)) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 3140/70323. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3141/70353. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 3142/70362. ------ 1. ==[ start ]==> (((a a) a)(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(x (x x)))) REDUCED to normal form. ------ 3143/70368. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.b)((^y.(y y)) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3144/70461. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3145/70542. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 3146/70566. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)(^a.a))) 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. ------ 3147/70638. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a) a)) 3. ==[ eta ]==> ((^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. ------ 3148/70686. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a (^z.z)))) REDUCED to normal form. ------ 3149/70758. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(a (^a.a)))) 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))) REDUCED to normal form. ------ 3150/70809. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3151/70812. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 3152/70857. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 3153/70902. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.b)) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.b)) 3. ==[ beta ]==> ((a a)(^y.b)) 4. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 3154/70908. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a) a)) 3. ==[ beta ]==> (((a a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 3155/70920. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 5. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3156/70947. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3157/70977. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 3158/70986. ------ 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))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 3159/71004. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3160/71013. ------ 1. ==[ start ]==> (((a a) a)(a (a (a a)))) REDUCED to normal form. ------ 3161/71022. ------ 1. ==[ start ]==> ((a b)((^a.(a a)) a)) 2. ==[ alpha ]==> ((a b)((^x.(x x)) a)) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 3162/71040. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 3163/71067. ------ 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. ------ 3164/71094. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 3165/71112. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3166/71139. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 3167/71166. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^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. ------ 3168/71175. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b c)) REDUCED to normal form. ------ 3169/71193. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 3170/71220. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 3171/71238. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 3172/71256. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(b (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 3173/71292. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a) a)) 3. ==[ beta ]==> ((a a)((^y.a) a)) 4. ==[ alpha ]==> ((a a)((^x.a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 3174/71301. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (^a.a))) 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. ------ 3175/71328. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 3176/71337. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(a (^y.y)))) REDUCED to normal form. ------ 3177/71382. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a a))) 5. ==[ beta ]==> (a ((^y.(^z.z))(a a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 3178/71391. ------ 1. ==[ start ]==> (((a a)(^b.a))(b b)) 2. ==[ alpha ]==> (((a a)(^x.a))(b b)) REDUCED to normal form. ------ 3179/71409. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)(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. ------ 3180/71445. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (a a))) 3. ==[ beta ]==> ((a (^y.y))(b (a a))) 4. ==[ alpha ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 3181/71463. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(^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. ------ 3182/71481. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 3183/71508. ------ 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. ------ 3184/71535. ------ 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. ------ 3185/71553. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a b)) 2. ==[ alpha ]==> (((^x.(x x)) a)(a b)) 3. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 3186/71562. ------ 1. ==[ start ]==> ((a (a (a a)))((a a) a)) REDUCED to normal form. ------ 3187/71571. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3188/71598. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 3189/71673. ------ 1. ==[ start ]==> ((^a.b)(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(y (y y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3190/71943. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^y.y)(^z.((^x1.x1) z))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) y))) 5. ==[ eta ]==> ((^x.x)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3191/72213. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.b)) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.b)) 3. ==[ beta ]==> ((^y.b)((^y.b)(^y.b))) 4. ==[ alpha ]==> ((^x.b)((^y.b)(^z.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 3192/72252. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a)) c) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a)) c) 3. ==[ beta ]==> ((^y.y) c) 4. ==[ alpha ]==> ((^x.x) c) 5. ==[ beta ]==> c REDUCED to normal form. ------ 3193/72303. ------ 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))) 5. ==[ beta ]==> ((b a)(b ((^y.y) a))) 6. ==[ alpha ]==> ((b a)(b ((^x.x) a))) 7. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 3194/72324. ------ 1. ==[ start ]==> (((a a) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 3195/72330. ------ 1. ==[ start ]==> ((^a.b)(a (a (a a)))) 2. ==[ alpha ]==> ((^x.b)(a (a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3196/72333. ------ 1. ==[ start ]==> ((a b)(^a.(a (a a)))) 2. ==[ alpha ]==> ((a b)(^x.(x (x x)))) REDUCED to normal form. ------ 3197/72366. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3198/72411. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a a)((^z.z) a))(^y.y)) 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. ------ 3199/72432. ------ 1. ==[ start ]==> (((a a) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 3200/72513. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^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. ------ 3201/72528. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a) a)) 3. ==[ beta ]==> (^y.(((^z.z) a) a)) 4. ==[ alpha ]==> (^x.(((^y.y) a) a)) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 3202/72600. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a ((^z.z) a))) 3. ==[ eta ]==> ((^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. ------ 3203/72603. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a ((^x.x) a))(^z.z)) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3204/72675. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.y))) 3. ==[ beta ]==> ((a a)(^y.(^z.y))) 4. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 3205/72729. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 3206/72771. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3207/72792. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.(a (^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. ------ 3208/72864. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(a a))) 3. ==[ beta ]==> ((a a)(^y.(a a))) 4. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 3209/72870. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a b)) 2. ==[ alpha ]==> ((^x.(x (x x)))(a b)) 3. ==[ beta ]==> ((a b)((a b)(a b))) REDUCED to normal form. ------ 3210/72873. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.b)) 2. ==[ alpha ]==> ((a (a (a a)))(^x.b)) REDUCED to normal form. ------ 3211/72909. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.a)) 3. ==[ beta ]==> ((^y.y)(^x1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 3212/72957. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 3213/72966. ------ 1. ==[ start ]==> ((a (a a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))(b ((^x.x) a))) 3. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 3214/72984. ------ 1. ==[ start ]==> (((a a) a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)(^y.(y y))) 4. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 3215/72993. ------ 1. ==[ start ]==> ((a b)(a (a (a a)))) REDUCED to normal form. ------ 3216/73002. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y)) a)) 3. ==[ beta ]==> ((a a)((^y.(y y)) a)) 4. ==[ alpha ]==> ((a a)((^x.(x x)) a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 3217/73029. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 3218/73038. ------ 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. ------ 3219/73047. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 3220/73065. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b (^z.a))) 3. ==[ beta ]==> ((^y.y)(b (^z.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 3221/73074. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)((^y.y) a))) 3. ==[ beta ]==> ((a (a (^x.x)))((a a) a)) REDUCED to normal form. ------ 3222/73092. ------ 1. ==[ start ]==> (((a a) b)(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)(a (^x.(x x)))) REDUCED to normal form. ------ 3223/73110. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) 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. ------ 3224/73119. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(a a))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 3225/73137. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 3226/73146. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 3227/73164. ------ 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)((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. ------ 3228/73173. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 3229/73191. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a) a)) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 3230/73227. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 3231/73236. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (a (^y.y)))) REDUCED to normal form. ------ 3232/73263. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a ((^y.y) a))) 3. ==[ beta ]==> ((a a)(a ((^y.y) a))) 4. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 3233/73272. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a) a)) 3. ==[ beta ]==> ((^y.a)((^z.a) a)) 4. ==[ alpha ]==> ((^x.a)((^y.a) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3234/73299. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3235/73308. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.(^z.z)))) REDUCED to normal form. ------ 3236/73335. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a (^y.a))) 3. ==[ beta ]==> ((a a)(a (^y.a))) 4. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 3237/73353. ------ 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. ------ 3238/73362. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 3239/73380. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 3240/73389. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(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. ------ 3241/73416. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^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. ------ 3242/73434. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a) b)) REDUCED to normal form. ------ 3243/73452. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a (a (^y.y)))) 3. ==[ beta ]==> (((a a) a)(a (a (^y.y)))) 4. ==[ alpha ]==> (((a a) a)(a (a (^x.x)))) REDUCED to normal form. ------ 3244/73479. ------ 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. ------ 3245/73506. ------ 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. ------ 3246/73524. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(a a))) 3. ==[ beta ]==> ((a a)((^y.y)(a a))) 4. ==[ alpha ]==> ((a a)((^x.x)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 3247/73533. ------ 1. ==[ start ]==> ((a (a (a a)))(a b)) REDUCED to normal form. ------ 3248/73542. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a) a)) 3. ==[ beta ]==> ((^y.(y y))((a a) a)) 4. ==[ alpha ]==> ((^x.(x x))((a a) a)) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 3249/73569. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 3250/73595. ------ 1. ==[ start ]==> (^a.((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.x)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 3251/73596. ------ 1. ==[ start ]==> (a ((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 3252/73653. ------ 1. ==[ start ]==> ((^a.b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(z z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3253/73923. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.a))) 3. ==[ eta ]==> ((^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. ------ 3254/74193. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(a a))) 3. ==[ beta ]==> ((^y.(a a))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 3255/74265. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3256/74292. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.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. ------ 3257/74319. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3258/74322. ------ 1. ==[ start ]==> ((a b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 3259/74331. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(y (y y)))) 3. ==[ beta ]==> ((a a)(^y.(y (y y)))) 4. ==[ alpha ]==> ((a a)(^x.(x (x x)))) REDUCED to normal form. ------ 3260/74355. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3261/74400. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (^z.a))) 3. ==[ beta ]==> ((b (^z.a))(^y.y)) 4. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 3262/74589. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)(^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. ------ 3263/74592. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.a))) 3. ==[ beta ]==> ((a a)(^y.(^z.a))) 4. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 3264/74601. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)(^y.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. ------ 3265/74664. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.c)) 3. ==[ beta ]==> ((a a)(^y.c)) 4. ==[ alpha ]==> ((a a)(^x.c)) REDUCED to normal form. ------ 3266/74760. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3267/74781. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 3268/74835. ------ 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. ------ 3269/74859. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(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. ------ 3270/74862. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(a a))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(a a))) REDUCED to normal form. ------ 3271/74871. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.b)) 3. ==[ beta ]==> ((^y.(y y))(^z.b)) 4. ==[ alpha ]==> ((^x.(x x))(^y.b)) 5. ==[ beta ]==> ((^y.b)(^y.b)) 6. ==[ alpha ]==> ((^x.b)(^y.b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 3272/74898. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(x1 x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3273/74937. ------ 1. ==[ start ]==> ((a a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 3274/74964. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 3275/74973. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 3276/74991. ------ 1. ==[ start ]==> ((a b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((a b)(^y.(y y))) 4. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 3277/75000. ------ 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. ------ 3278/75009. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 3279/75027. ------ 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. ------ 3280/75036. ------ 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)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 3281/75072. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 3282/75081. ------ 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 ]==> ((^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. ------ 3283/75117. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) 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. ------ 3284/75144. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 3285/75162. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 3286/75171. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.a))) REDUCED to normal form. ------ 3287/75207. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 3288/75225. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.z)) b)) 3. ==[ beta ]==> ((^y.y)((a (^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 3289/75234. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 3290/75261. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)(^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. ------ 3291/75270. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a ((^a.a) 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 REDUCED to normal form. ------ 3292/75297. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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)) REDUCED to normal form. ------ 3293/75306. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 3294/75360. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 3295/75378. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 3296/75387. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 3297/75414. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((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. ------ 3298/75432. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (a a))) REDUCED to normal form. ------ 3299/75450. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 3300/75477. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.z))) REDUCED to normal form. ------ 3301/75504. ------ 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. ------ 3302/75522. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(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. ------ 3303/75531. ------ 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. ------ 3304/75540. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a b)) 3. ==[ beta ]==> ((^y.(y y))(a b)) 4. ==[ alpha ]==> ((^x.(x x))(a b)) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 3305/75567. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 3306/75602. ------ 1. ==[ start ]==> (^a.(((^a.a) a) b)) 2. ==[ alpha ]==> (^x.(((^y.y) x) b)) 3. ==[ beta ]==> (^x.(x b)) REDUCED to normal form. ------ 3307/75603. ------ 1. ==[ start ]==> (a (((^a.a) a) b)) 2. ==[ alpha ]==> (a (((^x.x) a) b)) 3. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 3308/75660. ------ 1. ==[ start ]==> ((^a.b)(^c.d)) 2. ==[ alpha ]==> ((^x.b)(^y.d)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3309/75858. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (^y.(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (^x.(^y.((^z.z) a))) 5. ==[ beta ]==> (^x.(^y.a)) REDUCED to normal form. ------ 3310/76275. ------ 1. ==[ start ]==> ((((^a.a) a) b) a) 2. ==[ alpha ]==> ((((^x.x) a) b) a) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 3311/76281. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 3. ==[ beta ]==> (((^y.y) a) b) 4. ==[ alpha ]==> (((^x.x) a) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 3312/76290. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3313/76338. ------ 1. ==[ start ]==> ((a b)(^c.d)) 2. ==[ alpha ]==> ((a b)(^x.d)) REDUCED to normal form. ------ 3314/76347. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 3315/76356. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 3316/76437. ------ 1. ==[ start ]==> (((a a) b)(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)(^x.((^y.y) a))) 3. ==[ beta ]==> (((a a) b)(^x.a)) REDUCED to normal form. ------ 3317/76455. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 3318/76533. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (^y.((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (^x.((^y.y)((^z.z) a))) 5. ==[ beta ]==> (^x.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 3319/76536. ------ 1. ==[ start ]==> ((a (^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 3320/76617. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3321/76698. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.y))) 5. ==[ beta ]==> (a (^y.(^z.y))) 6. ==[ alpha ]==> (a (^x.(^y.x))) REDUCED to normal form. ------ 3322/76776. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3323/76851. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.y)) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 3324/76875. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)(^y.y))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 3325/76887. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(a a))) 3. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 5. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 3326/76914. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3327/76950. ------ 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. ------ 3328/76962. ------ 1. ==[ start ]==> ((a a)(((^a.a) a) b)) 2. ==[ alpha ]==> ((a a)(((^x.x) a) b)) 3. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 3329/76971. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 3330/76998. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^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. ------ 3331/77007. ------ 1. ==[ start ]==> (((a a) a)(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)(b ((^x.x) a))) 3. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 3332/77025. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 3333/77034. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 3334/77061. ------ 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))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 3335/77070. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a) b)) 2. ==[ alpha ]==> (((a a)(a a))((^x.a) b)) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 3336/77088. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 3337/77106. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3338/77115. ------ 1. ==[ start ]==> (((a a) b)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((a a)((^x.x) a))) 3. ==[ beta ]==> (((a a) b)((a a) a)) REDUCED to normal form. ------ 3339/77133. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 3340/77160. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 3341/77187. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 3342/77196. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b c)) REDUCED to normal form. ------ 3343/77214. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.a))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 3344/77232. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) 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. ------ 3345/77250. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 3346/77259. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y)) b)) REDUCED to normal form. ------ 3347/77295. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(^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. ------ 3348/77331. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(a a))) REDUCED to normal form. ------ 3349/77358. ------ 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. ------ 3350/77376. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(a (^z.a))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.a))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.a))) 5. ==[ beta ]==> (a (a (^y.a))) 6. ==[ alpha ]==> (a (a (^x.a))) REDUCED to normal form. ------ 3351/77385. ------ 1. ==[ start ]==> (((a a)(^b.a))(c a)) 2. ==[ alpha ]==> (((a a)(^x.a))(c a)) REDUCED to normal form. ------ 3352/77403. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3353/77412. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b b)) REDUCED to normal form. ------ 3354/77457. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 3355/77475. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a a) b)) 3. ==[ beta ]==> (((a a) a)((a a) b)) REDUCED to normal form. ------ 3356/77502. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 3357/77529. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y) b)) 3. ==[ beta ]==> ((a (a a))((^y.y) b)) 4. ==[ alpha ]==> ((a (a a))((^x.x) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 3358/77547. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b a)) 2. ==[ alpha ]==> (((^x.(x x)) a)(b a)) 3. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 3359/77556. ------ 1. ==[ start ]==> ((a (a (a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 3360/77565. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 5. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 7. ==[ beta ]==> ((a a)((^y.y)(a a))) 8. ==[ alpha ]==> ((a a)((^x.x)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 3361/77592. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 3362/77628. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a a)) 2. ==[ alpha ]==> ((((^x.x) a) b)(a a)) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 3363/77892. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.a))) 4. ==[ alpha ]==> (^x.(^y.(^z.a))) REDUCED to normal form. ------ 3364/78309. ------ 1. ==[ start ]==> ((((^a.a) a) b) b) 2. ==[ alpha ]==> ((((^x.x) a) b) b) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 3365/78333. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^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. ------ 3366/78378. ------ 1. ==[ start ]==> ((^a.b)(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)(b ((^y.y) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3367/78399. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 3368/78414. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3369/78459. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^z.z))(a (^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 3370/78507. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(z z)))) REDUCED to normal form. ------ 3371/78576. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(^z.a))) 3. ==[ beta ]==> (^y.((a a)(^z.a))) 4. ==[ alpha ]==> (^x.((a a)(^y.a))) REDUCED to normal form. ------ 3372/78579. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 3373/78648. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (a (^z.z)))) 3. ==[ eta ]==> ((^y.y)(b (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 3374/78660. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.c)) 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. ------ 3375/78741. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.c)) 3. ==[ beta ]==> (((^y.y) a)(^z.c)) 4. ==[ alpha ]==> (((^x.x) a)(^y.c)) 5. ==[ beta ]==> (a (^y.c)) 6. ==[ alpha ]==> (a (^x.c)) REDUCED to normal form. ------ 3376/78750. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 3377/78804. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^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. ------ 3378/78819. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z)) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3379/78867. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 3380/78912. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 3381/78918. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b a)) 2. ==[ alpha ]==> ((^x.(x (x x)))(b a)) 3. ==[ beta ]==> ((b a)((b a)(b a))) REDUCED to normal form. ------ 3382/78957. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.a)) 3. ==[ beta ]==> ((^y.y)(^x1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 3383/78993. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.z))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 3384/79023. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a) b)) 3. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 3385/79032. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 3386/79059. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 3387/79068. ------ 1. ==[ start ]==> ((a b)(b ((^a.a) a))) 2. ==[ alpha ]==> ((a b)(b ((^x.x) a))) 3. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 3388/79086. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 3389/79104. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 3390/79122. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a a))) 3. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 3391/79149. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 3392/79167. ------ 1. ==[ start ]==> (((a a) b)(b (^b.a))) 2. ==[ alpha ]==> (((a a) b)(b (^x.a))) REDUCED to normal form. ------ 3393/79194. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(y y)))) REDUCED to normal form. ------ 3394/79212. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^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. ------ 3395/79221. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 3396/79239. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 3397/79248. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 3398/79266. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 3399/79302. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)(^a.a))) 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. ------ 3400/79338. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (a (^y.y)))) 3. ==[ beta ]==> ((a a)(b (a (^y.y)))) 4. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 3401/79347. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a) c)) 3. ==[ beta ]==> ((^y.a)((a a) c)) 4. ==[ alpha ]==> ((^x.a)((a a) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3402/79374. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) a)) 3. ==[ beta ]==> ((^y.y)((^y1.a) a)) 4. ==[ alpha ]==> ((^x.x)((^y.a) a)) 5. ==[ beta ]==> ((^y.a) a) 6. ==[ alpha ]==> ((^x.a) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 3403/79383. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.y))) REDUCED to normal form. ------ 3404/79410. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 3405/79437. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 3406/79455. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))(^a.a))) 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. ------ 3407/79464. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 3408/79491. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^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. ------ 3409/79509. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 3410/79527. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (a a))) 3. ==[ beta ]==> (((a a) a)(b (a a))) REDUCED to normal form. ------ 3411/79554. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 3412/79581. ------ 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. ------ 3413/79599. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 3414/79608. ------ 1. ==[ start ]==> ((a (a (a a)))(b a)) REDUCED to normal form. ------ 3415/79617. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.z))) 3. ==[ beta ]==> ((^y.(y y))((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(^y.y))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(^y.y))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 3416/79644. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 3417/79680. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a (^a.a))) 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. ------ 3418/79697. ------ 1. ==[ start ]==> (^a.((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (^x.((^y.(y y))(^z.z))) 3. ==[ beta ]==> (^x.((^z.z)(^z.z))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3419/79698. ------ 1. ==[ start ]==> (a ((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (a ((^x.(x x))(^y.y))) 3. ==[ beta ]==> (a ((^y.y)(^y.y))) 4. ==[ alpha ]==> (a ((^x.x)(^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 3420/79791. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3421/80295. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^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))))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3422/80370. ------ 1. ==[ start ]==> ((((^a.a) a) b) c) 2. ==[ alpha ]==> ((((^x.x) a) b) c) 3. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 3423/80388. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a)) a) 2. ==[ alpha ]==> (((^x.(x x))(^y.y)) a) 3. ==[ beta ]==> (((^y.y)(^y.y)) 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. ------ 3424/80394. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((^y.(y y))(^z.z)) 4. ==[ alpha ]==> ((^x.(x x))(^y.y)) 5. ==[ beta ]==> ((^y.y)(^y.y)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3425/80421. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a ((^x1.a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 3426/80448. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3427/80484. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3428/80487. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 3429/80646. ------ 1. ==[ start ]==> ((^a.(^b.a))(b c)) 2. ==[ alpha ]==> ((^x.(^y.x))(b c)) 3. ==[ beta ]==> (^y.(b c)) 4. ==[ alpha ]==> (^x.(b c)) REDUCED to normal form. ------ 3430/80667. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 3431/80718. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^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. ------ 3432/80757. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^z1.z1)) 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. ------ 3433/80820. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.c)) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.c)) REDUCED to normal form. ------ 3434/80937. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 3435/80982. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.b)) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.y)) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3436/80988. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((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))))) REDUCED to normal form. ------ 3437/80991. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 3438/81027. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.b)) 3. ==[ beta ]==> ((^y.y)(^x1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 3439/81063. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.a)) 3. ==[ beta ]==> ((a b)(^y.a)) 4. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 3440/81081. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.z)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.z)) 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. ------ 3441/81093. ------ 1. ==[ start ]==> ((a a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a a)((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3442/81111. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) 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)) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 3443/81120. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 3444/81147. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 3445/81156. ------ 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))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 3446/81183. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 3447/81192. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x) 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. ------ 3448/81219. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.a) b)) 3. ==[ beta ]==> ((^y.y)((^z.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 3449/81237. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3450/81246. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 3451/81264. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((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. ------ 3452/81300. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 3453/81327. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 3454/81345. ------ 1. ==[ start ]==> ((a (^b.a))(b c)) 2. ==[ alpha ]==> ((a (^x.a))(b c)) REDUCED to normal form. ------ 3455/81363. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y) a)) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 3456/81381. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^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. ------ 3457/81390. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 3458/81417. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3459/81426. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (a (^z.z)))) 3. ==[ beta ]==> ((^y.a)(b (a (^z.z)))) 4. ==[ alpha ]==> ((^x.a)(b (a (^y.y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3460/81453. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(a ((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) a))) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 3461/81462. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a) a)) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 3462/81489. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3463/81507. ------ 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 ]==> (((^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. ------ 3464/81516. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y) c)) 3. ==[ beta ]==> (((a a)(^x.a)) c) REDUCED to normal form. ------ 3465/81543. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 3466/81570. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 3467/81606. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 3468/81633. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 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. ------ 3469/81660. ------ 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. ------ 3470/81678. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a) b)) 2. ==[ alpha ]==> (((^x.(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. ------ 3471/81687. ------ 1. ==[ start ]==> ((a (a (a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 3472/81696. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b a)) 3. ==[ beta ]==> ((^y.(y y))(b a)) 4. ==[ alpha ]==> ((^x.(x x))(b a)) 5. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 3473/81723. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 3474/81759. ------ 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)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 3475/81777. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a a)) 3. ==[ beta ]==> (((^y.y)(^y.y))(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. ------ 3476/81785. ------ 1. ==[ start ]==> (^a.((a (a a)) a)) 2. ==[ alpha ]==> (^x.((x (x x)) x)) REDUCED to normal form. ------ 3477/81786. ------ 1. ==[ start ]==> (a ((a (a a)) a)) REDUCED to normal form. ------ 3478/81879. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3479/82284. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3480/82383. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.b)) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.y)) 3. ==[ beta ]==> ((^y.y)((^y.y)(^y.y))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3481/82476. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a)) b) 2. ==[ alpha ]==> (((^x.(x x))(^y.y)) b) 3. ==[ beta ]==> (((^y.y)(^y.y)) 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. ------ 3482/82485. ------ 1. ==[ start ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 3483/82491. ------ 1. ==[ start ]==> ((^a.a)((a (a a)) a)) 2. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 3484/82500. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 3485/82518. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a) b)) 3. ==[ beta ]==> ((((^y.y) a) b)(((^y.y) 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. ------ 3486/82545. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a)) c)) 2. ==[ alpha ]==> ((^x.b)((a (^y.y)) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3487/82581. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3488/82584. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 3489/82593. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(y (y y)))) 3. ==[ beta ]==> (b (^y.(y (y y)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 3490/82626. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((^z.a) b)(^y.y)) 4. ==[ alpha ]==> (((^x.a) b)(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 3491/82692. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 3492/82743. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3493/82815. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z)) b)) 3. ==[ eta ]==> ((^y.y)((a (^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 3494/82854. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 3495/82863. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 3496/82917. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 3497/82935. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 3498/82986. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(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. ------ 3499/82989. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 3500/83085. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a) 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. ------ 3501/83088. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.b)) 2. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 3502/83097. ------ 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. ------ 3503/83124. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^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)) REDUCED to normal form. ------ 3504/83160. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(y y))) 3. ==[ beta ]==> ((a b)(^y.(y y))) 4. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 3505/83178. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3506/83187. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.a)) 2. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 3507/83199. ------ 1. ==[ start ]==> ((a a)((a (a a)) a)) REDUCED to normal form. ------ 3508/83208. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 3509/83226. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a) b)) 3. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 3510/83235. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 3511/83253. ------ 1. ==[ start ]==> ((a b)((a (^a.a)) c)) 2. ==[ alpha ]==> ((a b)((a (^x.x)) c)) REDUCED to normal form. ------ 3512/83262. ------ 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3513/83271. ------ 1. ==[ start ]==> (((a a)(^a.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 3514/83289. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 3515/83298. ------ 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. ------ 3516/83307. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x)) a)) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 3517/83325. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 3518/83334. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a) b)) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 3519/83352. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 3520/83370. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b (^b.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. ------ 3521/83379. ------ 1. ==[ start ]==> (((a (^a.a)) 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. ------ 3522/83397. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 3523/83424. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 3524/83451. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 3525/83469. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 3526/83496. ------ 1. ==[ start ]==> (((a (^a.a))(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. ------ 3527/83523. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y)) b)) 3. ==[ beta ]==> ((a a)((a (^y.y)) b)) 4. ==[ alpha ]==> ((a a)((a (^x.x)) b)) REDUCED to normal form. ------ 3528/83532. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3529/83559. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)(^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. ------ 3530/83568. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a ((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 3531/83595. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))(a a))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 3532/83613. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.(^z.z)))) 5. ==[ beta ]==> (a (b (^y.(^z.z)))) 6. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 3533/83622. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 3534/83640. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 3535/83676. ------ 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)) REDUCED to normal form. ------ 3536/83694. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(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. ------ 3537/83712. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y)) a)) 3. ==[ beta ]==> (((a a) a)((a (^y.y)) a)) 4. ==[ alpha ]==> (((a a) a)((a (^x.x)) a)) REDUCED to normal form. ------ 3538/83739. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a) b)) REDUCED to normal form. ------ 3539/83766. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 3540/83784. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a a)(a a))) 3. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 3541/83793. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a) b)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x) b)) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 3542/83802. ------ 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. ------ 3543/83829. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 3544/83865. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a (a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a (a a))) 3. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 3545/83883. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (^z.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 3546/83892. ------ 1. ==[ start ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 3547/84600. ------ 1. ==[ start ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 3548/84624. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3549/84669. ------ 1. ==[ start ]==> ((^a.b)(c (a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(c (a (^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3550/84717. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 3551/84726. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(x (x x)))) REDUCED to normal form. ------ 3552/84750. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((((^z.z) a)(a a))(^y.y)) 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. ------ 3553/84825. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 3554/84867. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 3555/84906. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 3556/84987. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.a))) REDUCED to normal form. ------ 3557/85059. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.c)) 3. ==[ beta ]==> ((^y.y)(^x1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 3558/85068. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.x1))) REDUCED to normal form. ------ 3559/85110. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3560/85185. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 3561/85209. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)(a a))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(a a))((a a)(a a)))) REDUCED to normal form. ------ 3562/85221. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.z)) 3. ==[ beta ]==> ((^y.(y y))(^z.z)) 4. ==[ alpha ]==> ((^x.(x x))(^y.y)) 5. ==[ beta ]==> ((^y.y)(^y.y)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3563/85248. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3564/85284. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.z))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 3565/85302. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.a)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.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. ------ 3566/85311. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 3567/85325. ------ 1. ==[ start ]==> (^a.(^b.(a (a a)))) 2. ==[ alpha ]==> (^x.(^y.(x (x x)))) REDUCED to normal form. ------ 3568/85326. ------ 1. ==[ start ]==> (a (^b.(a (a a)))) 2. ==[ alpha ]==> (a (^x.(a (a a)))) REDUCED to normal form. ------ 3569/85341. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a)) a)) 2. ==[ alpha ]==> ((a (^x.x))((a (a a)) a)) REDUCED to normal form. ------ 3570/85350. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.z))) 3. ==[ beta ]==> (a ((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (a ((^x.(x x))(^y.y))) 5. ==[ beta ]==> (a ((^y.y)(^y.y))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 3571/85368. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z) a) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 5. ==[ beta ]==> (((^y.y) a) b) 6. ==[ alpha ]==> (((^x.x) a) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 3572/85377. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 3573/85386. ------ 1. ==[ start ]==> ((a b)(c (a (^a.a)))) 2. ==[ alpha ]==> ((a b)(c (a (^x.x)))) REDUCED to normal form. ------ 3574/85404. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^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. ------ 3575/85431. ------ 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)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 3576/85440. ------ 1. ==[ start ]==> (((a a)(a a))(a (a (a a)))) REDUCED to normal form. ------ 3577/85467. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (a a))) REDUCED to normal form. ------ 3578/85476. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 3579/85485. ------ 1. ==[ start ]==> (((a a) b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 3580/85512. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.a))) REDUCED to normal form. ------ 3581/85539. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 3582/85557. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 3583/85566. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 3584/85584. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 3585/85602. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b c)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b c)) REDUCED to normal form. ------ 3586/85620. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 3587/85665. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z)) b)) 3. ==[ beta ]==> ((^y.a)((a (^z.z)) b)) 4. ==[ alpha ]==> ((^x.a)((a (^y.y)) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3588/85701. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(^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. ------ 3589/85746. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) b)) 5. ==[ beta ]==> (a ((^y.(^z.z)) b)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) b)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 3590/85755. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 3591/85782. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.a))) REDUCED to normal form. ------ 3592/85809. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^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. ------ 3593/85827. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 3594/85872. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (a a))) REDUCED to normal form. ------ 3595/85899. ------ 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. ------ 3596/85917. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (^y.y))) 3. ==[ beta ]==> ((a a)(b (^y.y))) 4. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 3597/85926. ------ 1. ==[ start ]==> ((a (a (a a)))((a a)(a a))) REDUCED to normal form. ------ 3598/85935. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z) b)) 3. ==[ beta ]==> ((^y.(y y))((^z.z) b)) 4. ==[ alpha ]==> ((^x.(x x))((^y.y) b)) 5. ==[ beta ]==> (((^y.y) b)((^y.y) 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. ------ 3599/85962. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((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. ------ 3600/85998. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)(^z.z))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 3601/86016. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 3602/86025. ------ 1. ==[ start ]==> (((a (a a)) a)(a (^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)(a (^x.x))) REDUCED to normal form. ------ 3603/86042. ------ 1. ==[ start ]==> (^a.((^a.a)(a (a a)))) 2. ==[ alpha ]==> (^x.((^y.y)(x (x x)))) 3. ==[ beta ]==> (^x.(x (x x))) REDUCED to normal form. ------ 3604/86043. ------ 1. ==[ start ]==> (a ((^a.a)(a (a a)))) 2. ==[ alpha ]==> (a ((^x.x)(a (a a)))) 3. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 3605/86046. ------ 1. ==[ start ]==> ((^a.a)(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 3. ==[ beta ]==> (^y.(a (a a))) 4. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 3606/86760. ------ 1. ==[ start ]==> (((^a.a)(a (a a))) a) 2. ==[ alpha ]==> (((^x.x)(a (a a))) a) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 3607/86766. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(a (a a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 3608/86769. ------ 1. ==[ start ]==> ((a a)(^b.(a (a a)))) 2. ==[ alpha ]==> ((a a)(^x.(a (a a)))) REDUCED to normal form. ------ 3609/86793. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((^y.(y y))(^z.z))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 9. ==[ beta ]==> ((^y.(y y))(^z.z)) 10. ==[ alpha ]==> ((^x.(x x))(^y.y)) 11. ==[ beta ]==> ((^y.y)(^y.y)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3610/86820. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3611/86856. ------ 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. ------ 3612/86868. ------ 1. ==[ start ]==> (((^a.a) b)(^c.d)) 2. ==[ alpha ]==> (((^x.x) b)(^y.d)) 3. ==[ beta ]==> (b (^y.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 3613/86877. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 3614/87018. ------ 1. ==[ start ]==> ((^a.(^b.a))(c b)) 2. ==[ alpha ]==> ((^x.(^y.x))(c b)) 3. ==[ beta ]==> (^y.(c b)) 4. ==[ alpha ]==> (^x.(c b)) REDUCED to normal form. ------ 3615/87057. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 3616/87066. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^y.a)) REDUCED to normal form. ------ 3617/87090. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(^a.a))) 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. ------ 3618/87138. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.c)) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 3619/87219. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.c)) REDUCED to normal form. ------ 3620/87261. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3621/87282. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 3622/87336. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(^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. ------ 3623/87360. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (^a.a))) 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. ------ 3624/87435. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.a)) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.a)) 3. ==[ beta ]==> ((a b)(^y.a)) 4. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 3625/87453. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(z z))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(z z))) 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. ------ 3626/87462. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.a)) 2. ==[ alpha ]==> (((a (a a)) a)(^x.a)) REDUCED to normal form. ------ 3627/87480. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.y)) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 3628/87492. ------ 1. ==[ start ]==> ((a a)((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a a)((^x.x)(a (a a)))) 3. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 3629/87510. ------ 1. ==[ start ]==> (((^a.a) a)((a (a a)) a)) 2. ==[ alpha ]==> (((^x.x) a)((a (a a)) a)) 3. ==[ beta ]==> (a ((a (a a)) a)) REDUCED to normal form. ------ 3630/87519. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^y.y))) 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. ------ 3631/87537. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a) a)(((^x.x) a) b)) 3. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 3632/87546. ------ 1. ==[ start ]==> ((a b)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 3633/87582. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 3634/87600. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y y))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 3635/87618. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(z z)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 3636/87636. ------ 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 ]==> ((^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. ------ 3637/87645. ------ 1. ==[ start ]==> (((a a) b)((^b.a) b)) 2. ==[ alpha ]==> (((a a) b)((^x.a) b)) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 3638/87663. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 3639/87690. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 3640/87726. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^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. ------ 3641/87744. ------ 1. ==[ start ]==> ((a (^b.a))(c b)) 2. ==[ alpha ]==> ((a (^x.a))(c b)) REDUCED to normal form. ------ 3642/87762. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 3643/87780. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)(^z.a))) 3. ==[ beta ]==> ((^y.y)((a 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. ------ 3644/87789. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 3645/87816. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(^a.a))) 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. ------ 3646/87825. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (a a))) 3. ==[ beta ]==> ((^y.a)(c (a a))) 4. ==[ alpha ]==> ((^x.a)(c (a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3647/87852. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 3648/87861. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a) c)) REDUCED to normal form. ------ 3649/87888. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a) a)) 3. ==[ beta ]==> ((a a)((^y.a) a)) 4. ==[ alpha ]==> ((a a)((^x.a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 3650/87906. ------ 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. ------ 3651/87915. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 3652/87933. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 3653/87969. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((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. ------ 3654/87987. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b b)) 2. ==[ alpha ]==> ((a (^x.(x x)))(b b)) REDUCED to normal form. ------ 3655/88005. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(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. ------ 3656/88032. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^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. ------ 3657/88059. ------ 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)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 3658/88077. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3659/88086. ------ 1. ==[ start ]==> ((a (a (a a)))(b (^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))(b (^x.x))) REDUCED to normal form. ------ 3660/88095. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(a a))) 3. ==[ beta ]==> ((^y.(y y))((a a)(a a))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(a a))) 5. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 3661/88122. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 3662/88158. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a) a)) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a) a)) 3. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 3663/88176. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(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. ------ 3664/88185. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a) a)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x) a)) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 3665/88203. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(a a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(a a)) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 3666/88211. ------ 1. ==[ start ]==> (^a.((a a)(^a.(a a)))) 2. ==[ alpha ]==> (^x.((x x)(^y.(y y)))) REDUCED to normal form. ------ 3667/88212. ------ 1. ==[ start ]==> (a ((a a)(^a.(a a)))) 2. ==[ alpha ]==> (a ((a a)(^x.(x x)))) REDUCED to normal form. ------ 3668/88224. ------ 1. ==[ start ]==> ((^a.(^a.a))(^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. ------ 3669/88929. ------ 1. ==[ start ]==> (((^a.a)(a (a a))) b) 2. ==[ alpha ]==> (((^x.x)(a (a a))) b) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 3670/88938. ------ 1. ==[ start ]==> (((a a)(^a.(a a))) a) 2. ==[ alpha ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 3671/88944. ------ 1. ==[ start ]==> ((^a.a)((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 3. ==[ beta ]==> ((a a)(^y.(y y))) 4. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 3672/88953. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 3673/88956. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 3674/88971. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.(x x))((a (a a)) a)) 3. ==[ beta ]==> (((a (a a)) a)((a (a a)) a)) REDUCED to normal form. ------ 3675/88998. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3676/89034. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3677/89073. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(z (z z)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 3678/89079. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((^z.(z z)) a)(^y.y)) 4. ==[ alpha ]==> (((^x.(x x)) a)(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3679/89172. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 3680/89196. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(a a))) 3. ==[ beta ]==> (^y.((^z.a)(a a))) 4. ==[ alpha ]==> (^x.((^y.a)(a a))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 3681/89268. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a) a)) 3. ==[ eta ]==> ((^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. ------ 3682/89343. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x) a) a)(^z.z)) 4. ==[ alpha ]==> ((((^x.x) a) a)(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3683/89439. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3684/89532. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(y (^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 3685/89538. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((^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))) 5. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) a)((^y1.(^z1.z1)) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a)((^x1.(^y1.y1)) a))) 7. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.(^y1.y1)) a)) 8. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) a)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 11. ==[ beta ]==> ((^y.(^z.z)) a) 12. ==[ alpha ]==> ((^x.(^y.y)) a) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3686/89577. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 3687/89613. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.b)) 3. ==[ beta ]==> ((a b)(^y.b)) 4. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 3688/89631. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3689/89640. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(a a))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(x x))) REDUCED to normal form. ------ 3690/89658. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 3691/89667. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 3692/89679. ------ 1. ==[ start ]==> ((a a)((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 3693/89688. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 3694/89706. ------ 1. ==[ start ]==> ((a (a a))((a (a a)) a)) REDUCED to normal form. ------ 3695/89715. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3696/89733. ------ 1. ==[ start ]==> ((a b)(((^a.a) a) b)) 2. ==[ alpha ]==> ((a b)(((^x.x) a) b)) 3. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 3697/89742. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 3698/89769. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 3699/89778. ------ 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))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 3700/89805. ------ 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 (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 3701/89814. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y)) a)) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 3702/89832. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)(a a))) 3. ==[ beta ]==> (((a a) b)(a (a a))) REDUCED to normal form. ------ 3703/89859. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 3704/89877. ------ 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))) REDUCED to normal form. ------ 3705/89886. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 3706/89904. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(a (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 3707/89931. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(a a))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 3708/89949. ------ 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)))) REDUCED to normal form. ------ 3709/89967. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 3710/89976. ------ 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. ------ 3711/90003. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a) a)) 3. ==[ beta ]==> ((a a)(((^y.y) a) a)) 4. ==[ alpha ]==> ((a a)(((^x.x) a) a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 3712/90012. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)(^a.a))) 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. ------ 3713/90039. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.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. ------ 3714/90048. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (a (^y.y)))) REDUCED to normal form. ------ 3715/90075. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a ((^y.y) a))) 3. ==[ beta ]==> ((a a)(a ((^y.y) a))) 4. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 3716/90102. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 3717/90120. ------ 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)(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. ------ 3718/90129. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a (^x1.x1)))) REDUCED to normal form. ------ 3719/90174. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 3720/90192. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 3721/90219. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 3722/90246. ------ 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. ------ 3723/90264. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 3724/90273. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 3725/90282. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.z))) 3. ==[ beta ]==> ((^y.(y y))(b (^z.z))) 4. ==[ alpha ]==> ((^x.(x x))(b (^y.y))) 5. ==[ beta ]==> ((b (^y.y))(b (^y.y))) 6. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 3726/90309. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 3727/90345. ------ 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. ------ 3728/90363. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(^x1.x1))) 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. ------ 3729/90372. ------ 1. ==[ start ]==> (((a (a a)) a)(a (a a))) REDUCED to normal form. ------ 3730/90390. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(a (^a.a))) 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. ------ 3731/90399. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 3732/90546. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> ((^z.(z (z z)))(^y.y)) 4. ==[ alpha ]==> ((^x.(x (x x)))(^y.y)) 5. ==[ beta ]==> ((^y.y)((^y.y)(^y.y))) 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. ------ 3733/91005. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((^y.(y (^z.z)))((^y.(y (^z.z)))(^y.(y (^z.z))))) 4. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z (^x1.x1)))(^y1.(y1 (^z1.z1))))) 5. ==[ beta ]==> (((^z.(z (^x1.x1)))(^y1.(y1 (^z1.z1))))(^y.y)) 6. ==[ alpha ]==> (((^x.(x (^y.y)))(^z.(z (^x1.x1))))(^y1.y1)) 7. ==[ beta ]==> (((^z.(z (^x1.x1)))(^y.y))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(x (^y.y)))(^z.z))(^x1.x1)) 9. ==[ beta ]==> (((^z.z)(^y.y))(^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. ------ 3734/91134. ------ 1. ==[ start ]==> (((a a)(^a.(a a))) b) 2. ==[ alpha ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 3735/91158. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3736/91170. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(a (a a)))) 3. ==[ beta ]==> (a (^y.(a (a a)))) 4. ==[ alpha ]==> (a (^x.(a (a a)))) REDUCED to normal form. ------ 3737/91278. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 3738/91284. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.(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. ------ 3739/91287. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y (y y)))) REDUCED to normal form. ------ 3740/91386. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 3741/91401. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) 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. ------ 3742/91548. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.a))) 3. ==[ beta ]==> ((a a)(^y.(^z.a))) 4. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 3743/91629. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^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. ------ 3744/91644. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))(^a.a))) 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. ------ 3745/91737. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 3746/91743. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (a (^y.y)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (a (^y.y)))(a (a (^y.y))))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (a (^y.y)))(a (a (^z.z))))) REDUCED to normal form. ------ 3747/91746. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(x (^y.y)))) REDUCED to normal form. ------ 3748/91782. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3749/91818. ------ 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. ------ 3750/91845. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 3751/91863. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.a)) 3. ==[ beta ]==> ((a (a a))(^y.a)) 4. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 3752/91872. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 3753/91902. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 3754/91911. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(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)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 3755/91929. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a)) a)) 3. ==[ beta ]==> ((^y.y)((a (a a)) a)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 3756/91938. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^y.y))) 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. ------ 3757/91956. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a) b)) 3. ==[ beta ]==> ((a a)(((^y.y) a) b)) 4. ==[ alpha ]==> ((a a)(((^x.x) a) b)) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 3758/91965. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.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. ------ 3759/91992. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 3760/92001. ------ 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. ------ 3761/92019. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3762/92028. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 3763/92037. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3764/92064. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.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. ------ 3765/92100. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 3766/92127. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(z z)))) REDUCED to normal form. ------ 3767/92145. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) 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. ------ 3768/92181. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 3769/92190. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b c)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b c)) REDUCED to normal form. ------ 3770/92226. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a) a)) 3. ==[ beta ]==> ((^y.a)(((^z.z) a) a)) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3771/92253. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 3772/92262. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 3773/92289. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 3774/92307. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 3775/92316. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (^y.y))) REDUCED to normal form. ------ 3776/92334. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3777/92343. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 3778/92370. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(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. ------ 3779/92388. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 3780/92406. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b b)) 3. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 3781/92460. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b (a a))) 3. ==[ beta ]==> ((a (a a))(b (a a))) REDUCED to normal form. ------ 3782/92478. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 3783/92487. ------ 1. ==[ start ]==> ((a (a (a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(a (a (^x.x)))) REDUCED to normal form. ------ 3784/92496. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((^y.(^z.z)) a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) a)) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 9. ==[ beta ]==> ((^y.(^z.z)) a) 10. ==[ alpha ]==> ((^x.(^y.y)) a) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3785/92523. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1) b)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 3786/92559. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(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. ------ 3787/92577. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((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. ------ 3788/92586. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)(^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. ------ 3789/92604. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y) a)) 3. ==[ beta ]==> ((a (a a))((^y.y) a)) 4. ==[ alpha ]==> ((a (a a))((^x.x) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 3790/92613. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 3791/92630. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1) x))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3792/92631. ------ 1. ==[ start ]==> (a ((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 3793/92661. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(a (a a)))) 3. ==[ beta ]==> ((^y.(a (a a)))(^y.(a (a a)))) 4. ==[ alpha ]==> ((^x.(a (a a)))(^y.(a (a a)))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 3794/92769. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^z.(^x1.(x1 x1)))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.z)) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3795/92958. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((^x1.x1) a))) 3. ==[ eta ]==> ((^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. ------ 3796/93228. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^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))))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3797/93375. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a)) a) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a)) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3798/93381. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3799/93408. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a (a a)))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 3800/93411. ------ 1. ==[ start ]==> ((a (a a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(a (a a)))) REDUCED to normal form. ------ 3801/93435. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3802/93516. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^z.z)(^x1.(x1 x1)))(^y.y)) 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. ------ 3803/93519. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 3804/93528. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3805/93705. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)((^x1.x1) a))) 3. ==[ eta ]==> ((^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. ------ 3806/93708. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a a)(^y.((^z.z) a))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y) a))) 5. ==[ beta ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 3807/93798. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)((^y.y) 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. ------ 3808/93861. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^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. ------ 3809/93924. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 3810/93975. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y.y)(^z.(^x1.x1)))((^y.y)(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.(^z1.z1)))((^x2.x2)(^y2.(^z2.z2))))) 5. ==[ beta ]==> ((^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. ------ 3811/93978. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 3812/93987. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(y (^z.z)))) 5. ==[ beta ]==> ((^y.(y (^z.z)))(^y.(y (^z.z)))) 6. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(z (^x1.x1)))) 7. ==[ beta ]==> ((^z.(z (^x1.x1)))(^y.y)) 8. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.z)) 9. ==[ beta ]==> ((^z.z)(^y.y)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3813/94014. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^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)) REDUCED to normal form. ------ 3814/94050. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.z))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 3815/94068. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.b)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.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. ------ 3816/94095. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(y y))) 3. ==[ beta ]==> ((a (a a))(^y.(y y))) 4. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 3817/94104. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 3818/94122. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3819/94134. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3820/94152. ------ 1. ==[ start ]==> (((^a.a) a)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((a a)(^y.(y y)))) 3. ==[ beta ]==> (a ((a a)(^y.(y y)))) 4. ==[ alpha ]==> (a ((a a)(^x.(x x)))) REDUCED to normal form. ------ 3821/94161. ------ 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. ------ 3822/94179. ------ 1. ==[ start ]==> (((a a) a)((a (a a)) a)) REDUCED to normal form. ------ 3823/94188. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((a b)((^y.y)(^y.y))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 3824/94206. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 3825/94233. ------ 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. ------ 3826/94242. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 3827/94269. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(z z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 3828/94278. ------ 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. ------ 3829/94287. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a) b)((^x.(x x)) a)) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 3830/94305. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^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. ------ 3831/94314. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a) b)) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 3832/94332. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))(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)))) REDUCED to normal form. ------ 3833/94359. ------ 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)((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. ------ 3834/94404. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 3835/94422. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 3836/94431. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(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. ------ 3837/94458. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 3838/94503. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y)) b)) REDUCED to normal form. ------ 3839/94548. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(a ((^z.z) a))) 3. ==[ beta ]==> (((^y.y) a)(a ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) a)(a ((^y.y) a))) 5. ==[ beta ]==> (a (a ((^y.y) a))) 6. ==[ alpha ]==> (a (a ((^x.x) a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 3840/94557. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a) a)) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 3841/94575. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 5. ==[ beta ]==> ((a (^y.y))(a a)) 6. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 3842/94584. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 3843/94647. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 3844/94674. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(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. ------ 3845/94701. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 3846/94719. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)((a a) b)) 3. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 3847/94728. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)(^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. ------ 3848/94737. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (a (^z.z)))) 3. ==[ beta ]==> ((^y.(y y))(a (a (^z.z)))) 4. ==[ alpha ]==> ((^x.(x x))(a (a (^y.y)))) 5. ==[ beta ]==> ((a (a (^y.y)))(a (a (^y.y)))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 3849/94764. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a)(a a))) 3. ==[ beta ]==> ((^y.y)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 3850/94800. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)(^y.y))) 3. ==[ beta ]==> ((a b)((a a)(^y.y))) 4. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 3851/94818. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a b)) 3. ==[ beta ]==> (((^y.y)(^y.y))(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. ------ 3852/94827. ------ 1. ==[ start ]==> (((a (a a)) a)((a a) a)) REDUCED to normal form. ------ 3853/94845. ------ 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. ------ 3854/94854. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) a)) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 3855/94872. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 3856/94880. ------ 1. ==[ start ]==> (^a.((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (^x.((x (^y.y))(^z.x))) REDUCED to normal form. ------ 3857/94881. ------ 1. ==[ start ]==> (a ((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (a ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 3858/95136. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.(^y.(^z.(z z)))) REDUCED to normal form. ------ 3859/95379. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3860/95625. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a)) b) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a)) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 3861/95634. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a)) a) 2. ==[ alpha ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 3862/95640. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(^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. ------ 3863/95649. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3864/95667. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 3865/95679. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 3866/95694. ------ 1. ==[ start ]==> ((^a.b)((a (a a)) a)) 2. ==[ alpha ]==> ((^x.b)((a (a a)) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3867/95730. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3868/95787. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3869/95796. ------ 1. ==[ start ]==> (((a a) b)(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(x (x x)))) REDUCED to normal form. ------ 3870/95892. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (^z.(z z)))) 3. ==[ beta ]==> (^y.(a (^z.(z z)))) 4. ==[ alpha ]==> (^x.(a (^y.(y y)))) REDUCED to normal form. ------ 3871/95895. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 3872/95964. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(^z.a))) 3. ==[ eta ]==> ((^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. ------ 3873/95976. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.a)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.a)(^y.((^z.z) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3874/96057. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.a))) 5. ==[ beta ]==> (a (^y.(^z.a))) 6. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 3875/96066. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 3876/96135. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (^z.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3877/96138. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 3878/96234. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a) b)) 3. ==[ beta ]==> (((a a) b)(((a a) b)((a a) b))) REDUCED to normal form. ------ 3879/96246. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(^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. ------ 3880/96327. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(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. ------ 3881/96336. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.b)) 2. ==[ alpha ]==> (((a (a a)) a)(^x.b)) REDUCED to normal form. ------ 3882/96354. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 3883/96363. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 3884/96381. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3885/96390. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 3886/96402. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 3887/96411. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 3888/96429. ------ 1. ==[ start ]==> ((a (a a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 3889/96438. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 3890/96456. ------ 1. ==[ start ]==> ((a b)((a (a a)) a)) REDUCED to normal form. ------ 3891/96465. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3892/96492. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 3893/96501. ------ 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. ------ 3894/96528. ------ 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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 3895/96546. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3896/96555. ------ 1. ==[ start ]==> (((a a) b)(a (a (a a)))) REDUCED to normal form. ------ 3897/96582. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (a a))) REDUCED to normal form. ------ 3898/96609. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 3899/96627. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b (^z.a))) 3. ==[ beta ]==> ((^y.y)(b (^z.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 3900/96636. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 3901/96654. ------ 1. ==[ start ]==> ((a (^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 3902/96672. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 3903/96690. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c b)) 3. ==[ beta ]==> ((^y.y)(c b)) 4. ==[ alpha ]==> ((^x.x)(c b)) 5. ==[ beta ]==> (c b) REDUCED to normal form. ------ 3904/96699. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 3905/96726. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.a))) 3. ==[ beta ]==> ((a a)((a a)(^y.a))) 4. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 3906/96735. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.a)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.a)((^y.y)((^z.z) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3907/96762. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)(^a.a))) 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. ------ 3908/96771. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (a a))) REDUCED to normal form. ------ 3909/96798. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (a (^y.y)))) 3. ==[ beta ]==> ((a a)(b (a (^y.y)))) 4. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 3910/96816. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)(^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. ------ 3911/96825. ------ 1. ==[ start ]==> (((a a)(^b.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 3912/96852. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 3913/96879. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 3914/96897. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 3915/96915. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))(^a.a))) 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. ------ 3916/96942. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 3917/96969. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.y)) a)) 3. ==[ beta ]==> ((a (a a))((a (^y.y)) a)) 4. ==[ alpha ]==> ((a (a a))((a (^x.x)) a)) REDUCED to normal form. ------ 3918/96987. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (a a))) 3. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 3919/96996. ------ 1. ==[ start ]==> ((a (a (a a)))((a a) b)) REDUCED to normal form. ------ 3920/97005. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((^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. ------ 3921/97032. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 3922/97068. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b a)) 2. ==[ alpha ]==> ((((^x.x) a) b)(b a)) 3. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 3923/97086. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(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. ------ 3924/97095. ------ 1. ==[ start ]==> (((a (a a)) a)(a b)) REDUCED to normal form. ------ 3925/97113. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 3926/97122. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 3927/97140. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 3928/97149. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 3929/97656. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.c)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 3930/97911. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a)) b) 2. ==[ alpha ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 3931/97935. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3932/97974. ------ 1. ==[ start ]==> (((a a) a)(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(a (a a)))) REDUCED to normal form. ------ 3933/98016. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 3934/98061. ------ 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)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 3935/98082. ------ 1. ==[ start ]==> (((a a) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 3936/98250. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b c)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b c)) 3. ==[ eta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 3937/98262. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3938/98352. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 3939/98424. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.c)) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.c)) REDUCED to normal form. ------ 3940/98520. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (a a))) 3. ==[ beta ]==> ((b (a a))((b (a a))(b (a a)))) REDUCED to normal form. ------ 3941/98595. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 3942/98622. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(a a))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(a a))) REDUCED to normal form. ------ 3943/98649. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 3944/98667. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.a)) 3. ==[ beta ]==> ((^y.y)(^x1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 3945/98676. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 3946/98706. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 3947/98715. ------ 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 (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 3948/98733. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 3949/98742. ------ 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. ------ 3950/98760. ------ 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. ------ 3951/98769. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^z.z))) 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. ------ 3952/98787. ------ 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. ------ 3953/98796. ------ 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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 3954/98823. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 3955/98832. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b ((^y.y) a))) 3. ==[ beta ]==> ((a (a (^x.x)))(b a)) REDUCED to normal form. ------ 3956/98850. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a a) b)(^y.(y y))) 4. ==[ alpha ]==> (((a a) b)(^x.(x x))) REDUCED to normal form. ------ 3957/98868. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 3958/98895. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.a) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.a) b)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 3959/98931. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.a))) REDUCED to normal form. ------ 3960/98985. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 3961/99021. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b c)) 2. ==[ alpha ]==> ((a ((^x.x) a))(b c)) 3. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 3962/99030. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.a))) 3. ==[ beta ]==> ((^y.a)((a a)(^z.a))) 4. ==[ alpha ]==> ((^x.a)((a a)(^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3963/99057. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) 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. ------ 3964/99066. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 3965/99093. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3966/99120. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(^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. ------ 3967/99138. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 3968/99174. ------ 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)))) REDUCED to normal form. ------ 3969/99237. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b b)) REDUCED to normal form. ------ 3970/99282. ------ 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 a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 3971/99291. ------ 1. ==[ start ]==> ((a (a (a a)))(b (a a))) REDUCED to normal form. ------ 3972/99300. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a) b)) 3. ==[ beta ]==> ((^y.(y y))((a a) b)) 4. ==[ alpha ]==> ((^x.(x x))((a a) b)) 5. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 3973/99327. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 3974/99363. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 3975/99381. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(^z.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(^z.z))) 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. ------ 3976/99390. ------ 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. ------ 3977/99408. ------ 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. ------ 3978/99417. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 3979/99435. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 3980/99444. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.z))) REDUCED to normal form. ------ 3981/99461. ------ 1. ==[ start ]==> (^a.((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (^x.((^y.x)(x (^z.z)))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 3982/99462. ------ 1. ==[ start ]==> (a ((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (a ((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 3983/99519. ------ 1. ==[ start ]==> ((^a.b)(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3984/99717. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (^y.(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (^x.(^y.((^z.z) a))) 5. ==[ beta ]==> (^x.(^y.a)) REDUCED to normal form. ------ 3985/100215. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a)) c) 2. ==[ alpha ]==> (((a (^x.x))(^y.a)) c) REDUCED to normal form. ------ 3986/100239. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.a)(a (^z.z))) 4. ==[ alpha ]==> ((^x.a)(a (^y.y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 3987/100266. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) 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. ------ 3988/100293. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 3989/100296. ------ 1. ==[ start ]==> ((a b)(^b.(a (a a)))) 2. ==[ alpha ]==> ((a b)(^x.(a (a a)))) REDUCED to normal form. ------ 3990/100374. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.a))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3991/100395. ------ 1. ==[ start ]==> (((a a) b)(^c.d)) 2. ==[ alpha ]==> (((a a) b)(^x.d)) REDUCED to normal form. ------ 3992/100413. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^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. ------ 3993/100491. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)((^z.z) a))) 3. ==[ beta ]==> (^y.((a a)((^z.z) a))) 4. ==[ alpha ]==> (^x.((a a)((^y.y) a))) 5. ==[ beta ]==> (^x.((a a) a)) REDUCED to normal form. ------ 3994/100494. ------ 1. ==[ start ]==> ((a (^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 3995/100512. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 3996/100563. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 3997/100665. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.c)) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 3998/100683. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(a (^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 3999/100734. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4000/100755. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.y))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.y))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.x))) REDUCED to normal form. ------ 4001/100809. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 4002/100833. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))(^a.a))) 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. ------ 4003/100872. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^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. ------ 4004/100908. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.y)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 4005/100953. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.b)) 3. ==[ beta ]==> ((a (a a))(^y.b)) 4. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 4006/100980. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(x1 x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4007/100989. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 4008/101019. ------ 1. ==[ start ]==> ((a a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 4009/101037. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.a))) 3. ==[ beta ]==> (a ((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (a ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 4010/101046. ------ 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))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 4011/101064. ------ 1. ==[ start ]==> (((a a) a)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 4012/101073. ------ 1. ==[ start ]==> ((a b)((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a b)((^x.x)(a (a a)))) 3. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 4013/101091. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 4014/101118. ------ 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)) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 4015/101127. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 4016/101154. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^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. ------ 4017/101163. ------ 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. ------ 4018/101190. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(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. ------ 4019/101199. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y)) a)) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 4020/101217. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((a (^y.y))(((^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. ------ 4021/101226. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 4022/101244. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 4023/101271. ------ 1. ==[ start ]==> ((a (^b.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((a a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.a))((a a) a)) REDUCED to normal form. ------ 4024/101289. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 4025/101307. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 4026/101316. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 4027/101343. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 4028/101352. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b c)) 3. ==[ beta ]==> ((^y.a)(b c)) 4. ==[ alpha ]==> ((^x.a)(b c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 4029/101388. ------ 1. ==[ start ]==> (((a (^a.a)) 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. ------ 4030/101415. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y)) b)) 3. ==[ beta ]==> ((a a)((a (^y.y)) b)) 4. ==[ alpha ]==> ((a a)((a (^x.x)) b)) REDUCED to normal form. ------ 4031/101433. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)(b (a (^y.y)))) 5. ==[ beta ]==> (a (b (a (^y.y)))) 6. ==[ alpha ]==> (a (b (a (^x.x)))) REDUCED to normal form. ------ 4032/101442. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((a a) c)) REDUCED to normal form. ------ 4033/101460. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1) 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. ------ 4034/101469. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 4035/101496. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 4036/101514. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 4037/101532. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a (^y.a))) 3. ==[ beta ]==> (((a a) a)(a (^y.a))) 4. ==[ alpha ]==> (((a a) a)(a (^x.a))) REDUCED to normal form. ------ 4038/101559. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 4039/101586. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 4040/101604. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y)) a)) 3. ==[ beta ]==> ((a a)((a (^y.y)) a)) 4. ==[ alpha ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 4041/101613. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))(^a.a))) 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. ------ 4042/101622. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (a a))) 3. ==[ beta ]==> ((^y.(y y))(b (a a))) 4. ==[ alpha ]==> ((^x.(x x))(b (a a))) 5. ==[ beta ]==> ((b (a a))(b (a a))) REDUCED to normal form. ------ 4043/101649. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 4044/101685. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y) b)) 3. ==[ beta ]==> ((a b)((^y.y) b)) 4. ==[ alpha ]==> ((a b)((^x.x) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 4045/101703. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b a)) 3. ==[ beta ]==> (((^y.y)(^y.y))(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. ------ 4046/101712. ------ 1. ==[ start ]==> (((a (a a)) a)((a a)(^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.x))) REDUCED to normal form. ------ 4047/101730. ------ 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. ------ 4048/101739. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 4049/101757. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 4050/101766. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 4051/101792. ------ 1. ==[ start ]==> (^a.(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y) x)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.(x (^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 4052/101793. ------ 1. ==[ start ]==> (a (((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (a (((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (a (a (^y.(^z.z)))) 4. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 4053/101850. ------ 1. ==[ start ]==> ((^a.b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(z z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 4054/102573. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a))) a) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z))) a) 3. ==[ beta ]==> ((a (^y.(^z.z))) a) 4. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 4055/102579. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 4056/102588. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 4057/102606. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a (^y.y))(^z.a))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 4058/102633. ------ 1. ==[ start ]==> ((^a.b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((a a)(^y.(y y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 4059/102636. ------ 1. ==[ start ]==> ((a b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 4060/102645. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(a (a a)))) 3. ==[ beta ]==> ((a a)(^y.(a (a a)))) 4. ==[ alpha ]==> ((a a)(^x.(a (a a)))) REDUCED to normal form. ------ 4061/102669. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4062/102753. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 4063/102762. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y (y y)))) REDUCED to normal form. ------ 4064/102831. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (^z.a))) 3. ==[ beta ]==> (^y.(b (^z.a))) 4. ==[ alpha ]==> (^x.(b (^y.a))) REDUCED to normal form. ------ 4065/102903. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 4066/102942. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 4067/103023. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 4068/103032. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.((^a.a) a))) 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. ------ 4069/103074. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4070/103095. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.c)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.c)) 3. ==[ beta ]==> (((a a) a)(^y.c)) 4. ==[ alpha ]==> (((a a) a)(^x.c)) REDUCED to normal form. ------ 4071/103173. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y)) a)) 3. ==[ beta ]==> (((a (^y.y)) a)(((a (^y.y)) a)((a (^y.y)) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a (^y.y)) a)((a (^z.z)) a))) REDUCED to normal form. ------ 4072/103212. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 4073/103248. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(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. ------ 4074/103266. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(^y1.y1)))) 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. ------ 4075/103293. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(a a))) 3. ==[ beta ]==> ((a (a a))(^y.(a a))) 4. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 4076/103302. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 4077/103320. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4078/103329. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(z z))) REDUCED to normal form. ------ 4079/103356. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 4080/103368. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 4081/103377. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 4082/103395. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 4083/103404. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^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. ------ 4084/103422. ------ 1. ==[ start ]==> ((a b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 4085/103431. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 4086/103458. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^x1.x1))) 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. ------ 4087/103476. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) a) b)) 3. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 4088/103512. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^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. ------ 4089/103521. ------ 1. ==[ start ]==> (((a a) b)(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)(b ((^x.x) a))) 3. ==[ beta ]==> (((a a) b)(b a)) REDUCED to normal form. ------ 4090/103539. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4091/103548. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (a (a a)))) REDUCED to normal form. ------ 4092/103575. ------ 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. ------ 4093/103602. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 4094/103620. ------ 1. ==[ start ]==> ((a (^b.a))(b (^b.a))) 2. ==[ alpha ]==> ((a (^x.a))(b (^y.a))) REDUCED to normal form. ------ 4095/103665. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) 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. ------ 4096/103692. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 4097/103701. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 4098/103728. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1) 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. ------ 4099/103782. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))(^a.(^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. ------ 4100/103791. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (a (^y.y)))) REDUCED to normal form. ------ 4101/103809. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)(^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. ------ 4102/103818. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 4103/103845. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((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. ------ 4104/103863. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 4105/103908. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 4106/103935. ------ 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. ------ 4107/103962. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.x)) a)) REDUCED to normal form. ------ 4108/103971. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4109/103998. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4110/104034. ------ 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. ------ 4111/104052. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (^z.(^x1.x1)))) 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. ------ 4112/104061. ------ 1. ==[ start ]==> (((a (a a)) a)(b a)) REDUCED to normal form. ------ 4113/104079. ------ 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. ------ 4114/104088. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a b)) REDUCED to normal form. ------ 4115/104106. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 4116/104115. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (a a))) REDUCED to normal form. ------ 4117/104142. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 4118/104931. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a))) b) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z))) b) 3. ==[ beta ]==> ((a (^y.(^z.z))) b) 4. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 4119/104955. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4120/105021. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 4121/105036. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4122/105129. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(z z)))) REDUCED to normal form. ------ 4123/105198. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (^y.((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (^x.((^y.(^z.z)) c)) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4124/105237. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 4125/105318. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^y.a)) REDUCED to normal form. ------ 4126/105399. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 4127/105441. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4128/105534. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 4129/105579. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.b)) 3. ==[ beta ]==> ((^y.y)(^x1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 4130/105633. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.z)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.z)) 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. ------ 4131/105642. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 4132/105669. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 4133/105696. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 4134/105723. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 4135/105753. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 4136/105762. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (a ((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (a ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 4137/105780. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))(^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)) REDUCED to normal form. ------ 4138/105789. ------ 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)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 4139/105807. ------ 1. ==[ start ]==> (((^a.a)(a a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.(y y)))) 3. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 4140/105816. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 4141/105834. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 4142/105843. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 4143/105870. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 4144/105897. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 4145/105924. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(z z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 4146/105942. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z)) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) a)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 4147/105969. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.a) b)) 3. ==[ beta ]==> ((^y.y)((^z.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 4148/105996. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 4149/106014. ------ 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 (^x.x)))((a a) a)) REDUCED to normal form. ------ 4150/106032. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 4151/106077. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 4152/106104. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.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. ------ 4153/106113. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (^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. ------ 4154/106140. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(^a.a))) 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. ------ 4155/106158. ------ 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. ------ 4156/106167. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 4157/106194. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(^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. ------ 4158/106239. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 4159/106257. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 4160/106311. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b b)) 3. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 4161/106329. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(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. ------ 4162/106347. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z)) a)) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z)) a)) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y)) a)) 5. ==[ beta ]==> (((a (^y.y)) a)((a (^y.y)) a)) 6. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y)) a)) REDUCED to normal form. ------ 4163/106374. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 4164/106410. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (^a.a))) 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. ------ 4165/106428. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z) 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. ------ 4166/106437. ------ 1. ==[ start ]==> (((a (a a)) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 4167/106455. ------ 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. ------ 4168/106464. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 4169/106482. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 4170/106491. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 4171/106518. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 4172/106535. ------ 1. ==[ start ]==> (^a.((^a.(a a))(a a))) 2. ==[ alpha ]==> (^x.((^y.(y y))(x x))) 3. ==[ beta ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 4173/106536. ------ 1. ==[ start ]==> (a ((^a.(a a))(a a))) 2. ==[ alpha ]==> (a ((^x.(x x))(a a))) 3. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 4174/107133. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(a (^a.a)))) 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 (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 4175/107334. ------ 1. ==[ start ]==> (((^a.(a a))(a a)) a) 2. ==[ alpha ]==> (((^x.(x x))(a a)) a) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 4176/107340. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 3. ==[ beta ]==> ((^y.(y y))(a a)) 4. ==[ alpha ]==> ((^x.(x x))(a a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 4177/107367. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.a)(a (^z.z)))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.a)(a (^y.y)))((^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) REDUCED to normal form. ------ 4178/107394. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 4179/107475. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^z.a)(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (a (^x1.x1)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 4180/107541. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z (z z)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 4181/107592. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (^x.((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 4182/107640. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 4183/107664. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(a a))) 3. ==[ eta ]==> ((^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. ------ 4184/107712. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.a))) REDUCED to normal form. ------ 4185/107835. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4186/107883. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 4187/107934. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(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. ------ 4188/107937. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(a (^y.y)))) REDUCED to normal form. ------ 4189/108036. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.b)) 2. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 4190/108081. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.b)) 3. ==[ beta ]==> ((^y.y)(^x1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 4191/108090. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 4192/108117. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 4193/108135. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.y)) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 4194/108147. ------ 1. ==[ start ]==> ((a a)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a a)((^x.(x x))(a a))) 3. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 4195/108165. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (a (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 4196/108174. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 4197/108192. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 4198/108201. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 4199/108219. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 4200/108246. ------ 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. ------ 4201/108255. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^y.y))) 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. ------ 4202/108273. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) a) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z) a) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 5. ==[ beta ]==> (((^y.y) a) b) 6. ==[ alpha ]==> (((^x.x) a) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 4203/108282. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.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. ------ 4204/108300. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a)) c)) 2. ==[ alpha ]==> (((a a) b)((a (^x.x)) c)) REDUCED to normal form. ------ 4205/108318. ------ 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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 4206/108345. ------ 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. ------ 4207/108354. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 4208/108372. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a a))) 5. ==[ beta ]==> (((^y.y) a)(a a)) 6. ==[ alpha ]==> (((^x.x) a)(a a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 4209/108381. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 4210/108399. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 4211/108417. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 4212/108444. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(y y)))) REDUCED to normal form. ------ 4213/108471. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(a a))) 3. ==[ beta ]==> ((a a)((^y.a)(a a))) 4. ==[ alpha ]==> ((a a)((^x.a)(a a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 4214/108480. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c b)) 3. ==[ beta ]==> ((^y.a)(c b)) 4. ==[ alpha ]==> ((^x.a)(c b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 4215/108507. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 4216/108516. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.a))) REDUCED to normal form. ------ 4217/108543. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a) a)) 3. ==[ beta ]==> ((a a)(((^y.y) a) a)) 4. ==[ alpha ]==> ((a a)(((^x.x) a) a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 4218/108570. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y)) b)) REDUCED to normal form. ------ 4219/108588. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 4220/108624. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^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. ------ 4221/108642. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 4222/108660. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 4223/108687. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.a))) REDUCED to normal form. ------ 4224/108714. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 4225/108732. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 4226/108741. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)(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. ------ 4227/108777. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b (a a))) 3. ==[ beta ]==> ((^y.y)(b (a a))) 4. ==[ alpha ]==> ((^x.x)(b (a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 4228/108813. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 4229/108831. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((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. ------ 4230/108840. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a) b)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x) b)) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 4231/108858. ------ 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. ------ 4232/108867. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 4233/108885. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 4234/108894. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a) a)) REDUCED to normal form. ------ 4235/108921. ------ 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. ------ 4236/108939. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(a a)) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 4237/108947. ------ 1. ==[ start ]==> (^a.((a (a a))(^a.a))) 2. ==[ alpha ]==> (^x.((x (x x))(^y.y))) REDUCED to normal form. ------ 4238/108948. ------ 1. ==[ start ]==> (a ((a (a a))(^a.a))) 2. ==[ alpha ]==> (a ((a (a a))(^x.x))) REDUCED to normal form. ------ 4239/109041. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(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. ------ 4240/109746. ------ 1. ==[ start ]==> (((^a.(a a))(a a)) b) 2. ==[ alpha ]==> (((^x.(x x))(a a)) b) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 4241/109755. ------ 1. ==[ start ]==> (((a (a a))(^a.a)) a) 2. ==[ alpha ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 4242/109761. ------ 1. ==[ start ]==> ((^a.a)((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 4243/109770. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4244/109788. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.x1)))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 4245/109815. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 4246/109851. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4247/109854. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 4248/109896. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> ((((^z.z) a) b)(^y.y)) 4. ==[ alpha ]==> ((((^x.x) a) b)(^y.y)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 4249/109962. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 4250/109971. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 4251/110013. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(c (^y.(^z.z)))) REDUCED to normal form. ------ 4252/110052. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 4253/110085. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) 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. ------ 4254/110241. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^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. ------ 4255/110304. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.c)) REDUCED to normal form. ------ 4256/110355. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a)(^y.(^z.z)))((a a)(^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.(^x1.x1)))((a a)(^y1.(^z1.z1))))) REDUCED to normal form. ------ 4257/110367. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(a (^a.a)))) 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 (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 4258/110430. ------ 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. ------ 4259/110475. ------ 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. ------ 4260/110502. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^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)) REDUCED to normal form. ------ 4261/110511. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.b)) REDUCED to normal form. ------ 4262/110538. ------ 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. ------ 4263/110556. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.z))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 4264/110565. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 4265/110577. ------ 1. ==[ start ]==> ((a a)((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 4266/110586. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 4267/110604. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 4268/110613. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 4269/110631. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 4270/110640. ------ 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)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 4271/110667. ------ 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. ------ 4272/110685. ------ 1. ==[ start ]==> (((a a)(a a))((a (a a)) a)) REDUCED to normal form. ------ 4273/110712. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a) b)) 3. ==[ beta ]==> ((a (a (^x.x)))(a b)) REDUCED to normal form. ------ 4274/110721. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4275/110730. ------ 1. ==[ start ]==> (((a a) b)(c (a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(c (a (^x.x)))) REDUCED to normal form. ------ 4276/110748. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.a))(^b.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. ------ 4277/110757. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b ((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(b a)) REDUCED to normal form. ------ 4278/110775. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^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. ------ 4279/110784. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 4280/110811. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^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. ------ 4281/110829. ------ 1. ==[ start ]==> ((a (^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 4282/110865. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a 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. ------ 4283/110901. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) 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. ------ 4284/110910. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(a a))) 3. ==[ beta ]==> ((^y.a)((^z.a)(a a))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 4285/110937. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4286/110946. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b c)) 2. ==[ alpha ]==> (((a (^x.x)) b)(b c)) REDUCED to normal form. ------ 4287/110991. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(^a.a))) 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. ------ 4288/111000. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (a a))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (a a))) REDUCED to normal form. ------ 4289/111018. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.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. ------ 4290/111027. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (a (^x1.x1)))) REDUCED to normal form. ------ 4291/111054. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(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. ------ 4292/111090. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 4293/111144. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 4294/111162. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b b)) 2. ==[ alpha ]==> (((^x.(x x)) a)(b b)) 3. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 4295/111171. ------ 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. ------ 4296/111180. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(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. ------ 4297/111207. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 4298/111243. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a (a (^y.y)))) 3. ==[ beta ]==> ((a b)(a (a (^y.y)))) 4. ==[ alpha ]==> ((a b)(a (a (^x.x)))) REDUCED to normal form. ------ 4299/111261. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (^z.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (^z.z))) 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. ------ 4300/111270. ------ 1. ==[ start ]==> (((a (a a)) a)((a a)(a a))) REDUCED to normal form. ------ 4301/111288. ------ 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. ------ 4302/111297. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b a)) REDUCED to normal form. ------ 4303/111315. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 4304/111324. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a b)) REDUCED to normal form. ------ 4305/111351. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 4306/111369. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(a (^y.y))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 4307/111378. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 4308/112194. ------ 1. ==[ start ]==> (((a (a a))(^a.a)) b) 2. ==[ alpha ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 4309/112218. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 4310/112263. ------ 1. ==[ start ]==> ((^a.b)(c c)) 2. ==[ alpha ]==> ((^x.b)(c c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 4311/112299. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4312/112311. ------ 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. ------ 4313/112419. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 4314/112461. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a) b)) 3. ==[ beta ]==> (^y.((^z.a) b)) 4. ==[ alpha ]==> (^x.((^y.a) b)) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 4315/112608. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.((^z.z) a))) 3. ==[ beta ]==> ((a a)(^y.((^z.z) a))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y) a))) 5. ==[ beta ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 4316/112689. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^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. ------ 4317/112704. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4318/112803. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b b)) 2. ==[ alpha ]==> ((^x.(x (x x)))(b b)) 3. ==[ beta ]==> ((b b)((b b)(b b))) REDUCED to normal form. ------ 4319/112878. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 4320/112923. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.y)) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 4321/112932. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 4322/112959. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(a a))) REDUCED to normal form. ------ 4323/112986. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 4324/113004. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.a)) 3. ==[ beta ]==> (((a a)(a a))(^y.a)) 4. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 4325/113013. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 4326/113027. ------ 1. ==[ start ]==> (^a.(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 4327/113028. ------ 1. ==[ start ]==> (a (^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 4328/113043. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 4329/113052. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a a))) 3. ==[ beta ]==> (a ((^y.(y y))(a a))) 4. ==[ alpha ]==> (a ((^x.(x x))(a a))) 5. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 4330/113070. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 4331/113079. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 4332/113088. ------ 1. ==[ start ]==> ((a b)(c c)) REDUCED to normal form. ------ 4333/113097. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 4334/113106. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^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. ------ 4335/113124. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 4336/113133. ------ 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)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 4337/113160. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4338/113178. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4339/113187. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 4340/113214. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 4341/113241. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 4342/113259. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(z z)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 4343/113286. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a) b)) 2. ==[ alpha ]==> ((a (^x.a))((^y.a) b)) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 4344/113304. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 4345/113322. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(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. ------ 4346/113331. ------ 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. ------ 4347/113367. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) 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. ------ 4348/113394. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 4349/113403. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 4350/113430. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 4351/113448. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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. ------ 4352/113457. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 4353/113475. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 4354/113484. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.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. ------ 4355/113511. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^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. ------ 4356/113529. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a) a)) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 4357/113547. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(a a))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(a a))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 4358/113574. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 4359/113619. ------ 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 a)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 4360/113628. ------ 1. ==[ start ]==> ((a (a (a a)))(b b)) REDUCED to normal form. ------ 4361/113637. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 4362/113664. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) 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. ------ 4363/113700. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 4364/113718. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4365/113727. ------ 1. ==[ start ]==> (((a (a a)) a)(b (^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)(b (^x.x))) REDUCED to normal form. ------ 4366/113745. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y) b)) 3. ==[ beta ]==> ((a (a a))((^y.y) b)) 4. ==[ alpha ]==> ((a (a a))((^x.x) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 4367/113754. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 4368/113772. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((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. ------ 4369/113781. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 4370/113808. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 4371/113826. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 4372/113835. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 4373/113850. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a))) a) 2. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4374/113852. ------ 1. ==[ start ]==> (^a.(a (^b.(^a.a)))) 2. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 4375/113853. ------ 1. ==[ start ]==> (a (a (^b.(^a.a)))) 2. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 4376/113856. ------ 1. ==[ start ]==> ((^a.a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 4377/114180. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.(x1 x1)))) 3. ==[ eta ]==> ((^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. ------ 4378/114351. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.z)) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4379/114675. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4380/114678. ------ 1. ==[ start ]==> ((a (^b.(^a.a))) a) 2. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 4381/114684. ------ 1. ==[ start ]==> ((^a.a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 4382/114687. ------ 1. ==[ start ]==> ((a a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 4383/114711. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(a a))) 3. ==[ beta ]==> (((^y.(y y))(a a))((^y.(y y))(a a))) 4. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))(a a))) 5. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a a))) 7. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 4384/114738. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 4385/114786. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 4386/114795. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(a (a a)))) REDUCED to normal form. ------ 4387/114819. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^z.(z z))(^x1.x1))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.z)) 5. ==[ beta ]==> (((^y.y)(^y.y))(^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. ------ 4388/114912. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(z (z z)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 4389/114936. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)(a a))) 3. ==[ beta ]==> (^y.(((^z.z) a)(a a))) 4. ==[ alpha ]==> (^x.(((^y.y) a)(a a))) 5. ==[ beta ]==> (^x.(a (a a))) REDUCED to normal form. ------ 4390/115008. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (^z.(z z)))) 3. ==[ eta ]==> ((^y.y)(a (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 4391/115011. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 4392/115179. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a ((^z.z) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4393/115182. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 4394/115254. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.y))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.y))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.x))) REDUCED to normal form. ------ 4395/115278. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.(^x1.x1))(a a))((^y1.(^z1.z1))(a a)))) 5. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a a))((^y1.(^z1.z1))(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a)))) 7. ==[ beta ]==> (((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a))) 8. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 11. ==[ beta ]==> ((^y.(^z.z))(a a)) 12. ==[ alpha ]==> ((^x.(^y.y))(a a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4396/115317. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.c)) 3. ==[ beta ]==> ((^y.y)(^x1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 4397/115353. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.b)) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.b)) 3. ==[ beta ]==> ((a b)(^y.b)) 4. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 4398/115371. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(z (^x1.x1)))) 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))) REDUCED to normal form. ------ 4399/115407. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 4400/115434. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 4401/115479. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(y y))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y y))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 4402/115488. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 4403/115503. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4404/115506. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 4405/115518. ------ 1. ==[ start ]==> ((a a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 4406/115536. ------ 1. ==[ start ]==> (((^a.a) a)((a (a a))(^a.a))) 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. ------ 4407/115545. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))(a a))) 3. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 4408/115563. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 4409/115572. ------ 1. ==[ start ]==> ((a b)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 4410/115590. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 4411/115617. ------ 1. ==[ start ]==> (((^a.a) b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((a a)(^y.(y y)))) 3. ==[ beta ]==> (b ((a a)(^y.(y y)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 4412/115626. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 4413/115644. ------ 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 (a a)) a)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 4414/115653. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(^z.z))) 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. ------ 4415/115671. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a) b)) 3. ==[ beta ]==> (((a a) b)(a b)) REDUCED to normal form. ------ 4416/115716. ------ 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 (^x.x))(b a)) REDUCED to normal form. ------ 4417/115743. ------ 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 (a a)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 4418/115752. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 4419/115770. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a (^x.a))(a (a a))) REDUCED to normal form. ------ 4420/115806. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4421/115815. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.a))) REDUCED to normal form. ------ 4422/115842. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.(y y)))) 3. ==[ beta ]==> ((a a)(a (^y.(y y)))) 4. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 4423/115887. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 4424/115914. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a a)(^y.a))) 3. ==[ beta ]==> ((a a)((a a)(^y.a))) 4. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 4425/115941. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a) a)) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 4426/115968. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1)) b)) REDUCED to normal form. ------ 4427/116013. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 4428/116058. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 4429/116085. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(a (^y.a))) 3. ==[ beta ]==> ((a (a a))(a (^y.a))) 4. ==[ alpha ]==> ((a (a a))(a (^x.a))) REDUCED to normal form. ------ 4430/116103. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 4431/116112. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 4432/116121. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b b)) 3. ==[ beta ]==> ((^y.(y y))(b b)) 4. ==[ alpha ]==> ((^x.(x x))(b b)) 5. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 4433/116148. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a c)) 3. ==[ beta ]==> ((^y.y)(a c)) 4. ==[ alpha ]==> ((^x.x)(a c)) 5. ==[ beta ]==> (a c) REDUCED to normal form. ------ 4434/116184. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a) b)) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a) b)) 3. ==[ beta ]==> ((a b)((a a) b)) REDUCED to normal form. ------ 4435/116202. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (a (^z.z)))) 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. ------ 4436/116211. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 4437/116229. ------ 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. ------ 4438/116238. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) b)) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 4439/116256. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 4440/116265. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.z))) REDUCED to normal form. ------ 4441/116292. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 4442/116310. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(a (a a))) 3. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 4443/116319. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y) a)) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 4444/116334. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a))) b) 2. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4445/116337. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 4446/116358. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4447/116844. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4448/117168. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4449/117171. ------ 1. ==[ start ]==> ((a (^b.(^a.a))) b) 2. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 4450/117195. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4451/117198. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 4452/117213. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.y))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 4453/117240. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 4454/117276. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4455/117321. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.(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. ------ 4456/117414. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 4457/117423. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z (z z)))) REDUCED to normal form. ------ 4458/117522. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.(z z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 4459/117603. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z) a))) 5. ==[ beta ]==> (a (^y.((^z.z) a))) 6. ==[ alpha ]==> (a (^x.((^y.y) a))) 7. ==[ beta ]==> (a (^x.a)) REDUCED to normal form. ------ 4460/117681. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(^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. ------ 4461/117684. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 4462/117756. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.c)) 3. ==[ beta ]==> ((a (a a))(^y.c)) 4. ==[ alpha ]==> ((a (a a))(^x.c)) REDUCED to normal form. ------ 4463/117780. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))(^a.a))) 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. ------ 4464/117819. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(a (^a.a)))) 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))) REDUCED to normal form. ------ 4465/117873. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(^y1.y1)))) 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. ------ 4466/117882. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 4467/117927. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^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. ------ 4468/117963. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 4469/117981. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.z))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 4470/117990. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y y))) REDUCED to normal form. ------ 4471/118005. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4472/118008. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 4473/118038. ------ 1. ==[ start ]==> ((a (^a.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 4474/118056. ------ 1. ==[ start ]==> ((a (a a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 4475/118065. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 5. ==[ beta ]==> ((^y.(y y))(a a)) 6. ==[ alpha ]==> ((^x.(x x))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 4476/118083. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 4477/118092. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 4478/118119. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 4479/118137. ------ 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. ------ 4480/118164. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 4481/118173. ------ 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 ]==> ((^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. ------ 4482/118200. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 4483/118227. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 4484/118236. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 4485/118254. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4486/118263. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a (a a)))) REDUCED to normal form. ------ 4487/118299. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a) b)) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 4488/118317. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 4489/118362. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a (^z.(z z)))) 3. ==[ beta ]==> ((^y.a)(a (^z.(z z)))) 4. ==[ alpha ]==> ((^x.a)(a (^y.(y y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 4490/118389. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.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 REDUCED to normal form. ------ 4491/118398. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c b)) 2. ==[ alpha ]==> (((a (^x.x)) b)(c b)) REDUCED to normal form. ------ 4492/118425. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b c)) 2. ==[ alpha ]==> ((((^x.x) a) a)(b c)) 3. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 4493/118443. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)((^a.a) 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 ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 4494/118470. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(^a.a))) 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. ------ 4495/118506. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 4496/118524. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(^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. ------ 4497/118542. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a) a)) 3. ==[ beta ]==> (((a a) a)((^y.a) a)) 4. ==[ alpha ]==> (((a a) a)((^x.a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 4498/118569. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 4499/118623. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 4500/118632. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((^y.(^z.z))(a a))((^y.(^z.z))(a a))) 6. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 9. ==[ beta ]==> ((^y.(^z.z))(a a)) 10. ==[ alpha ]==> ((^x.(^y.y))(a a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4501/118659. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(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. ------ 4502/118695. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b (a a))) 3. ==[ beta ]==> ((a b)(b (a a))) REDUCED to normal form. ------ 4503/118713. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4504/118722. ------ 1. ==[ start ]==> (((a (a a)) a)(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(a (a (^x.x)))) REDUCED to normal form. ------ 4505/118740. ------ 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. ------ 4506/118749. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 4507/118767. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a (^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. ------ 4508/118776. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b a)) REDUCED to normal form. ------ 4509/118803. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 4510/118821. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(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. ------ 4511/118830. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (a a))) REDUCED to normal form. ------ 4512/118845. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a))) c) 2. ==[ alpha ]==> ((^x.(^y.(^z.z))) c) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4513/118848. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 4514/118865. ------ 1. ==[ start ]==> (^a.((a a)(a (a a)))) 2. ==[ alpha ]==> (^x.((x x)(x (x x)))) REDUCED to normal form. ------ 4515/118866. ------ 1. ==[ start ]==> (a ((a a)(a (a a)))) REDUCED to normal form. ------ 4516/119688. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4517/119691. ------ 1. ==[ start ]==> ((a (^b.(^a.a))) c) 2. ==[ alpha ]==> ((a (^x.(^y.y))) c) REDUCED to normal form. ------ 4518/119709. ------ 1. ==[ start ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 4519/119715. ------ 1. ==[ start ]==> ((^a.a)((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 3. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 4520/119736. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 4521/119805. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4522/119844. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 4523/119952. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 4524/119967. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z)) a)) 3. ==[ beta ]==> (^y.((^z.(z z)) a)) 4. ==[ alpha ]==> (^x.((^y.(y y)) a)) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 4525/120039. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)((^z.z) a))) 3. ==[ eta ]==> ((^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. ------ 4526/120141. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.a))(^y.a)) REDUCED to normal form. ------ 4527/120231. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)((^x.x) 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. ------ 4528/120303. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.y))) 3. ==[ beta ]==> ((a a)(^y.(^z.y))) 4. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 4529/120348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 4530/120411. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 4531/120456. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4532/120465. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 4533/120492. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 4534/120519. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 4535/120534. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4536/120537. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 4537/120555. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.a)) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 4538/120567. ------ 1. ==[ start ]==> ((a a)((a a)(a (a a)))) REDUCED to normal form. ------ 4539/120585. ------ 1. ==[ start ]==> (((^a.a) a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 3. ==[ beta ]==> (a (a (^y.(^z.z)))) 4. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 4540/120603. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 4541/120612. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))(a a))) 3. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 4542/120630. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 4543/120639. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.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. ------ 4544/120657. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 4545/120666. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 4546/120693. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 4547/120711. ------ 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. ------ 4548/120720. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 4549/120738. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 4550/120747. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 4551/120774. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 4552/120801. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 4553/120819. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y)) a)) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 4554/120837. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 4555/120855. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 4556/120864. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 4557/120891. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 4558/120927. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) 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. ------ 4559/120936. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(a a))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 4560/120963. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 4561/120981. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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. ------ 4562/120990. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 4563/121008. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^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. ------ 4564/121017. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)(^a.a))) 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. ------ 4565/121044. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^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. ------ 4566/121080. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a ((^y.y) a))) 3. ==[ beta ]==> (((a a) a)(a ((^y.y) a))) 4. ==[ alpha ]==> (((a a) a)(a ((^x.x) a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 4567/121107. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 4568/121134. ------ 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. ------ 4569/121152. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a (^y.a))) 3. ==[ beta ]==> ((a a)(a (^y.a))) 4. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 4570/121170. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))(^a.a))) 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. ------ 4571/121197. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 4572/121233. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 4573/121251. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((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. ------ 4574/121260. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)(^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. ------ 4575/121278. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 4576/121287. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 4577/121305. ------ 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)((^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. ------ 4578/121314. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 4579/121341. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 4580/121359. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a a) a)) 3. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 4581/121368. ------ 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. ------ 4582/121386. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 4583/121404. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 4584/121412. ------ 1. ==[ start ]==> (^a.(b (^a.(a a)))) 2. ==[ alpha ]==> (^x.(b (^y.(y y)))) REDUCED to normal form. ------ 4585/121413. ------ 1. ==[ start ]==> (a (b (^a.(a a)))) 2. ==[ alpha ]==> (a (b (^x.(x x)))) REDUCED to normal form. ------ 4586/121443. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4587/121551. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> ((^z.(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((^x.(a (a a)))(^y.y)) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 4588/121668. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(z (z z)))) 3. ==[ beta ]==> (^y.(^z.(z (z z)))) 4. ==[ alpha ]==> (^x.(^y.(y (y y)))) REDUCED to normal form. ------ 4589/122010. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.y))) 3. ==[ beta ]==> ((^y.(^z.y))((^y.(^z.y))(^y.(^z.y)))) 4. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.z))(^y1.(^z1.y1)))) 5. ==[ beta ]==> (^y.((^z.(^x1.z))(^y1.(^z1.y1)))) 6. ==[ alpha ]==> (^x.((^y.(^z.y))(^x1.(^y1.x1)))) 7. ==[ beta ]==> (^x.(^z.(^x1.(^y1.x1)))) 8. ==[ alpha ]==> (^x.(^y.(^z.(^x1.z)))) REDUCED to normal form. ------ 4590/122235. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4591/122256. ------ 1. ==[ start ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 4592/122271. ------ 1. ==[ start ]==> ((^a.a)(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 3. ==[ beta ]==> (b (^y.(y y))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 4593/122280. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4594/122298. ------ 1. ==[ start ]==> ((^a.(a a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 4595/122301. ------ 1. ==[ start ]==> ((a (a a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 4596/122325. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 4597/122406. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((^z.z)(a (a a)))(^y.y)) 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. ------ 4598/122409. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 4599/122523. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (a (a a)))) 3. ==[ beta ]==> (^y.(a (a (a a)))) 4. ==[ alpha ]==> (^x.(a (a (a a)))) REDUCED to normal form. ------ 4600/122526. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(y (y y)))) REDUCED to normal form. ------ 4601/122595. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (^z.a))) 3. ==[ eta ]==> ((^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. ------ 4602/122607. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.a)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.a)(^y.((^z.z) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 4603/122697. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 4604/122766. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (a (^z.z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4605/122787. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.a))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.a))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.a))) REDUCED to normal form. ------ 4606/122859. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.c)) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.c)) 3. ==[ beta ]==> ((a a)(^y.c)) 4. ==[ alpha ]==> ((a a)(^x.c)) REDUCED to normal form. ------ 4607/122865. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (^y.a))) 3. ==[ beta ]==> ((a (^y.a))((a (^y.a))(a (^y.a)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.a))(a (^z.a)))) REDUCED to normal form. ------ 4608/122868. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.x))) REDUCED to normal form. ------ 4609/122985. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 4610/123021. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 4611/123066. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.b)) 2. ==[ alpha ]==> (((^x.(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. ------ 4612/123090. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4613/123093. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 4614/123111. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 4615/123132. ------ 1. ==[ start ]==> ((a a)(b (^a.(a a)))) 2. ==[ alpha ]==> ((a a)(b (^x.(x x)))) REDUCED to normal form. ------ 4616/123141. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 4617/123159. ------ 1. ==[ start ]==> ((a (a a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 4618/123177. ------ 1. ==[ start ]==> (((a a) a)((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a) a)((a (a a))(^x.x))) REDUCED to normal form. ------ 4619/123186. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(a a))) 3. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 4620/123204. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 4621/123231. ------ 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. ------ 4622/123240. ------ 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))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 4623/123258. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 4624/123267. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (a a))) REDUCED to normal form. ------ 4625/123285. ------ 1. ==[ start ]==> (((a a) b)((a (a a)) a)) REDUCED to normal form. ------ 4626/123312. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a) b)) 3. ==[ beta ]==> (((a (^x.x)) a)(a b)) REDUCED to normal form. ------ 4627/123357. ------ 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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 4628/123384. ------ 1. ==[ start ]==> ((a (^b.a))(a (a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))(a (a (a a)))) REDUCED to normal form. ------ 4629/123420. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a) b)) 3. ==[ beta ]==> ((^y.y)((^z.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 4630/123456. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.a))) 3. ==[ beta ]==> ((a a)(b (^y.a))) 4. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 4631/123465. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)((^z.z) a))) 3. ==[ beta ]==> ((^y.a)((a a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.a)((a a)((^y.y) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 4632/123501. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 4633/123528. ------ 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. ------ 4634/123546. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b c)) 3. ==[ beta ]==> (((^y.y) a)(b c)) 4. ==[ alpha ]==> (((^x.x) a)(b c)) 5. ==[ beta ]==> (a (b c)) REDUCED to normal form. ------ 4635/123555. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 4636/123582. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) 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. ------ 4637/123609. ------ 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)) REDUCED to normal form. ------ 4638/123627. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (a (^y.y)))) REDUCED to normal form. ------ 4639/123645. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(^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. ------ 4640/123699. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 4641/123726. ------ 1. ==[ start ]==> ((a (a (a a)))(a (^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))(a (^x.a))) REDUCED to normal form. ------ 4642/123762. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 4643/123798. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y)) a)) 3. ==[ beta ]==> ((a b)((a (^y.y)) a)) 4. ==[ alpha ]==> ((a b)((a (^x.x)) a)) REDUCED to normal form. ------ 4644/123816. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (a a))) 5. ==[ beta ]==> ((^y.y)(b (a a))) 6. ==[ alpha ]==> ((^x.x)(b (a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 4645/123825. ------ 1. ==[ start ]==> (((a (a a)) a)((a a) b)) REDUCED to normal form. ------ 4646/123843. ------ 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. ------ 4647/123852. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 4648/123870. ------ 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)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 4649/123879. ------ 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))(^y.a)) b) REDUCED to normal form. ------ 4650/123906. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 4651/123924. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a b)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(a b)) 3. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 4652/123933. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a) a)) REDUCED to normal form. ------ 4653/123951. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 4654/123969. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 4655/124242. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.(^y.(^z.(z z)))) REDUCED to normal form. ------ 4656/124584. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.c)) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.c)) 3. ==[ beta ]==> ((^y.c)((^y.c)(^y.c))) 4. ==[ alpha ]==> ((^x.c)((^y.c)(^z.c))) 5. ==[ beta ]==> c REDUCED to normal form. ------ 4657/124809. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4658/124863. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4659/124893. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(^b.(^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. ------ 4660/124908. ------ 1. ==[ start ]==> ((^a.b)((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.b)((a (a a))(^y.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 4661/124944. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.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. ------ 4662/124989. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^z.(z z)))(^y.y)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 4663/125001. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(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. ------ 4664/125106. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (^x.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 4665/125109. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 4666/125217. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 4667/125298. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 4668/125349. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4669/125451. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.c)) 2. ==[ alpha ]==> ((a (a (a a)))(^x.c)) REDUCED to normal form. ------ 4670/125460. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.y))) 5. ==[ beta ]==> ((^y.(^z.y))(^y.(^z.y))) 6. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.z))) 7. ==[ beta ]==> (^y.(^z.(^x1.z))) 8. ==[ alpha ]==> (^x.(^y.(^z.y))) REDUCED to normal form. ------ 4671/125523. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.c)) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.c)) 3. ==[ beta ]==> ((a b)(^y.c)) 4. ==[ alpha ]==> ((a b)(^x.c)) REDUCED to normal form. ------ 4672/125568. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(^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. ------ 4673/125577. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 4674/125604. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(a a))) REDUCED to normal form. ------ 4675/125649. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(a a))) 3. ==[ beta ]==> (((a a)(a a))(^y.(a a))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 4676/125658. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.b)) REDUCED to normal form. ------ 4677/125673. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(^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. ------ 4678/125676. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 4679/125694. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.a)) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.a)) REDUCED to normal form. ------ 4680/125733. ------ 1. ==[ start ]==> ((a (^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 4681/125742. ------ 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. ------ 4682/125760. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a (^b.(^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. ------ 4683/125778. ------ 1. ==[ start ]==> ((a b)((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a b)((a (a a))(^x.x))) REDUCED to normal form. ------ 4684/125787. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a a))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 4685/125814. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 4686/125823. ------ 1. ==[ start ]==> (((^a.a) b)(c c)) 2. ==[ alpha ]==> (((^x.x) b)(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 4687/125832. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 4688/125859. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 4689/125868. ------ 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 ]==> ((^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. ------ 4690/125895. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4691/125922. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 4692/125949. ------ 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)((^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. ------ 4693/125958. ------ 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))(^y.y))(b a)) REDUCED to normal form. ------ 4694/125976. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.a))(^z.(z z))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(y y))) REDUCED to normal form. ------ 4695/125994. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 4696/126012. ------ 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)(((^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. ------ 4697/126021. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a) b)) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 4698/126057. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.a))) 3. ==[ beta ]==> ((^y.a)(b (^z.a))) 4. ==[ alpha ]==> ((^x.a)(b (^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 4699/126084. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 4700/126138. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 4701/126147. ------ 1. ==[ start ]==> (((a a)(^b.a))(b c)) 2. ==[ alpha ]==> (((a a)(^x.a))(b c)) REDUCED to normal form. ------ 4702/126165. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 4703/126219. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 4704/126264. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 4705/126291. ------ 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))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 4706/126309. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 4707/126327. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (^z.a))) 3. ==[ beta ]==> ((^y.(y y))(a (^z.a))) 4. ==[ alpha ]==> ((^x.(x x))(a (^y.a))) 5. ==[ beta ]==> ((a (^y.a))(a (^y.a))) 6. ==[ alpha ]==> ((a (^x.a))(a (^y.a))) REDUCED to normal form. ------ 4708/126354. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4709/126390. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a c)) 2. ==[ alpha ]==> ((((^x.x) a) b)(a c)) 3. ==[ beta ]==> ((a b)(a c)) REDUCED to normal form. ------ 4710/126408. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.y1))) 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. ------ 4711/126417. ------ 1. ==[ start ]==> (((a (a a)) a)(b (a a))) REDUCED to normal form. ------ 4712/126435. ------ 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)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 4713/126444. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (a (^y.y)))) REDUCED to normal form. ------ 4714/126462. ------ 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)(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 4715/126471. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(a a))) REDUCED to normal form. ------ 4716/126498. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 4717/126516. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(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. ------ 4718/126525. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a b)) REDUCED to normal form. ------ 4719/126543. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 4720/126561. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.a) a)) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x) a)) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 4721/126587. ------ 1. ==[ start ]==> (^a.((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (^x.((x (^y.y))((^z.z) x))) 3. ==[ beta ]==> (^x.((x (^y.y)) x)) REDUCED to normal form. ------ 4722/126588. ------ 1. ==[ start ]==> (a ((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (a ((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> (a ((a (^x.x)) a)) REDUCED to normal form. ------ 4723/126843. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.d)) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.d)) 3. ==[ beta ]==> (^y.(^z.d)) 4. ==[ alpha ]==> (^x.(^y.d)) REDUCED to normal form. ------ 4724/127410. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4725/127458. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a)) a) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a)) a) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 4726/127464. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))((^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. ------ 4727/127491. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 4728/127512. ------ 1. ==[ start ]==> (((a a) a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 4729/127554. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4730/127620. ------ 1. ==[ start ]==> (((a a) b)(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(a (a a)))) REDUCED to normal form. ------ 4731/127719. ------ 1. ==[ start ]==> ((a (^b.a))(^c.d)) 2. ==[ alpha ]==> ((a (^x.a))(^y.d)) REDUCED to normal form. ------ 4732/127737. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y (y y)))) REDUCED to normal form. ------ 4733/127788. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))(a (^x1.x1)))) 3. ==[ eta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 4734/127836. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(z z)))) REDUCED to normal form. ------ 4735/127917. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 4736/127959. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z)) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4737/128007. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 4738/128058. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(a (^y.y)))((a a)(a (^z.z))))) REDUCED to normal form. ------ 4739/128070. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.c)) 3. ==[ beta ]==> ((^y.(y y))(^z.c)) 4. ==[ alpha ]==> ((^x.(x x))(^y.c)) 5. ==[ beta ]==> ((^y.c)(^y.c)) 6. ==[ alpha ]==> ((^x.c)(^y.c)) 7. ==[ beta ]==> c REDUCED to normal form. ------ 4740/128133. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 4741/128187. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 4742/128241. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 4743/128268. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(a a))) REDUCED to normal form. ------ 4744/128283. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4745/128286. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 4746/128304. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(x x))) REDUCED to normal form. ------ 4747/128331. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.z)) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 4748/128343. ------ 1. ==[ start ]==> ((a a)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 4749/128361. ------ 1. ==[ start ]==> (((^a.a) a)(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(b (^y.(y y)))) 3. ==[ beta ]==> (a (b (^y.(y y)))) 4. ==[ alpha ]==> (a (b (^x.(x x)))) REDUCED to normal form. ------ 4750/128370. ------ 1. ==[ start ]==> ((a (a a))((a a)(a (a a)))) REDUCED to normal form. ------ 4751/128388. ------ 1. ==[ start ]==> (((a a) a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 4752/128406. ------ 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. ------ 4753/128415. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 4754/128433. ------ 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. ------ 4755/128442. ------ 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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 4756/128469. ------ 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)((^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. ------ 4757/128487. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4758/128496. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a a) b)(a (a a))) REDUCED to normal form. ------ 4759/128514. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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. ------ 4760/128523. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^z.z))) 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. ------ 4761/128541. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a) b)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a) b)) 5. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 4762/128550. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 4763/128577. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 4764/128613. ------ 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. ------ 4765/128640. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (a a))) REDUCED to normal form. ------ 4766/128667. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 4767/128676. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 4768/128712. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(y y)))) REDUCED to normal form. ------ 4769/128739. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(a a))) 3. ==[ beta ]==> ((a a)((^y.a)(a a))) 4. ==[ alpha ]==> ((a a)((^x.a)(a a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 4770/128757. ------ 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. ------ 4771/128766. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 4772/128784. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 4773/128793. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 4774/128820. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^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. ------ 4775/128838. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y)) b)) REDUCED to normal form. ------ 4776/128856. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (a (^y.y)))) 3. ==[ beta ]==> (((a a) a)(b (a (^y.y)))) 4. ==[ alpha ]==> (((a a) a)(b (a (^x.x)))) REDUCED to normal form. ------ 4777/128883. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 4778/128910. ------ 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))) REDUCED to normal form. ------ 4779/128928. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 4780/128937. ------ 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. ------ 4781/128973. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((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. ------ 4782/129009. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(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. ------ 4783/129027. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z)) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((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) REDUCED to normal form. ------ 4784/129036. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))(^a.a))) 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. ------ 4785/129054. ------ 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. ------ 4786/129063. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(^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. ------ 4787/129081. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 4788/129090. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.z))) REDUCED to normal form. ------ 4789/129117. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 4790/129135. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 4791/129144. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)(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. ------ 4792/129162. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 4793/129180. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a (a a))) REDUCED to normal form. ------ 4794/129207. ------ 1. ==[ start ]==> (((a (^a.a))((^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. ------ 4795/129273. ------ 1. ==[ start ]==> ((^a.b)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 4796/130038. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4797/130086. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a)) b) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a)) b) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 4798/130110. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4799/130128. ------ 1. ==[ start ]==> ((^a.(a a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(b (^y.(y y)))) 3. ==[ beta ]==> ((b (^y.(y y)))(b (^y.(y y)))) 4. ==[ alpha ]==> ((b (^x.(x x)))(b (^y.(y y)))) REDUCED to normal form. ------ 4800/130155. ------ 1. ==[ start ]==> ((^a.b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(a (^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 4801/130158. ------ 1. ==[ start ]==> ((a b)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 4802/130236. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^z.(^x1.x1))((^y1.y1) a))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4803/130257. ------ 1. ==[ start ]==> (((a a) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 4804/130353. ------ 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))) 5. ==[ beta ]==> (^x.(b a)) REDUCED to normal form. ------ 4805/130374. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 4806/130644. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 4807/130695. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((b (^y.(^z.z)))(b (^y.(^z.z))))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((b (^z.(^x1.x1)))(b (^y1.(^z1.z1))))) REDUCED to normal form. ------ 4808/130770. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 4809/130842. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^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. ------ 4810/130878. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 4811/130920. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4812/130923. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 4813/130941. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 4814/130968. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 4815/130998. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 4816/131016. ------ 1. ==[ start ]==> ((a (a a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))(b (^x.(x x)))) REDUCED to normal form. ------ 4817/131025. ------ 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. ------ 4818/131043. ------ 1. ==[ start ]==> ((a b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 4819/131061. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 4820/131088. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 4821/131097. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 4822/131115. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((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. ------ 4823/131124. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^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. ------ 4824/131142. ------ 1. ==[ start ]==> (((a a) b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 4825/131169. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (a a)) a)) REDUCED to normal form. ------ 4826/131196. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 4827/131241. ------ 1. ==[ start ]==> ((a (^b.a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))(b ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.a))(b a)) REDUCED to normal form. ------ 4828/131259. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 4829/131277. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 4830/131322. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 4831/131349. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 4832/131385. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 4833/131412. ------ 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. ------ 4834/131430. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 4835/131439. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.a))) REDUCED to normal form. ------ 4836/131466. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^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. ------ 4837/131502. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 4838/131529. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(^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. ------ 4839/131574. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 4840/131583. ------ 1. ==[ start ]==> ((a (a (a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 4841/131592. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.(y y))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a (^y.y)))((a a)(a (^y.y)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 4842/131619. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c a)) 3. ==[ beta ]==> ((^y.y)(c a)) 4. ==[ alpha ]==> ((^x.x)(c a)) 5. ==[ beta ]==> (c a) REDUCED to normal form. ------ 4843/131655. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 4844/131682. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.x)) a)) REDUCED to normal form. ------ 4845/131700. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b (a a))) 3. ==[ beta ]==> ((a (a a))(b (a a))) REDUCED to normal form. ------ 4846/131709. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a) b)) REDUCED to normal form. ------ 4847/131727. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 4848/131736. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 4849/131763. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 4850/131781. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b a)) 3. ==[ beta ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 4851/131790. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 4852/131808. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 4853/131826. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.a)(^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. ------ 4854/131853. ------ 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 (^x.x)) a)(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 4855/131870. ------ 1. ==[ start ]==> (^a.((^b.a) c)) 2. ==[ alpha ]==> (^x.((^y.x) c)) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 4856/131871. ------ 1. ==[ start ]==> (a ((^b.a) c)) 2. ==[ alpha ]==> (a ((^x.a) c)) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 4857/132693. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4858/132765. ------ 1. ==[ start ]==> ((^a.a)((^b.a) c)) 2. ==[ alpha ]==> ((^x.x)((^y.a) c)) 3. ==[ beta ]==> ((^y.a) c) 4. ==[ alpha ]==> ((^x.a) c) 5. ==[ beta ]==> a REDUCED to normal form. ------ 4859/132831. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 4860/132855. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4861/132900. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^z.z))(^x1.a))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 4862/132939. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^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. ------ 4863/133017. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4864/133056. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(z (z z)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 4865/133089. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a) b)) 3. ==[ eta ]==> ((^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. ------ 4866/133137. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^y.a)) REDUCED to normal form. ------ 4867/133260. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4868/133359. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((^y.(^z.z)) b)(((^y.(^z.z)) b)((^y.(^z.z)) b))) 4. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.(^x1.x1)) b)((^y1.(^z1.z1)) b))) 5. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) b)((^y1.(^z1.z1)) b))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) b)((^x1.(^y1.y1)) b))) 7. ==[ beta ]==> (((^y.(^z.z)) b)((^x1.(^y1.y1)) b)) 8. ==[ alpha ]==> (((^x.(^y.y)) b)((^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 ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4869/133398. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 4870/133452. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(a (^a.a)))) 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))) REDUCED to normal form. ------ 4871/133506. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 4872/133515. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 4873/133560. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 4874/133584. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4875/133587. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 4876/133632. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.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. ------ 4877/133662. ------ 1. ==[ start ]==> ((a a)((^b.a) c)) 2. ==[ alpha ]==> ((a a)((^x.a) c)) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 4878/133680. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (a ((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (a ((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (a ((a (^x.x)) a)) REDUCED to normal form. ------ 4879/133698. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 4880/133707. ------ 1. ==[ start ]==> (((a a) a)((a a)(a (a a)))) REDUCED to normal form. ------ 4881/133725. ------ 1. ==[ start ]==> (((^a.a)(a a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 4882/133752. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 4883/133770. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 4884/133797. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 4885/133806. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^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. ------ 4886/133833. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 4887/133860. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^z.z))) 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. ------ 4888/133887. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 4889/133914. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 4890/133950. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a (a (a a)))) 3. ==[ beta ]==> ((^y.y)(a (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 4891/133959. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y)) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 4892/133986. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a) b)) 3. ==[ beta ]==> ((a a)((^y.a) b)) 4. ==[ alpha ]==> ((a a)((^x.a) b)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 4893/133995. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(c (^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 4894/134022. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 4895/134031. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a) a)) REDUCED to normal form. ------ 4896/134076. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(a a))) 5. ==[ beta ]==> (a ((^y.a)(a a))) 6. ==[ alpha ]==> (a ((^x.a)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 4897/134085. ------ 1. ==[ start ]==> (((a a)(^b.a))(c b)) 2. ==[ alpha ]==> (((a a)(^x.a))(c b)) REDUCED to normal form. ------ 4898/134103. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4899/134112. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b c)) REDUCED to normal form. ------ 4900/134157. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 4901/134175. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y)) b)) 3. ==[ beta ]==> (((a a) a)((a (^y.y)) b)) 4. ==[ alpha ]==> (((a a) a)((a (^x.x)) b)) REDUCED to normal form. ------ 4902/134229. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a) a)) 3. ==[ beta ]==> ((a (a a))((^y.a) a)) 4. ==[ alpha ]==> ((a (a a))((^x.a) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 4903/134247. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y))(a a))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 4904/134256. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 4905/134265. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((b (^y.(^z.z)))(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 4906/134292. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(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. ------ 4907/134328. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b b)) 2. ==[ alpha ]==> ((((^x.x) a) b)(b b)) 3. ==[ beta ]==> ((a b)(b b)) REDUCED to normal form. ------ 4908/134346. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)(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. ------ 4909/134373. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 4910/134382. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (a a))) REDUCED to normal form. ------ 4911/134400. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4912/134409. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (a (^z.z)))) REDUCED to normal form. ------ 4913/134436. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 4914/134454. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 4915/134463. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b a)) REDUCED to normal form. ------ 4916/134481. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 4917/134499. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a a) a)) REDUCED to normal form. ------ 4918/134526. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 4919/134552. ------ 1. ==[ start ]==> (^a.(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y) x)(x (^z.z)))) 3. ==[ beta ]==> (^x.(x (x (^z.z)))) 4. ==[ alpha ]==> (^x.(x (x (^y.y)))) REDUCED to normal form. ------ 4920/134553. ------ 1. ==[ start ]==> (a (((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (a (((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> (a (a (a (^y.y)))) 4. ==[ alpha ]==> (a (a (a (^x.x)))) REDUCED to normal form. ------ 4921/134610. ------ 1. ==[ start ]==> ((^a.b)(^c.(a (a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 4922/135375. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4923/135450. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a))) a) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y))) a) 3. ==[ beta ]==> ((a (a (^y.y))) a) 4. ==[ alpha ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 4924/135456. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 4925/135465. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4926/135483. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((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))) 5. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x)) a)((a (^y.y)) a)) REDUCED to normal form. ------ 4927/135510. ------ 1. ==[ start ]==> ((^a.b)((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.b)((a a)(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 4928/135513. ------ 1. ==[ start ]==> ((a b)(^c.(a (a a)))) 2. ==[ alpha ]==> ((a b)(^x.(a (a a)))) REDUCED to normal form. ------ 4929/135531. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 4930/135546. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4931/135639. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(a (a a)))) REDUCED to normal form. ------ 4932/135708. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z)) c)) 3. ==[ beta ]==> (^y.((a (^z.z)) c)) 4. ==[ alpha ]==> (^x.((a (^y.y)) c)) REDUCED to normal form. ------ 4933/135747. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 4934/135756. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(y (y y)))) REDUCED to normal form. ------ 4935/135780. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)(a a))) 3. ==[ eta ]==> ((^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. ------ 4936/135855. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 4937/135936. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^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. ------ 4938/135951. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4939/136026. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.((^a.a) a))) 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. ------ 4940/136050. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y))(a a))) 3. ==[ beta ]==> (((a (^y.y))(a a))(((a (^y.y))(a a))((a (^y.y))(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a (^y.y))(a a))((a (^z.z))(a a)))) REDUCED to normal form. ------ 4941/136089. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.c)) 3. ==[ beta ]==> ((^y.y)(^x1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 4942/136152. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 4943/136206. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 4944/136251. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.y)) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 4945/136260. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 4946/136275. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 4947/136278. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 4948/136296. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.b)) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.b)) REDUCED to normal form. ------ 4949/136323. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(z z))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(z z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 4950/136350. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^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. ------ 4951/136362. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> ((a a)(a (a (^y.y)))) 4. ==[ alpha ]==> ((a a)(a (a (^x.x)))) REDUCED to normal form. ------ 4952/136371. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a) c)) 2. ==[ alpha ]==> ((a (^x.x))((^y.a) c)) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 4953/136389. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> ((a (a a))((a (^x.x)) a)) REDUCED to normal form. ------ 4954/136407. ------ 1. ==[ start ]==> (((a a) a)(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)(b (^x.(x x)))) REDUCED to normal form. ------ 4955/136416. ------ 1. ==[ start ]==> ((a b)((a a)(a (a a)))) REDUCED to normal form. ------ 4956/136434. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 4957/136452. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 4958/136461. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 4959/136488. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 4960/136506. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^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. ------ 4961/136515. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 4962/136533. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 4963/136542. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (a a))) REDUCED to normal form. ------ 4964/136560. ------ 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. ------ 4965/136569. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 4966/136587. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) a) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z) a) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 5. ==[ beta ]==> (((^y.y) a) b) 6. ==[ alpha ]==> (((^x.x) a) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 4967/136596. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 4968/136614. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y)) c)) REDUCED to normal form. ------ 4969/136632. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(b a)) REDUCED to normal form. ------ 4970/136650. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 4971/136659. ------ 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. ------ 4972/136686. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(a a))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 4973/136695. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a) b)) 3. ==[ beta ]==> ((^y.a)((^z.a) b)) 4. ==[ alpha ]==> ((^x.a)((^y.a) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 4974/136731. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.a))) REDUCED to normal form. ------ 4975/136758. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a (^y.(y y)))) 3. ==[ beta ]==> ((a a)(a (^y.(y y)))) 4. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 4976/136776. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.z))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 4977/136785. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 4978/136803. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 4979/136812. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 4980/136839. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^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. ------ 4981/136857. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a) a)) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 4982/136902. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 4983/136929. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(a ((^a.a) 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. ------ 4984/136956. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(a a))) REDUCED to normal form. ------ 4985/136965. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((^y.(^z.z)) b)((^y.(^z.z)) b)) 6. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) b)) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 9. ==[ beta ]==> ((^y.(^z.z)) b) 10. ==[ alpha ]==> ((^x.(^y.y)) b) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 4986/136992. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a) 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. ------ 4987/137028. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 4988/137046. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 4989/137055. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)(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. ------ 4990/137073. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y)) a)) 3. ==[ beta ]==> ((a (a a))((a (^y.y)) a)) 4. ==[ alpha ]==> ((a (a a))((a (^x.x)) a)) REDUCED to normal form. ------ 4991/137082. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 4992/137100. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 4993/137109. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(^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. ------ 4994/137136. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 4995/137154. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.y) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.x) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 4996/137163. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 4997/137181. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 4998/137199. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a b)) REDUCED to normal form. ------ 4999/137226. ------ 1. ==[ start ]==> (((a (^a.a))((^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. ------ 5000/137253. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a a)) 3. ==[ beta ]==> ((a (a (^y.y)))(a a)) 4. ==[ alpha ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 5001/138159. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a))) b) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y))) b) 3. ==[ beta ]==> ((a (a (^y.y))) b) 4. ==[ alpha ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 5002/138183. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^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. ------ 5003/138228. ------ 1. ==[ start ]==> ((^a.b)(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)(b (^y.(y y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 5004/138309. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^z.a)(a (^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(a (^y.y)))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 5005/138426. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (a (^z.z)))) 3. ==[ beta ]==> (^y.(c (a (^z.z)))) 4. ==[ alpha ]==> (^x.(c (a (^y.y)))) REDUCED to normal form. ------ 5006/138465. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.d)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.d)) 3. ==[ beta ]==> ((^y.y)(^z.d)) 4. ==[ alpha ]==> ((^x.x)(^y.d)) 5. ==[ beta ]==> (^y.d) 6. ==[ alpha ]==> (^x.d) REDUCED to normal form. ------ 5007/138474. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 5008/138744. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.a))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.a))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.a))) REDUCED to normal form. ------ 5009/138807. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(a (^a.a)))) 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))) REDUCED to normal form. ------ 5010/138924. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.b)) REDUCED to normal form. ------ 5011/138978. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 5012/138993. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5013/139014. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 5014/139041. ------ 1. ==[ start ]==> (((a (^a.a))((^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. ------ 5015/139068. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 5016/139098. ------ 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 (^x.x))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 5017/139107. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a) c)) 2. ==[ alpha ]==> (((^x.x) a)((^y.a) c)) 3. ==[ beta ]==> (a ((^y.a) c)) 4. ==[ alpha ]==> (a ((^x.a) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 5018/139125. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))((^a.a) 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. ------ 5019/139143. ------ 1. ==[ start ]==> ((a b)(b (^a.(a a)))) 2. ==[ alpha ]==> ((a b)(b (^x.(x x)))) REDUCED to normal form. ------ 5020/139152. ------ 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. ------ 5021/139188. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.y))) 3. ==[ beta ]==> (b ((a (a a))(^y.y))) 4. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 5022/139197. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a a))) 3. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 5023/139215. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 5024/139224. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.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. ------ 5025/139242. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 5026/139269. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.(y y)))) REDUCED to normal form. ------ 5027/139296. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 5028/139323. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 5029/139341. ------ 1. ==[ start ]==> ((a (^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(c (a (^y.y)))) REDUCED to normal form. ------ 5030/139359. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 5031/139386. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(z z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(y y))) REDUCED to normal form. ------ 5032/139422. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 5033/139449. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a (^z1.z1)))) 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. ------ 5034/139458. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 5035/139512. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) 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. ------ 5036/139539. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 5037/139566. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((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. ------ 5038/139602. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)(^a.a))) 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. ------ 5039/139629. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 5040/139656. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 5041/139674. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a) a)) 3. ==[ beta ]==> ((a a)((^y.a) a)) 4. ==[ alpha ]==> ((a a)((^x.a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 5042/139692. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(a a))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(a a))) 5. ==[ beta ]==> (((a (^y.y))(a a))((a (^y.y))(a a))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(a a))) REDUCED to normal form. ------ 5043/139719. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 5044/139755. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))(^a.a))) 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. ------ 5045/139773. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b b)) 3. ==[ beta ]==> (((^y.y)(^y.y))(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. ------ 5046/139782. ------ 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. ------ 5047/139809. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 5048/139827. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b (a a))) 3. ==[ beta ]==> ((^y.y)(b (a a))) 4. ==[ alpha ]==> ((^x.x)(b (a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 5049/139836. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a) b)) REDUCED to normal form. ------ 5050/139863. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 5051/139881. ------ 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))) REDUCED to normal form. ------ 5052/139890. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y) b)) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 5053/139908. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 5054/139926. ------ 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. ------ 5055/139953. ------ 1. ==[ start ]==> (((a (^a.a))((^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. ------ 5056/139980. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a (^z.z))) 3. ==[ beta ]==> ((a (a (^y.y)))(a (^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 5057/139997. ------ 1. ==[ start ]==> (^a.((^a.(a a)) b)) 2. ==[ alpha ]==> (^x.((^y.(y y)) b)) 3. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 5058/139998. ------ 1. ==[ start ]==> (a ((^a.(a a)) b)) 2. ==[ alpha ]==> (a ((^x.(x x)) b)) 3. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 5059/140091. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5060/140496. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 5061/140820. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5062/140913. ------ 1. ==[ start ]==> (((^a.(a a)) b) a) 2. ==[ alpha ]==> (((^x.(x x)) b) a) 3. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 5063/140919. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 3. ==[ beta ]==> ((^y.(y y)) b) 4. ==[ alpha ]==> ((^x.(x x)) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 5064/140946. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(x x))((^y.a) c)) 3. ==[ beta ]==> (((^y.a) c)((^y.a) c)) 4. ==[ alpha ]==> (((^x.a) c)((^y.a) c)) 5. ==[ beta ]==> (a ((^y.a) c)) 6. ==[ alpha ]==> (a ((^x.a) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 5065/141009. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5066/141012. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 5067/141054. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^z.z) a)(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 5068/141120. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 5069/141171. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 5070/141243. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z)) a)) 3. ==[ eta ]==> ((^y.y)((^z.(z z)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 5071/141336. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(z z)))) 5. ==[ beta ]==> (a (^y.(^z.(z z)))) 6. ==[ alpha ]==> (a (^x.(^y.(y y)))) REDUCED to normal form. ------ 5072/141414. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 5073/141417. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^y.a)) REDUCED to normal form. ------ 5074/141507. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.(x x)) a)(^z.z)) 4. ==[ alpha ]==> (((^x.(x x)) a)(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 5075/141513. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a) a)) 3. ==[ beta ]==> (((^y.a) a)(((^y.a) a)((^y.a) a))) 4. ==[ alpha ]==> (((^x.a) a)(((^y.a) a)((^z.a) a))) 5. ==[ beta ]==> (a (((^y.a) a)((^z.a) a))) 6. ==[ alpha ]==> (a (((^x.a) a)((^y.a) a))) 7. ==[ beta ]==> (a (a ((^y.a) a))) 8. ==[ alpha ]==> (a (a ((^x.a) a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 5076/141633. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 5077/141696. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 5078/141738. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5079/141741. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 5080/141813. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.a)) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.a)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.a)) REDUCED to normal form. ------ 5081/141831. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.a)) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.y)) 3. ==[ beta ]==> ((b b)(^y.y)) 4. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 5082/141843. ------ 1. ==[ start ]==> ((a a)((^a.(a a)) b)) 2. ==[ alpha ]==> ((a a)((^x.(x x)) b)) 3. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 5083/141861. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) 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)))) 5. ==[ beta ]==> (a (a (a (^y.y)))) 6. ==[ alpha ]==> (a (a (a (^x.x)))) REDUCED to normal form. ------ 5084/141870. ------ 1. ==[ start ]==> ((a (a a))((^b.a) c)) 2. ==[ alpha ]==> ((a (a a))((^x.a) c)) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 5085/141888. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a a) a)((a (^x.x)) a)) REDUCED to normal form. ------ 5086/141906. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(y y)))) 3. ==[ beta ]==> ((a a)(b (^y.(y y)))) 4. ==[ alpha ]==> ((a a)(b (^x.(x x)))) REDUCED to normal form. ------ 5087/141915. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 5088/141933. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 5089/141951. ------ 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. ------ 5090/141978. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 5091/141987. ------ 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 ]==> ((^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. ------ 5092/141996. ------ 1. ==[ start ]==> (((a a) b)(c c)) REDUCED to normal form. ------ 5093/142014. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 5094/142041. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^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. ------ 5095/142068. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5096/142095. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 5097/142131. ------ 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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 5098/142167. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y)) a)) 3. ==[ beta ]==> ((a a)((^y.(y y)) a)) 4. ==[ alpha ]==> ((a a)((^x.(x x)) a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 5099/142212. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 5100/142239. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a a)((^a.a) 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. ------ 5101/142257. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(a (^z.(z z)))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.(y y)))) 5. ==[ beta ]==> (a (a (^y.(y y)))) 6. ==[ alpha ]==> (a (a (^x.(x x)))) REDUCED to normal form. ------ 5102/142284. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 5103/142320. ------ 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)) REDUCED to normal form. ------ 5104/142338. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 5105/142356. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 5106/142383. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 5107/142428. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(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. ------ 5108/142437. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a) a)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a) a)) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 5109/142473. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 5110/142509. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c a)) 2. ==[ alpha ]==> ((((^x.x) a) b)(c a)) 3. ==[ beta ]==> ((a b)(c a)) REDUCED to normal form. ------ 5111/142527. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((^y.(^z.z))(a a)) 8. ==[ alpha ]==> ((^x.(^y.y))(a a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5112/142536. ------ 1. ==[ start ]==> (((a (a a)) a)(b b)) REDUCED to normal form. ------ 5113/142554. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 5114/142581. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 5115/142590. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (a a))) REDUCED to normal form. ------ 5116/142617. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 5117/142635. ------ 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 a))(b (^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.x))) REDUCED to normal form. ------ 5118/142644. ------ 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. ------ 5119/142662. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 5120/142680. ------ 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. ------ 5121/142707. ------ 1. ==[ start ]==> (((a (^a.a))((^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. ------ 5122/142734. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y) a)) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 5123/142752. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a a)) 2. ==[ alpha ]==> (((^x.(x x)) b)(a a)) 3. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 5124/142760. ------ 1. ==[ start ]==> (^a.((a (a a))(a a))) 2. ==[ alpha ]==> (^x.((x (x x))(x x))) REDUCED to normal form. ------ 5125/142761. ------ 1. ==[ start ]==> (a ((a (a a))(a a))) REDUCED to normal form. ------ 5126/143088. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(z (z z)))) 3. ==[ eta ]==> ((^y.y)(^z.(z (z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 5127/143358. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((^x.(x (x x)))(^z.z)) 4. ==[ alpha ]==> ((^x.(x (x x)))(^y.y)) 5. ==[ beta ]==> ((^y.y)((^y.y)(^y.y))) 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. ------ 5128/143583. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5129/143676. ------ 1. ==[ start ]==> (((^a.(a a)) b) b) 2. ==[ alpha ]==> (((^x.(x x)) b) b) 3. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 5130/143685. ------ 1. ==[ start ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 5131/143691. ------ 1. ==[ start ]==> ((^a.a)((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 5132/143700. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5133/143718. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)(a (^z.z)))(((^y.y) a)(a (^z.z)))) 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. ------ 5134/143745. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 5135/143793. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(^b.(^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. ------ 5136/143901. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 5137/143943. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a) b)) 3. ==[ beta ]==> (^y.(((^z.z) a) b)) 4. ==[ alpha ]==> (^x.(((^y.y) a) b)) 5. ==[ beta ]==> (^x.(a b)) REDUCED to normal form. ------ 5138/144015. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (a (a a)))) 3. ==[ eta ]==> ((^y.y)(a (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 5139/144018. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(y (y y)))) 3. ==[ beta ]==> ((a a)(^y.(y (y y)))) 4. ==[ alpha ]==> ((a a)(^x.(x (x x)))) REDUCED to normal form. ------ 5140/144117. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 5141/144186. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)(^z.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 5142/144279. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.a))) 3. ==[ beta ]==> ((a a)(^y.(^z.a))) 4. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 5143/144285. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a ((^y.y) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a ((^y.y) a))(a ((^y.y) a)))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 5144/144288. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.((^a.a) a))) 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. ------ 5145/144360. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.y))) 3. ==[ beta ]==> ((a b)(^y.(^z.y))) 4. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 5146/144414. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 5147/144468. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 5148/144510. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5149/144513. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 5150/144558. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.b)) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.b)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.b)) REDUCED to normal form. ------ 5151/144585. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(z z))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(z z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 5152/144603. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.z))) 3. ==[ beta ]==> ((b b)(^y.(^z.z))) 4. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 5153/144612. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.a)) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 5154/144624. ------ 1. ==[ start ]==> ((a a)((a (a a))(a a))) REDUCED to normal form. ------ 5155/144633. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) b)) 3. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 5156/144651. ------ 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. ------ 5157/144660. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.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. ------ 5158/144678. ------ 1. ==[ start ]==> ((a b)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a b)((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> ((a b)((a (^x.x)) a)) REDUCED to normal form. ------ 5159/144696. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 5160/144723. ------ 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. ------ 5161/144750. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(z z))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 5. ==[ beta ]==> ((^y.(y y))(a a)) 6. ==[ alpha ]==> ((^x.(x x))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 5162/144768. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5163/144777. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 5164/144795. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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. ------ 5165/144804. ------ 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)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 5166/144822. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 5167/144831. ------ 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. ------ 5168/144849. ------ 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 a)) a)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 5169/144858. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 5170/144876. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a) b)) 3. ==[ beta ]==> ((a (^x.a))(a b)) REDUCED to normal form. ------ 5171/144912. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5172/144921. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b ((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b a)) REDUCED to normal form. ------ 5173/144948. ------ 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. ------ 5174/144957. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z)) a)) 3. ==[ beta ]==> ((^y.a)((^z.(z z)) a)) 4. ==[ alpha ]==> ((^x.a)((^y.(y y)) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 5175/144984. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) b)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 5176/144993. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.(^z.z)))) REDUCED to normal form. ------ 5177/145020. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (^y.a))) 3. ==[ beta ]==> ((a a)(b (^y.a))) 4. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 5178/145047. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 5179/145065. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) 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. ------ 5180/145074. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 5181/145101. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^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. ------ 5182/145119. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.a))) REDUCED to normal form. ------ 5183/145191. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b (a (^y.y)))) 3. ==[ beta ]==> ((a (a a))(b (a (^y.y)))) 4. ==[ alpha ]==> ((a (a a))(b (a (^x.x)))) REDUCED to normal form. ------ 5184/145209. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(^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. ------ 5185/145218. ------ 1. ==[ start ]==> ((a (a (a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))(a ((^x.x) a))) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 5186/145227. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a) a)) 3. ==[ beta ]==> ((^y.(y y))((^z.a) a)) 4. ==[ alpha ]==> ((^x.(x x))((^y.a) a)) 5. ==[ beta ]==> (((^y.a) a)((^y.a) a)) 6. ==[ alpha ]==> (((^x.a) a)((^y.a) a)) 7. ==[ beta ]==> (a ((^y.a) a)) 8. ==[ alpha ]==> (a ((^x.a) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 5187/145254. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5188/145290. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a (^y.a))) 3. ==[ beta ]==> ((a b)(a (^y.a))) 4. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 5189/145308. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))(^a.a))) 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. ------ 5190/145317. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 5191/145335. ------ 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. ------ 5192/145344. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(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. ------ 5193/145362. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) 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. ------ 5194/145371. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))(^a.a))) 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. ------ 5195/145398. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 5196/145416. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(a 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. ------ 5197/145425. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.y))) REDUCED to normal form. ------ 5198/145443. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 5199/145461. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b a)) REDUCED to normal form. ------ 5200/145488. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a b)) 3. ==[ beta ]==> (((a (^x.x)) a)(a b)) REDUCED to normal form. ------ 5201/145515. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a (a a))) 3. ==[ beta ]==> ((a (a (^y.y)))(a (a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (a a))) REDUCED to normal form. ------ 5202/145533. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a (^y.y))) 3. ==[ beta ]==> ((b b)(a (^y.y))) 4. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 5203/145542. ------ 1. ==[ start ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 5204/145878. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.(x1 x1)))) 3. ==[ eta ]==> ((^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. ------ 5205/146148. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.a))) 3. ==[ beta ]==> ((^y.(^z.a))((^y.(^z.a))(^y.(^z.a)))) 4. ==[ alpha ]==> ((^x.(^y.a))((^z.(^x1.a))(^y1.(^z1.a)))) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 5206/146373. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5207/146466. ------ 1. ==[ start ]==> (((^a.(a a)) b) c) 2. ==[ alpha ]==> (((^x.(x x)) b) c) 3. ==[ beta ]==> ((b b) c) REDUCED to normal form. ------ 5208/146475. ------ 1. ==[ start ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 5209/146499. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5210/146544. ------ 1. ==[ start ]==> ((^a.b)(c (^b.a))) 2. ==[ alpha ]==> ((^x.b)(c (^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 5211/146580. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5212/146601. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 5213/146625. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((^z.(z z))(a a))(^y.y)) 4. ==[ alpha ]==> (((^x.(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. ------ 5214/146814. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(^x1.(x1 x1)))) 3. ==[ eta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 5215/146817. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 5216/146826. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(z (z z)))) 3. ==[ beta ]==> ((^y.a)(^z.(z (z z)))) 4. ==[ alpha ]==> ((^x.a)(^y.(y (y y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 5217/146985. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b c)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b c)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 5218/147006. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a) a)(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)(^x.((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 5219/147084. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(^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. ------ 5220/147087. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.a))) REDUCED to normal form. ------ 5221/147096. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.z)) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5222/147159. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.c)) 3. ==[ beta ]==> ((a b)(^y.c)) 4. ==[ alpha ]==> ((a b)(^x.c)) REDUCED to normal form. ------ 5223/147285. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 5224/147309. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5225/147312. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 5226/147330. ------ 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. ------ 5227/147357. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(a a))) REDUCED to normal form. ------ 5228/147384. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 5229/147402. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.a)) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.a)) 3. ==[ beta ]==> ((b b)(^y.a)) 4. ==[ alpha ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 5230/147411. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 5231/147441. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 5232/147450. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y)) b)) 3. ==[ beta ]==> (a ((^y.(y y)) b)) 4. ==[ alpha ]==> (a ((^x.(x x)) b)) 5. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 5233/147468. ------ 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. ------ 5234/147477. ------ 1. ==[ start ]==> (((a a) a)((^b.a) c)) 2. ==[ alpha ]==> (((a a) a)((^x.a) c)) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 5235/147486. ------ 1. ==[ start ]==> ((a b)(c (^b.a))) 2. ==[ alpha ]==> ((a b)(c (^x.a))) REDUCED to normal form. ------ 5236/147495. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a a)((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 5237/147522. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 5238/147540. ------ 1. ==[ start ]==> (((a a)(a a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 5239/147558. ------ 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)((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. ------ 5240/147567. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a (a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 5241/147585. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 5242/147612. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(^z.a))) REDUCED to normal form. ------ 5243/147639. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 5244/147666. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a)) a)) REDUCED to normal form. ------ 5245/147702. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)(^a.(^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. ------ 5246/147720. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.z)) c)) 3. ==[ beta ]==> ((^y.y)((a (^z.z)) c)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) c)) 5. ==[ beta ]==> ((a (^y.y)) c) 6. ==[ alpha ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 5247/147729. ------ 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 (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 5248/147756. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 5249/147765. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a (a (a a)))) 3. ==[ beta ]==> ((^y.a)(a (a (a a)))) 4. ==[ alpha ]==> ((^x.a)(a (a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 5250/147792. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 5251/147801. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a) b)) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 5252/147846. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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. ------ 5253/147882. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) 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. ------ 5254/147909. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 5255/147927. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b c)) 2. ==[ alpha ]==> ((a (^x.(x x)))(b c)) REDUCED to normal form. ------ 5256/147945. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((^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. ------ 5257/147972. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(^a.a))) 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. ------ 5258/147999. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.a))(^a.(^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. ------ 5259/148026. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)(^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. ------ 5260/148035. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((^y.(y y))(a ((^z.z) a))) 4. ==[ alpha ]==> ((^x.(x x))(a ((^y.y) a))) 5. ==[ beta ]==> ((a ((^y.y) a))(a ((^y.y) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(a ((^y.y) a))) 7. ==[ beta ]==> ((a a)(a ((^y.y) a))) 8. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 5261/148062. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 5. ==[ beta ]==> ((a (^y.y))(a a)) 6. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 5262/148098. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a) 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. ------ 5263/148125. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 5264/148143. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b b)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b b)) 3. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 5265/148152. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 5266/148179. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z)) a)) REDUCED to normal form. ------ 5267/148206. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 5268/148224. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 5269/148233. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 5270/148251. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 5271/148269. ------ 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. ------ 5272/148296. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 5273/148323. ------ 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. ------ 5274/148341. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 5275/148350. ------ 1. ==[ start ]==> (((a (a a))(a a))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(a (^x.x))) REDUCED to normal form. ------ 5276/148367. ------ 1. ==[ start ]==> (^a.((^b.(^a.a)) a)) 2. ==[ alpha ]==> (^x.((^y.(^z.z)) x)) 3. ==[ eta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5277/148368. ------ 1. ==[ start ]==> (a ((^b.(^a.a)) a)) 2. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 5278/149316. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) 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. ------ 5279/149343. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y)) b)) 3. ==[ beta ]==> (((^y.(y y)) b)((^y.(y y)) b)) 4. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y)) b)) 5. ==[ beta ]==> ((b b)((^y.(y y)) b)) 6. ==[ alpha ]==> ((b b)((^x.(x x)) b)) 7. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 5280/149370. ------ 1. ==[ start ]==> ((^a.b)((^b.a) c)) 2. ==[ alpha ]==> ((^x.b)((^y.a) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 5281/149406. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5282/149418. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(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. ------ 5283/149451. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a a))(^z.z))) 3. ==[ beta ]==> (((a (a a))(^z.z))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 5284/149544. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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))) REDUCED to normal form. ------ 5285/149568. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (^y.((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (^x.((^y.(y y))(^z.z))) 5. ==[ beta ]==> (^x.((^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. ------ 5286/149652. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.(z z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 5287/149742. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.a))(^y.a)) REDUCED to normal form. ------ 5288/149760. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 5289/149811. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 5290/149922. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.a))) 5. ==[ beta ]==> ((^y.(^z.a))(^y.(^z.a))) 6. ==[ alpha ]==> ((^x.(^y.a))(^z.(^x1.a))) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 5291/149985. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 5292/150003. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 5293/150057. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(a (^a.a)))) 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))) REDUCED to normal form. ------ 5294/150066. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.c)) REDUCED to normal form. ------ 5295/150111. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 5296/150120. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 5297/150135. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5298/150156. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.b)) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 5299/150228. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(y y))) 3. ==[ beta ]==> ((b b)(^y.(y y))) 4. ==[ alpha ]==> ((b b)(^x.(x x))) REDUCED to normal form. ------ 5300/150237. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.a)) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.a)) REDUCED to normal form. ------ 5301/150260. ------ 1. ==[ start ]==> (^a.(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^x.(^y.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 5302/150261. ------ 1. ==[ start ]==> (a (^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a (^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (a (^x.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 5303/150267. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 5304/150285. ------ 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. ------ 5305/150294. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (a a))((^x.(x x)) b)) 3. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 5306/150312. ------ 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. ------ 5307/150321. ------ 1. ==[ start ]==> ((a b)((^b.a) c)) 2. ==[ alpha ]==> ((a b)((^x.a) c)) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 5308/150339. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 5309/150357. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 5310/150366. ------ 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. ------ 5311/150402. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 5312/150411. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5313/150438. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 5314/150465. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 5315/150492. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 5316/150519. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 5317/150537. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a b)) REDUCED to normal form. ------ 5318/150555. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(c (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(c (a (^y.y)))) 5. ==[ beta ]==> (c (a (^y.y))) 6. ==[ alpha ]==> (c (a (^x.x))) REDUCED to normal form. ------ 5319/150600. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.a)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 5320/150636. ------ 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 (^x.x)) b)(a (a a))) REDUCED to normal form. ------ 5321/150663. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 5322/150681. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.a))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.a))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.a))) 5. ==[ beta ]==> (a (b (^y.a))) 6. ==[ alpha ]==> (a (b (^x.a))) REDUCED to normal form. ------ 5323/150690. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.a))((a a) a)) REDUCED to normal form. ------ 5324/150708. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 5325/150762. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 5326/150780. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 5327/150807. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 5328/150834. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.y)) b)) 3. ==[ beta ]==> ((a (a a))((a (^y.y)) b)) 4. ==[ alpha ]==> ((a (a a))((a (^x.x)) b)) REDUCED to normal form. ------ 5329/150852. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (a (^y.y)))) 3. ==[ beta ]==> ((a a)(b (a (^y.y)))) 4. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 5330/150870. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(^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. ------ 5331/150897. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (^a.a))) 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. ------ 5332/150933. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)(a (^y.y)))) 3. ==[ beta ]==> ((a b)((a a)(a (^y.y)))) 4. ==[ alpha ]==> ((a b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 5333/150951. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (^z.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (^z.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. ------ 5334/150978. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 5335/150987. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b b)) REDUCED to normal form. ------ 5336/151005. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(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. ------ 5337/151014. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a c)) REDUCED to normal form. ------ 5338/151041. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 5339/151059. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 5340/151068. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 5341/151086. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 5342/151104. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x) b)) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 5343/151131. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 5344/151158. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a a) a)) 3. ==[ beta ]==> ((a (a (^y.y)))((a a) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a) a)) REDUCED to normal form. ------ 5345/151176. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a (a a))) 3. ==[ beta ]==> ((b b)(a (a a))) REDUCED to normal form. ------ 5346/151185. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.a) a)) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x) a)) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 5347/151209. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a))) a) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z))) 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. ------ 5348/151211. ------ 1. ==[ start ]==> (^a.(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.(x ((^y.y)(^z.z)))) 3. ==[ beta ]==> (^x.(x (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 5349/151212. ------ 1. ==[ start ]==> (a (a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a (a ((^x.x)(^y.y)))) 3. ==[ beta ]==> (a (a (^y.y))) 4. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 5350/151215. ------ 1. ==[ start ]==> ((^a.a)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5351/152160. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 5352/152163. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a))) a) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y))) a) 3. ==[ beta ]==> ((a (^y.y)) a) 4. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 5353/152169. ------ 1. ==[ start ]==> ((^a.a)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (a ((^y.y)(^z.z))) 4. ==[ alpha ]==> (a ((^x.x)(^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 5354/152172. ------ 1. ==[ start ]==> ((a a)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(^x.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 5355/152178. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5356/152196. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.(x x))((a (a a))(a a))) 3. ==[ beta ]==> (((a (a a))(a a))((a (a a))(a a))) REDUCED to normal form. ------ 5357/152223. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 5358/152298. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 5359/152406. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a (a a)))) REDUCED to normal form. ------ 5360/152421. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a)) a)) 3. ==[ beta ]==> (^y.((a (a a)) a)) 4. ==[ alpha ]==> (^x.((a (a a)) a)) REDUCED to normal form. ------ 5361/152493. ------ 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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 5362/152505. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.d)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.d)) 3. ==[ beta ]==> ((^y.a)(^z.d)) 4. ==[ alpha ]==> ((^x.a)(^y.d)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 5363/152622. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 5364/152664. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 5365/152763. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (a (^y.y)))) 3. ==[ beta ]==> ((b (a (^y.y)))((b (a (^y.y)))(b (a (^y.y))))) 4. ==[ alpha ]==> ((b (a (^x.x)))((b (a (^y.y)))(b (a (^z.z))))) REDUCED to normal form. ------ 5366/152856. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.c)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.c)) 5. ==[ beta ]==> ((^y.y)(^z.c)) 6. ==[ alpha ]==> ((^x.x)(^y.c)) 7. ==[ beta ]==> (^y.c) 8. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 5367/152865. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.x))) REDUCED to normal form. ------ 5368/152919. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 5369/152973. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 5370/152988. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5371/153063. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.b)) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.b)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.b)) REDUCED to normal form. ------ 5372/153081. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.z))) 3. ==[ beta ]==> ((b b)(^y.(^z.z))) 4. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 5373/153090. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(x x))) REDUCED to normal form. ------ 5374/153114. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(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. ------ 5375/153117. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.z)) 3. ==[ beta ]==> ((a (^y.y))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 5376/153122. ------ 1. ==[ start ]==> (^a.(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 5377/153123. ------ 1. ==[ start ]==> (a (^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 5378/153129. ------ 1. ==[ start ]==> ((a a)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a a)(a (^y.y))) 4. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 5379/153138. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^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. ------ 5380/153156. ------ 1. ==[ start ]==> ((a (a a))((a (a a))(a a))) REDUCED to normal form. ------ 5381/153165. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 5. ==[ beta ]==> ((^y.(y y)) b) 6. ==[ alpha ]==> ((^x.(x x)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 5382/153183. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> ((a b)(a (a (^y.y)))) 4. ==[ alpha ]==> ((a b)(a (a (^x.x)))) REDUCED to normal form. ------ 5383/153192. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a) c)) 3. ==[ beta ]==> ((a a)((^y.a) c)) 4. ==[ alpha ]==> ((a a)((^x.a) c)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 5384/153228. ------ 1. ==[ start ]==> (((^a.a) b)(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(b (^y.(y y)))) 3. ==[ beta ]==> (b (b (^y.(y y)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 5385/153237. ------ 1. ==[ start ]==> (((a a)(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 5386/153255. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 5387/153273. ------ 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 ]==> ((^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. ------ 5388/153282. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))(a a))) 3. ==[ beta ]==> (((a a) b)((a a)(a a))) REDUCED to normal form. ------ 5389/153300. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 5390/153309. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 5391/153327. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 5392/153336. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 5393/153354. ------ 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)((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 5394/153363. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 5395/153381. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a)) a)) 2. ==[ alpha ]==> ((a (^x.a))((a (a a)) a)) REDUCED to normal form. ------ 5396/153417. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 5397/153453. ------ 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))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 5398/153489. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1)) 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. ------ 5399/153552. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (^y.a))) REDUCED to normal form. ------ 5400/153579. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 5401/153606. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 5402/153624. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 5403/153642. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b c)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b c)) 3. ==[ beta ]==> (((a a) a)(b c)) REDUCED to normal form. ------ 5404/153714. ------ 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 a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 5405/153723. ------ 1. ==[ start ]==> ((a (a (a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(b (a (^x.x)))) REDUCED to normal form. ------ 5406/153759. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 5407/153795. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 5408/153822. ------ 1. ==[ start ]==> (((a (a a)) a)(a (^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)(a (^x.a))) REDUCED to normal form. ------ 5409/153840. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 5410/153849. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 5411/153867. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 5412/153876. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(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. ------ 5413/153903. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 5414/153921. ------ 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))((a a) b)) REDUCED to normal form. ------ 5415/153930. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 5416/153948. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 5417/153966. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 5418/153993. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b a)) 3. ==[ beta ]==> (((a (^x.x)) a)(b a)) REDUCED to normal form. ------ 5419/154020. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a b)) 3. ==[ beta ]==> ((a (a (^y.y)))(a b)) 4. ==[ alpha ]==> ((a (a (^x.x)))(a b)) REDUCED to normal form. ------ 5420/154038. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 5421/154047. ------ 1. ==[ start ]==> (((a (a a))(a a))(a (a a))) REDUCED to normal form. ------ 5422/154071. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a))) b) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z))) 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. ------ 5423/154074. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a a)) 3. ==[ beta ]==> ((a (^y.y))(a a)) 4. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 5424/154082. ------ 1. ==[ start ]==> (^a.((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 5425/154083. ------ 1. ==[ start ]==> (a ((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 5426/154086. ------ 1. ==[ start ]==> ((^a.a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 5427/154095. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5428/154221. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^z.(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5429/154905. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(a (^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. ------ 5430/155031. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 5431/155034. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a))) b) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y))) b) 3. ==[ beta ]==> ((a (^y.y)) b) 4. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 5432/155043. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a))) a) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) 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. ------ 5433/155049. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5434/155052. ------ 1. ==[ start ]==> ((a a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 5435/155058. ------ 1. ==[ start ]==> ((^a.(^a.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5436/155061. ------ 1. ==[ start ]==> ((a (^a.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 5437/155139. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5438/155184. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 5439/155187. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 5440/155373. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.a))) 3. ==[ eta ]==> ((^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. ------ 5441/155412. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 (y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 (y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 5442/155592. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^z.a)) REDUCED to normal form. ------ 5443/155643. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))(^a.(^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. ------ 5444/155682. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5445/155745. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.c)) 2. ==[ alpha ]==> (((a (a a)) a)(^x.c)) REDUCED to normal form. ------ 5446/155799. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 5447/155868. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5448/155871. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 5449/155916. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 5450/155943. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 5451/155961. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.a)) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.a)) 3. ==[ beta ]==> ((b b)(^y.a)) 4. ==[ alpha ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 5452/155970. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 5453/155994. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(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. ------ 5454/155997. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 5455/156006. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 5456/156018. ------ 1. ==[ start ]==> ((a a)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 5457/156027. ------ 1. ==[ start ]==> ((a (^a.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 5458/156036. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> (a ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 5459/156054. ------ 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. ------ 5460/156063. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a) a)((^x.(x x)) b)) 3. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 5461/156081. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (a (^y.y)))) 6. ==[ alpha ]==> ((a a)(a (a (^x.x)))) REDUCED to normal form. ------ 5462/156090. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a) c)) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 5463/156108. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 5464/156126. ------ 1. ==[ start ]==> (((a a)(a a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(b (^x.(x x)))) REDUCED to normal form. ------ 5465/156153. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 5466/156171. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a) b)((a (a a))(^x.x))) REDUCED to normal form. ------ 5467/156198. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(^z.z)))) REDUCED to normal form. ------ 5468/156225. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 5469/156252. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(z z)))) REDUCED to normal form. ------ 5470/156288. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^z.z))) 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. ------ 5471/156306. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) a) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z) a) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 5. ==[ beta ]==> (((^y.y) a) b) 6. ==[ alpha ]==> (((^x.x) a) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 5472/156315. ------ 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 (^x.x))(a a)) a) REDUCED to normal form. ------ 5473/156342. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 5474/156351. ------ 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. ------ 5475/156378. ------ 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)(a (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 5476/156387. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y)) a)) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 5477/156414. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a) b)) 3. ==[ beta ]==> ((a a)((^y.a) b)) 4. ==[ alpha ]==> ((a a)((^x.a) b)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 5478/156432. ------ 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. ------ 5479/156441. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 5480/156459. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((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. ------ 5481/156495. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^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. ------ 5482/156531. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 5483/156558. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 5484/156585. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)(^a.a))) 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. ------ 5485/156603. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y)) b)) 3. ==[ beta ]==> ((a a)((a (^y.y)) b)) 4. ==[ alpha ]==> ((a a)((a (^x.x)) b)) REDUCED to normal form. ------ 5486/156612. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))(^a.(^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. ------ 5487/156621. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (a (^z.z)))) 3. ==[ beta ]==> ((^y.(y y))(b (a (^z.z)))) 4. ==[ alpha ]==> ((^x.(x x))(b (a (^y.y)))) 5. ==[ beta ]==> ((b (a (^y.y)))(b (a (^y.y)))) 6. ==[ alpha ]==> ((b (a (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 5488/156648. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1) 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. ------ 5489/156684. ------ 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)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 5490/156702. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(a (^z.z)))) 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. ------ 5491/156738. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 5492/156756. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 5493/156765. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 5494/156792. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 5495/156810. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (a a))) 3. ==[ beta ]==> (((a a)(a a))(b (a a))) REDUCED to normal form. ------ 5496/156819. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a) b)) REDUCED to normal form. ------ 5497/156837. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 5498/156855. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.x))) REDUCED to normal form. ------ 5499/156882. ------ 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. ------ 5500/156909. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^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. ------ 5501/156927. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a) a)) 2. ==[ alpha ]==> (((^x.(x x)) b)((a a) a)) 3. ==[ beta ]==> ((b b)((a a) a)) REDUCED to normal form. ------ 5502/156936. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.a)(^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. ------ 5503/156963. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 5504/156972. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 5505/156993. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5506/157236. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(a (a a)))) 4. ==[ alpha ]==> (^x.(^y.(a (a a)))) REDUCED to normal form. ------ 5507/157803. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5508/157929. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 5509/157941. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a))) b) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) b) 3. ==[ beta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5510/157965. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5511/157968. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 5512/157977. ------ 1. ==[ start ]==> (((^a.a) a)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (a (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (a (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (a (^x.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 5513/157983. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5514/158010. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.b)((^y.(y y)) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 5515/158103. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5516/158208. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(a (a a)))) 3. ==[ beta ]==> (^y.((^z.z)(a (a a)))) 4. ==[ alpha ]==> (^x.((^y.y)(a (a a)))) 5. ==[ beta ]==> (^x.(a (a a))) REDUCED to normal form. ------ 5517/158211. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 5518/158319. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 5519/158328. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(y (y y)))) REDUCED to normal form. ------ 5520/158451. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 5521/158550. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y)) b)) 3. ==[ beta ]==> (((a (^y.y)) b)(((a (^y.y)) b)((a (^y.y)) b))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((a (^y.y)) b)((a (^z.z)) b))) REDUCED to normal form. ------ 5522/158589. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 5523/158670. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.y))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.y))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.x))) REDUCED to normal form. ------ 5524/158775. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5525/158778. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 5526/158823. ------ 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. ------ 5527/158868. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.b)) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.b)) 3. ==[ beta ]==> ((b b)(^y.b)) 4. ==[ alpha ]==> ((b b)(^x.b)) REDUCED to normal form. ------ 5528/158901. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5529/158904. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.a)) 3. ==[ beta ]==> ((a (^y.y))(^z.a)) 4. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 5530/158913. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5531/158943. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)(^b.(^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. ------ 5532/158952. ------ 1. ==[ start ]==> (((^a.a) a)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (a (a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (a (a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 5533/158961. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 5534/158979. ------ 1. ==[ start ]==> (((a a) a)((a (a a))(a a))) REDUCED to normal form. ------ 5535/158988. ------ 1. ==[ start ]==> ((a b)((^a.(a a)) b)) 2. ==[ alpha ]==> ((a b)((^x.(x x)) b)) 3. ==[ beta ]==> ((a b)(b b)) REDUCED to normal form. ------ 5536/159006. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 5537/159033. ------ 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. ------ 5538/159060. ------ 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)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 5539/159078. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5540/159105. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 5541/159132. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 5542/159159. ------ 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)((^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. ------ 5543/159186. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a (^x.a))(a (a a))) REDUCED to normal form. ------ 5544/159204. ------ 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. ------ 5545/159231. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))(a b)) REDUCED to normal form. ------ 5546/159267. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 5547/159294. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(z1 z1)))) 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. ------ 5548/159303. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (a (a a)))) REDUCED to normal form. ------ 5549/159330. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(a a))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 5550/159357. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 5551/159375. ------ 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)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 5552/159384. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 5553/159429. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(a a))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 5554/159447. ------ 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. ------ 5555/159474. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 5556/159501. ------ 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. ------ 5557/159528. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.x)) b)) REDUCED to normal form. ------ 5558/159537. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 7. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5559/159564. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 5560/159600. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))(a a))) 3. ==[ beta ]==> ((a b)((a (^y.y))(a a))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(a a))) REDUCED to normal form. ------ 5561/159618. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (^z.(^x1.x1)))) 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. ------ 5562/159627. ------ 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. ------ 5563/159645. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(a (^y.a))) 3. ==[ beta ]==> ((a (a a))(a (^y.a))) 4. ==[ alpha ]==> ((a (a a))(a (^x.a))) REDUCED to normal form. ------ 5564/159672. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 5565/159681. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b b)) REDUCED to normal form. ------ 5566/159726. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a 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. ------ 5567/159735. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (a a))) REDUCED to normal form. ------ 5568/159753. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(^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. ------ 5569/159771. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^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. ------ 5570/159798. ------ 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. ------ 5571/159825. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> ((a (a (^y.y)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 5572/159843. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a b)) 2. ==[ alpha ]==> (((^x.(x x)) b)(a b)) 3. ==[ beta ]==> ((b b)(a b)) REDUCED to normal form. ------ 5573/159852. ------ 1. ==[ start ]==> (((a (a a))(a a))((a a) a)) REDUCED to normal form. ------ 5574/159879. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 5575/159888. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5576/159905. ------ 1. ==[ start ]==> (^a.(b (a (a a)))) 2. ==[ alpha ]==> (^x.(b (x (x x)))) REDUCED to normal form. ------ 5577/159906. ------ 1. ==[ start ]==> (a (b (a (a a)))) REDUCED to normal form. ------ 5578/159936. ------ 1. ==[ start ]==> ((^a.(a a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.((^z.z)(^x1.x1)))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5579/160161. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.(^y.(^z.(z z)))) REDUCED to normal form. ------ 5580/160728. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5581/160854. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 5582/160866. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a))) c) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) c) 3. ==[ beta ]==> ((^y.(^z.z)) c) 4. ==[ alpha ]==> ((^x.(^y.y)) c) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5583/160890. ------ 1. ==[ start ]==> ((^a.a)(b (a (a a)))) 2. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 5584/160911. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 5585/160917. ------ 1. ==[ start ]==> ((^a.(a a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x)(^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 (^x.x))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 5586/160920. ------ 1. ==[ start ]==> ((a (a a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(^x.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 5587/160944. ------ 1. ==[ start ]==> ((^a.b)((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.b)((a (a a))(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 5588/160980. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5589/161025. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(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. ------ 5590/161046. ------ 1. ==[ start ]==> (((a a) b)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 5591/161142. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(^z.(z z)))) 3. ==[ beta ]==> (^y.((a a)(^z.(z z)))) 4. ==[ alpha ]==> (^x.((a a)(^y.(y y)))) REDUCED to normal form. ------ 5592/161145. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 5593/161262. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(z z)))) REDUCED to normal form. ------ 5594/161370. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 5595/161385. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) 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. ------ 5596/161523. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5597/161604. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.c)) 3. ==[ beta ]==> ((a (a a))(^y.c)) 4. ==[ alpha ]==> ((a (a a))(^x.c)) REDUCED to normal form. ------ 5598/161613. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 5599/161667. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 5600/161709. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5601/161712. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 5602/161730. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(x (^y.y)))) REDUCED to normal form. ------ 5603/161802. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(a a))) 3. ==[ beta ]==> ((b b)(^y.(a a))) 4. ==[ alpha ]==> ((b b)(^x.(a a))) REDUCED to normal form. ------ 5604/161811. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.b)) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.b)) REDUCED to normal form. ------ 5605/161835. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(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. ------ 5606/161838. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 5607/161847. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 5608/161877. ------ 1. ==[ start ]==> ((a a)(b (a (a a)))) REDUCED to normal form. ------ 5609/161895. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(^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)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 5610/161904. ------ 1. ==[ start ]==> ((a (a a))(a ((^a.a)(^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. ------ 5611/161913. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5612/161931. ------ 1. ==[ start ]==> ((a b)((a (a a))(a a))) REDUCED to normal form. ------ 5613/161940. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y)) b)) 3. ==[ beta ]==> ((a a)((^y.(y y)) b)) 4. ==[ alpha ]==> ((a a)((^x.(x x)) b)) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 5614/161967. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 5615/161976. ------ 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. ------ 5616/161985. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 5617/162003. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 5618/162012. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 5619/162030. ------ 1. ==[ start ]==> (((a a) b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 5620/162048. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((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. ------ 5621/162057. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 5622/162075. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 5623/162084. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 5624/162102. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (^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. ------ 5625/162111. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 5626/162129. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 5627/162165. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5628/162210. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z)) c)) 3. ==[ beta ]==> ((^y.a)((a (^z.z)) c)) 4. ==[ alpha ]==> ((^x.a)((a (^y.y)) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 5629/162246. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(z z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(y y))) REDUCED to normal form. ------ 5630/162291. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a) b)) 3. ==[ beta ]==> (((^y.y) a)((^z.a) b)) 4. ==[ alpha ]==> (((^x.x) a)((^y.a) b)) 5. ==[ beta ]==> (a ((^y.a) b)) 6. ==[ alpha ]==> (a ((^x.a) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 5631/162300. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 5632/162327. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.a))) REDUCED to normal form. ------ 5633/162354. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 5634/162372. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) 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. ------ 5635/162417. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b c)) REDUCED to normal form. ------ 5636/162462. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(^a.a))) 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. ------ 5637/162480. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z)) b)) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z)) b)) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y)) b)) 5. ==[ beta ]==> (((a (^y.y)) b)((a (^y.y)) b)) 6. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y)) b)) REDUCED to normal form. ------ 5638/162507. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a) c)) 3. ==[ beta ]==> ((^y.y)((a a) c)) 4. ==[ alpha ]==> ((^x.x)((a a) c)) 5. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 5639/162543. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (^a.a))) 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. ------ 5640/162561. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 7. ==[ beta ]==> ((^y.(^z.z)) b) 8. ==[ alpha ]==> ((^x.(^y.y)) b) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5641/162570. ------ 1. ==[ start ]==> (((a (a a)) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 5642/162597. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 5643/162615. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.a))(^a.a))) 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. ------ 5644/162624. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 5645/162651. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 5646/162669. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.y)) a)) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y)) a)) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 5647/162678. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))(^a.a))) 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. ------ 5648/162696. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 5649/162714. ------ 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. ------ 5650/162741. ------ 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. ------ 5651/162768. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(b a)) 3. ==[ beta ]==> ((a (a (^y.y)))(b a)) 4. ==[ alpha ]==> ((a (a (^x.x)))(b a)) REDUCED to normal form. ------ 5652/162786. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 5653/162795. ------ 1. ==[ start ]==> (((a (a a))(a a))(a b)) REDUCED to normal form. ------ 5654/162822. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 5655/162831. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5656/162857. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5657/162858. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 5658/162888. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5659/163806. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 5660/163845. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a))) a) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z))) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 5661/163851. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^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. ------ 5662/163860. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5663/163878. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^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. ------ 5664/163881. ------ 1. ==[ start ]==> ((a (a a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 5665/163890. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5666/163941. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5667/163986. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (^z.(z z)))) 3. ==[ beta ]==> ((b (^z.(z z)))(^y.y)) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 5668/164124. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 5669/164175. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 5670/164223. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.d)) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.d)) REDUCED to normal form. ------ 5671/164421. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 5672/164445. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(^a.a))) 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. ------ 5673/164574. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.c)) REDUCED to normal form. ------ 5674/164670. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5675/164691. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 5676/164745. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 5677/164763. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.z))) 3. ==[ beta ]==> ((b b)(^y.(^z.z))) 4. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 5678/164772. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(a a))) REDUCED to normal form. ------ 5679/164796. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 5680/164799. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 5681/164808. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 5682/164835. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5683/164847. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 5684/164856. ------ 1. ==[ start ]==> ((a (^a.a))(b (a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (a (a a)))) REDUCED to normal form. ------ 5685/164874. ------ 1. ==[ start ]==> ((a (a a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 5686/164883. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 5687/164892. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 5688/164910. ------ 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. ------ 5689/164919. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 5690/164937. ------ 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. ------ 5691/164946. ------ 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)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 5692/164982. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 5693/164991. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(a (a a)))) 3. ==[ beta ]==> ((^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. ------ 5694/165027. ------ 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. ------ 5695/165054. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 5696/165081. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 5697/165117. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 5698/165135. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (a a)) a)) 3. ==[ beta ]==> ((^y.y)((a (a a)) a)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 5699/165144. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 5700/165171. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 5701/165180. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (a (^z.z)))) 3. ==[ beta ]==> ((^y.a)(c (a (^z.z)))) 4. ==[ alpha ]==> ((^x.a)(c (a (^y.y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 5702/165207. ------ 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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 5703/165243. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y)) a)) 3. ==[ beta ]==> ((a a)((^y.(y y)) a)) 4. ==[ alpha ]==> ((a a)((^x.(x x)) a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 5704/165261. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 5705/165270. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a) b)) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 5706/165288. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 5707/165360. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(a a))) 3. ==[ beta ]==> (((a a) a)((^y.a)(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(a a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 5708/165387. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(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. ------ 5709/165414. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 5710/165432. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a) a)) 3. ==[ beta ]==> ((a a)(((^y.y) a) a)) 4. ==[ alpha ]==> ((a a)(((^x.x) a) a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 5711/165441. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.y))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 5712/165477. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 5713/165513. ------ 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)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 5714/165531. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))(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)) REDUCED to normal form. ------ 5715/165540. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 5716/165558. ------ 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. ------ 5717/165594. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 5718/165621. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 5719/165648. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 5720/165666. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 5721/165684. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.a)(^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. ------ 5722/165711. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(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. ------ 5723/165738. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 5724/165756. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 5725/165765. ------ 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. ------ 5726/165792. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 5727/165801. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 5728/165828. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 5729/166335. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 5730/166824. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a))) b) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z))) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 5731/166848. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^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. ------ 5732/166878. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(^b.(^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. ------ 5733/166887. ------ 1. ==[ start ]==> (((a a) a)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(^x.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 5734/166893. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 5735/166995. ------ 1. ==[ start ]==> (((a a) b)(^c.(a (a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(a (a a)))) REDUCED to normal form. ------ 5736/167013. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^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. ------ 5737/167091. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5738/167163. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a) b)) 3. ==[ eta ]==> ((^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. ------ 5739/167238. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(y (y y)))) 3. ==[ beta ]==> ((a a)(^y.(y (y y)))) 4. ==[ alpha ]==> ((a a)(^x.(x (x x)))) REDUCED to normal form. ------ 5740/167334. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (^z.(z z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 5741/167337. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 5742/167433. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) 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. ------ 5743/167508. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.((^a.a) a))) 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. ------ 5744/167580. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 5745/167634. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 5746/167658. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))(^a.a))) 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. ------ 5747/167733. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.z)) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 5748/167784. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((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. ------ 5749/167796. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5750/167823. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5751/167853. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^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. ------ 5752/167862. ------ 1. ==[ start ]==> (((^a.a) a)(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)(b (a (a a)))) 3. ==[ beta ]==> (a (b (a (a a)))) REDUCED to normal form. ------ 5753/167880. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5754/167889. ------ 1. ==[ start ]==> (((a a) a)(a ((^a.a)(^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. ------ 5755/167898. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a b)((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 5756/167916. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 5757/167943. ------ 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)))) 5. ==[ beta ]==> (b (a (a (^y.y)))) 6. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 5758/167952. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a) c)) 2. ==[ alpha ]==> (((a a)(a a))((^x.a) c)) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 5759/167970. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((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. ------ 5760/167988. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5761/167997. ------ 1. ==[ start ]==> (((a a) b)((a a)(a (a a)))) REDUCED to normal form. ------ 5762/168015. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(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. ------ 5763/168042. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 5764/168069. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 5765/168096. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 5766/168114. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 5767/168141. ------ 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. ------ 5768/168168. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a) b)) 3. ==[ beta ]==> ((a a)(((^y.y) a) b)) 4. ==[ alpha ]==> ((a a)(((^x.x) a) b)) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 5769/168177. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 5770/168204. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5771/168213. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b ((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(b a)) REDUCED to normal form. ------ 5772/168240. ------ 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. ------ 5773/168267. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a a)(^x.a))(a (a a))) REDUCED to normal form. ------ 5774/168294. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 5775/168321. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 5776/168339. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 5777/168357. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) 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. ------ 5778/168384. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 5779/168411. ------ 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. ------ 5780/168438. ------ 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. ------ 5781/168447. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(^a.a))) 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. ------ 5782/168474. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5783/168510. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a ((^y.y) a))) 3. ==[ beta ]==> ((a b)(a ((^y.y) a))) 4. ==[ alpha ]==> ((a b)(a ((^x.x) a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 5784/168537. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 5785/168555. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 5786/168564. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 5787/168582. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(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. ------ 5788/168591. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c a)) REDUCED to normal form. ------ 5789/168618. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 5790/168636. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(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. ------ 5791/168663. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))(^a.a))) 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. ------ 5792/168681. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a a) b)) REDUCED to normal form. ------ 5793/168708. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 5794/168735. ------ 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. ------ 5795/168753. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b a)) 2. ==[ alpha ]==> (((^x.(x x)) b)(b a)) 3. ==[ beta ]==> ((b b)(b a)) REDUCED to normal form. ------ 5796/168762. ------ 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. ------ 5797/168789. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 5798/168798. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(^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. ------ 5799/168825. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 5800/168900. ------ 1. ==[ start ]==> ((^a.b)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 5801/169791. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 5802/169881. ------ 1. ==[ start ]==> ((^a.(a a))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))(b (a (a a)))) 3. ==[ beta ]==> ((b (a (a a)))(b (a (a a)))) REDUCED to normal form. ------ 5803/169902. ------ 1. ==[ start ]==> (((a a) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 5804/169908. ------ 1. ==[ start ]==> ((^a.b)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 5805/169911. ------ 1. ==[ start ]==> ((a b)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)(^x.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 5806/169944. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5807/169989. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^z.z))((^x1.x1) a))(^y.y)) 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. ------ 5808/170037. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 5809/170106. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (^x.((a (^y.y))(^z.a))) REDUCED to normal form. ------ 5810/170145. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 5811/170253. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 5812/170442. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.((^z.z) a))) 3. ==[ beta ]==> ((a a)(^y.((^z.z) a))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y) a))) 5. ==[ beta ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 5813/170523. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.a))) 3. ==[ beta ]==> ((a b)(^y.(^z.a))) 4. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 5814/170595. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.c)) 3. ==[ beta ]==> ((^y.y)(^x1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 5815/170604. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.z))) REDUCED to normal form. ------ 5816/170658. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 5817/170673. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5818/170721. ------ 1. ==[ start ]==> (((a (^a.a))((^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)))) REDUCED to normal form. ------ 5819/170766. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 5820/170799. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(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. ------ 5821/170802. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.b)) 3. ==[ beta ]==> ((a (^y.y))(^z.b)) 4. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 5822/170811. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 5823/170838. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.a)) 3. ==[ beta ]==> ((^y.y)(^x1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 5824/170886. ------ 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)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 5825/170895. ------ 1. ==[ start ]==> ((a (a a))(b (a (a a)))) REDUCED to normal form. ------ 5826/170913. ------ 1. ==[ start ]==> (((a a) a)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 5827/170922. ------ 1. ==[ start ]==> ((a b)(a ((^a.a)(^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. ------ 5828/170931. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 5829/170958. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 5830/170976. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(a (a (^x.x)))) REDUCED to normal form. ------ 5831/171003. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 5832/171021. ------ 1. ==[ start ]==> (((a a) b)(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)(b (^x.(x x)))) REDUCED to normal form. ------ 5833/171048. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(^z.z)))) REDUCED to normal form. ------ 5834/171066. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(^z.z))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 5835/171075. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 5836/171093. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 5837/171102. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 5838/171120. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 5839/171156. ------ 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)((^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. ------ 5840/171201. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a) b)) 3. ==[ beta ]==> ((^y.a)(((^z.z) a) b)) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 5841/171237. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 5842/171264. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 5843/171282. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y)) a)) 5. ==[ beta ]==> (a ((^y.(y y)) a)) 6. ==[ alpha ]==> (a ((^x.(x x)) a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 5844/171309. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a) b)) 3. ==[ beta ]==> ((^y.y)((^x1.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 5845/171345. ------ 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))) REDUCED to normal form. ------ 5846/171435. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b c)) 3. ==[ beta ]==> ((a (a a))(b c)) REDUCED to normal form. ------ 5847/171453. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 5848/171471. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a) a)) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a) a)) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a) a)) 5. ==[ beta ]==> ((((^y.y) a) a)(((^y.y) a) a)) 6. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a) a)) 7. ==[ beta ]==> ((a a)(((^y.y) a) a)) 8. ==[ alpha ]==> ((a a)(((^x.x) a) a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 5849/171498. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((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. ------ 5850/171534. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 5851/171552. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.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) 9. ==[ beta ]==> a REDUCED to normal form. ------ 5852/171579. ------ 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))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 5853/171588. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 5854/171615. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.a))) REDUCED to normal form. ------ 5855/171642. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 5856/171660. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 5857/171669. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 5858/171687. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 5859/171705. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (a a))) REDUCED to normal form. ------ 5860/171732. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a (a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (a (^y.y)))) REDUCED to normal form. ------ 5861/171759. ------ 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. ------ 5862/171777. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 5863/171786. ------ 1. ==[ start ]==> (((a (a a))(a a))(b a)) REDUCED to normal form. ------ 5864/171813. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a b)) 3. ==[ beta ]==> ((a (^y.y))(a b)) 4. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 5865/171822. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 5866/171849. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 5867/171875. ------ 1. ==[ start ]==> (^a.((^b.a)(^b.a))) 2. ==[ alpha ]==> (^x.((^y.x)(^z.x))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 5868/171876. ------ 1. ==[ start ]==> (a ((^b.a)(^b.a))) 2. ==[ alpha ]==> (a ((^x.a)(^y.a))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 5869/171933. ------ 1. ==[ start ]==> ((^a.b)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 5870/172473. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((^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)))) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 5871/172698. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5872/172824. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 5873/172896. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 3. ==[ beta ]==> ((^y.a)(^z.a)) 4. ==[ alpha ]==> ((^x.a)(^y.a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 5874/172923. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 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. ------ 5875/172950. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 5876/172953. ------ 1. ==[ start ]==> ((a b)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 5877/172962. ------ 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)))) 5. ==[ beta ]==> ((a a)(^x.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 5878/172986. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5879/173148. ------ 1. ==[ start ]==> ((^a.(^b.a))(c c)) 2. ==[ alpha ]==> ((^x.(^y.x))(c c)) 3. ==[ beta ]==> (^y.(c c)) 4. ==[ alpha ]==> (^x.(c c)) REDUCED to normal form. ------ 5880/173187. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 5881/173196. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(a (a a)))) REDUCED to normal form. ------ 5882/173220. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))(^x1.x1))) 3. ==[ eta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5883/173313. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(y (y y)))) 5. ==[ beta ]==> (a (^y.(y (y y)))) 6. ==[ alpha ]==> (a (^x.(x (x x)))) REDUCED to normal form. ------ 5884/173391. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 5885/173412. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 5886/173490. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)((^x1.x1) a))((^y1.y1)((^z1.z1) a)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)((^x1.x1) a))((^y1.y1)((^z1.z1) a)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)((^z.z) a))((^x1.x1)((^y1.y1) a)))) 7. ==[ beta ]==> (a (((^y.y)((^z.z) a))((^x1.x1)((^y1.y1) a)))) 8. ==[ alpha ]==> (a (((^x.x)((^y.y) a))((^z.z)((^x1.x1) a)))) 9. ==[ beta ]==> (a (((^y.y) a)((^z.z)((^x1.x1) a)))) 10. ==[ alpha ]==> (a (((^x.x) 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 ((^y.y) a))) 14. ==[ alpha ]==> (a (a ((^x.x) a))) 15. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 5887/173493. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.((^y.y) a))) 3. ==[ beta ]==> ((a (a (a a)))(^x.a)) REDUCED to normal form. ------ 5888/173565. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.c)) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.y)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 5889/173583. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(x x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.z)) 5. ==[ beta ]==> (((^y.y)(^y.y))(^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. ------ 5890/173646. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.c)) REDUCED to normal form. ------ 5891/173715. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5892/173718. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 5893/173763. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 5894/173808. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.b)) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.y)) 3. ==[ beta ]==> ((b b)(^y.y)) 4. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 5895/173817. ------ 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. ------ 5896/173841. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 5897/173844. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(a a))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 5898/173853. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5899/173880. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(x1 x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 5900/173919. ------ 1. ==[ start ]==> ((a a)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 5901/173946. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 5902/173955. ------ 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. ------ 5903/173973. ------ 1. ==[ start ]==> ((a b)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 5904/173982. ------ 1. ==[ start ]==> (((^a.a)(a a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 5905/173991. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 5906/174009. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 5907/174018. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x) 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. ------ 5908/174045. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 5909/174063. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5910/174090. ------ 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)((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. ------ 5911/174126. ------ 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. ------ 5912/174153. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 5913/174171. ------ 1. ==[ start ]==> ((a (^b.a))(c c)) 2. ==[ alpha ]==> ((a (^x.a))(c c)) REDUCED to normal form. ------ 5914/174189. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 5915/174207. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 5916/174216. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (a a))) REDUCED to normal form. ------ 5917/174243. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 5918/174288. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y)) c)) REDUCED to normal form. ------ 5919/174333. ------ 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. ------ 5920/174342. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 5921/174360. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 5922/174369. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 5923/174414. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a) a)) REDUCED to normal form. ------ 5924/174432. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a (^y.(y y)))) 3. ==[ beta ]==> (((a a) a)(a (^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)(a (^x.(x x)))) REDUCED to normal form. ------ 5925/174459. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 5926/174486. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 5927/174504. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a a)(^y.a))) 3. ==[ beta ]==> ((a a)((a a)(^y.a))) 4. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 5928/174513. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)((^y.y) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y) a)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x) a)) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 5929/174549. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c (a a))) 3. ==[ beta ]==> ((^y.y)(c (a a))) 4. ==[ alpha ]==> ((^x.x)(c (a a))) 5. ==[ beta ]==> (c (a a)) REDUCED to normal form. ------ 5930/174585. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a) c)) 3. ==[ beta ]==> ((a b)((a a) c)) REDUCED to normal form. ------ 5931/174603. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(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. ------ 5932/174612. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a) a)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a) a)) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 5933/174630. ------ 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))) REDUCED to normal form. ------ 5934/174639. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 5935/174657. ------ 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 (^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. ------ 5936/174666. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) c) REDUCED to normal form. ------ 5937/174693. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 5938/174711. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b b)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b b)) 3. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 5939/174720. ------ 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. ------ 5940/174738. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a c)) REDUCED to normal form. ------ 5941/174756. ------ 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)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 5942/174783. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 5943/174810. ------ 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))) REDUCED to normal form. ------ 5944/174828. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a) 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. ------ 5945/174837. ------ 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. ------ 5946/174864. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 5947/174873. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a b)) 3. ==[ beta ]==> ((^y.(^z.z))(a b)) 4. ==[ alpha ]==> ((^x.(^y.y))(a b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5948/174900. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(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. ------ 5949/175758. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5950/175974. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5951/176031. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 5952/176040. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 5953/176100. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((^z.a) c)(^y.y)) 4. ==[ alpha ]==> (((^x.a) c)(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 5954/176166. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.(^b.(^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. ------ 5955/176217. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 5956/176289. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a)) a)) 3. ==[ eta ]==> ((^y.y)((a (a a)) a)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 5957/176382. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(z z)))) 5. ==[ beta ]==> (a (^y.(^z.(z z)))) 6. ==[ alpha ]==> (a (^x.(^y.(y y)))) REDUCED to normal form. ------ 5958/176391. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(y (y y)))) REDUCED to normal form. ------ 5959/176460. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (^z.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 5960/176559. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)(^y.a))) 3. ==[ beta ]==> (((a a)(^y.a))(((a a)(^y.a))((a a)(^y.a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.a))((a a)(^z.a)))) REDUCED to normal form. ------ 5961/176571. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(y y))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z) a))) 5. ==[ beta ]==> ((^y.((^z.z) a))(^y.((^z.z) a))) 6. ==[ alpha ]==> ((^x.((^y.y) a))(^z.((^x1.x1) a))) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 5962/176652. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 7. ==[ beta ]==> (^y.(^z.a)) 8. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 5963/176661. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.((^a.a) a))) 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. ------ 5964/176715. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 5965/176784. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(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. ------ 5966/176787. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 5967/176877. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(a a))) 3. ==[ beta ]==> ((b b)(^y.(a a))) 4. ==[ alpha ]==> ((b b)(^x.(a a))) REDUCED to normal form. ------ 5968/176886. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.b)) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 5969/176910. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((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. ------ 5970/176922. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 5971/176949. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 5972/177006. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 5973/177033. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^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. ------ 5974/177042. ------ 1. ==[ start ]==> (((a a) a)(b (a (a a)))) REDUCED to normal form. ------ 5975/177060. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 5976/177069. ------ 1. ==[ start ]==> (((a a)(^a.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 5977/177096. ------ 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. ------ 5978/177105. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x)) b)) 3. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 5979/177123. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 5980/177132. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a) c)) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 5981/177150. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a a) b)((a (^x.x)) a)) REDUCED to normal form. ------ 5982/177168. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(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. ------ 5983/177177. ------ 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. ------ 5984/177195. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(a (^b.(^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. ------ 5985/177222. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(z z))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 5. ==[ beta ]==> ((^y.(y y))(a a)) 6. ==[ alpha ]==> ((^x.(x x))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 5986/177249. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 5987/177267. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 5988/177294. ------ 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. ------ 5989/177321. ------ 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. ------ 5990/177330. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 5991/177357. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 5992/177366. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (a (^y.y)))) REDUCED to normal form. ------ 5993/177393. ------ 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))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 5994/177411. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 5995/177420. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (a (a a)))) REDUCED to normal form. ------ 5996/177447. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 5997/177474. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))(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)))) REDUCED to normal form. ------ 5998/177492. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 5999/177537. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) 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. ------ 6000/177564. ------ 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. ------ 6001/177582. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b c)) 2. ==[ alpha ]==> (((^x.(x x)) a)(b c)) 3. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 6002/177591. ------ 1. ==[ start ]==> ((a (a (a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.a))) REDUCED to normal form. ------ 6003/177600. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((^y.y)((^z.z) a))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> (((^y.y) a)((^z.z)((^x1.x1) a))) 8. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.z) a))) 9. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 10. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 11. ==[ beta ]==> (a ((^y.y) a)) 12. ==[ alpha ]==> (a ((^x.x) a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 6004/177627. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)(^a.a))) 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. ------ 6005/177663. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b (a (^y.y)))) 3. ==[ beta ]==> ((a b)(b (a (^y.y)))) 4. ==[ alpha ]==> ((a b)(b (a (^x.x)))) REDUCED to normal form. ------ 6006/177681. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(^x1.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. ------ 6007/177690. ------ 1. ==[ start ]==> (((a (a a)) a)(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)(a ((^x.x) a))) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 6008/177717. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 6009/177735. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 6010/177744. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(a (^z.z)))) REDUCED to normal form. ------ 6011/177789. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(a 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. ------ 6012/177798. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b b)) REDUCED to normal form. ------ 6013/177816. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 6014/177834. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x)) a)) REDUCED to normal form. ------ 6015/177861. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a a) b)) 3. ==[ beta ]==> (((a (^x.x)) a)((a a) b)) REDUCED to normal form. ------ 6016/177888. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 6017/177906. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a a)(a a))) 3. ==[ beta ]==> ((b b)((a a)(a a))) REDUCED to normal form. ------ 6018/177915. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.a) b)) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x) b)) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 6019/177942. ------ 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))) REDUCED to normal form. ------ 6020/177951. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6021/177978. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6022/178845. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6023/179115. ------ 1. ==[ start ]==> ((^a.b)(b (a (a a)))) 2. ==[ alpha ]==> ((^x.b)(b (a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 6024/179136. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 6025/179151. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6026/179196. ------ 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 ]==> ((((^z.z) a)(a (^x1.x1)))(^y.y)) 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. ------ 6027/179271. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 6028/179313. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 6029/179487. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 6030/179655. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b c)) 2. ==[ alpha ]==> ((^x.(x (x x)))(b c)) 3. ==[ beta ]==> ((b c)((b c)(b c))) REDUCED to normal form. ------ 6031/179757. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.a))) REDUCED to normal form. ------ 6032/179838. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 6033/179880. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6034/179883. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 6035/179955. ------ 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)))) REDUCED to normal form. ------ 6036/180006. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(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. ------ 6037/180018. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6038/180120. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.a))) 3. ==[ beta ]==> (a ((^y.a)(^z.a))) 4. ==[ alpha ]==> (a ((^x.a)(^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 6039/180147. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 6040/180156. ------ 1. ==[ start ]==> ((a b)(b (a (a a)))) REDUCED to normal form. ------ 6041/180174. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 6042/180192. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 6043/180210. ------ 1. ==[ start ]==> (((a a)(a a))((a (a a))(a a))) REDUCED to normal form. ------ 6044/180237. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 6045/180246. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 6046/180255. ------ 1. ==[ start ]==> (((a a) b)(c (^b.a))) 2. ==[ alpha ]==> (((a a) b)(c (^x.a))) REDUCED to normal form. ------ 6047/180282. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.(y y)))) REDUCED to normal form. ------ 6048/180309. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 6049/180327. ------ 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))(^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. ------ 6050/180336. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 6051/180354. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 6052/180390. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6053/180435. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a)) a)) 3. ==[ beta ]==> ((^y.a)((a (a a)) a)) 4. ==[ alpha ]==> ((^x.a)((a (a a)) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 6054/180462. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 6055/180471. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 6056/180498. ------ 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 6057/180525. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 6058/180543. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 6059/180615. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 6060/180687. ------ 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 a)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 6061/180696. ------ 1. ==[ start ]==> ((a (a (a a)))(b c)) REDUCED to normal form. ------ 6062/180705. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.a))) 3. ==[ beta ]==> ((^y.(y y))((a a)(^z.a))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(^y.a))) 5. ==[ beta ]==> (((a a)(^y.a))((a a)(^y.a))) 6. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 6063/180732. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^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. ------ 6064/180768. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 6065/180795. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)(^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. ------ 6066/180813. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a) a)) 3. ==[ beta ]==> ((a (a a))((^y.a) a)) 4. ==[ alpha ]==> ((a (a a))((^x.a) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 6067/180840. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 6068/180849. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 6069/180876. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 6070/180894. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 6071/180903. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 6072/180921. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 6073/180966. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b (a a))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (a a))) REDUCED to normal form. ------ 6074/180993. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a (a (^z.z)))) 3. ==[ beta ]==> ((a (a (^y.y)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 6075/181011. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b (^y.y))) 3. ==[ beta ]==> ((b b)(b (^y.y))) 4. ==[ alpha ]==> ((b b)(b (^x.x))) REDUCED to normal form. ------ 6076/181020. ------ 1. ==[ start ]==> (((a (a a))(a a))((a a)(a a))) REDUCED to normal form. ------ 6077/181047. ------ 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)) REDUCED to normal form. ------ 6078/181056. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6079/181083. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((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. ------ 6080/181136. ------ 1. ==[ start ]==> (^a.((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.((^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. ------ 6081/181137. ------ 1. ==[ start ]==> (a ((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6082/181230. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6083/181464. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(a (a a)))) 3. ==[ eta ]==> ((^y.y)(^z.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 6084/182085. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6085/182178. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a))) a) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z))) a) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z))) a) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) a) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 6086/182184. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 5. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6087/182211. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.a))) 3. ==[ beta ]==> (((^y.a)(^z.a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.a))) 5. ==[ beta ]==> (a ((^z.a)(^x1.a))) 6. ==[ alpha ]==> (a ((^x.a)(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 6088/182238. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 6089/182274. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6090/182277. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 6091/182508. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(a (a a)))) 3. ==[ eta ]==> ((^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. ------ 6092/182511. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(a (a a)))) 3. ==[ beta ]==> ((a a)(^y.(a (a a)))) 4. ==[ alpha ]==> ((a a)(^x.(a (a a)))) REDUCED to normal form. ------ 6093/182610. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.d)) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.d)) REDUCED to normal form. ------ 6094/182628. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 6095/182679. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 6096/182727. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 6097/182778. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.(^y1.y1))(a (^z1.z1)))((^x2.(^y2.y2))(a (^z2.z2))))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(a (^z1.z1)))((^x2.(^y2.y2))(a (^z2.z2))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2))))) 7. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 8. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6098/182898. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.((^a.a) a))) 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. ------ 6099/182961. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 6100/183003. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6101/183024. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(a (^y.y)))) REDUCED to normal form. ------ 6102/183078. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 6103/183129. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6104/183132. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 6105/183168. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.b)) 3. ==[ beta ]==> ((^y.y)(^x1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 6106/183222. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.x1)) 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. ------ 6107/183234. ------ 1. ==[ start ]==> ((a a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 6108/183261. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 6109/183288. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 6110/183297. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (a (a a)))) 3. ==[ beta ]==> ((a a)(b (a (a a)))) REDUCED to normal form. ------ 6111/183324. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 6112/183333. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x) 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. ------ 6113/183360. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(z z)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 5. ==[ beta ]==> ((^y.(y y)) b) 6. ==[ alpha ]==> ((^x.(x x)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 6114/183378. ------ 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 ]==> ((^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. ------ 6115/183387. ------ 1. ==[ start ]==> (((a a) b)((^b.a) c)) 2. ==[ alpha ]==> (((a a) b)((^x.a) c)) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 6116/183405. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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. ------ 6117/183432. ------ 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. ------ 6118/183468. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.z))) REDUCED to normal form. ------ 6119/183504. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 6120/183522. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((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. ------ 6121/183531. ------ 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))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 6122/183558. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 6123/183603. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a) b)) 3. ==[ beta ]==> (((a (^x.x)) b)(a b)) REDUCED to normal form. ------ 6124/183648. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b ((^z.z) a))) 3. ==[ beta ]==> (((^y.y) a)(b ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) a)(b ((^y.y) a))) 5. ==[ beta ]==> (a (b ((^y.y) a))) 6. ==[ alpha ]==> (a (b ((^x.x) a))) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 6125/183675. ------ 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)(a (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 6126/183684. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 6127/183711. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.a) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.a) b)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 6128/183729. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 6129/183747. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.a))) 3. ==[ beta ]==> (((a a) a)(b (^y.a))) 4. ==[ alpha ]==> (((a a) a)(b (^x.a))) REDUCED to normal form. ------ 6130/183774. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 6131/183801. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)(a a))) 3. ==[ beta ]==> ((a (a a))((^y.a)(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(a a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 6132/183819. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 6133/183828. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 6134/183837. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b c)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b c)) 3. ==[ beta ]==> ((^y.(y y))(b c)) 4. ==[ alpha ]==> ((^x.(x x))(b c)) 5. ==[ beta ]==> ((b c)(b c)) REDUCED to normal form. ------ 6135/183900. ------ 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. ------ 6136/183918. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(b (a (^z.z)))) 6. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 6137/183945. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(a ((^a.a) 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. ------ 6138/183954. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a) a)) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 6139/183972. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 5. ==[ beta ]==> ((a (^y.y))(a a)) 6. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 6140/183981. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 6141/184035. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 6142/184053. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 6143/184071. ------ 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. ------ 6144/184098. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^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. ------ 6145/184125. ------ 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)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 6146/184143. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 6147/184152. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(b (^x.x))) REDUCED to normal form. ------ 6148/184179. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 6149/184188. ------ 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. ------ 6150/184215. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 6151/184269. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a a)) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 6152/184277. ------ 1. ==[ start ]==> (^a.((a (a a)) b)) 2. ==[ alpha ]==> (^x.((x (x x)) b)) REDUCED to normal form. ------ 6153/184278. ------ 1. ==[ start ]==> (a ((a (a a)) b)) REDUCED to normal form. ------ 6154/184371. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6155/185226. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 6156/185319. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a))) b) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z))) b) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 6157/185328. ------ 1. ==[ start ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 6158/185334. ------ 1. ==[ start ]==> ((^a.a)((a (a a)) b)) 2. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 6159/185343. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))(^a.(^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. ------ 6160/185424. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6161/185427. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 6162/185436. ------ 1. ==[ start ]==> (((^a.a) b)(^a.((^a.a)(^a.a)))) 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)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 6163/185469. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((^z.(z z)) b)(^y.y)) 4. ==[ alpha ]==> (((^x.(x x)) b)(^y.y)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 6164/185562. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 6165/185586. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(a a))) 3. ==[ beta ]==> (^y.((^z.(z z))(a a))) 4. ==[ alpha ]==> (^x.((^y.(y y))(a a))) 5. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 6166/185658. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(^z.(z z)))) 3. ==[ eta ]==> ((^y.y)((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 6167/185670. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.a)(^z.(a (a a)))) 4. ==[ alpha ]==> ((^x.a)(^y.(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 6168/185778. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 6169/185787. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 (x1 x1)))) REDUCED to normal form. ------ 6170/185928. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a (^x1.x1))(^y1.(^z1.z1)))((a (^x2.x2))(^y2.(^z2.z2))))) REDUCED to normal form. ------ 6171/185967. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^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. ------ 6172/186048. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.a))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.a))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.a))) REDUCED to normal form. ------ 6173/186057. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 6174/186129. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.y))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.y))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 6175/186153. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6176/186246. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 6177/186279. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a) 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. ------ 6178/186282. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.z)) 3. ==[ beta ]==> ((a (^y.y))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 6179/186291. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6180/186318. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(a a))) 3. ==[ beta ]==> ((^y.y)(^x1.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 6181/186372. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.(^a.a))) 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. ------ 6182/186381. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.a)) 2. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 6183/186393. ------ 1. ==[ start ]==> ((a a)((a (a a)) b)) REDUCED to normal form. ------ 6184/186402. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))(^a.(^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. ------ 6185/186429. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.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. ------ 6186/186456. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 6187/186465. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (a (a a)))) REDUCED to normal form. ------ 6188/186483. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)(^b.(^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. ------ 6189/186492. ------ 1. ==[ start ]==> (((^a.a) b)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 6190/186501. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 6191/186519. ------ 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 a))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 6192/186528. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y)) b)) 3. ==[ beta ]==> ((a (a (^x.x)))(b b)) REDUCED to normal form. ------ 6193/186546. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> (((a a) b)(a (a (^y.y)))) 4. ==[ alpha ]==> (((a a) b)(a (a (^x.x)))) REDUCED to normal form. ------ 6194/186573. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^y.y)) a)) REDUCED to normal form. ------ 6195/186591. ------ 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)))) REDUCED to normal form. ------ 6196/186600. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 6197/186618. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 6198/186645. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a (^x.a))((a a)(a a))) REDUCED to normal form. ------ 6199/186663. ------ 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. ------ 6200/186681. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c c)) 3. ==[ beta ]==> ((^y.y)(c c)) 4. ==[ alpha ]==> ((^x.x)(c c)) 5. ==[ beta ]==> (c c) REDUCED to normal form. ------ 6201/186690. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 6202/186717. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.(y y)))) 3. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 6203/186726. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((^y.a)((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 6204/186753. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6205/186807. ------ 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 ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6206/186816. ------ 1. ==[ start ]==> (((a a)(^b.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(b ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.a))(b a)) REDUCED to normal form. ------ 6207/186834. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 6208/186843. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (a (a a)))) REDUCED to normal form. ------ 6209/186870. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((a (^y.y))(((^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. ------ 6210/186960. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 6211/186987. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 6212/186996. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 9. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 10. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6213/187023. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 6214/187059. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (a a))) 3. ==[ beta ]==> ((a b)(c (a a))) REDUCED to normal form. ------ 6215/187077. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))(^a.(^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. ------ 6216/187086. ------ 1. ==[ start ]==> (((a (a a)) a)(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(b (a (^x.x)))) REDUCED to normal form. ------ 6217/187104. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 6218/187113. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 6219/187140. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(a a))) REDUCED to normal form. ------ 6220/187167. ------ 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. ------ 6221/187185. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 6222/187212. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 6223/187230. ------ 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. ------ 6224/187257. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z)) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y)) a)) REDUCED to normal form. ------ 6225/187284. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a a) b)) 3. ==[ beta ]==> ((a (a (^y.y)))((a a) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a) b)) REDUCED to normal form. ------ 6226/187302. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 6227/187311. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^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. ------ 6228/187338. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a) 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. ------ 6229/187347. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6230/187374. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 6231/187428. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a (^a.a))) 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. ------ 6232/187437. ------ 1. ==[ start ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 6233/188496. ------ 1. ==[ start ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 6234/188520. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 6235/188565. ------ 1. ==[ start ]==> ((^a.b)(c ((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)(c ((^y.y) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 6236/188613. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(^b.(^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. ------ 6237/188622. ------ 1. ==[ start ]==> (((a a)(a a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 6238/188646. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a 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. ------ 6239/188748. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 6240/188763. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))(^z.z))) 3. ==[ beta ]==> (^y.((a (a a))(^z.z))) 4. ==[ alpha ]==> (^x.((a (a a))(^y.y))) REDUCED to normal form. ------ 6241/188847. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.(z z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 6242/188964. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 6243/189006. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 6244/189144. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 6245/189234. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 6246/189306. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.c)) 3. ==[ beta ]==> (((a a)(a a))(^y.c)) 4. ==[ alpha ]==> (((a a)(a a))(^x.c)) REDUCED to normal form. ------ 6247/189315. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 6248/189330. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))(^a.a))) 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. ------ 6249/189423. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 6250/189432. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 6251/189456. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((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. ------ 6252/189468. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 6253/189549. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.a)) 5. ==[ beta ]==> ((^y.y)(^y1.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 6254/189558. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 6255/189588. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a)) b)) 2. ==[ alpha ]==> ((a (^x.x))((a (a a)) b)) REDUCED to normal form. ------ 6256/189597. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6257/189624. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 6258/189633. ------ 1. ==[ start ]==> ((a b)(c ((^a.a) a))) 2. ==[ alpha ]==> ((a b)(c ((^x.x) a))) 3. ==[ beta ]==> ((a b)(c a)) REDUCED to normal form. ------ 6259/189651. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^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. ------ 6260/189678. ------ 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)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 6261/189687. ------ 1. ==[ start ]==> (((a a)(a a))(a ((^a.a)(^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. ------ 6262/189714. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 6263/189723. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6264/189750. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 6265/189786. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 6266/189813. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 6267/189831. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.y))) REDUCED to normal form. ------ 6268/189867. ------ 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)((^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. ------ 6269/189912. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.a)((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.a)((a a)(^y.(y y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 6270/189939. ------ 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)((a (a a)) a)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 6271/189948. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^z.z))) 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. ------ 6272/189975. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 6273/190002. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 6274/190029. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(y1 y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 6275/190074. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a) b)) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 6276/190092. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 6277/190119. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 6278/190164. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(a a))) 3. ==[ beta ]==> ((a a)((^y.a)(a a))) 4. ==[ alpha ]==> ((a a)((^x.a)(a a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 6279/190182. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^y.y))(^z.(^x1.x1)))((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 6280/190209. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 6281/190245. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)(^a.a))) 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. ------ 6282/190263. ------ 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)(^y.y))((a (^z.z)) 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) REDUCED to normal form. ------ 6283/190272. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))(^a.(^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. ------ 6284/190299. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 6285/190317. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 6286/190326. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (^z.z))) REDUCED to normal form. ------ 6287/190353. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 6288/190380. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.a))) REDUCED to normal form. ------ 6289/190398. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 6290/190416. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b b)) REDUCED to normal form. ------ 6291/190470. ------ 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. ------ 6292/190488. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 6293/190497. ------ 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. ------ 6294/190524. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 6295/190533. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a) 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. ------ 6296/190560. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((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. ------ 6297/190614. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a) 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. ------ 6298/190623. ------ 1. ==[ start ]==> (((a (a a)) b)(a (^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)(a (^x.x))) REDUCED to normal form. ------ 6299/190640. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6300/190641. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6301/191691. ------ 1. ==[ start ]==> (((a (a a)) b) c) REDUCED to normal form. ------ 6302/191715. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^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. ------ 6303/191742. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 7. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 11. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6304/191769. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 6305/191805. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6306/191826. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 6307/192039. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ eta ]==> ((^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. ------ 6308/192210. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 6309/192285. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 6310/192309. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)(a a))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> (a (((^y.a)(a a))((^z.a)(a a)))) 6. ==[ alpha ]==> (a (((^x.a)(a a))((^y.a)(a a)))) 7. ==[ beta ]==> (a (a ((^y.a)(a a)))) 8. ==[ alpha ]==> (a (a ((^x.a)(a a)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 6311/192456. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))((^z.z) a))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6312/192519. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.c)) REDUCED to normal form. ------ 6313/192534. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6314/192582. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(a (^z.z)))) REDUCED to normal form. ------ 6315/192627. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.b)) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.b)) 3. ==[ beta ]==> ((b b)(^y.b)) 4. ==[ alpha ]==> ((b b)(^x.b)) REDUCED to normal form. ------ 6316/192636. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 6317/192660. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b (^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. ------ 6318/192672. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6319/192753. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 y1))) 5. ==[ beta ]==> ((^y.y)(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 6320/192762. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.a)) 2. ==[ alpha ]==> (((a (a a)) b)(^x.a)) REDUCED to normal form. ------ 6321/192792. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 6322/192810. ------ 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. ------ 6323/192819. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 6324/192846. ------ 1. ==[ start ]==> ((a b)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 6325/192882. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 6326/192900. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)(^b.(^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. ------ 6327/192918. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 6328/192936. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(a a))) 3. ==[ beta ]==> ((^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. ------ 6329/192945. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a) b)((^x.(x x)) b)) 3. ==[ beta ]==> (((a a) b)(b b)) REDUCED to normal form. ------ 6330/192963. ------ 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)(((^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. ------ 6331/192972. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a) c)) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 6332/192990. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 6333/193017. ------ 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)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 6334/193062. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 6335/193080. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 6336/193089. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 6337/193116. ------ 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 a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 6338/193161. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a)) a)) REDUCED to normal form. ------ 6339/193188. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a) b)) 3. ==[ beta ]==> ((a a)(((^y.y) a) b)) 4. ==[ alpha ]==> ((a a)(((^x.x) a) b)) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 6340/193215. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y)) c)) REDUCED to normal form. ------ 6341/193233. ------ 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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 6342/193269. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z)) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z)) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) a)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 6343/193287. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (a a))) REDUCED to normal form. ------ 6344/193332. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.a))) REDUCED to normal form. ------ 6345/193359. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(a (^y.(y y)))) 3. ==[ beta ]==> ((a (a a))(a (^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))(a (^x.(x x)))) REDUCED to normal form. ------ 6346/193377. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) 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. ------ 6347/193386. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(a a))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 6348/193422. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 6349/193458. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) 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. ------ 6350/193485. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.x)) b)) REDUCED to normal form. ------ 6351/193503. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b (a (^y.y)))) 3. ==[ beta ]==> ((a (a a))(b (a (^y.y)))) 4. ==[ alpha ]==> ((a (a a))(b (a (^x.x)))) REDUCED to normal form. ------ 6352/193530. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1) 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. ------ 6353/193539. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 6354/193566. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 6355/193584. ------ 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)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 6356/193611. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c a)) REDUCED to normal form. ------ 6357/193629. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^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. ------ 6358/193656. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)(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. ------ 6359/193683. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))(^a.a))) 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. ------ 6360/193701. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)((a a) b)) 3. ==[ beta ]==> ((b b)((a a) b)) REDUCED to normal form. ------ 6361/193710. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.a)(^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. ------ 6362/193737. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 6363/193746. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 6364/193773. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 6365/193827. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 6366/193836. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a) a)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x) a)) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 6367/193862. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z)) x)) 3. ==[ eta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6368/193863. ------ 1. ==[ start ]==> (a (((^a.a)(^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. ------ 6369/194118. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(^b.(^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. ------ 6370/194685. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6371/194940. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a) a) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a) a) 3. ==[ beta ]==> (((^y.y) a) a) 4. ==[ alpha ]==> (((^x.x) a) a) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 6372/194946. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^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. ------ 6373/194955. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6374/194973. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.(x x))((a (a a)) b)) 3. ==[ beta ]==> (((a (a a)) b)((a (a a)) b)) REDUCED to normal form. ------ 6375/195000. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a) c)) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 6376/195036. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6377/195075. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6378/195081. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^z.(^x1.x1)) a)(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6379/195198. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 6380/195201. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 6381/195270. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))(^x1.a))) 3. ==[ eta ]==> ((^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. ------ 6382/195309. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(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))) REDUCED to normal form. ------ 6383/195426. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(z (z z)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z (z z)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 6384/195540. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) 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. ------ 6385/195687. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 6386/195696. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 6387/195765. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6388/195768. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 6389/195891. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6390/195930. ------ 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)(^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. ------ 6391/195984. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(^a.a))) 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. ------ 6392/195993. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(a a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(x x))) REDUCED to normal form. ------ 6393/196020. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.z)) 3. ==[ beta ]==> (((^y.y) a)(^z.z)) 4. ==[ alpha ]==> (((^x.x) a)(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6394/196032. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^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. ------ 6395/196041. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 6396/196059. ------ 1. ==[ start ]==> ((a (a a))((a (a a)) b)) REDUCED to normal form. ------ 6397/196068. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))(^a.(^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. ------ 6398/196086. ------ 1. ==[ start ]==> ((a b)(((^a.a) a) c)) 2. ==[ alpha ]==> ((a b)(((^x.x) a) c)) 3. ==[ beta ]==> ((a b)(a c)) REDUCED to normal form. ------ 6399/196095. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 6400/196122. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 6401/196131. ------ 1. ==[ start ]==> (((^a.a) b)(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x) b)(b (a (a a)))) 3. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 6402/196158. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6403/196167. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 6404/196185. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(a a))) REDUCED to normal form. ------ 6405/196212. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (a (^y.y)))) REDUCED to normal form. ------ 6406/196239. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 6407/196257. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 6408/196266. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(a (a a)))) REDUCED to normal form. ------ 6409/196284. ------ 1. ==[ start ]==> ((a (^b.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 6410/196302. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 6411/196329. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 6412/196356. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 6413/196365. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 6414/196392. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 6415/196446. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 6416/196455. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (a (^y.y)))) REDUCED to normal form. ------ 6417/196473. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 6418/196482. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b a)) REDUCED to normal form. ------ 6419/196509. ------ 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. ------ 6420/196545. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a) b)) 3. ==[ beta ]==> (((a a) a)((^y.a) b)) 4. ==[ alpha ]==> (((a a) a)((^x.a) b)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 6421/196626. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) 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. ------ 6422/196635. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(a a))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(a a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(a a))) 5. ==[ beta ]==> (((^y.a)(a a))((^y.a)(a a))) 6. ==[ alpha ]==> (((^x.a)(a a))((^y.a)(a a))) 7. ==[ beta ]==> (a ((^y.a)(a a))) 8. ==[ alpha ]==> (a ((^x.a)(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 6423/196662. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6424/196716. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(^a.a))) 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. ------ 6425/196743. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.a))(^a.(^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. ------ 6426/196752. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (a (^y.y)))) REDUCED to normal form. ------ 6427/196770. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 6428/196779. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 6429/196806. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 6430/196824. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 6431/196833. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 6432/196851. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 6433/196869. ------ 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. ------ 6434/196896. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 6435/196923. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z)) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 6436/196941. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b (a a))) 3. ==[ beta ]==> ((b b)(b (a a))) REDUCED to normal form. ------ 6437/196950. ------ 1. ==[ start ]==> (((a (a a))(a a))((a a) b)) REDUCED to normal form. ------ 6438/196977. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 6439/196986. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 6440/197013. ------ 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)(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. ------ 6441/197067. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(^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. ------ 6442/197076. ------ 1. ==[ start ]==> (((a (a a)) b)(a (a a))) REDUCED to normal form. ------ 6443/197103. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(a a)) 3. ==[ beta ]==> (((^y.y) a)(a a)) 4. ==[ alpha ]==> (((^x.x) a)(a a)) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 6444/197250. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^z.((^x1.x1)(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6445/197934. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6446/198060. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 6447/198189. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a) b) 3. ==[ beta ]==> (((^y.y) a) b) 4. ==[ alpha ]==> (((^x.x) a) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 6448/198213. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6449/198333. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 6450/198339. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^z.z)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.z)) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 6451/198342. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 6452/198576. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a (a a)))) REDUCED to normal form. ------ 6453/198684. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 6454/198699. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z)) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 6455/198792. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 6456/198873. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((^z.z) a))) 3. ==[ beta ]==> ((a b)(^y.((^z.z) a))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y) a))) 5. ==[ beta ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 6457/198954. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.a))) REDUCED to normal form. ------ 6458/199023. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6459/199026. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 6460/199149. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(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. ------ 6461/199152. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 6462/199188. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6463/199251. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 6464/199278. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 6465/199292. ------ 1. ==[ start ]==> (^a.(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^x.(^y.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 6466/199293. ------ 1. ==[ start ]==> (a (^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a (^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (a (^x.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 6467/199308. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 6468/199317. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6469/199335. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((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. ------ 6470/199344. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 6471/199371. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 6472/199398. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 6473/199407. ------ 1. ==[ start ]==> (((a a)(a a))(b (a (a a)))) REDUCED to normal form. ------ 6474/199425. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6475/199434. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 6476/199443. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 6477/199470. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 6478/199497. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.a) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.a) c)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 6479/199533. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(z z)))) REDUCED to normal form. ------ 6480/199587. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 5. ==[ beta ]==> ((^y.(y y))(a a)) 6. ==[ alpha ]==> ((^x.(x x))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 6481/199632. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 6482/199659. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(y1 y1)))) 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. ------ 6483/199668. ------ 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 (^x.x)) b)(a (a a))) REDUCED to normal form. ------ 6484/199695. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 6485/199713. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 6486/199722. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 6487/199749. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 6488/199776. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^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. ------ 6489/199794. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y)) a)) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 6490/199812. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(a a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a a))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 6491/199839. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 6492/199866. ------ 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. ------ 6493/199884. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a (^y.(y y)))) 3. ==[ beta ]==> ((a a)(a (^y.(y y)))) 4. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 6494/199902. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) 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. ------ 6495/199929. ------ 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)((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. ------ 6496/199965. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 6497/199983. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) 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. ------ 6498/199992. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 6499/200010. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y)) b)) 3. ==[ beta ]==> ((a (a a))((a (^y.y)) b)) 4. ==[ alpha ]==> ((a (a a))((a (^x.x)) b)) REDUCED to normal form. ------ 6500/200019. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))(^a.(^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. ------ 6501/200046. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 6502/200091. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(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))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 6503/200100. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 6504/200118. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) c)) 3. ==[ beta ]==> ((a (^x.(^y.y))) c) REDUCED to normal form. ------ 6505/200163. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b b)) 3. ==[ beta ]==> (((a (^x.x)) a)(b b)) REDUCED to normal form. ------ 6506/200208. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(^a.a))) 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. ------ 6507/200217. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (a a))) REDUCED to normal form. ------ 6508/200244. ------ 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)))) REDUCED to normal form. ------ 6509/200253. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 6510/200280. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a) 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. ------ 6511/200334. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 6512/200343. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 6513/200370. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(a (^z.z))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 6514/200387. ------ 1. ==[ start ]==> (^a.((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^x.((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6515/200388. ------ 1. ==[ start ]==> (a ((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a ((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> (a ((^y.y)(^z.z))) 4. ==[ alpha ]==> (a ((^x.x)(^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6516/200391. ------ 1. ==[ start ]==> ((^a.a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6517/200526. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^z.(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6518/200643. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(a (a a)))) 4. ==[ alpha ]==> (^x.(^y.(a (a a)))) REDUCED to normal form. ------ 6519/200886. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(z (z z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 6520/200985. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((^y.(^z.(z z)))((^y.(^z.(z z)))(^y.(^z.(z z))))) 4. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.(x1 x1)))(^y1.(^z1.(z1 z1))))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 6521/201210. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6522/201336. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 6523/201483. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 6524/201489. ------ 1. ==[ start ]==> ((^a.a)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6525/201492. ------ 1. ==[ start ]==> ((a a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(^x.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 6526/201516. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 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. ------ 6527/201543. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 6528/201624. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^z.z)(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6529/201627. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 6530/201636. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^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. ------ 6531/201741. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(a (a a)))) 3. ==[ beta ]==> (^y.((a a)(a (a a)))) 4. ==[ alpha ]==> (^x.((a a)(a (a a)))) REDUCED to normal form. ------ 6532/201744. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 6533/201762. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 6534/201813. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(a (^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 6535/201861. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(z z)))) REDUCED to normal form. ------ 6536/201984. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 6537/201987. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y (y y)))) REDUCED to normal form. ------ 6538/202083. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (^y.(y y)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^y.(y y)))(a (^y.(y y))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(y y)))(a (^z.(z z))))) REDUCED to normal form. ------ 6539/202086. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 6540/202158. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.a))) 3. ==[ beta ]==> ((a b)(^y.(^z.a))) 4. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 6541/202239. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 6542/202308. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6543/202311. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 6544/202329. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.x))) REDUCED to normal form. ------ 6545/202383. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 6546/202434. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6547/202437. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 6548/202446. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(a (^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. ------ 6549/202527. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.b)) 5. ==[ beta ]==> ((^y.y)(^y1.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 6550/202536. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.a)) 2. ==[ alpha ]==> (((a (a a)) b)(^x.a)) REDUCED to normal form. ------ 6551/202563. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.a)) 3. ==[ beta ]==> (((^y.y) a)(^z.a)) 4. ==[ alpha ]==> (((^x.x) a)(^y.a)) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 6552/202581. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6553/202593. ------ 1. ==[ start ]==> ((a a)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 6554/202611. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^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. ------ 6555/202620. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 6556/202638. ------ 1. ==[ start ]==> (((a a) a)((a (a a)) b)) REDUCED to normal form. ------ 6557/202647. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 6558/202701. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 6559/202728. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 6560/202737. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^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. ------ 6561/202746. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 6562/202764. ------ 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)((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. ------ 6563/202773. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y)) b)) 3. ==[ beta ]==> (((a (^x.x)) a)(b b)) REDUCED to normal form. ------ 6564/202791. ------ 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 (^x.x))(a (a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 6565/202800. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 6566/202818. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a (^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. ------ 6567/202845. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(a (a a)))) REDUCED to normal form. ------ 6568/202863. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 6569/202881. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)((a (a 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. ------ 6570/202890. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(a a))) REDUCED to normal form. ------ 6571/202917. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 6572/202926. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c c)) 3. ==[ beta ]==> ((^y.a)(c c)) 4. ==[ alpha ]==> ((^x.a)(c c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 6573/202962. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.(y y)))) REDUCED to normal form. ------ 6574/202989. ------ 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. ------ 6575/203016. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a)(^x.a))(a b)) REDUCED to normal form. ------ 6576/203088. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (a (a a)))) REDUCED to normal form. ------ 6577/203160. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b (^y.a))) 3. ==[ beta ]==> ((a (a a))(b (^y.a))) 4. ==[ alpha ]==> ((a (a a))(b (^x.a))) REDUCED to normal form. ------ 6578/203187. ------ 1. ==[ start ]==> ((a (a (a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(a (^x.(x x)))) REDUCED to normal form. ------ 6579/203223. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c b)) 3. ==[ beta ]==> ((^y.y)(c b)) 4. ==[ alpha ]==> ((^x.x)(c b)) 5. ==[ beta ]==> (c b) REDUCED to normal form. ------ 6580/203259. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)(^b.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. ------ 6581/203286. ------ 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. ------ 6582/203313. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y)) b)) REDUCED to normal form. ------ 6583/203331. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 6584/203340. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a) c)) REDUCED to normal form. ------ 6585/203367. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) a)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 6586/203385. ------ 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 a))((a (^y.y))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 6587/203394. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 6588/203412. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 6589/203430. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.a))) REDUCED to normal form. ------ 6590/203457. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 6591/203484. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.a)(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. ------ 6592/203502. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y)) a)) 3. ==[ beta ]==> ((b b)((a (^y.y)) a)) 4. ==[ alpha ]==> ((b b)((a (^x.x)) a)) REDUCED to normal form. ------ 6593/203511. ------ 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))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 6594/203538. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 6595/203547. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6596/203574. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 6597/203628. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a b)) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 6598/203637. ------ 1. ==[ start ]==> (((a (a a)) b)((a a) a)) REDUCED to normal form. ------ 6599/203664. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.z) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 6600/203682. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a a)) 3. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 6601/203690. ------ 1. ==[ start ]==> (^a.((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.((x x)(^y.(^z.z)))) REDUCED to normal form. ------ 6602/203691. ------ 1. ==[ start ]==> (a ((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 6603/203703. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6604/204189. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 6605/204786. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a))) b) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z))) b) 3. ==[ beta ]==> (((^y.y)(^z.z)) b) 4. ==[ alpha ]==> (((^x.x)(^y.y)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 6606/204795. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a))) a) 2. ==[ alpha ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 6607/204801. ------ 1. ==[ start ]==> ((^a.a)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 6608/204810. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6609/204813. ------ 1. ==[ start ]==> ((a (^a.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 6610/204828. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^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. ------ 6611/204855. ------ 1. ==[ start ]==> ((^a.b)((a (a a)) b)) 2. ==[ alpha ]==> ((^x.b)((a (a a)) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 6612/204891. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6613/204948. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6614/204957. ------ 1. ==[ start ]==> (((a a) b)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(^x.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 6615/205053. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (^z.(z z)))) 3. ==[ beta ]==> (^y.(b (^z.(z z)))) 4. ==[ alpha ]==> (^x.(b (^y.(y y)))) REDUCED to normal form. ------ 6616/205125. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 6617/205296. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 6618/205299. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 6619/205407. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((^y.(^z.(z z)))(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 6620/205488. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 7. ==[ beta ]==> (^y.((^z.z) a)) 8. ==[ alpha ]==> (^x.((^y.y) a)) 9. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 6621/205578. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 6622/205620. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6623/205641. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.c)) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.c)) REDUCED to normal form. ------ 6624/205713. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.c)) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.c)) 3. ==[ beta ]==> ((b b)(^y.c)) 4. ==[ alpha ]==> ((b b)(^x.c)) REDUCED to normal form. ------ 6625/205746. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a a) b)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6626/205758. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6627/205839. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a a))) 5. ==[ beta ]==> ((^y.y)(^y1.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 6628/205848. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.b)) 2. ==[ alpha ]==> (((a (a a)) b)(^x.b)) REDUCED to normal form. ------ 6629/205875. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(z z))) 3. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 6630/205893. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6631/205902. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 6632/205914. ------ 1. ==[ start ]==> ((a a)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 6633/205923. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))((^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. ------ 6634/205941. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> ((a (a a))((^y.y) a)) 4. ==[ alpha ]==> ((a (a a))((^x.x) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 6635/205950. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6636/205968. ------ 1. ==[ start ]==> ((a b)((a (a a)) b)) REDUCED to normal form. ------ 6637/205977. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 6638/206004. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 6639/206013. ------ 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. ------ 6640/206040. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 6641/206058. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^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. ------ 6642/206067. ------ 1. ==[ start ]==> (((a a) b)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a) b)(a (^y.y))) 4. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 6643/206094. ------ 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. ------ 6644/206121. ------ 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. ------ 6645/206148. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((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. ------ 6646/206166. ------ 1. ==[ start ]==> ((a (^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(b (^y.(y y)))) REDUCED to normal form. ------ 6647/206211. ------ 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. ------ 6648/206238. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 6649/206247. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 6650/206274. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 6651/206328. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^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))) 7. ==[ beta ]==> (a ((^y.y)(^y.y))) 8. ==[ alpha ]==> (a ((^x.x)(^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6652/206355. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 6653/206391. ------ 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 (^x.x))(b a)) REDUCED to normal form. ------ 6654/206409. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(z z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 6655/206427. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a) a)((^y.(y y)) a)) 4. ==[ alpha ]==> (((a a) a)((^x.(x x)) a)) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 6656/206454. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 6657/206499. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 6658/206517. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (^z.(z z)))) 3. ==[ beta ]==> ((^y.(y y))(a (^z.(z z)))) 4. ==[ alpha ]==> ((^x.(x x))(a (^y.(y y)))) 5. ==[ beta ]==> ((a (^y.(y y)))(a (^y.(y y)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 6659/206544. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 6660/206580. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b c)) 2. ==[ alpha ]==> ((((^x.x) a) b)(b c)) 3. ==[ beta ]==> ((a b)(b c)) REDUCED to normal form. ------ 6661/206598. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)((^x1.x1) 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. ------ 6662/206625. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)(^a.a))) 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. ------ 6663/206652. ------ 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.(^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. ------ 6664/206661. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (a (^z.z)))) REDUCED to normal form. ------ 6665/206688. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 6666/206715. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 6667/206733. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 6668/206778. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))(^a.a))) 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. ------ 6669/206805. ------ 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. ------ 6670/206823. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a c)) 2. ==[ alpha ]==> (((^x.(x x)) b)(a c)) 3. ==[ beta ]==> ((b b)(a c)) REDUCED to normal form. ------ 6671/206832. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 6672/206859. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 6673/206868. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6674/206895. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(b (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 6675/206949. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(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. ------ 6676/206958. ------ 1. ==[ start ]==> (((a (a a)) b)(a b)) REDUCED to normal form. ------ 6677/206985. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(a (a a))) 3. ==[ beta ]==> (((^y.y) a)(a (a a))) 4. ==[ alpha ]==> (((^x.x) a)(a (a a))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 6678/207003. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6679/207012. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 6680/208125. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a))) b) 2. ==[ alpha ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 6681/208149. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6682/208161. ------ 1. ==[ start ]==> (((^a.a) a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (a (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (a (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (a (^x.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 6683/208275. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (a (a a)))) 3. ==[ beta ]==> ((b (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((b (a (a a)))(^x.x)) REDUCED to normal form. ------ 6684/208296. ------ 1. ==[ start ]==> (((a a) b)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 6685/208431. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(^b.(^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. ------ 6686/208539. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(a (a a)))) 3. ==[ beta ]==> ((a a)(^y.(a (a a)))) 4. ==[ alpha ]==> ((a a)(^x.(a (a a)))) REDUCED to normal form. ------ 6687/208656. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(y (y y)))) 3. ==[ beta ]==> (((a a) a)(^y.(y (y y)))) 4. ==[ alpha ]==> (((a a) a)(^x.(x (x x)))) REDUCED to normal form. ------ 6688/208734. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((a a)((^y.y) a))((a a)((^y.y) a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)((^y.y) a))((a a)((^z.z) a)))) 5. ==[ beta ]==> (((a a) a)(((a a)((^y.y) a))((a a)((^z.z) a)))) 6. ==[ alpha ]==> (((a a) a)(((a a)((^x.x) a))((a a)((^y.y) a)))) 7. ==[ beta ]==> (((a a) a)(((a a) a)((a a)((^y.y) a)))) 8. ==[ alpha ]==> (((a a) a)(((a a) a)((a a)((^x.x) a)))) 9. ==[ beta ]==> (((a a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 6689/208836. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) a)(^x.a)) REDUCED to normal form. ------ 6690/208917. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 6691/208959. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6692/209052. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(a (^z.z)))) 3. ==[ beta ]==> ((b b)(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((b b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 6693/209085. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b (a a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6694/209097. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6695/209187. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(a a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(a a))) REDUCED to normal form. ------ 6696/209214. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(^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. ------ 6697/209232. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.a)) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 6698/209241. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 6699/209271. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 6700/209280. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)((^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 ((^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. ------ 6701/209298. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z)) a) 6. ==[ alpha ]==> (((^x.x)(^y.y)) a) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 6702/209307. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 6703/209325. ------ 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. ------ 6704/209334. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))(^a.(^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. ------ 6705/209361. ------ 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))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 6706/209388. ------ 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)((^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. ------ 6707/209397. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (a (a a)))) REDUCED to normal form. ------ 6708/209415. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 6709/209433. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 6710/209460. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z)) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) b)) 5. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 6711/209487. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 6712/209532. ------ 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. ------ 6713/209550. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 6714/209595. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 6715/209622. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.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. ------ 6716/209631. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 6717/209658. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 6718/209676. ------ 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. ------ 6719/209685. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 6720/209703. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 6721/209712. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 6722/209739. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 6723/209775. ------ 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. ------ 6724/209802. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 6725/209829. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 6726/209847. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (^y.a))) 3. ==[ beta ]==> ((a a)(b (^y.a))) 4. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 6727/209856. ------ 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. ------ 6728/209892. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) 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. ------ 6729/209928. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 6730/209946. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(^z.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. ------ 6731/209955. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y) a)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x) a)) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 6732/209973. ------ 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. ------ 6733/209982. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 6734/210000. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((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. ------ 6735/210009. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 6736/210036. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 6737/210054. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.a) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.a) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 6738/210081. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 6739/210099. ------ 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. ------ 6740/210153. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(b b)) 3. ==[ beta ]==> ((a (a (^y.y)))(b b)) 4. ==[ alpha ]==> ((a (a (^x.x)))(b b)) REDUCED to normal form. ------ 6741/210171. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(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. ------ 6742/210207. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (a a))) 3. ==[ beta ]==> ((a (^y.y))(b (a a))) 4. ==[ alpha ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 6743/210216. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 6744/210243. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 6745/210297. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)(^a.a))) 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. ------ 6746/210306. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(a a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(a a))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 6747/210333. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6748/210351. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 6749/210360. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 6750/210377. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(x (x x)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6751/210378. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6752/210408. ------ 1. ==[ start ]==> ((^a.(a a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.((^z.z)(^x1.x1)))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6753/211482. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a))) c) 2. ==[ alpha ]==> (((a a)(^x.(^y.y))) c) REDUCED to normal form. ------ 6754/211500. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a))) a) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a))) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 6755/211506. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(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. ------ 6756/211533. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^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)))) 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. ------ 6757/211536. ------ 1. ==[ start ]==> ((a (a a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(^x.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 6758/211560. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 6759/211641. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.(y1 y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6760/211680. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^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. ------ 6761/211758. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (^x.((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> (^x.((a (^y.y)) a)) REDUCED to normal form. ------ 6762/211806. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 6763/211830. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))(a a))) 3. ==[ eta ]==> ((^y.y)((^z.(z z))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 5. ==[ beta ]==> ((^y.(y y))(a a)) 6. ==[ alpha ]==> ((^x.(x x))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 6764/212001. ------ 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. ------ 6765/212022. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 6766/212100. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (^y.a))) 3. ==[ beta ]==> ((b (^y.a))((b (^y.a))(b (^y.a)))) 4. ==[ alpha ]==> ((b (^x.a))((b (^y.a))(b (^z.a)))) REDUCED to normal form. ------ 6767/212301. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.(x x))(a a))(^z.z)) 4. ==[ alpha ]==> (((^x.(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. ------ 6768/212325. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6769/212373. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.y))) REDUCED to normal form. ------ 6770/212418. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 6771/212427. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 6772/212451. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))(^a.a))) 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. ------ 6773/212490. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 6774/212553. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 6775/212598. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 6776/212607. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 6777/212625. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 6778/212637. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 6779/212655. ------ 1. ==[ start ]==> (((^a.a) a)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 6780/212664. ------ 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))((^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. ------ 6781/212682. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> (((a a) a)((^y.y) a)) 4. ==[ alpha ]==> (((a a) a)((^x.x) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 6782/212691. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 6783/212709. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a)) b)) REDUCED to normal form. ------ 6784/212736. ------ 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)) 5. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 6785/212745. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 6786/212772. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^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. ------ 6787/212781. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6788/212808. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(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. ------ 6789/212817. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 6790/212835. ------ 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. ------ 6791/212844. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 6792/212862. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 6793/212871. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 6794/212889. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.a))((a (^y.y)) a)) REDUCED to normal form. ------ 6795/212907. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 6796/212934. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 6797/212961. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a a))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 6798/213006. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.a))) REDUCED to normal form. ------ 6799/213033. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a a)(^y.(y y)))) 3. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 6800/213060. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a)) a)) REDUCED to normal form. ------ 6801/213087. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 6802/213132. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(b a)) REDUCED to normal form. ------ 6803/213150. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 6804/213231. ------ 1. ==[ start ]==> ((a (a (a a)))(b (^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))(b (^x.a))) REDUCED to normal form. ------ 6805/213240. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((^y.(y y))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.(x x))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a a)((^y.y) a))((a a)((^y.y) a))) 6. ==[ alpha ]==> (((a a)((^x.x) a))((a a)((^y.y) a))) 7. ==[ beta ]==> (((a a) a)((a a)((^y.y) a))) 8. ==[ alpha ]==> (((a a) a)((a a)((^x.x) a))) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 6806/213303. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 6807/213321. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b c)) 3. ==[ beta ]==> (((^y.y)(^y.y))(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. ------ 6808/213330. ------ 1. ==[ start ]==> (((a (a a)) a)((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.a))) REDUCED to normal form. ------ 6809/213357. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a) a)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 6810/213384. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z)) b)) REDUCED to normal form. ------ 6811/213429. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 6812/213438. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a) a)) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 6813/213456. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 6814/213474. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 6815/213501. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a (^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.a))) REDUCED to normal form. ------ 6816/213528. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 6817/213546. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 6818/213555. ------ 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. ------ 6819/213582. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))(^a.a))) 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. ------ 6820/213591. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6821/213618. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 6822/213672. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b a)) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 6823/213681. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((a a)(^x.x))) REDUCED to normal form. ------ 6824/213708. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a a) a)) 3. ==[ beta ]==> (((^y.y) a)((a a) a)) 4. ==[ alpha ]==> (((^x.x) a)((a a) a)) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 6825/213726. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 6826/213735. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 6827/213753. ------ 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 a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 6828/213761. ------ 1. ==[ start ]==> (^a.((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (^x.((x (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 6829/213762. ------ 1. ==[ start ]==> (a ((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (a ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 6830/214884. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a))) b) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a))) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 6831/214893. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a))) a) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 6832/214899. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(^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. ------ 6833/214908. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 6834/214926. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 6835/214938. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6836/214953. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 6837/214989. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6838/215073. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^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. ------ 6839/215082. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 6840/215151. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (^z.a))) 3. ==[ beta ]==> (^y.(c (^z.a))) 4. ==[ alpha ]==> (^x.(c (^y.a))) REDUCED to normal form. ------ 6841/215190. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 6842/215223. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))(^z.z))) 3. ==[ eta ]==> ((^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. ------ 6843/215316. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(a (a a)))) 5. ==[ beta ]==> (a (^y.(a (a a)))) 6. ==[ alpha ]==> (a (^x.(a (a a)))) REDUCED to normal form. ------ 6844/215394. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 6845/215532. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^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. ------ 6846/215613. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 6847/215694. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 6848/215703. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.((^a.a) a))) 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. ------ 6849/215718. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6850/215766. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.c)) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.c)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.c)) REDUCED to normal form. ------ 6851/215844. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((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. ------ 6852/215883. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 6853/215937. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 6854/215973. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.b)) 3. ==[ beta ]==> (((^y.y) a)(^z.b)) 4. ==[ alpha ]==> (((^x.x) a)(^y.b)) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 6855/215991. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6856/216000. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 6857/216018. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6858/216027. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 6859/216039. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 6860/216048. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 6861/216066. ------ 1. ==[ start ]==> ((a (a a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 6862/216075. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6863/216093. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> ((a b)((^y.y) a)) 4. ==[ alpha ]==> ((a b)((^x.x) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 6864/216102. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 6865/216129. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 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. ------ 6866/216183. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^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. ------ 6867/216192. ------ 1. ==[ start ]==> (((a a) b)(b (a (a a)))) REDUCED to normal form. ------ 6868/216210. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 6869/216219. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 6870/216246. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 6871/216273. ------ 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))(^y.y))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a (^z.z)))) REDUCED to normal form. ------ 6872/216291. ------ 1. ==[ start ]==> ((a (^b.a))(c (^b.a))) 2. ==[ alpha ]==> ((a (^x.a))(c (^y.a))) REDUCED to normal form. ------ 6873/216327. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 6874/216363. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (a a))(^a.a))) 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. ------ 6875/216372. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(a a))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(a a))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 6876/216399. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 6877/216408. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c c)) 2. ==[ alpha ]==> (((a (^x.x)) b)(c c)) REDUCED to normal form. ------ 6878/216453. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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)))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 6879/216480. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6880/216534. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 6881/216579. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 6882/216606. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a) b)) 3. ==[ beta ]==> ((a (a a))((^y.a) b)) 4. ==[ alpha ]==> ((a (a a))((^x.a) b)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 6883/216624. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 6884/216642. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.a))) 3. ==[ beta ]==> ((^y.(y y))(b (^z.a))) 4. ==[ alpha ]==> ((^x.(x x))(b (^y.a))) 5. ==[ beta ]==> ((b (^y.a))(b (^y.a))) 6. ==[ alpha ]==> ((b (^x.a))(b (^y.a))) REDUCED to normal form. ------ 6885/216669. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 6886/216705. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c b)) 2. ==[ alpha ]==> ((((^x.x) a) b)(c b)) 3. ==[ beta ]==> ((a b)(c b)) REDUCED to normal form. ------ 6887/216723. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6888/216732. ------ 1. ==[ start ]==> (((a (a a)) a)(b c)) REDUCED to normal form. ------ 6889/216750. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 6890/216777. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(^a.a))) 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. ------ 6891/216786. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (a a))) REDUCED to normal form. ------ 6892/216813. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 6893/216831. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.a)) 6. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 6894/216840. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 6895/216858. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 6896/216876. ------ 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)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 6897/216930. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 6898/216948. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b b)) 2. ==[ alpha ]==> (((^x.(x x)) b)(b b)) 3. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 6899/216957. ------ 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. ------ 6900/216984. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 6901/216993. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))(^a.a))) 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. ------ 6902/217020. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6903/217074. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 6904/217083. ------ 1. ==[ start ]==> (((a (a a)) b)(b a)) REDUCED to normal form. ------ 6905/217110. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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. ------ 6906/217128. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6907/217137. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 6908/217155. ------ 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)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6909/217164. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 6910/218304. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a))) b) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 6911/218328. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6912/218367. ------ 1. ==[ start ]==> (((a a) a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(^x.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 6913/218409. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6914/218502. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 6915/218571. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a) c)) 3. ==[ beta ]==> (^y.((^z.a) c)) 4. ==[ alpha ]==> (^x.((^y.a) c)) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 6916/218745. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 6917/218862. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 6918/218913. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^z.z)))(((a (^y.y))(a (^z.z)))((a (^y.y))(a (^z.z))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a (^z.z))(a (^x1.x1)))((a (^y1.y1))(a (^z1.z1))))) REDUCED to normal form. ------ 6919/219042. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 6920/219123. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 6921/219138. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6922/219357. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.x1)) 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. ------ 6923/219366. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 6924/219393. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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. ------ 6925/219420. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 6926/219438. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 6927/219447. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 6928/219477. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 6929/219486. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (a ((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6930/219504. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 6931/219513. ------ 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)((^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. ------ 6932/219531. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 6933/219540. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 6934/219558. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 6935/219567. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 6936/219594. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 6937/219621. ------ 1. ==[ start ]==> (((a a) b)((^a.(^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. ------ 6938/219648. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^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. ------ 6939/219666. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^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))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 6940/219693. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(z z)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 5. ==[ beta ]==> ((^y.(y y)) b) 6. ==[ alpha ]==> ((^x.(x x)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 6941/219720. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a) c)) 2. ==[ alpha ]==> ((a (^x.a))((^y.a) c)) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 6942/219738. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 6943/219756. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 6944/219765. ------ 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. ------ 6945/219801. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))(^a.a))) 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 REDUCED to normal form. ------ 6946/219828. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 6947/219837. ------ 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 (^x.x)) b) a) REDUCED to normal form. ------ 6948/219864. ------ 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)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 6949/219882. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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. ------ 6950/219891. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(a (a a))) REDUCED to normal form. ------ 6951/219909. ------ 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)((a (a a)) a)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 6952/219918. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 6953/219945. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 6954/219981. ------ 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))) 5. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 6955/220008. ------ 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. ------ 6956/220035. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a a))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 6957/220062. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 6958/220134. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(a a))) 3. ==[ beta ]==> ((a b)((^y.a)(a a))) 4. ==[ alpha ]==> ((a b)((^x.a)(a a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 6959/220152. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 6960/220161. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 6961/220179. ------ 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. ------ 6962/220188. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 6963/220206. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^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. ------ 6964/220215. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 6965/220242. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 6966/220269. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 6967/220287. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 6968/220305. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))(a a))) REDUCED to normal form. ------ 6969/220332. ------ 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 (^x.x)) a)((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(a (^y.y)))) REDUCED to normal form. ------ 6970/220377. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 6971/220386. ------ 1. ==[ start ]==> (((a (a a))(a a))(b b)) REDUCED to normal form. ------ 6972/220422. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 6973/220449. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 6974/220503. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a) 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. ------ 6975/220512. ------ 1. ==[ start ]==> (((a (a a)) b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 6976/220539. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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. ------ 6977/220557. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 6978/220566. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 6979/220584. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a) 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. ------ 6980/220593. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.z))) REDUCED to normal form. ------ 6981/220610. ------ 1. ==[ start ]==> (^a.((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (^x.((^y.x)((^z.z) x))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 6982/220611. ------ 1. ==[ start ]==> (a ((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (a ((^x.a)((^y.y) a))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 6983/220668. ------ 1. ==[ start ]==> ((^a.b)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 6984/220938. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 6985/221433. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((^x.(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 6986/221559. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 6987/221766. ------ 1. ==[ start ]==> ((^a.a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((^y.a)((^z.z) a)) 4. ==[ alpha ]==> ((^x.a)((^y.y) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 6988/221793. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 6989/221820. ------ 1. ==[ start ]==> ((^a.b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 6990/221823. ------ 1. ==[ start ]==> ((a b)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)(^x.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 6991/221901. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^z.a)(^x1.a))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 6992/221967. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 6993/222018. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (^x.(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (^x.(a (a (^z.z)))) 6. ==[ alpha ]==> (^x.(a (a (^y.y)))) REDUCED to normal form. ------ 6994/222090. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (^z.(^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 6995/222093. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 6996/222192. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 6997/222309. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 6998/222399. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^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. ------ 6999/222585. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7000/222588. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 7001/222660. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 7002/222711. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)(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. ------ 7003/222714. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 7004/222723. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7005/222813. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.b)) 2. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 7006/222858. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 7007/222867. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 7008/222885. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 7009/222894. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.a)) REDUCED to normal form. ------ 7010/222924. ------ 1. ==[ start ]==> ((a a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a a)((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 7011/222942. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (a ((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (a ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 7012/222951. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 7013/222969. ------ 1. ==[ start ]==> (((a a) a)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 7014/222978. ------ 1. ==[ start ]==> ((a b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 7015/222996. ------ 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)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 7016/223023. ------ 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. ------ 7017/223032. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 7018/223059. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 7019/223095. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 7020/223122. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(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)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 7021/223131. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 7022/223149. ------ 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))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 7023/223158. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 7024/223176. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.a))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))(a (a (^y.y)))) REDUCED to normal form. ------ 7025/223221. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.(y y)))) REDUCED to normal form. ------ 7026/223248. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 7027/223293. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 7028/223320. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 7029/223347. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 7030/223374. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a)) a)) REDUCED to normal form. ------ 7031/223401. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a) b)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a) b)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a) b)) 5. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 7032/223437. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 7033/223464. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z z))) REDUCED to normal form. ------ 7034/223509. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a) b)) 3. ==[ beta ]==> ((a a)((^y.a) b)) 4. ==[ alpha ]==> ((a a)((^x.a) b)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 7035/223527. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a (^y.y))(a (^z.z)))((a (^y.y))(a (^z.z)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 7036/223554. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((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. ------ 7037/223590. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) 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. ------ 7038/223617. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 7039/223635. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b c)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b c)) 3. ==[ beta ]==> ((a (a a))(b c)) REDUCED to normal form. ------ 7040/223644. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.a))) REDUCED to normal form. ------ 7041/223671. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 7042/223698. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 7043/223716. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (a (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(b (a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(b (a (^x.x)))) REDUCED to normal form. ------ 7044/223743. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 7045/223788. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(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. ------ 7046/223815. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a (^z.a))) 3. ==[ beta ]==> ((a (a (^y.y)))(a (^z.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 7047/223833. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))(^a.a))) 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. ------ 7048/223842. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^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. ------ 7049/223869. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)(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. ------ 7050/223878. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a c)) 3. ==[ beta ]==> ((^y.(^z.z))(a c)) 4. ==[ alpha ]==> ((^x.(^y.y))(a c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7051/223905. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(b (a a))) 3. ==[ beta ]==> ((^y.y)(b (a a))) 4. ==[ alpha ]==> ((^x.x)(b (a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 7052/223959. ------ 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))(^y.(^z.z)))((a a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 7053/223968. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a) b)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x) b)) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 7054/223995. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a a)(^z.z))) 3. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 7055/224013. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 7056/224022. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 7057/224040. ------ 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 a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 7058/224049. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 7059/224075. ------ 1. ==[ start ]==> (^a.(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (^x.(((^y.y) x)(^z.x))) 3. ==[ beta ]==> (^x.(x (^z.x))) 4. ==[ alpha ]==> (^x.(x (^y.x))) REDUCED to normal form. ------ 7060/224076. ------ 1. ==[ start ]==> (a (((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (a (((^x.x) a)(^y.a))) 3. ==[ beta ]==> (a (a (^y.a))) 4. ==[ alpha ]==> (a (a (^x.a))) REDUCED to normal form. ------ 7061/224133. ------ 1. ==[ start ]==> ((^a.b)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 7062/224898. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7063/225234. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a)) a) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a)) a) 3. ==[ beta ]==> ((a (^y.a)) a) 4. ==[ alpha ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 7064/225240. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((^y.y) a)(^z.a)) 4. ==[ alpha ]==> (((^x.x) a)(^y.a)) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 7065/225249. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.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. ------ 7066/225267. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((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)))) REDUCED to normal form. ------ 7067/225294. ------ 1. ==[ start ]==> ((^a.b)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 7068/225297. ------ 1. ==[ start ]==> ((a b)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 7069/225306. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(^x.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 7070/225330. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))(^a.a))) 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. ------ 7071/225441. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.(^b.(^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. ------ 7072/225450. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 7073/225576. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(^b.(^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. ------ 7074/225684. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 7075/225735. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 7076/225834. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a) b)) 3. ==[ beta ]==> (((^y.a) b)(((^y.a) b)((^y.a) b))) 4. ==[ alpha ]==> (((^x.a) b)(((^y.a) b)((^z.a) b))) 5. ==[ beta ]==> (a (((^y.a) b)((^z.a) b))) 6. ==[ alpha ]==> (a (((^x.a) b)((^y.a) b))) 7. ==[ beta ]==> (a (a ((^y.a) b))) 8. ==[ alpha ]==> (a (a ((^x.a) b))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 7077/225981. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^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. ------ 7078/226059. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(^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. ------ 7079/226062. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 7080/226134. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.c)) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.c)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.c)) REDUCED to normal form. ------ 7081/226185. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7082/226197. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(a (^a.a)))) 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. ------ 7083/226287. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(a a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(a a))) REDUCED to normal form. ------ 7084/226332. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 7085/226341. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 7086/226359. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(^a.a))) 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. ------ 7087/226368. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(z z))) REDUCED to normal form. ------ 7088/226395. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.z)) 3. ==[ beta ]==> ((a (^y.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 7089/226407. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.a))) 3. ==[ beta ]==> ((a a)(a (^y.a))) 4. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 7090/226416. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 7091/226434. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 7092/226443. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 7093/226461. ------ 1. ==[ start ]==> ((a b)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 7094/226470. ------ 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)((^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. ------ 7095/226497. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))(^a.a))) 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. ------ 7096/226515. ------ 1. ==[ start ]==> (((a a)(a a))((a (a a)) b)) REDUCED to normal form. ------ 7097/226551. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7098/226560. ------ 1. ==[ start ]==> (((a a) b)(c ((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)(c ((^x.x) a))) 3. ==[ beta ]==> (((a a) b)(c a)) REDUCED to normal form. ------ 7099/226578. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 7100/226587. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (a (a a)))) REDUCED to normal form. ------ 7101/226605. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)(^b.(^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. ------ 7102/226614. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 7103/226641. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(a a))) REDUCED to normal form. ------ 7104/226677. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a) c)) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 7105/226695. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((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. ------ 7106/226740. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 7107/226767. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(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. ------ 7108/226821. ------ 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 (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 7109/226848. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 7110/226902. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 7111/226974. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y)) a)) 3. ==[ beta ]==> ((a (a a))((^y.(y y)) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(x x)) a)) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 7112/226992. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(a a))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 7113/227001. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a) b)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a) b)) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 7114/227037. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b (^x1.a))) 3. ==[ beta ]==> ((^y.y)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 7115/227091. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a a))) 5. ==[ beta ]==> ((^y.y)((^z.a)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 7. ==[ beta ]==> ((^y.a)(a a)) 8. ==[ alpha ]==> ((^x.a)(a a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 7116/227118. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 7117/227127. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b c)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b c)) REDUCED to normal form. ------ 7118/227145. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 7119/227199. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a))(^a.(^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. ------ 7120/227208. ------ 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. ------ 7121/227226. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(^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. ------ 7122/227244. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a) a)) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 7123/227271. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 7124/227316. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c a)) 2. ==[ alpha ]==> (((^x.(x x)) b)(c a)) 3. ==[ beta ]==> ((b b)(c a)) REDUCED to normal form. ------ 7125/227325. ------ 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. ------ 7126/227352. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 7127/227361. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(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. ------ 7128/227388. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))(^a.a))) 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. ------ 7129/227442. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.y1))) 5. ==[ beta ]==> ((^y.y)(b (^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(b (^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 7130/227451. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)(a a))) REDUCED to normal form. ------ 7131/227478. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b a)) 3. ==[ beta ]==> (((^y.y) a)(b a)) 4. ==[ alpha ]==> (((^x.x) a)(b a)) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 7132/227496. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 7133/227505. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 7134/227523. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 7135/227532. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (a a))) REDUCED to normal form. ------ 7136/227559. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a a)) 3. ==[ beta ]==> ((a (^y.a))(a a)) 4. ==[ alpha ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 7137/228390. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7138/228726. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a)) b) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a)) b) 3. ==[ beta ]==> ((a (^y.a)) b) 4. ==[ alpha ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 7139/228750. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7140/228816. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 7141/228831. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7142/228951. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 7143/228993. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z)) b)) 3. ==[ beta ]==> (^y.((^z.(z z)) b)) 4. ==[ alpha ]==> (^x.((^y.(y y)) b)) 5. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 7144/229065. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(a (a a)))) 3. ==[ eta ]==> ((^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. ------ 7145/229194. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a (a a)))) REDUCED to normal form. ------ 7146/229236. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 7147/229311. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(y (y y)))) 3. ==[ beta ]==> ((a (a a))(^y.(y (y y)))) 4. ==[ alpha ]==> ((a (a a))(^x.(x (x x)))) REDUCED to normal form. ------ 7148/229335. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((^x.x) a)(a a))((((^y.y) a)(a a))(((^z.z) a)(a a)))) 5. ==[ beta ]==> ((a (a a))((((^y.y) a)(a a))(((^z.z) a)(a a)))) 6. ==[ alpha ]==> ((a (a a))((((^x.x) a)(a a))(((^y.y) a)(a a)))) 7. ==[ beta ]==> ((a (a a))((a (a a))(((^y.y) a)(a a)))) 8. ==[ alpha ]==> ((a (a a))((a (a a))(((^x.x) a)(a a)))) 9. ==[ beta ]==> ((a (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 7149/229410. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 7150/229491. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 7151/229560. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7152/229563. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 7153/229581. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.((^a.a) a))) 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. ------ 7154/229653. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.y))) 3. ==[ beta ]==> ((b b)(^y.(^z.y))) 4. ==[ alpha ]==> ((b b)(^x.(^y.x))) REDUCED to normal form. ------ 7155/229686. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(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. ------ 7156/229698. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7157/229815. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 7158/229842. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 7159/229869. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 7160/229896. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 7161/229926. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)(^b.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. ------ 7162/229935. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)((^z.z) a))) 3. ==[ beta ]==> (a ((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (a ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 7163/229953. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 7164/229962. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 7165/229980. ------ 1. ==[ start ]==> (((^a.a)(a a))((a a)(^b.(^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. ------ 7166/229989. ------ 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))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 7167/230007. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 7168/230016. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))(^a.a))) 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))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 7169/230043. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 7170/230070. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 7171/230097. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 7172/230124. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 7173/230142. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 7174/230169. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y)) b)) 3. ==[ beta ]==> ((a (^x.a))(b b)) REDUCED to normal form. ------ 7175/230187. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 7176/230205. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c (^z.a))) 3. ==[ beta ]==> ((^y.y)(c (^z.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 7177/230214. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^y.y)) a)) REDUCED to normal form. ------ 7178/230241. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a)(a (a a)))) 3. ==[ beta ]==> ((a a)((a a)(a (a a)))) REDUCED to normal form. ------ 7179/230277. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 7180/230286. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(a a))) REDUCED to normal form. ------ 7181/230313. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 7182/230331. ------ 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. ------ 7183/230340. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 7184/230358. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 7185/230367. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 7186/230394. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^z.z))) 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. ------ 7187/230412. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a) b)) 3. ==[ beta ]==> ((a (^x.(x x)))(a b)) REDUCED to normal form. ------ 7188/230457. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b a)) REDUCED to normal form. ------ 7189/230484. ------ 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. ------ 7190/230511. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(a a))) 3. ==[ beta ]==> ((a (a (a a)))(a (a a))) REDUCED to normal form. ------ 7191/230520. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a) b)) 3. ==[ beta ]==> ((^y.(y y))((^z.a) b)) 4. ==[ alpha ]==> ((^x.(x x))((^y.a) b)) 5. ==[ beta ]==> (((^y.a) b)((^y.a) b)) 6. ==[ alpha ]==> (((^x.a) b)((^y.a) b)) 7. ==[ beta ]==> (a ((^y.a) b)) 8. ==[ alpha ]==> (a ((^x.a) b)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 7192/230547. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7193/230583. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a (^y.(y y)))) 3. ==[ beta ]==> ((a b)(a (^y.(y y)))) 4. ==[ alpha ]==> ((a b)(a (^x.(x x)))) REDUCED to normal form. ------ 7194/230601. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) 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. ------ 7195/230610. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(a a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(a a))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 7196/230628. ------ 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. ------ 7197/230637. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(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. ------ 7198/230655. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 7199/230664. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 7200/230691. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 7201/230709. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.y)) b)) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y)) b)) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x)) b)) REDUCED to normal form. ------ 7202/230718. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 7203/230736. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 7204/230754. ------ 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. ------ 7205/230781. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(a a))) REDUCED to normal form. ------ 7206/230808. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 7207/230826. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a (^y.a))) 3. ==[ beta ]==> ((b b)(a (^y.a))) 4. ==[ alpha ]==> ((b b)(a (^x.a))) REDUCED to normal form. ------ 7208/230862. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b b)) 3. ==[ beta ]==> ((a (^y.y))(b b)) 4. ==[ alpha ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 7209/230871. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7210/230898. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) 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. ------ 7211/230952. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7212/230961. ------ 1. ==[ start ]==> (((a (a a)) b)(b (^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)(b (^x.x))) REDUCED to normal form. ------ 7213/230988. ------ 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. ------ 7214/231006. ------ 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. ------ 7215/231015. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 7216/231033. ------ 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) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 7217/231042. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 7218/231069. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (^z.z))) 3. ==[ beta ]==> ((a (^y.a))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.y))) REDUCED to normal form. ------ 7219/231086. ------ 1. ==[ start ]==> (^a.((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(y y))(x (^z.z)))) 3. ==[ beta ]==> (^x.((x (^z.z))(x (^z.z)))) 4. ==[ alpha ]==> (^x.((x (^y.y))(x (^z.z)))) REDUCED to normal form. ------ 7220/231087. ------ 1. ==[ start ]==> (a ((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (a ((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (a ((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (a ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 7221/232245. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a)) c) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a)) c) 3. ==[ beta ]==> ((a (^y.a)) c) 4. ==[ alpha ]==> ((a (^x.a)) c) REDUCED to normal form. ------ 7222/232263. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a))) a) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y))) a) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y))) a) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 7223/232269. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 4. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 5. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 7224/232296. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((^y.a)((^z.z) a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.a)((^y.y) a))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (a ((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 7225/232323. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 7226/232404. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^z.(z z))(^x1.(^y1.y1)))(^y.y)) 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. ------ 7227/232497. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7228/232521. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))(a a))) 3. ==[ beta ]==> (^y.((a (a a))(a a))) 4. ==[ alpha ]==> (^x.((a (a a))(a a))) REDUCED to normal form. ------ 7229/232593. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (^z.(z z)))) 3. ==[ eta ]==> ((^y.y)(b (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 7230/232605. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.a)(^z.(a (a a)))) 4. ==[ alpha ]==> ((^x.a)(^y.(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 7231/232839. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 7232/233019. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.a))) REDUCED to normal form. ------ 7233/233088. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7234/233109. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.a))) REDUCED to normal form. ------ 7235/233181. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.c)) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.c)) 3. ==[ beta ]==> ((b b)(^y.c)) 4. ==[ alpha ]==> ((b b)(^x.c)) REDUCED to normal form. ------ 7236/233190. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.x))) REDUCED to normal form. ------ 7237/233214. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7238/233307. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.(a (^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))) REDUCED to normal form. ------ 7239/233343. ------ 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. ------ 7240/233370. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 7241/233388. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 7242/233424. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.a)) 3. ==[ beta ]==> ((a (^y.a))(^z.a)) 4. ==[ alpha ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 7243/233442. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.z)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 7244/233454. ------ 1. ==[ start ]==> ((a a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 7245/233472. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) 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))) 5. ==[ beta ]==> (a (a (^y.a))) 6. ==[ alpha ]==> (a (a (^x.a))) REDUCED to normal form. ------ 7246/233481. ------ 1. ==[ start ]==> ((a (a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 7247/233499. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 7248/233508. ------ 1. ==[ start ]==> ((a b)((^a.(^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. ------ 7249/233526. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 7250/233553. ------ 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 ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 7251/233562. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(^a.a))) 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. ------ 7252/233580. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (a a)) b)) 3. ==[ beta ]==> ((^y.y)((a (a a)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 7253/233589. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))(^a.(^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. ------ 7254/233607. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a) c)) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a) c)) 3. ==[ beta ]==> (((a a) b)(a c)) REDUCED to normal form. ------ 7255/233652. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(b (a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b (a (a a)))) REDUCED to normal form. ------ 7256/233679. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 7257/233688. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 7258/233706. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))(a a))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))(a a))) REDUCED to normal form. ------ 7259/233742. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a) c)) 3. ==[ beta ]==> ((^y.y)((^z.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 7260/233778. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(y y)))) 3. ==[ beta ]==> ((a a)(b (^y.(y y)))) 4. ==[ alpha ]==> ((a a)(b (^x.(x x)))) REDUCED to normal form. ------ 7261/233787. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.a)((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.a)((a a)(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 7262/233823. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(^y.y))) REDUCED to normal form. ------ 7263/233850. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 7264/233877. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 7265/233904. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 7266/233931. ------ 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. ------ 7267/233967. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 7268/233994. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 7269/234021. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 7270/234039. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y)) a)) 3. ==[ beta ]==> ((a a)((^y.(y y)) a)) 4. ==[ alpha ]==> ((a a)((^x.(x x)) a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 7271/234057. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((((^y.y) a)(a a))(((^y.y) a)(a a))) 6. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)(a a))) 7. ==[ beta ]==> ((a (a a))(((^y.y) a)(a a))) 8. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a a))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 7272/234084. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((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. ------ 7273/234147. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) 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. ------ 7274/234174. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 7275/234192. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 7276/234201. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.a))) REDUCED to normal form. ------ 7277/234228. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 7278/234255. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 7279/234273. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 7280/234291. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.a)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.a)) REDUCED to normal form. ------ 7281/234345. ------ 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)))) REDUCED to normal form. ------ 7282/234363. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a) 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. ------ 7283/234372. ------ 1. ==[ start ]==> (((a (a a))(a a))(a (^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(a (^x.a))) REDUCED to normal form. ------ 7284/234399. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 7285/234408. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 7286/234489. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a (a (^a.a)))) 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. ------ 7287/234498. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 7288/234525. ------ 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. ------ 7289/234543. ------ 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. ------ 7290/234552. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 7291/234570. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 7292/234579. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a) a)) REDUCED to normal form. ------ 7293/234606. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z) a)) 3. ==[ beta ]==> ((a (^y.a))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 7294/234624. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 7295/234632. ------ 1. ==[ start ]==> (^a.((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((x (x x))(^y.(^z.z)))) REDUCED to normal form. ------ 7296/234633. ------ 1. ==[ start ]==> (a ((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 7297/234726. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.((^a.a)(^a.a)))) 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. ------ 7298/235809. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a))) b) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y))) b) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y))) b) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 7299/235818. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a))) a) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 7300/235824. ------ 1. ==[ start ]==> ((^a.a)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 7301/235833. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7302/235851. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((^y.y) a)(^z.a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.a))) 7. ==[ beta ]==> ((a (^x.a))(a (^z.a))) 8. ==[ alpha ]==> ((a (^x.a))(a (^y.a))) REDUCED to normal form. ------ 7303/235878. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 7304/235914. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7305/235917. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 7306/235959. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a a)) b)) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 7307/236052. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 7308/236061. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^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. ------ 7309/236187. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 7310/236319. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 7311/236412. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(y (y y)))) 3. ==[ beta ]==> ((a a)(^y.(y (y y)))) 4. ==[ alpha ]==> ((a a)(^x.(x (x x)))) REDUCED to normal form. ------ 7312/236418. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y)) a)) 3. ==[ beta ]==> (((^y.(y y)) a)(((^y.(y y)) a)((^y.(y y)) a))) 4. ==[ alpha ]==> (((^x.(x x)) a)(((^y.(y y)) a)((^z.(z z)) a))) 5. ==[ beta ]==> ((a a)(((^y.(y y)) a)((^z.(z z)) a))) 6. ==[ alpha ]==> ((a a)(((^x.(x x)) a)((^y.(y y)) a))) 7. ==[ beta ]==> ((a a)((a a)((^y.(y y)) a))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(x x)) a))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 7313/236493. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((^z.z) a))) 3. ==[ beta ]==> ((a b)(^y.((^z.z) a))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y) a))) 5. ==[ beta ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 7314/236511. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 7315/236643. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7316/236736. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(a (^z.z)))) 3. ==[ beta ]==> ((b b)(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((b b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 7317/236745. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.c)) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.c)) REDUCED to normal form. ------ 7318/236769. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))(^a.a))) 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. ------ 7319/236808. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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))) REDUCED to normal form. ------ 7320/236862. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 7321/236871. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 7322/236916. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 7323/236943. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(a a))) 3. ==[ beta ]==> ((^y.y)(^z.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 7324/236952. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.b)) REDUCED to normal form. ------ 7325/236979. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(z z))) 3. ==[ beta ]==> ((a (^y.a))(^z.(z z))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(y y))) REDUCED to normal form. ------ 7326/236997. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 7327/237006. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 7328/237018. ------ 1. ==[ start ]==> ((a a)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 7329/237027. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 7330/237045. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> ((a (a a))(a (^y.a))) 4. ==[ alpha ]==> ((a (a a))(a (^x.a))) REDUCED to normal form. ------ 7331/237054. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.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. ------ 7332/237072. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 7333/237081. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 7334/237108. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 7335/237126. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 7336/237153. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (a a)) b)) REDUCED to normal form. ------ 7337/237162. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^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. ------ 7338/237189. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 7339/237216. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 7340/237225. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 7341/237243. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7342/237252. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(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. ------ 7343/237288. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a)(a (^x.x)))(b b)) REDUCED to normal form. ------ 7344/237306. ------ 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)(((^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. ------ 7345/237315. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a) c)) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 7346/237351. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.(z z)))) 3. ==[ beta ]==> ((^y.a)(b (^z.(z z)))) 4. ==[ alpha ]==> ((^x.a)(b (^y.(y y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 7347/237378. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 7348/237432. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (a ((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> (a ((^x.a)(a (^y.y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 7349/237441. ------ 1. ==[ start ]==> (((a a)(^b.a))(c c)) 2. ==[ alpha ]==> (((a a)(^x.a))(c c)) REDUCED to normal form. ------ 7350/237459. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7351/237513. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^z.z))) 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. ------ 7352/237531. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a) a)(((^y.y) a) b)) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a) b)) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 7353/237603. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a (a (a a)))) 3. ==[ beta ]==> ((a a)(a (a (a a)))) REDUCED to normal form. ------ 7354/237612. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x)) a)) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 7355/237648. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 7356/237684. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)((^y.y) a))) 3. ==[ beta ]==> ((a b)((a a)((^y.y) a))) 4. ==[ alpha ]==> ((a b)((a a)((^x.x) a))) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 7357/237702. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (^z.(z z)))) 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. ------ 7358/237729. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(a a))) 3. ==[ beta ]==> ((a (a a))((^y.a)(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(a a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 7359/237756. ------ 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)((^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. ------ 7360/237765. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b c)) REDUCED to normal form. ------ 7361/237810. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(^a.a))) 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. ------ 7362/237837. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 7363/237882. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a) a)) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 7364/237909. ------ 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)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 7365/237927. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 7366/237963. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))(^a.a))) 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. ------ 7367/237972. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 7368/237999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(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. ------ 7369/238053. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7370/238062. ------ 1. ==[ start ]==> (((a (a a)) b)(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(a (a (^x.x)))) REDUCED to normal form. ------ 7371/238089. ------ 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. ------ 7372/238107. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 7373/238116. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 7374/238134. ------ 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)((^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. ------ 7375/238143. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a b)) REDUCED to normal form. ------ 7376/238170. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (a a))) 3. ==[ beta ]==> ((a (^y.a))(a (a a))) 4. ==[ alpha ]==> ((a (^x.a))(a (a a))) REDUCED to normal form. ------ 7377/238188. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a (^z.z))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 7378/238197. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 7379/238803. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(y (y y)))) 3. ==[ beta ]==> ((^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))))) 5. ==[ beta ]==> (((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^y.(y (y y)))(^z.(z (z z)))))) 6. ==[ 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)))))) 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)))(^z1.(z1 (z1 z1)))))) 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)))(^x2.(x2 (x2 x2)))))) 9. ==[ beta ]==> ((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^y.(y (y y)))(^z.(z (z z))))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2)))))) 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)))(^y2.(y2 (y2 y2))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3)))))) 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)))(^y2.(y2 (y2 y2))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3)))))) 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)))(^z2.(z2 (z2 z2))))((^x3.(x3 (x3 x3)))(^y3.(y3 (y3 y3)))))) 13. ==[ beta ]==> (((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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)))))) 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)))(^x3.(x3 (x3 x3))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4)))))) 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)))(^x3.(x3 (x3 x3))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4)))))) 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)))(^y3.(y3 (y3 y3))))))(((^z3.(z3 (z3 z3)))(^x4.(x4 (x4 x4))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4)))))) 17. ==[ beta ]==> ((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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)))))) 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)))(^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)))))) 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)))(^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)))))) 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)))(^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)))))) 21. ==[ beta ]==> (((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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)))))) 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)))(^y4.(y4 (y4 y4))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7)))))) 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)))(^y4.(y4 (y4 y4))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7)))))) 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)))(^z4.(z4 (z4 z4))))))(((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7)))))) 25. ==[ beta ]==> ((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7)))))) 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)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8)))))) 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)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8)))))) 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)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8)))))) 29. ==[ beta ]==> (((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8)))))) 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)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))(((^z8.(z8 (z8 z8)))(^x9.(x9 (x9 x9))))((^y9.(y9 (y9 y9)))(^z9.(z9 (z9 z9)))))) 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)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))(((^z8.(z8 (z8 z8)))(^x9.(x9 (x9 x9))))((^y9.(y9 (y9 y9)))(^z9.(z9 (z9 z9)))))) 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)))(^x6.(x6 (x6 x6))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8))))))(((^x9.(x9 (x9 x9)))(^y9.(y9 (y9 y9))))((^z9.(z9 (z9 z9)))(^x10.(x10 (x10 x10)))))) 33. ==[ beta ]==> ((((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8))))))(((^x9.(x9 (x9 x9)))(^y9.(y9 (y9 y9))))((^z9.(z9 (z9 z9)))(^x10.(x10 (x10 x10)))))) 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)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))(((^z8.(z8 (z8 z8)))(^x9.(x9 (x9 x9))))((^y9.(y9 (y9 y9)))(^z9.(z9 (z9 z9))))))(((^x10.(x10 (x10 x10)))(^y10.(y10 (y10 y10))))((^z10.(z10 (z10 z10)))(^x11.(x11 (x11 x11)))))) 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)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))(((^z8.(z8 (z8 z8)))(^x9.(x9 (x9 x9))))((^y9.(y9 (y9 y9)))(^z9.(z9 (z9 z9))))))(((^x10.(x10 (x10 x10)))(^y10.(y10 (y10 y10))))((^z10.(z10 (z10 z10)))(^x11.(x11 (x11 x11)))))) UNREDUCED: maximal number of reductions reached. ------ 7380/239391. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a))) b) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 7381/239415. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7382/239460. ------ 1. ==[ start ]==> ((^a.b)(c d)) 2. ==[ alpha ]==> ((^x.b)(c d)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 7383/239496. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7384/239508. ------ 1. ==[ start ]==> (((^a.a) b)(^b.((^a.a)(^a.a)))) 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)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 7385/239643. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 7386/239658. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7387/239730. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))((^x1.x1) a))) 3. ==[ eta ]==> ((^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. ------ 7388/239778. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 7389/239886. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 7390/239901. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a)) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 7391/239994. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 7392/240000. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (a (a a)))) 3. ==[ beta ]==> ((a (a (a a)))((a (a (a a)))(a (a (a a))))) REDUCED to normal form. ------ 7393/240003. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(x (x x)))) REDUCED to normal form. ------ 7394/240102. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 7395/240183. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 7396/240225. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7397/240273. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))((^y.y) 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. ------ 7398/240453. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 7399/240498. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7400/240507. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 7401/240534. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(a a))) REDUCED to normal form. ------ 7402/240561. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 7403/240579. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.a)) REDUCED to normal form. ------ 7404/240588. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 7405/240618. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 7406/240627. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (a ((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (a ((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (a ((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (a ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 7407/240645. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a)(^b.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. ------ 7408/240654. ------ 1. ==[ start ]==> (((a a) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 7409/240663. ------ 1. ==[ start ]==> ((a b)(c d)) REDUCED to normal form. ------ 7410/240672. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 7411/240681. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 7412/240699. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 7413/240708. ------ 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 ((^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. ------ 7414/240735. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 7415/240753. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 7416/240762. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))(^a.(^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. ------ 7417/240789. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 7418/240816. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 7419/240843. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 7420/240861. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 7421/240879. ------ 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. ------ 7422/240906. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (a (^y.y)))) REDUCED to normal form. ------ 7423/240933. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a a)((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 7424/240978. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 7425/241005. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))(a a))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a a))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 7426/241023. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 7427/241032. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 7428/241050. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 7429/241059. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 7430/241086. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^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. ------ 7431/241104. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a)) a)) REDUCED to normal form. ------ 7432/241176. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b ((^y.y) a))) 3. ==[ beta ]==> ((a (a a))(b ((^y.y) a))) 4. ==[ alpha ]==> ((a (a a))(b ((^x.x) a))) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 7433/241194. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 7434/241203. ------ 1. ==[ start ]==> ((a (a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 7435/241212. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z)) a)) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y)) a)) 5. ==[ beta ]==> (((^y.(y y)) a)((^y.(y y)) a)) 6. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y)) a)) 7. ==[ beta ]==> ((a a)((^y.(y y)) a)) 8. ==[ alpha ]==> ((a a)((^x.(x x)) a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 7436/241239. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a) b)) 3. ==[ beta ]==> ((^y.y)((^x1.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 7437/241275. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b (^y.a))) 3. ==[ beta ]==> ((a b)(b (^y.a))) 4. ==[ alpha ]==> ((a b)(b (^x.a))) REDUCED to normal form. ------ 7438/241302. ------ 1. ==[ start ]==> (((a (a a)) a)(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(a (^x.(x x)))) REDUCED to normal form. ------ 7439/241320. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 7440/241329. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 7441/241347. ------ 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)((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. ------ 7442/241356. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 7443/241383. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 7444/241401. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) a) a)) 3. ==[ beta ]==> (((a a)(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. ------ 7445/241410. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 7446/241428. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 7447/241446. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b (a (^x.x)))) REDUCED to normal form. ------ 7448/241473. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 7449/241500. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z))(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 7450/241518. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 7451/241527. ------ 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. ------ 7452/241563. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(^a.a))) 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. ------ 7453/241590. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 7454/241644. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 7455/241653. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(^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. ------ 7456/241680. ------ 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. ------ 7457/241698. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) b)) 5. ==[ beta ]==> ((^y.y)((^z.z) b)) 6. ==[ alpha ]==> ((^x.x)((^y.y) b)) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 7458/241707. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 7459/241725. ------ 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)(^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. ------ 7460/241734. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 7461/241761. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 7462/241779. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 7463/241788. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 7464/241805. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(x x))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7465/241806. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(a a))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 7466/242061. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (^x.(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^x.(^y.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 7467/242403. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((^y.(^z.(z z)))((^y.(^z.(z z)))(^y.(^z.(z z))))) 4. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.(x1 x1)))(^y1.(^z1.(z1 z1))))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 7468/242754. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.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. ------ 7469/243015. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(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. ------ 7470/243042. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^x1.x1))(a (^x1.x1)))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 7471/243069. ------ 1. ==[ start ]==> ((^a.b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 7472/243117. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(^b.(^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. ------ 7473/243126. ------ 1. ==[ start ]==> (((a a)(a a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 7474/243150. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.y1))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7475/243267. ------ 1. ==[ start ]==> ((^a.(^b.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (^x.(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (^x.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 7476/243270. ------ 1. ==[ start ]==> ((a (^b.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 7477/243609. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^y.y)(^z.(z z)))((^y.y)(^z.(z z))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.(x1 x1)))((^y1.y1)(^z1.(z1 z1))))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.(x1 x1)))((^y1.y1)(^z1.(z1 z1))))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.(z z)))((^x1.x1)(^y1.(y1 y1))))) 7. ==[ beta ]==> ((((^y.y)(^z.(z z)))((^x1.x1)(^y1.(y1 y1))))(((^y.y)(^z.(z z)))((^x1.x1)(^y1.(y1 y1))))) 8. ==[ alpha ]==> ((((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1))))(((^y1.y1)(^z1.(z1 z1)))((^x2.x2)(^y2.(y2 y2))))) 9. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.(x1 x1))))(((^y1.y1)(^z1.(z1 z1)))((^x2.x2)(^y2.(y2 y2))))) 10. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.(z z))))(((^x1.x1)(^y1.(y1 y1)))((^z1.z1)(^x2.(x2 x2))))) 11. ==[ beta ]==> ((((^y.y)(^z.(z z)))((^y.y)(^z.(z z))))(((^x1.x1)(^y1.(y1 y1)))((^z1.z1)(^x2.(x2 x2))))) 12. ==[ alpha ]==> ((((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1))))(((^y1.y1)(^z1.(z1 z1)))((^x2.x2)(^y2.(y2 y2))))) IRREDUCIBLE: cycle. ------ 7478/243612. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 7479/243621. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(z (z z)))) 3. ==[ beta ]==> ((^y.(y y))(^z.(z (z z)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(y (y y)))) 5. ==[ beta ]==> ((^y.(y (y y)))(^y.(y (y y)))) 6. ==[ alpha ]==> ((^x.(x (x x)))(^y.(y (y y)))) 7. ==[ beta ]==> ((^y.(y (y y)))((^y.(y (y y)))(^y.(y (y y))))) 8. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y (y y)))(^z.(z (z z))))) 9. ==[ beta ]==> (((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^y.(y (y y)))(^z.(z (z z)))))) 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)))))) 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)))))) 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)))))) 13. ==[ beta ]==> ((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^y.(y (y y)))(^z.(z (z z))))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2)))))) 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)))(^x3.(x3 (x3 x3)))))) 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)))(^x3.(x3 (x3 x3)))))) 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)))(^y3.(y3 (y3 y3)))))) 17. ==[ beta ]==> (((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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)))))) 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)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4)))))) 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)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4)))))) 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)))(^x4.(x4 (x4 x4))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4)))))) 21. ==[ beta ]==> ((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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)))))) 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)))(^y4.(y4 (y4 y4))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5)))))) 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)))(^y4.(y4 (y4 y4))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5)))))) 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)))(^z4.(z4 (z4 z4))))))(((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6)))))) 25. ==[ beta ]==> (((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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)))))) 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)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7)))))) 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)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7)))))) 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)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7)))))) 29. ==[ beta ]==> ((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7)))))) 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)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8)))))) 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)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8)))))) 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)))(^x6.(x6 (x6 x6))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8)))))) 33. ==[ beta ]==> (((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8)))))) 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)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))(((^z8.(z8 (z8 z8)))(^x9.(x9 (x9 x9))))((^y9.(y9 (y9 y9)))(^z9.(z9 (z9 z9)))))) 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)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))(((^z8.(z8 (z8 z8)))(^x9.(x9 (x9 x9))))((^y9.(y9 (y9 y9)))(^z9.(z9 (z9 z9)))))) UNREDUCED: maximal number of reductions reached. ------ 7480/243834. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7481/243882. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.a))) REDUCED to normal form. ------ 7482/243960. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(a (^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. ------ 7483/243963. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 7484/244062. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.b)) 2. ==[ alpha ]==> (((a (a a)) b)(^x.b)) REDUCED to normal form. ------ 7485/244116. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 7486/244170. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.a)) 3. ==[ beta ]==> ((a (^y.a))(^z.a)) 4. ==[ alpha ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 7487/244188. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(z z))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(z z))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z z))) REDUCED to normal form. ------ 7488/244197. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 7489/244227. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 7490/244245. ------ 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. ------ 7491/244254. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 7492/244272. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a a) a)(a (^y.a))) 4. ==[ alpha ]==> (((a a) a)(a (^x.a))) REDUCED to normal form. ------ 7493/244281. ------ 1. ==[ start ]==> ((a b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a b)((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 7494/244299. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 7495/244326. ------ 1. ==[ start ]==> (((^a.a) b)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 7496/244335. ------ 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))((^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. ------ 7497/244353. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^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. ------ 7498/244362. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 7499/244380. ------ 1. ==[ start ]==> (((a a) b)((a (a a)) b)) REDUCED to normal form. ------ 7500/244452. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 7501/244479. ------ 1. ==[ start ]==> ((a (^b.a))(a ((^a.a)(^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. ------ 7502/244515. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 5. ==[ beta ]==> ((^y.(y y)) b) 6. ==[ alpha ]==> ((^x.(x x)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 7503/244560. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 7504/244587. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^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. ------ 7505/244623. ------ 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. ------ 7506/244650. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 7507/244677. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 7508/244704. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 7509/244740. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.y))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^y.y))) 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. ------ 7510/244767. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 7511/244794. ------ 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))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 7512/244821. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(y y))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(x x))) REDUCED to normal form. ------ 7513/244830. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (a (a a)))) 3. ==[ beta ]==> ((^y.(y y))(a (a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))(a (a (a a)))) 5. ==[ beta ]==> ((a (a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 7514/244857. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a a))) 5. ==[ beta ]==> (((^y.y) a)(a a)) 6. ==[ alpha ]==> (((^x.x) a)(a a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 7515/244893. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 7516/244911. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)((^z.z) 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. ------ 7517/244947. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) 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. ------ 7518/244974. ------ 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. ------ 7519/245001. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 7520/245028. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) 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. ------ 7521/245046. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 7522/245064. ------ 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)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 7523/245091. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.a)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.a)) REDUCED to normal form. ------ 7524/245136. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((b b)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((b b)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 7525/245145. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 7526/245172. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 7527/245181. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c a)) 3. ==[ beta ]==> ((^y.(^z.z))(c a)) 4. ==[ alpha ]==> ((^x.(^y.y))(c a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7528/245208. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 7529/245262. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (a a))) 5. ==[ beta ]==> ((^y.y)(b (a a))) 6. ==[ alpha ]==> ((^x.x)(b (a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 7530/245271. ------ 1. ==[ start ]==> (((a (a a)) b)((a a) b)) REDUCED to normal form. ------ 7531/245298. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) a)) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 7532/245316. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 7533/245325. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 7534/245343. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 7535/245352. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.z))) REDUCED to normal form. ------ 7536/245379. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a) a)) 3. ==[ beta ]==> ((a (^y.a))((a a) a)) 4. ==[ alpha ]==> ((a (^x.a))((a a) a)) REDUCED to normal form. ------ 7537/245397. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a (a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 7538/245406. ------ 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. ------ 7539/245432. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (^x.((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7540/245433. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> (a ((^y.y)(^z.z))) 4. ==[ alpha ]==> (a ((^x.x)(^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 7541/245688. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(^b.(^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. ------ 7542/245931. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 7543/246381. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 7544/246645. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 7545/246651. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7546/246660. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 7547/246678. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^y.(^z.z)))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 7548/246705. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 7549/246741. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7550/246786. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^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. ------ 7551/246903. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 7552/246906. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 7553/246975. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a) c)) 3. ==[ eta ]==> ((^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. ------ 7554/247023. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a (a a)))) REDUCED to normal form. ------ 7555/247146. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 7556/247149. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(a (a a)))) REDUCED to normal form. ------ 7557/247257. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((^y.(^z.(z z)))(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 7558/247365. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 7559/247446. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 7560/247470. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7561/247599. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.c)) 3. ==[ beta ]==> ((a (^y.y))(^z.c)) 4. ==[ alpha ]==> ((a (^x.x))(^y.c)) REDUCED to normal form. ------ 7562/247608. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 7563/247725. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(y (^z.z)))) 5. ==[ beta ]==> (a (^y.(y (^z.z)))) 6. ==[ alpha ]==> (a (^x.(x (^y.y)))) REDUCED to normal form. ------ 7564/247752. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 7565/247770. ------ 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)(^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. ------ 7566/247806. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.b)) 3. ==[ beta ]==> ((a (^y.a))(^z.b)) 4. ==[ alpha ]==> ((a (^x.a))(^y.b)) REDUCED to normal form. ------ 7567/247824. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 7568/247833. ------ 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. ------ 7569/247860. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7570/247872. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 7571/247881. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 7572/247899. ------ 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. ------ 7573/247908. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))(a (^a.a)))) 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. ------ 7574/247926. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.a))) 3. ==[ beta ]==> ((a b)(a (^y.a))) 4. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 7575/247935. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)((^a.a) 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))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 7576/247962. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 7577/247980. ------ 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. ------ 7578/248007. ------ 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)) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 7579/248016. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^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. ------ 7580/248043. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 7581/248070. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 7582/248097. ------ 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)((^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. ------ 7583/248106. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (a (a a)))) REDUCED to normal form. ------ 7584/248124. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 7585/248142. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 7586/248160. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (a a))(a a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 7587/248169. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y)) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))(b b)) REDUCED to normal form. ------ 7588/248196. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a) c)) 3. ==[ beta ]==> ((a a)((^y.a) c)) 4. ==[ alpha ]==> ((a a)((^x.a) c)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 7589/248205. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.a))) 3. ==[ beta ]==> ((^y.a)(c (^z.a))) 4. ==[ alpha ]==> ((^x.a)(c (^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 7590/248232. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 7591/248241. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(a (a a)))) REDUCED to normal form. ------ 7592/248286. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a a))) 5. ==[ beta ]==> (a ((^y.(y y))(a a))) 6. ==[ alpha ]==> (a ((^x.(x x))(a a))) 7. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 7593/248313. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 7594/248367. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (a a))) REDUCED to normal form. ------ 7595/248385. ------ 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. ------ 7596/248412. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a b)) REDUCED to normal form. ------ 7597/248457. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b ((^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. ------ 7598/248475. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(^z.(z z)))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 7599/248538. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a b)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 7600/248556. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (^z.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (^z.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. ------ 7601/248565. ------ 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. ------ 7602/248583. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(a (^y.(y y)))) 3. ==[ beta ]==> ((a (a a))(a (^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))(a (^x.(x x)))) REDUCED to normal form. ------ 7603/248610. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 7604/248619. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c b)) REDUCED to normal form. ------ 7605/248646. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b c)) REDUCED to normal form. ------ 7606/248664. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)(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. ------ 7607/248691. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 7608/248709. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x)) b)) REDUCED to normal form. ------ 7609/248763. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a) a)) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 7610/248781. ------ 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 b)((a (^y.y))(a a))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(a a))) REDUCED to normal form. ------ 7611/248790. ------ 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))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 7612/248826. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7613/248853. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 7614/248907. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7615/248916. ------ 1. ==[ start ]==> (((a (a a)) b)(b (a a))) REDUCED to normal form. ------ 7616/248943. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(a (a (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)(a (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)(a (a (^y.y)))) 5. ==[ beta ]==> (a (a (a (^y.y)))) 6. ==[ alpha ]==> (a (a (a (^x.x)))) REDUCED to normal form. ------ 7617/248961. ------ 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. ------ 7618/248970. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 7619/248988. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (^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. ------ 7620/248997. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b a)) REDUCED to normal form. ------ 7621/249024. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a b)) 3. ==[ beta ]==> ((a (^y.a))(a b)) 4. ==[ alpha ]==> ((a (^x.a))(a b)) REDUCED to normal form. ------ 7622/249042. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 7623/249051. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 7624/249078. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(a a)) 3. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 7625/250299. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a)) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z)) b) 3. ==[ beta ]==> (((^y.y)(^z.z)) b) 4. ==[ alpha ]==> (((^x.x)(^y.y)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 7626/250323. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7627/250404. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7628/250443. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7629/250587. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 7630/250638. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)(a (^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 7631/250713. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 7632/250809. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 7633/250908. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b ((^y.y) a))) 3. ==[ beta ]==> ((b ((^y.y) a))((b ((^y.y) a))(b ((^y.y) a)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((b ((^y.y) a))(b ((^z.z) a)))) 5. ==[ beta ]==> ((b a)((b ((^y.y) a))(b ((^z.z) a)))) 6. ==[ alpha ]==> ((b a)((b ((^x.x) a))(b ((^y.y) a)))) 7. ==[ beta ]==> ((b a)((b a)(b ((^y.y) a)))) 8. ==[ alpha ]==> ((b a)((b a)(b ((^x.x) a)))) 9. ==[ beta ]==> ((b a)((b a)(b a))) REDUCED to normal form. ------ 7634/251037. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 7635/251118. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 7636/251133. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7637/251208. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) a)(a (^y.y)))(^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. ------ 7638/251259. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7639/251271. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7640/251388. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 7641/251433. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 7642/251442. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 7643/251469. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(a a))) 3. ==[ beta ]==> ((a (^y.a))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(a a))) REDUCED to normal form. ------ 7644/251496. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 7645/251523. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7646/251553. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.x))((^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. ------ 7647/251562. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a a))) 3. ==[ beta ]==> (a ((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 7648/251580. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 7649/251589. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 7650/251607. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((a a)(a (^y.a))) 6. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 7651/251616. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 7652/251634. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 7653/251643. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^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. ------ 7654/251670. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7655/251688. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> ((^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. ------ 7656/251697. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 7657/251715. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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. ------ 7658/251724. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 7659/251751. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 7660/251778. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 7661/251814. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y)(^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. ------ 7662/251841. ------ 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. ------ 7663/251868. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (a (^y.y)))) 6. ==[ alpha ]==> ((a a)(a (a (^x.x)))) REDUCED to normal form. ------ 7664/251877. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a) c)) 3. ==[ beta ]==> ((^y.a)((^z.a) c)) 4. ==[ alpha ]==> ((^x.a)((^y.a) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 7665/251913. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.(y y)))) REDUCED to normal form. ------ 7666/251940. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 7667/251958. ------ 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 ]==> (((^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. ------ 7668/251967. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 7669/251985. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 7670/251994. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.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) REDUCED to normal form. ------ 7671/252021. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 7672/252039. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 7673/252129. ------ 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 a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 7674/252138. ------ 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. ------ 7675/252174. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 7676/252210. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 7677/252237. ------ 1. ==[ start ]==> (((a (a a)) a)(b (^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)(b (^x.a))) REDUCED to normal form. ------ 7678/252264. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 7679/252282. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) 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. ------ 7680/252291. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 7681/252318. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 7682/252336. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 7683/252345. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.z) a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y) a)) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 7684/252363. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 7685/252408. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b (a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (a (^y.y)))) REDUCED to normal form. ------ 7686/252435. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((a (a (^y.y)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.y) a))) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 7687/252453. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (^a.a))) 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. ------ 7688/252462. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 7689/252489. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 7690/252498. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a) 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. ------ 7691/252525. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))(^a.a))) 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. ------ 7692/252579. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1)) a)) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1)) a)) 6. ==[ alpha ]==> ((^x.x)((a (^y.y)) a)) 7. ==[ beta ]==> ((a (^y.y)) a) 8. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 7693/252588. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 7694/252615. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 7695/252633. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7696/252642. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 7697/252660. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z) b)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 7698/252669. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 7699/252696. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(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. ------ 7700/252714. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 7701/252723. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 7702/252750. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(a (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 7703/252906. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^z.((^x1.x1)(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7704/254031. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((^y.(^z.z))(a a)) 8. ==[ alpha ]==> ((^x.(^y.y))(a a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7705/254058. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 7706/254139. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^z.z)((^x1.x1)(^y1.y1)))(^y.y)) 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. ------ 7707/254142. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 7708/254256. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (a (a a)))) 3. ==[ beta ]==> (^y.(b (a (a a)))) 4. ==[ alpha ]==> (^x.(b (a (a a)))) REDUCED to normal form. ------ 7709/254277. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 7710/254520. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(a (a a)))) 3. ==[ beta ]==> (((a a) a)(^y.(a (a a)))) 4. ==[ alpha ]==> (((a a) a)(^x.(a (a a)))) REDUCED to normal form. ------ 7711/254598. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.a))(((^y.(^z.z))(^x1.a))((^y.(^z.z))(^x1.a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.(^y1.y1))(^z1.a))((^x2.(^y2.y2))(^z2.a)))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(^z1.a))((^x2.(^y2.y2))(^z2.a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.a))((^y1.(^z1.z1))(^x2.a)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y1.(^z1.z1))(^x2.a))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7712/254637. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 7713/254898. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 7714/254949. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7715/254961. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(a (^a.a)))) 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. ------ 7716/255096. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 7. ==[ beta ]==> (^y.(y (^z.z))) 8. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 7717/255132. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 7718/255159. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 7719/255177. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.b)) REDUCED to normal form. ------ 7720/255213. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.a)) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 7721/255261. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^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 ((^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. ------ 7722/255270. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 7723/255288. ------ 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. ------ 7724/255297. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((a b)((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 7725/255315. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 7726/255342. ------ 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. ------ 7727/255351. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 7728/255369. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 7729/255378. ------ 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))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 7730/255396. ------ 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)((^y.y) a)) 4. ==[ alpha ]==> (((a a) b)((^x.x) a)) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 7731/255423. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (a a)) b)) REDUCED to normal form. ------ 7732/255495. ------ 1. ==[ start ]==> ((a (^b.a))(b (a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))(b (a (a a)))) REDUCED to normal form. ------ 7733/255513. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 7734/255531. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7735/255576. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 7736/255603. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1) 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. ------ 7737/255666. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.y))) REDUCED to normal form. ------ 7738/255693. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 7739/255720. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 7740/255756. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 7741/255783. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 7742/255810. ------ 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)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 7743/255837. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 7744/255846. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b ((^z.z) a))) 3. ==[ beta ]==> ((^y.(y y))(b ((^z.z) a))) 4. ==[ alpha ]==> ((^x.(x x))(b ((^y.y) a))) 5. ==[ beta ]==> ((b ((^y.y) a))(b ((^y.y) a))) 6. ==[ alpha ]==> ((b ((^x.x) a))(b ((^y.y) a))) 7. ==[ beta ]==> ((b a)(b ((^y.y) a))) 8. ==[ alpha ]==> ((b a)(b ((^x.x) a))) 9. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 7745/255873. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a (a (a a)))) 3. ==[ beta ]==> ((^y.y)(a (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 7746/255909. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 7747/255927. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 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))) REDUCED to normal form. ------ 7748/255954. ------ 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. ------ 7749/255990. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) 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. ------ 7750/256017. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 7751/256035. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b c)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b c)) 3. ==[ beta ]==> (((a a)(a a))(b c)) REDUCED to normal form. ------ 7752/256044. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 7753/256080. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 7754/256107. ------ 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.(^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. ------ 7755/256134. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^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. ------ 7756/256152. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 7757/256188. ------ 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 (^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 7758/256197. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7759/256287. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x)) a)) REDUCED to normal form. ------ 7760/256314. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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. ------ 7761/256332. ------ 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. ------ 7762/256341. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 7763/256359. ------ 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))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 7764/256368. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a) 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. ------ 7765/256395. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)(^z.z))) 3. ==[ beta ]==> ((a (^y.a))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 7766/256413. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a b)) REDUCED to normal form. ------ 7767/256422. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 7768/256449. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 7769/257298. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7770/257748. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((^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))) 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. ------ 7771/257775. ------ 1. ==[ start ]==> ((^a.b)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 7772/257811. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7773/257856. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 7774/257868. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^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. ------ 7775/257973. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7776/258012. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7777/258045. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z)) b)) 3. ==[ eta ]==> ((^y.y)((^z.(z z)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 5. ==[ beta ]==> ((^y.(y y)) b) 6. ==[ alpha ]==> ((^x.(x x)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 7778/258138. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 7779/258216. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 7780/258354. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^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. ------ 7781/258462. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^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. ------ 7782/258540. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)((^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. ------ 7783/258543. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 7784/258633. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.(x x)) b)(^z.z)) 4. ==[ alpha ]==> (((^x.(x x)) b)(^y.y)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 7785/258666. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7786/258705. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 7787/258759. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(^y1.(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 7. ==[ beta ]==> (^y.(a (^z.z))) 8. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 7788/258768. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.c)) 2. ==[ alpha ]==> (((a (a a)) b)(^x.c)) REDUCED to normal form. ------ 7789/258813. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 7790/258822. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 7791/258894. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(a a))) REDUCED to normal form. ------ 7792/258903. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 7793/258930. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(x1 x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 7794/258996. ------ 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))((^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. ------ 7795/259005. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7796/259023. ------ 1. ==[ start ]==> ((a b)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 7797/259032. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 7798/259059. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 7799/259068. ------ 1. ==[ start ]==> (((^a.a) b)(c d)) 2. ==[ alpha ]==> (((^x.x) b)(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 7800/259077. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 7801/259104. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 7802/259113. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7803/259140. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 7804/259167. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 7805/259194. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 7806/259221. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 7807/259257. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 7808/259266. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 7809/259293. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y)) b)) 3. ==[ beta ]==> ((a a)((^y.(y y)) b)) 4. ==[ alpha ]==> ((a a)((^x.(x x)) b)) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 7810/259338. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^y.y)) a)) REDUCED to normal form. ------ 7811/259365. ------ 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. ------ 7812/259383. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 7813/259410. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 5. ==[ beta ]==> ((^y.(y y))(a a)) 6. ==[ alpha ]==> ((^x.(x x))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 7814/259464. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 7815/259482. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 7816/259509. ------ 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. ------ 7817/259536. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a) b)) 3. ==[ beta ]==> ((a (a a))(((^y.y) a) b)) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a) b)) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 7818/259572. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7819/259599. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 7820/259635. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(a a))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 7821/259662. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 7822/259680. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b (^y.a))) 3. ==[ beta ]==> ((a (a a))(b (^y.a))) 4. ==[ alpha ]==> ((a (a a))(b (^x.a))) REDUCED to normal form. ------ 7823/259689. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 7824/259707. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 7825/259761. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 7826/259770. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b c)) REDUCED to normal form. ------ 7827/259788. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)((^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. ------ 7828/259806. ------ 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. ------ 7829/259833. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z)) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y)) b)) REDUCED to normal form. ------ 7830/259878. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 7831/259887. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a) a)) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a) a)) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 7832/259914. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^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. ------ 7833/259923. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7834/259950. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 7835/260004. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(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. ------ 7836/260013. ------ 1. ==[ start ]==> (((a (a a)) b)(a c)) REDUCED to normal form. ------ 7837/260040. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b (a a))) 3. ==[ beta ]==> (((^y.y) a)(b (a a))) 4. ==[ alpha ]==> (((^x.x) a)(b (a a))) 5. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 7838/260058. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7839/260067. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 7840/260085. ------ 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)(b (^z.z))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 7841/260094. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(a a))) REDUCED to normal form. ------ 7842/260121. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b a)) 3. ==[ beta ]==> ((a (^y.a))(b a)) 4. ==[ alpha ]==> ((a (^x.a))(b a)) REDUCED to normal form. ------ 7843/260139. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(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. ------ 7844/260148. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 7845/260175. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 7846/260210. ------ 1. ==[ start ]==> (^a.((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.((x x)((^y.y)(^z.z)))) 3. ==[ beta ]==> (^x.((x x)(^z.z))) 4. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 7847/260211. ------ 1. ==[ start ]==> (a ((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a ((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (a ((a a)(^y.y))) 4. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 7848/261033. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7849/261459. ------ 1. ==[ start ]==> (((a a)((^a.a)(^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) REDUCED to normal form. ------ 7850/261465. ------ 1. ==[ start ]==> ((^a.a)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 7851/261555. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7852/261621. ------ 1. ==[ start ]==> (((a a) b)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(^x.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 7853/261756. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(^b.(^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. ------ 7854/261765. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 7855/261789. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))(a a))) 3. ==[ eta ]==> ((^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. ------ 7856/261891. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 7857/261960. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 7858/262098. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^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. ------ 7859/262215. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 7860/262284. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7861/262287. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 7862/262377. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.a))) 3. ==[ beta ]==> ((b b)(^y.(^z.a))) 4. ==[ alpha ]==> ((b b)(^x.(^y.a))) REDUCED to normal form. ------ 7863/262386. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.((^a.a) a))) 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. ------ 7864/262410. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((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. ------ 7865/262449. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.c)) 3. ==[ beta ]==> ((^y.y)(^x1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 7866/262512. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 7867/262566. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 7868/262620. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 7869/262647. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 7870/262674. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7871/262710. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 7872/262722. ------ 1. ==[ start ]==> ((a a)((a a)((^a.a)(^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. ------ 7873/262758. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7874/262767. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 7875/262785. ------ 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. ------ 7876/262794. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 7877/262812. ------ 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. ------ 7878/262821. ------ 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 a) REDUCED to normal form. ------ 7879/262848. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 7880/262866. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^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. ------ 7881/262875. ------ 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)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 7882/262893. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^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. ------ 7883/262902. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 7884/262920. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a)) b)) 3. ==[ beta ]==> ((a (^y.y))((a (a a)) b)) 4. ==[ alpha ]==> ((a (^x.x))((a (a a)) b)) REDUCED to normal form. ------ 7885/262929. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 7886/262956. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 7887/262992. ------ 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. ------ 7888/263010. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7889/263019. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.y))) REDUCED to normal form. ------ 7890/263046. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(a a))) 3. ==[ beta ]==> ((a a)((a (a a))(a a))) REDUCED to normal form. ------ 7891/263055. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z)) b)) 3. ==[ beta ]==> ((^y.a)((^z.(z z)) b)) 4. ==[ alpha ]==> ((^x.a)((^y.(y y)) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 7892/263082. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) c)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 7893/263091. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.a))) REDUCED to normal form. ------ 7894/263118. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (^y.(y y)))) 3. ==[ beta ]==> ((a a)(b (^y.(y y)))) 4. ==[ alpha ]==> ((a a)(b (^x.(x x)))) REDUCED to normal form. ------ 7895/263145. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 7896/263163. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((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. ------ 7897/263172. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 7898/263199. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 7899/263217. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 7900/263307. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 7901/263406. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) b)) 5. ==[ beta ]==> ((^y.y)((^z.a) b)) 6. ==[ alpha ]==> ((^x.x)((^y.a) b)) 7. ==[ beta ]==> ((^y.a) b) 8. ==[ alpha ]==> ((^x.a) b) 9. ==[ beta ]==> a REDUCED to normal form. ------ 7902/263442. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 7903/263469. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.(z z)))) REDUCED to normal form. ------ 7904/263496. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 7905/263514. ------ 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 (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 7906/263523. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 7907/263541. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 7908/263613. ------ 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. ------ 7909/263631. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 7910/263640. ------ 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. ------ 7911/263667. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 7912/263676. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7913/263757. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 7914/263766. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(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. ------ 7915/263793. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 7916/263811. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^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. ------ 7917/263820. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 7918/263838. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 7919/263847. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.z))) REDUCED to normal form. ------ 7920/263874. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 7921/263892. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 7922/263901. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 7923/263928. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7924/263964. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a a)) 3. ==[ beta ]==> (((a a)(^y.y))(a a)) 4. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 7925/263972. ------ 1. ==[ start ]==> (^a.(b (^b.(^a.a)))) 2. ==[ alpha ]==> (^x.(b (^y.(^z.z)))) REDUCED to normal form. ------ 7926/263973. ------ 1. ==[ start ]==> (a (b (^b.(^a.a)))) 2. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 7927/265221. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a))) b) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y))) b) 3. ==[ beta ]==> (((a a)(^y.y)) b) 4. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 7928/265236. ------ 1. ==[ start ]==> ((^a.a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 7929/265245. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7930/265290. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 7931/265371. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^z.(^x1.x1))(a (a a)))(^y.y)) 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. ------ 7932/265392. ------ 1. ==[ start ]==> (((a a) b)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 7933/265488. ------ 1. ==[ start ]==> ((^a.(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(c ((^z.z) a))) 3. ==[ beta ]==> (^y.(c ((^z.z) a))) 4. ==[ alpha ]==> (^x.(c ((^y.y) a))) 5. ==[ beta ]==> (^x.(c a)) REDUCED to normal form. ------ 7934/265536. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 7935/265779. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 7936/265830. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^z.(^x1.x1)))(((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))(((^x1.a)(^y1.(^z1.z1)))((^x2.a)(^y2.(^z2.z2))))) 5. ==[ beta ]==> (a (((^x1.a)(^y1.(^z1.z1)))((^x2.a)(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (a (((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1))))) 7. ==[ beta ]==> (a (a ((^x1.a)(^y1.(^z1.z1))))) 8. ==[ alpha ]==> (a (a ((^x.a)(^y.(^z.z))))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 7937/266055. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 7938/266076. ------ 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)))(^x.a)) REDUCED to normal form. ------ 7939/266148. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.c)) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.y)) 3. ==[ beta ]==> ((b b)(^y.y)) 4. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 7940/266157. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.a))) REDUCED to normal form. ------ 7941/266283. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 7942/266337. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 7943/266355. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^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. ------ 7944/266391. ------ 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)) REDUCED to normal form. ------ 7945/266481. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 7946/266502. ------ 1. ==[ start ]==> ((a a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 7947/266511. ------ 1. ==[ start ]==> ((a (^a.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 7948/266547. ------ 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)((^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. ------ 7949/266556. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 7950/266574. ------ 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. ------ 7951/266601. ------ 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))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 7952/266610. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 7953/266628. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 7954/266637. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 7955/266655. ------ 1. ==[ start ]==> (((a a) b)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 7956/266682. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^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. ------ 7957/266709. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 7958/266754. ------ 1. ==[ start ]==> ((a (^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))(c ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.a))(c a)) REDUCED to normal form. ------ 7959/266772. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 7960/266799. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^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. ------ 7961/266835. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(a a))) 3. ==[ beta ]==> ((^y.a)((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.a)((a (a a))(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 7962/266862. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 7963/266871. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a) c)) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 7964/266916. ------ 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. ------ 7965/266952. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 7966/266979. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 7967/267015. ------ 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) a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 7968/267042. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 7969/267069. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^y.y))) 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. ------ 7970/267087. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a) b)) 3. ==[ beta ]==> ((a a)(((^y.y) a) b)) 4. ==[ alpha ]==> ((a a)(((^x.x) a) b)) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 7971/267096. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 7972/267132. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(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. ------ 7973/267168. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y)) a)) 3. ==[ beta ]==> ((a b)((^y.(y y)) a)) 4. ==[ alpha ]==> ((a b)((^x.(x x)) a)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 7974/267186. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) 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. ------ 7975/267195. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a) b)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a) b)) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 7976/267213. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 7977/267240. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) 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)((^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. ------ 7978/267276. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 7979/267303. ------ 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)))) REDUCED to normal form. ------ 7980/267321. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b c)) REDUCED to normal form. ------ 7981/267339. ------ 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. ------ 7982/267366. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.z))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 7983/267393. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(^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. ------ 7984/267411. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)((a a) c)) 3. ==[ beta ]==> ((b b)((a a) c)) REDUCED to normal form. ------ 7985/267420. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.a)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.a)) REDUCED to normal form. ------ 7986/267456. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 7987/267483. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 7988/267537. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b b)) 5. ==[ beta ]==> ((^y.y)(b b)) 6. ==[ alpha ]==> ((^x.x)(b b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 7989/267546. ------ 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. ------ 7990/267573. ------ 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. ------ 7991/267591. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (a a))) 5. ==[ beta ]==> ((^y.y)(b (a a))) 6. ==[ alpha ]==> ((^x.x)(b (a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 7992/267600. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 7993/267618. ------ 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 (^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. ------ 7994/267627. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 7995/267654. ------ 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 (^x.a)) b) REDUCED to normal form. ------ 7996/267672. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b a)) REDUCED to normal form. ------ 7997/267681. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 7998/267708. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 7999/267744. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 8000/269043. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8001/269088. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 8002/269124. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8003/269169. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^z.z))(^x1.(x1 x1)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 8004/269208. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^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. ------ 8005/269286. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.a))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.a))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 8006/269358. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1)) a)) 3. ==[ eta ]==> ((^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. ------ 8007/269460. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 8008/269478. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 8009/269529. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 8010/269628. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a) b)) 3. ==[ beta ]==> ((((^y.y) a) b)((((^y.y) a) b)(((^y.y) a) b))) 4. ==[ alpha ]==> ((((^x.x) a) b)((((^y.y) a) b)(((^z.z) a) b))) 5. ==[ beta ]==> ((a b)((((^y.y) a) b)(((^z.z) a) b))) 6. ==[ alpha ]==> ((a b)((((^x.x) a) b)(((^y.y) a) b))) 7. ==[ beta ]==> ((a b)((a b)(((^y.y) a) b))) 8. ==[ alpha ]==> ((a b)((a b)(((^x.x) a) b))) 9. ==[ beta ]==> ((a b)((a b)(a b))) REDUCED to normal form. ------ 8011/269703. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(y (y y)))) 3. ==[ beta ]==> ((a b)(^y.(y (y y)))) 4. ==[ alpha ]==> ((a b)(^x.(x (x x)))) REDUCED to normal form. ------ 8012/269784. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 8013/269853. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8014/269979. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 8015/270153. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 8016/270162. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 8017/270189. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(a a))) 3. ==[ beta ]==> ((a (^y.a))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(a a))) REDUCED to normal form. ------ 8018/270207. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 8019/270243. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 8020/270279. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.a)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 8021/270318. ------ 1. ==[ start ]==> ((a (^a.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 8022/270327. ------ 1. ==[ start ]==> (((^a.a) a)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (a ((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (a ((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 8023/270363. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 8024/270372. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 8025/270399. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 8026/270417. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 8027/270444. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 8028/270453. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^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. ------ 8029/270480. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 8030/270507. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^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. ------ 8031/270534. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8032/270561. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 8033/270597. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 8034/270633. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 8035/270678. ------ 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 (^x.x)) b)(a (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (a (^y.y)))) REDUCED to normal form. ------ 8036/270705. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a a)((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 8037/270723. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.(z z)))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.(y y)))) 5. ==[ beta ]==> (a (b (^y.(y y)))) 6. ==[ alpha ]==> (a (b (^x.(x x)))) REDUCED to normal form. ------ 8038/270732. ------ 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. ------ 8039/270750. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 8040/270804. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 8041/270822. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 8042/270849. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 8043/270876. ------ 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. ------ 8044/270903. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a) b)) 3. ==[ beta ]==> ((a (a (a a)))(a b)) REDUCED to normal form. ------ 8045/270912. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (a ((^x1.a)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 8046/270939. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8047/270975. ------ 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. ------ 8048/271002. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(a a))) 3. ==[ beta ]==> (((a (a a)) a)(a (a a))) REDUCED to normal form. ------ 8049/271029. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 8050/271047. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b (^x1.a))) 3. ==[ beta ]==> ((^y.y)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 8051/271056. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a) a)) REDUCED to normal form. ------ 8052/271101. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(a a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 8053/271128. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 8054/271146. ------ 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. ------ 8055/271173. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a) a)) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a) a)) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 8056/271200. ------ 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)) REDUCED to normal form. ------ 8057/271218. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b (a (^y.y)))) 3. ==[ beta ]==> ((b b)(b (a (^y.y)))) 4. ==[ alpha ]==> ((b b)(b (a (^x.x)))) REDUCED to normal form. ------ 8058/271254. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.a) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.a) a)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 8059/271263. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (^a.a))) 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. ------ 8060/271290. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 8061/271344. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((^y.(^z.z))(a a)) 8. ==[ alpha ]==> ((^x.(^y.y))(a a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8062/271353. ------ 1. ==[ start ]==> (((a (a a)) b)(b b)) REDUCED to normal form. ------ 8063/271398. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))(^a.a))) 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. ------ 8064/271407. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 8065/271425. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8066/271434. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (a (^z.z)))) REDUCED to normal form. ------ 8067/271461. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)(a a))) 3. ==[ beta ]==> ((a (^y.a))((a a)(a a))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(a a))) REDUCED to normal form. ------ 8068/271479. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 8069/271488. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 8070/271515. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(a b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 8071/271551. ------ 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)(^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. ------ 8072/271577. ------ 1. ==[ start ]==> (^a.((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (^x.((x (^y.y))(x (x x)))) REDUCED to normal form. ------ 8073/271578. ------ 1. ==[ start ]==> (a ((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (a ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 8074/271905. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8075/272526. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((^x.((^y.y)(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8076/272853. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a))) a) 2. ==[ alpha ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 8077/272859. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(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. ------ 8078/272886. ------ 1. ==[ start ]==> ((^a.(a a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a a)((^y.y)(^z.z)))) 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. ------ 8079/272949. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8080/273042. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 8081/273111. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a) c)) 3. ==[ beta ]==> (^y.(((^z.z) a) c)) 4. ==[ alpha ]==> (^x.(((^y.y) a) c)) 5. ==[ beta ]==> (^x.(a c)) REDUCED to normal form. ------ 8082/273183. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a ((^z.z)(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 8083/273186. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(^x.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 8084/273312. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 8085/273354. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 8086/273528. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 8087/273636. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 8088/273678. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8089/273804. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(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. ------ 8090/273807. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((a ((^x.x)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.z)) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 8091/273933. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 8092/273987. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 8093/274032. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.z)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 8094/274041. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 8095/274068. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 8096/274104. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(z z))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 8097/274131. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 8098/274143. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 8099/274161. ------ 1. ==[ start ]==> (((^a.a) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(b (^y.(^z.z)))) 3. ==[ beta ]==> (a (b (^y.(^z.z)))) 4. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 8100/274170. ------ 1. ==[ start ]==> ((a (a a))((a a)((^a.a)(^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. ------ 8101/274206. ------ 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)((^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. ------ 8102/274215. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 8103/274233. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 8104/274242. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 8105/274269. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 8106/274287. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8107/274296. ------ 1. ==[ start ]==> (((a a) b)((^a.(^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. ------ 8108/274314. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 8109/274323. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^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. ------ 8110/274341. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^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. ------ 8111/274350. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 8112/274368. ------ 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)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 8113/274377. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 8114/274395. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a) c)) 3. ==[ beta ]==> ((a (^x.a))(a c)) REDUCED to normal form. ------ 8115/274431. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8116/274440. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (a (a a)))) REDUCED to normal form. ------ 8117/274467. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a ((^a.a)(^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. ------ 8118/274476. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 8119/274503. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1)) 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. ------ 8120/274566. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (^y.(y y)))) REDUCED to normal form. ------ 8121/274593. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 8122/274620. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 8123/274638. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 8124/274728. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 8125/274746. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a) b)) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a) b)) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a) b)) 5. ==[ beta ]==> ((((^y.y) a) b)(((^y.y) a) b)) 6. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a) b)) 7. ==[ beta ]==> ((a b)(((^y.y) a) b)) 8. ==[ alpha ]==> ((a b)(((^x.x) a) b)) 9. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 8126/274773. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((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. ------ 8127/274809. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 8128/274827. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(z z)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 7. ==[ beta ]==> ((^y.(y y)) a) 8. ==[ alpha ]==> ((^x.(x x)) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 8129/274854. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a) b)) 3. ==[ beta ]==> ((a (a a))((^y.a) b)) 4. ==[ alpha ]==> ((a (a a))((^x.a) b)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 8130/274890. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.a))) REDUCED to normal form. ------ 8131/274917. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 8132/274935. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(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. ------ 8133/274944. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 8134/274962. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 8135/274980. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b c)) REDUCED to normal form. ------ 8136/275052. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 8137/275061. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(b (a (^x.x)))) REDUCED to normal form. ------ 8138/275088. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 8139/275097. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8140/275124. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 8141/275178. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))(^a.a))) 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. ------ 8142/275187. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 8143/275214. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (a ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 8144/275232. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a)) 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) REDUCED to normal form. ------ 8145/275241. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 8146/275259. ------ 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) b)) 4. ==[ alpha ]==> ((^x.x)((a a) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 8147/275268. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 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. ------ 8148/275295. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (^a.a))) 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. ------ 8149/275313. ------ 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))(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. ------ 8150/275322. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 8151/275349. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 8152/275385. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (a a))) 3. ==[ beta ]==> (((a a)(^y.y))(a (a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 8153/275412. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 8154/275478. ------ 1. ==[ start ]==> ((^a.b)(^a.(^c.a))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 8155/275748. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 8156/276369. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8157/276696. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a))) b) 2. ==[ alpha ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 8158/276720. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 8159/276738. ------ 1. ==[ start ]==> ((^a.(a a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 8160/276765. ------ 1. ==[ start ]==> ((^a.b)(a (^c.a))) 2. ==[ alpha ]==> ((^x.b)(a (^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 8161/276768. ------ 1. ==[ start ]==> ((a b)(^a.(^c.a))) 2. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 8162/276846. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^z.a)((^x1.x1) a))(^y.y)) 4. ==[ alpha ]==> (((^x.a)((^y.y) a))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 8163/277035. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8164/277038. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 8165/277047. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 8166/277281. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(a (a a)))) 3. ==[ beta ]==> ((a (a a))(^y.(a (a a)))) 4. ==[ alpha ]==> ((a (a a))(^x.(a (a a)))) REDUCED to normal form. ------ 8167/277305. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((^y.(y y))(^z.z))(((^y.(y y))(^z.z))((^y.(y y))(^z.z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.(z z))(^x1.x1))((^y1.(y1 y1))(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^y.y))(((^z.(z z))(^x1.x1))((^y1.(y1 y1))(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.(z z))(^x1.x1))((^y1.(y1 y1))(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)(((^z.(z z))(^x1.x1))((^y1.(y1 y1))(^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.(y y))(^z.z))((^x1.(x1 x1))(^y1.y1)))) 9. ==[ beta ]==> (((^y.(y y))(^z.z))((^x1.(x1 x1))(^y1.y1))) 10. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.x1))) 11. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.x1))) 12. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 13. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 14. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 15. ==[ beta ]==> ((^y.(y y))(^z.z)) 16. ==[ alpha ]==> ((^x.(x x))(^y.y)) 17. ==[ beta ]==> ((^y.y)(^y.y)) 18. ==[ alpha ]==> ((^x.x)(^y.y)) 19. ==[ beta ]==> (^y.y) 20. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8168/277380. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.d)) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.d)) 3. ==[ beta ]==> ((a b)(^y.d)) 4. ==[ alpha ]==> ((a b)(^x.d)) REDUCED to normal form. ------ 8169/277398. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z (z z)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 7. ==[ beta ]==> (^y.(y (y y))) 8. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 8170/277530. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8171/277578. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^y.a)) REDUCED to normal form. ------ 8172/277656. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8173/277659. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 8174/277668. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.x)(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8175/277893. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 8176/277956. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 8177/277983. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 8178/278013. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 8179/278031. ------ 1. ==[ start ]==> ((a (a a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 8180/278040. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 8181/278058. ------ 1. ==[ start ]==> ((a b)(a (^c.a))) 2. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 8182/278076. ------ 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))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 8183/278103. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 8184/278112. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 8185/278130. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 8186/278139. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 8187/278157. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 8188/278184. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 8189/278211. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 8190/278238. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a)) b)) REDUCED to normal form. ------ 8191/278274. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 8192/278301. ------ 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)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 8193/278328. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 8194/278337. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 8195/278364. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^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. ------ 8196/278373. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y)) b)) 3. ==[ beta ]==> (((a (^x.x)) b)(b b)) REDUCED to normal form. ------ 8197/278400. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a) c)) 3. ==[ beta ]==> ((a a)((^y.a) c)) 4. ==[ alpha ]==> ((a a)((^x.a) c)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 8198/278418. ------ 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. ------ 8199/278445. ------ 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. ------ 8200/278481. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(^z.z))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 8201/278517. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 8202/278544. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 8203/278571. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 8204/278589. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (a a)) a)) 3. ==[ beta ]==> ((a a)((a (a a)) a)) REDUCED to normal form. ------ 8205/278598. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(^y.y))) 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. ------ 8206/278634. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(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. ------ 8207/278688. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(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. ------ 8208/278697. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x)) a)) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 8209/278715. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a a))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 8210/278724. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a) b)) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 8211/278742. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^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. ------ 8212/278751. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 8213/278805. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 8214/278823. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c b)) REDUCED to normal form. ------ 8215/278841. ------ 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. ------ 8216/278868. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z) a)) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) a)) 7. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 8217/278895. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 8218/278913. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y)) b)) 3. ==[ beta ]==> ((b b)((a (^y.y)) b)) 4. ==[ alpha ]==> ((b b)((a (^x.x)) b)) REDUCED to normal form. ------ 8219/278922. ------ 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)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 8220/278949. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 8221/278958. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 8222/278985. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 5. ==[ beta ]==> ((a (^y.y))(a a)) 6. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 8223/279048. ------ 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. ------ 8224/279075. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 8225/279102. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 8226/279120. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b (a a))) 3. ==[ beta ]==> ((^y.y)(b (a a))) 4. ==[ alpha ]==> ((^x.x)(b (a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 8227/279129. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a) b)) REDUCED to normal form. ------ 8228/279156. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 8229/279174. ------ 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 (^y.y)))((a a)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 8230/279183. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 8231/279210. ------ 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. ------ 8232/279246. ------ 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)(^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. ------ 8233/279273. ------ 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. ------ 8234/280680. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8235/280725. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((((^z.z) a)(^x1.a))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.z)) 5. ==[ beta ]==> ((a (^y.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 8236/280791. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.((^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))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 8237/280842. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8238/280926. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(^b.(^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. ------ 8239/281085. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 8240/281184. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (a a)) a)) 3. ==[ beta ]==> (((a (a a)) a)(((a (a a)) a)((a (a a)) a))) REDUCED to normal form. ------ 8241/281277. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 8242/281286. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(x (x x)))) REDUCED to normal form. ------ 8243/281385. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 8244/281409. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.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. ------ 8245/281547. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8246/281628. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.y1))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 8247/281682. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(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))) REDUCED to normal form. ------ 8248/281691. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 8249/281745. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 8250/281862. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.a)) REDUCED to normal form. ------ 8251/281910. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (a ((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (a ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 8252/281928. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 8253/281937. ------ 1. ==[ start ]==> (((a a) a)((a a)((^a.a)(^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. ------ 8254/281982. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 8255/282000. ------ 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. ------ 8256/282027. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (^z.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 8257/282036. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^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. ------ 8258/282045. ------ 1. ==[ start ]==> (((a a) b)(c d)) REDUCED to normal form. ------ 8259/282063. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 8260/282090. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)((^a.a)(^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 (^x.x))((^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. ------ 8261/282117. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 8262/282144. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 8263/282180. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c ((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(c ((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y) a))) 5. ==[ beta ]==> (c ((^y.y) a)) 6. ==[ alpha ]==> (c ((^x.x) a)) 7. ==[ beta ]==> (c a) REDUCED to normal form. ------ 8264/282225. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 8265/282261. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(a a))) REDUCED to normal form. ------ 8266/282288. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (a (^y.y)))) 6. ==[ alpha ]==> ((a a)(a (a (^x.x)))) REDUCED to normal form. ------ 8267/282315. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.a))((a (^y.y)) a)) REDUCED to normal form. ------ 8268/282333. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 8269/282342. ------ 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. ------ 8270/282387. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 8271/282405. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 8272/282432. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 8273/282459. ------ 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. ------ 8274/282486. ------ 1. ==[ start ]==> ((a (a (a a)))((a (a a)) a)) REDUCED to normal form. ------ 8275/282495. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.z))) 5. ==[ beta ]==> (((^y.(y y))(^z.z))((^y.(y y))(^z.z))) 6. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.x1))) 7. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 11. ==[ beta ]==> ((^y.(y y))(^z.z)) 12. ==[ alpha ]==> ((^x.(x x))(^y.y)) 13. ==[ beta ]==> ((^y.y)(^y.y)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8276/282522. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 8277/282558. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b ((^y.y) a))) 3. ==[ beta ]==> ((a b)(b ((^y.y) a))) 4. ==[ alpha ]==> ((a b)(b ((^x.x) a))) 5. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 8278/282576. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(^x1.(x1 x1)))) 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. ------ 8279/282585. ------ 1. ==[ start ]==> (((a (a a)) a)(a (a (a a)))) REDUCED to normal form. ------ 8280/282612. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 8281/282639. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 8282/282666. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 8283/282684. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 8284/282711. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 8285/282729. ------ 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. ------ 8286/282756. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.a))) REDUCED to normal form. ------ 8287/282783. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^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. ------ 8288/282801. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c (a a))) 3. ==[ beta ]==> ((b b)(c (a a))) REDUCED to normal form. ------ 8289/282810. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x)) b)) REDUCED to normal form. ------ 8290/282846. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(^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. ------ 8291/282927. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.a))) 5. ==[ beta ]==> ((^y.y)(a (^y1.a))) 6. ==[ alpha ]==> ((^x.x)(a (^y.a))) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 8292/282936. ------ 1. ==[ start ]==> (((a (a a)) b)(c a)) REDUCED to normal form. ------ 8293/282963. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b b)) 3. ==[ beta ]==> (((^y.y) a)(b b)) 4. ==[ alpha ]==> (((^x.x) a)(b b)) 5. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 8294/282981. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 8295/282990. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a c)) REDUCED to normal form. ------ 8296/283008. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 8297/283017. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (a a))) REDUCED to normal form. ------ 8298/283044. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.a))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))(a (a (^y.y)))) REDUCED to normal form. ------ 8299/283062. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (^a.a))) 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. ------ 8300/283071. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 8301/283098. ------ 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. ------ 8302/283134. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a) a)) 3. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 8303/283161. ------ 1. ==[ start ]==> (((a (^a.a))(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. ------ 8304/283187. ------ 1. ==[ start ]==> (^a.(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (^x.(((^y.y) x)((^z.z) x))) 3. ==[ beta ]==> (^x.(x ((^z.z) x))) 4. ==[ alpha ]==> (^x.(x ((^y.y) x))) 5. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 8305/283188. ------ 1. ==[ start ]==> (a (((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (a (((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> (a (a ((^y.y) a))) 4. ==[ alpha ]==> (a (a ((^x.x) a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 8306/283245. ------ 1. ==[ start ]==> ((^a.b)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 8307/284490. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) 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) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 8308/284496. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.z) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 8309/284523. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (((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)))) REDUCED to normal form. ------ 8310/284550. ------ 1. ==[ start ]==> ((^a.b)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 8311/284553. ------ 1. ==[ start ]==> ((a b)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)(^x.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 8312/284586. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8313/284706. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 8314/284748. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a)) b)) 3. ==[ beta ]==> (^y.((a (a a)) b)) 4. ==[ alpha ]==> (^x.((a (a a)) b)) REDUCED to normal form. ------ 8315/284820. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (a (a a)))) 3. ==[ eta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 8316/284976. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.(^b.(^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. ------ 8317/284991. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))(^z.z))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 8318/285084. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(a (a a)))) 3. ==[ beta ]==> ((a a)(^y.(a (a a)))) 4. ==[ alpha ]==> ((a a)(^x.(a (a a)))) REDUCED to normal form. ------ 8319/285192. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 8320/285300. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 8321/285315. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) 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. ------ 8322/285441. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8323/285453. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 8324/285534. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.c)) 5. ==[ beta ]==> ((^y.y)(^y1.c)) 6. ==[ alpha ]==> ((^x.x)(^y.c)) 7. ==[ beta ]==> (^y.c) 8. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 8325/285543. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.x))) REDUCED to normal form. ------ 8326/285597. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 8327/285651. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 8328/285705. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 8329/285741. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.b)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 8330/285768. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(y y))) REDUCED to normal form. ------ 8331/285795. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) 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)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 8332/285807. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> ((a a)(a ((^y.y) a))) 4. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 8333/285834. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 8334/285852. ------ 1. ==[ start ]==> (((a a) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 8335/285861. ------ 1. ==[ start ]==> ((a b)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a b)((a a)(^y.y))) 4. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 8336/285897. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 8337/285906. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 8338/285933. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 7. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 8339/285951. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^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. ------ 8340/285960. ------ 1. ==[ start ]==> (((a a) b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 8341/285978. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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. ------ 8342/285987. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 8343/286005. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 8344/286014. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 8345/286032. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 8346/286041. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 8347/286059. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a)) b)) 2. ==[ alpha ]==> ((a (^x.a))((a (a a)) b)) REDUCED to normal form. ------ 8348/286095. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 8349/286131. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (a (a a)))) 3. ==[ beta ]==> ((a a)(b (a (a a)))) REDUCED to normal form. ------ 8350/286167. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8351/286221. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a) c)) 3. ==[ beta ]==> (((^y.y) a)((^z.a) c)) 4. ==[ alpha ]==> (((^x.x) a)((^y.a) c)) 5. ==[ beta ]==> (a ((^y.a) c)) 6. ==[ alpha ]==> (a ((^x.a) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 8352/286230. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (^y.a))) REDUCED to normal form. ------ 8353/286257. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(x1 x1)))) REDUCED to normal form. ------ 8354/286284. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(a (^b.(^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. ------ 8355/286302. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 8356/286392. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 8357/286410. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a)) a)) 3. ==[ beta ]==> ((^y.(y y))((a (a a)) a)) 4. ==[ alpha ]==> ((^x.(x x))((a (a a)) a)) 5. ==[ beta ]==> (((a (a a)) a)((a (a a)) a)) REDUCED to normal form. ------ 8358/286437. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 5. ==[ beta ]==> (((^y.y) a) b) 6. ==[ alpha ]==> (((^x.x) a) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 8359/286473. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 8360/286500. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(y y))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(x x))) REDUCED to normal form. ------ 8361/286518. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y)) a)) 3. ==[ beta ]==> ((a (a a))((^y.(y y)) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(x x)) a)) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 8362/286545. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a) b)) 3. ==[ beta ]==> ((^y.y)((^x1.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 8363/286554. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 8364/286581. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 8365/286608. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 8366/286626. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 8367/286671. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b c)) 3. ==[ beta ]==> (((a (^x.x)) a)(b c)) REDUCED to normal form. ------ 8368/286716. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 8369/286752. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 8370/286761. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8371/286788. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.a) a)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 8372/286851. ------ 1. ==[ start ]==> (((a (a a)) b)(a (^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)(a (^x.a))) REDUCED to normal form. ------ 8373/286878. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a a))) 5. ==[ beta ]==> (a ((^y.(^z.z))(a a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 8374/286896. ------ 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. ------ 8375/286905. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 8376/286923. ------ 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)((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. ------ 8377/286932. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))(^a.a))) 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. ------ 8378/286959. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 8379/286977. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 8380/286986. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 8381/287013. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 8382/287049. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a b)) 3. ==[ beta ]==> (((a a)(^y.y))(a b)) 4. ==[ alpha ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 8383/287076. ------ 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. ------ 8384/287103. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) 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)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 8385/287709. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(a (a a)))) 3. ==[ beta ]==> ((^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))))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 8386/288414. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) 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) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 8387/288438. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8388/288483. ------ 1. ==[ start ]==> ((^a.b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(b (^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 8389/288564. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^z.(z z))(a (^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.z)) 5. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 8390/288753. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ eta ]==> ((^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. ------ 8391/288792. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8392/289023. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a (a a)))((^z.z)(a (a a))))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a (a a)))((^z.z)(a (a a))))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a (a a)))((^y.y)(a (a a))))) 7. ==[ beta ]==> ((a (a a))((a (a a))((^y.y)(a (a a))))) 8. ==[ alpha ]==> ((a (a a))((a (a a))((^x.x)(a (a a))))) 9. ==[ beta ]==> ((a (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 8393/289026. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(a (a a)))) REDUCED to normal form. ------ 8394/289143. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(y (y y)))) 3. ==[ beta ]==> ((a (a a))(^y.(y (y y)))) 4. ==[ alpha ]==> ((a (a a))(^x.(x (x x)))) REDUCED to normal form. ------ 8395/289323. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a (a (^x.x)))(^y.a)) REDUCED to normal form. ------ 8396/289374. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))(^a.(^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. ------ 8397/289413. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8398/289476. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.c)) 2. ==[ alpha ]==> (((a (a a)) b)(^x.c)) REDUCED to normal form. ------ 8399/289530. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 8400/289584. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.b)) 3. ==[ beta ]==> ((a (^y.a))(^z.b)) 4. ==[ alpha ]==> ((a (^x.a))(^y.b)) REDUCED to normal form. ------ 8401/289602. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 8402/289638. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8403/289674. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(a a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 8404/289701. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 8405/289728. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.z))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 8406/289758. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 8407/289785. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((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. ------ 8408/289803. ------ 1. ==[ start ]==> ((a b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 8409/289812. ------ 1. ==[ start ]==> (((^a.a)(a a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 8410/289848. ------ 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 ((^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. ------ 8411/289857. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 8412/289875. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 8413/289884. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 8414/289902. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a a) b)(a (^y.a))) 4. ==[ alpha ]==> (((a a) b)(a (^x.a))) REDUCED to normal form. ------ 8415/289929. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 8416/289956. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 8417/289983. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^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. ------ 8418/290019. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 8419/290037. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) a) c)) 3. ==[ beta ]==> ((^y.y)(((^z.z) a) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) c)) 5. ==[ beta ]==> (((^y.y) a) c) 6. ==[ alpha ]==> (((^x.x) a) c) 7. ==[ beta ]==> (a c) REDUCED to normal form. ------ 8420/290046. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 8421/290073. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 8422/290082. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (a (a a)))) 3. ==[ beta ]==> ((^y.a)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.a)(b (a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 8423/290109. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a ((^a.a)(^a.a)))) 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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 8424/290118. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 8425/290145. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y)) b)) 3. ==[ beta ]==> ((a a)((^y.(y y)) b)) 4. ==[ alpha ]==> ((a a)((^x.(x x)) b)) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 8426/290163. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^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)))) 7. ==[ beta ]==> (a (a (a (^y.y)))) 8. ==[ alpha ]==> (a (a (a (^x.x)))) REDUCED to normal form. ------ 8427/290172. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a) c)) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 8428/290190. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 8429/290262. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(a a))) 5. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 8430/290289. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 8431/290316. ------ 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))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 8432/290334. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a a)(^y.(y y)))) 3. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 8433/290343. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)(a (a a)))) 3. ==[ beta ]==> ((a (a (a a)))(a (a a))) REDUCED to normal form. ------ 8434/290415. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y)) c)) 3. ==[ beta ]==> ((a b)((a (^y.y)) c)) 4. ==[ alpha ]==> ((a b)((a (^x.x)) c)) REDUCED to normal form. ------ 8435/290433. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> ((^y.y)(b ((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 8436/290460. ------ 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. ------ 8437/290469. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 8438/290487. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a a))) 5. ==[ beta ]==> (((^y.y) a)(a a)) 6. ==[ alpha ]==> (((^x.x) a)(a a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 8439/290496. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 8440/290541. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 8441/290586. ------ 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. ------ 8442/290613. ------ 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 (^x.x)) a)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 8443/290640. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^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. ------ 8444/290658. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 8445/290667. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 8446/290694. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))(^a.(^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. ------ 8447/290703. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8448/290730. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1) 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. ------ 8449/290784. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a a)(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 8450/290793. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a) c)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x) c)) 3. ==[ beta ]==> (((a (a a)) b) c) REDUCED to normal form. ------ 8451/290820. ------ 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. ------ 8452/290838. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^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. ------ 8453/290847. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 8454/290874. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z)) a)) REDUCED to normal form. ------ 8455/290901. ------ 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)) REDUCED to normal form. ------ 8456/290919. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a (a (^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 8457/290928. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 8458/290955. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) b)) 5. ==[ beta ]==> ((^y.y)((^z.z) b)) 6. ==[ alpha ]==> ((^x.x)((^y.y) b)) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 8459/290991. ------ 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)(^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. ------ 8460/291018. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 8461/291045. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) 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))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 8462/291561. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 8463/291885. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8464/292524. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 8465/292617. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8466/292641. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8467/292752. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 8468/292761. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 8469/292884. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 8470/292887. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 8471/292983. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a)(^y.(y y)))((a a)(^y.(y y))))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.(y y)))((a a)(^z.(z z))))) REDUCED to normal form. ------ 8472/292995. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))(^z.(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(a (a a)))) 5. ==[ beta ]==> ((^y.(a (a a)))(^y.(a (a a)))) 6. ==[ alpha ]==> ((^x.(a (a a)))(^y.(a (a a)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 8473/293103. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 8474/293112. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y (y y)))) REDUCED to normal form. ------ 8475/293208. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8476/293211. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 8477/293334. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8478/293373. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 8479/293436. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 8480/293508. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 8481/293562. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 8482/293571. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 8483/293688. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) 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)) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 8484/293736. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) 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 (a ((^y.y) a))) 6. ==[ alpha ]==> (a (a ((^x.x) a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 8485/293763. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 8486/293781. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 8487/293790. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 8488/293826. ------ 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))((^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. ------ 8489/293853. ------ 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. ------ 8490/293862. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8491/293889. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 8492/293916. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 8493/293943. ------ 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)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8494/293970. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 8495/293988. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a)) b)) REDUCED to normal form. ------ 8496/294051. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 8497/294078. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)(^b.(^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. ------ 8498/294087. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 8499/294114. ------ 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. ------ 8500/294141. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (a (^y.y)))) REDUCED to normal form. ------ 8501/294168. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1)) a)) REDUCED to normal form. ------ 8502/294195. ------ 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. ------ 8503/294213. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 8504/294231. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 8505/294258. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 8506/294285. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 8507/294312. ------ 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. ------ 8508/294321. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a (a a)))((^y.y)(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(a (a a)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(a (a a)))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(a (a a)))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 8509/294348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 8510/294384. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (a (^y.y)))) 3. ==[ beta ]==> ((a b)(c (a (^y.y)))) 4. ==[ alpha ]==> ((a b)(c (a (^x.x)))) REDUCED to normal form. ------ 8511/294402. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8512/294411. ------ 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. ------ 8513/294429. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 8514/294438. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (a (a a)))) REDUCED to normal form. ------ 8515/294465. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (a a))) REDUCED to normal form. ------ 8516/294492. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 8517/294510. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (^y.a))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.a))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.a))) REDUCED to normal form. ------ 8518/294519. ------ 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))(^x.x))((a a) a)) REDUCED to normal form. ------ 8519/294537. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 8520/294555. ------ 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. ------ 8521/294582. ------ 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. ------ 8522/294609. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> ((a (a (^y.y)))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 8523/294636. ------ 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. ------ 8524/294663. ------ 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 (^y.y))((a (^z.z)) b)) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 8525/294672. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8526/294699. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 8527/294753. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 8528/294762. ------ 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. ------ 8529/294807. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((^y.(^z.z))(a a)) 8. ==[ alpha ]==> ((^x.(^y.y))(a a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8530/294816. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 8531/294834. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 8532/294870. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b (a a))) 3. ==[ beta ]==> ((a (^y.a))(b (a a))) 4. ==[ alpha ]==> ((a (^x.a))(b (a a))) REDUCED to normal form. ------ 8533/294888. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 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. ------ 8534/294897. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 8535/294924. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 8536/294960. ------ 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))) REDUCED to normal form. ------ 8537/294987. ------ 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. ------ 8538/295014. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) 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 a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 8539/295040. ------ 1. ==[ start ]==> (^a.((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (^x.((x (x x))(x (^y.y)))) REDUCED to normal form. ------ 8540/295041. ------ 1. ==[ start ]==> (a ((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (a ((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 8541/296370. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a))) a) 2. ==[ alpha ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 8542/296376. ------ 1. ==[ start ]==> ((^a.a)((a (a a))(a (^a.a)))) 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. ------ 8543/296403. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((((^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))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 8544/296430. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 8545/296478. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 8546/296613. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^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. ------ 8547/296628. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (^x.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 8548/296748. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 8549/297099. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 8550/297288. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 8551/297450. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.y))) 5. ==[ beta ]==> (a (^y.(^z.y))) 6. ==[ alpha ]==> (a (^x.(^y.x))) REDUCED to normal form. ------ 8552/297504. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 8553/297558. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 8554/297648. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.b)) REDUCED to normal form. ------ 8555/297675. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(z z))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(z z))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(y y))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 8556/297702. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 8557/297714. ------ 1. ==[ start ]==> ((a a)((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a a)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 8558/297741. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)((^a.a) 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. ------ 8559/297768. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 8560/297786. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 8561/297813. ------ 1. ==[ start ]==> (((^a.a) b)(a (^c.a))) 2. ==[ alpha ]==> (((^x.x) b)(a (^y.a))) 3. ==[ beta ]==> (b (a (^y.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 8562/297840. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 8563/297858. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8564/297867. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 8565/297885. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^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. ------ 8566/297894. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 8567/297912. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 8568/297921. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 8569/297939. ------ 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)((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. ------ 8570/297948. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 8571/297966. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.a))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 8572/298002. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8573/298083. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^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. ------ 8574/298128. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z)) b)) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z)) b)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y)) b)) 5. ==[ beta ]==> (a ((^y.(y y)) b)) 6. ==[ alpha ]==> (a ((^x.(x x)) b)) 7. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 8575/298155. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a) c)) 3. ==[ beta ]==> ((^y.y)((^x1.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 8576/298191. ------ 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)))) REDUCED to normal form. ------ 8577/298299. ------ 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 a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 8578/298317. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.(y y))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(^y.(y y)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 8579/298344. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (a a)) a)) 3. ==[ beta ]==> ((^y.y)((a (a a)) a)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 8580/298380. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 8581/298407. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 8582/298434. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 8583/298452. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 8584/298515. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.a))) REDUCED to normal form. ------ 8585/298605. ------ 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)) REDUCED to normal form. ------ 8586/298623. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 8587/298668. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8588/298749. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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 ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8589/298758. ------ 1. ==[ start ]==> (((a (a a)) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 8590/298785. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(a (^z.a))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.a))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.a))) 5. ==[ beta ]==> (a (a (^y.a))) 6. ==[ alpha ]==> (a (a (^x.a))) REDUCED to normal form. ------ 8591/298803. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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)) REDUCED to normal form. ------ 8592/298812. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 8593/298830. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 8594/298839. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(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. ------ 8595/298866. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))(^a.a))) 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. ------ 8596/298884. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a) b)) REDUCED to normal form. ------ 8597/298893. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 8598/298920. ------ 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. ------ 8599/298956. ------ 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)) REDUCED to normal form. ------ 8600/298983. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a b)) REDUCED to normal form. ------ 8601/299010. ------ 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))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 8602/299037. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(a a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 8603/299868. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8604/300375. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a))) b) 2. ==[ alpha ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 8605/300399. ------ 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) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8606/300444. ------ 1. ==[ start ]==> ((^a.b)(c (^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)(c (^y.(y y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 8607/300480. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8608/300525. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^z.(^x1.x1))(a a))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8609/300714. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(^x1.a))) 3. ==[ eta ]==> ((^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. ------ 8610/300885. ------ 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. ------ 8611/300906. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 8612/300984. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))(((^y.(^z.z))((^x1.x1) a))((^y.(^z.z))((^x1.x1) a)))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.(^y1.y1))((^z1.z1) a))((^x2.(^y2.y2))((^z2.z2) a)))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))((^z1.z1) a))((^x2.(^y2.y2))((^z2.z2) a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a)))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8613/301131. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 8614/301209. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8615/301212. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 8616/301230. ------ 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. ------ 8617/301302. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.a))) 3. ==[ beta ]==> ((b b)(^y.(^z.a))) 4. ==[ alpha ]==> ((b b)(^x.(^y.a))) REDUCED to normal form. ------ 8618/301311. ------ 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))(^x.a)) REDUCED to normal form. ------ 8619/301335. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 8620/301464. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.c)) 3. ==[ beta ]==> (((^y.y) a)(^z.c)) 4. ==[ alpha ]==> (((^x.x) a)(^y.c)) 5. ==[ beta ]==> (a (^y.c)) 6. ==[ alpha ]==> (a (^x.c)) REDUCED to normal form. ------ 8621/301635. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 8622/301662. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(a a))) REDUCED to normal form. ------ 8623/301689. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.z))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 8624/301716. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 8625/301746. ------ 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. ------ 8626/301773. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a)((^a.a) 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. ------ 8627/301791. ------ 1. ==[ start ]==> ((a b)(c (^a.(a a)))) 2. ==[ alpha ]==> ((a b)(c (^x.(x x)))) REDUCED to normal form. ------ 8628/301800. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 8629/301827. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 8630/301863. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8631/301872. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 8632/301890. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 8633/301917. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.a))) REDUCED to normal form. ------ 8634/301944. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 8635/301971. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 8636/302007. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))(^a.a))) 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. ------ 8637/302025. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (a a)) b)) 3. ==[ beta ]==> ((^y.y)((a (a a)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 8638/302034. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 8639/302061. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 8640/302070. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c ((^z.z) a))) 3. ==[ beta ]==> ((^y.a)(c ((^z.z) a))) 4. ==[ alpha ]==> ((^x.a)(c ((^y.y) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 8641/302097. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 8642/302133. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 8643/302151. ------ 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. ------ 8644/302160. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a)(^x.a))(b b)) REDUCED to normal form. ------ 8645/302178. ------ 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)(((^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. ------ 8646/302187. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 8647/302232. ------ 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. ------ 8648/302250. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 8649/302277. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 8650/302304. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 8651/302322. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 8652/302331. ------ 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)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 8653/302403. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 8654/302448. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b ((^y.y) a))) 3. ==[ beta ]==> ((a (a a))(b ((^y.y) a))) 4. ==[ alpha ]==> ((a (a a))(b ((^x.x) a))) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 8655/302475. ------ 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)(a (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 8656/302484. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 8657/302511. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) b)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 8658/302529. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 8659/302556. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 8660/302574. ------ 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. ------ 8661/302601. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(a a))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 8662/302628. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 8663/302646. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 8664/302655. ------ 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. ------ 8665/302682. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 8666/302691. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(c (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8667/302718. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 8668/302772. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 7. ==[ beta ]==> ((a (^y.y))(a a)) 8. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 8669/302781. ------ 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)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 8670/302835. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 8671/302853. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 8672/302862. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 8673/302889. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a)) 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. ------ 8674/302907. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b (a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b (a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (a a))) REDUCED to normal form. ------ 8675/302916. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 8676/302943. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8677/302979. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 8678/303006. ------ 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. ------ 8679/303033. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) 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))) 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. ------ 8680/303060. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 8681/303077. ------ 1. ==[ start ]==> (^a.((^b.(^a.a)) b)) 2. ==[ alpha ]==> (^x.((^y.(^z.z)) b)) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8682/303078. ------ 1. ==[ start ]==> (a ((^b.(^a.a)) b)) 2. ==[ alpha ]==> (a ((^x.(^y.y)) b)) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 8683/303333. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (^x.(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^x.(^y.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 8684/304431. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8685/304521. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8686/304533. ------ 1. ==[ start ]==> (((^a.a) b)(^c.((^a.a)(^a.a)))) 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)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 8687/304566. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))(^y1.y1))(^y.y)) 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. ------ 8688/304683. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^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 ]==> (^x.((^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. ------ 8689/304686. ------ 1. ==[ start ]==> ((a (^b.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 8690/304830. ------ 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)))) 5. ==[ beta ]==> ((a a)(^x.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 8691/304926. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (^z.(z z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 8692/305025. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a (^y.y))(^z.a))(((a (^y.y))(^z.a))((a (^y.y))(^z.a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a (^z.z))(^x1.a))((a (^y1.y1))(^z1.a)))) REDUCED to normal form. ------ 8693/305064. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 8694/305172. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^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. ------ 8695/305181. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(z (z z)))) REDUCED to normal form. ------ 8696/305250. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8697/305376. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^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. ------ 8698/305523. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 8699/305586. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.c)) 3. ==[ beta ]==> ((a (^y.a))(^z.c)) 4. ==[ alpha ]==> ((a (^x.a))(^y.c)) REDUCED to normal form. ------ 8700/305640. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 7. ==[ beta ]==> (^y.(y (^z.z))) 8. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 8701/305676. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 8702/305757. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 8703/305787. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 8704/305805. ------ 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. ------ 8705/305832. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)((^a.a) 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. ------ 8706/305859. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 8707/305877. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 8708/305886. ------ 1. ==[ start ]==> (((^a.a) b)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (b ((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 8709/305922. ------ 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))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 8710/305931. ------ 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 ]==> ((^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. ------ 8711/305958. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 8712/305985. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 8713/306012. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8714/306039. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 8715/306057. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y) a)) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 8716/306084. ------ 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. ------ 8717/306120. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 8718/306147. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 8719/306156. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (a (a a)))) REDUCED to normal form. ------ 8720/306183. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 8721/306210. ------ 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. ------ 8722/306237. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (a (^x1.x1)))) REDUCED to normal form. ------ 8723/306264. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 8724/306282. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(y y)))) REDUCED to normal form. ------ 8725/306327. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 8726/306354. ------ 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. ------ 8727/306381. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 8728/306390. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8729/306417. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 8730/306471. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 8731/306498. ------ 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))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 8732/306507. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(b a)) REDUCED to normal form. ------ 8733/306525. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 8734/306534. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (a (a a)))) REDUCED to normal form. ------ 8735/306561. ------ 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. ------ 8736/306588. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 8737/306606. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 8738/306651. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) 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. ------ 8739/306678. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 8740/306696. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b c)) 2. ==[ alpha ]==> (((^x.(x x)) b)(b c)) 3. ==[ beta ]==> ((b b)(b c)) REDUCED to normal form. ------ 8741/306705. ------ 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. ------ 8742/306732. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 8743/306741. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)(^a.a))) 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. ------ 8744/306768. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))(^a.(^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. ------ 8745/306831. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(a a))) REDUCED to normal form. ------ 8746/306858. ------ 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 ]==> (((^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. ------ 8747/306876. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a (^b.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. ------ 8748/306885. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c a)) REDUCED to normal form. ------ 8749/306903. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 8750/306912. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b b)) REDUCED to normal form. ------ 8751/306939. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a c)) 3. ==[ beta ]==> ((a (^y.a))(a c)) 4. ==[ alpha ]==> ((a (^x.a))(a c)) REDUCED to normal form. ------ 8752/306957. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))(^a.a))) 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. ------ 8753/306966. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 8754/306993. ------ 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. ------ 8755/307029. ------ 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)(^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. ------ 8756/307056. ------ 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. ------ 8757/307083. ------ 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)) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 8758/307110. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y) a)) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 8759/307136. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(x x))) 3. ==[ beta ]==> (^x.((^z.z)(x x))) 4. ==[ alpha ]==> (^x.((^y.y)(x x))) 5. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 8760/307137. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (a (((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> (a ((^y.y)(a a))) 4. ==[ alpha ]==> (a ((^x.x)(a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 8761/307392. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(^b.(^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. ------ 8762/308493. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a)) a) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a)) a) 3. ==[ beta ]==> (((^y.y)(a a)) a) 4. ==[ alpha ]==> (((^x.x)(a a)) a) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 8763/308499. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 8764/308508. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8765/308526. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> (((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)))) REDUCED to normal form. ------ 8766/308553. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 8767/308751. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 8768/308754. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 8769/308898. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 8770/309132. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^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. ------ 8771/309249. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 8772/309318. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8773/309591. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.c)) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.c)) 5. ==[ beta ]==> ((^y.y)(^z.c)) 6. ==[ alpha ]==> ((^x.x)(^y.c)) 7. ==[ beta ]==> (^y.c) 8. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 8774/309600. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 8775/309654. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 8776/309708. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 8777/309798. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.b)) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.b)) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.b)) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 8778/309825. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 8779/309852. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.z)) 3. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 8780/309864. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> ((a a)((^y.y)(a a))) 4. ==[ alpha ]==> ((a a)((^x.x)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 8781/309873. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 8782/309891. ------ 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. ------ 8783/309918. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)((^a.a) 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))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 8784/309963. ------ 1. ==[ start ]==> (((^a.a) b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 8785/309972. ------ 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. ------ 8786/310008. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8787/310017. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 8788/310035. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 8789/310044. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 8790/310062. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.a))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 8791/310071. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 8792/310089. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 8793/310098. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 8794/310116. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 8795/310152. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8796/310197. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a) c)) 3. ==[ beta ]==> ((^y.a)(((^z.z) a) c)) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 8797/310233. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 8798/310260. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 8799/310278. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) a)) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 8800/310305. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 5. ==[ beta ]==> ((^y.(y y)) b) 6. ==[ alpha ]==> ((^x.(x x)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 8801/310377. ------ 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. ------ 8802/310449. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 8803/310467. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.a))) 5. ==[ beta ]==> (((a (^y.y))(^z.a))((a (^y.y))(^z.a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 8804/310494. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((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. ------ 8805/310530. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a b)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 8806/310548. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) 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. ------ 8807/310557. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 8808/310584. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 8809/310611. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(z z))) REDUCED to normal form. ------ 8810/310656. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 8811/310683. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 8812/310701. ------ 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. ------ 8813/310773. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 8814/310782. ------ 1. ==[ start ]==> (((a (a a))(a a))(b c)) REDUCED to normal form. ------ 8815/310818. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8816/310845. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 8817/310899. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) a)) 5. ==[ beta ]==> ((^y.y)((^y1.a) a)) 6. ==[ alpha ]==> ((^x.x)((^y.a) a)) 7. ==[ beta ]==> ((^y.a) a) 8. ==[ alpha ]==> ((^x.a) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 8818/310908. ------ 1. ==[ start ]==> (((a (a a)) b)(c (^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)(c (^x.x))) REDUCED to normal form. ------ 8819/310935. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.(^z.z)))) 5. ==[ beta ]==> (a (b (^y.(^z.z)))) 6. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 8820/310962. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 8821/310980. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a (^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. ------ 8822/310989. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 8823/311016. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(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. ------ 8824/311034. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 8825/311043. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 8826/311070. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8827/311106. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 8828/311133. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b a)) REDUCED to normal form. ------ 8829/311160. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) 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)) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 8830/311187. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 8831/311214. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(a a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(a a)) 3. ==[ beta ]==> (((^y.y)(a a))(a a)) 4. ==[ alpha ]==> (((^x.x)(a a))(a a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 8832/312171. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8833/312579. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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. ------ 8834/312603. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^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. ------ 8835/312684. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8836/312867. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 8837/312918. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 8838/313011. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a (^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (^x.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 8839/313089. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 8840/313137. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 8841/313188. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.a)(a (^z.z)))(((^y.a)(a (^z.z)))((^y.a)(a (^z.z))))) 4. ==[ alpha ]==> (((^x.a)(a (^y.y)))(((^z.a)(a (^x1.x1)))((^y1.a)(a (^z1.z1))))) 5. ==[ beta ]==> (a (((^z.a)(a (^x1.x1)))((^y1.a)(a (^z1.z1))))) 6. ==[ alpha ]==> (a (((^x.a)(a (^y.y)))((^z.a)(a (^x1.x1))))) 7. ==[ beta ]==> (a (a ((^z.a)(a (^x1.x1))))) 8. ==[ alpha ]==> (a (a ((^x.a)(a (^y.y))))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 8842/313344. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.d)) REDUCED to normal form. ------ 8843/313413. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8844/313461. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(z z)))) REDUCED to normal form. ------ 8845/313539. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8846/313542. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 8847/313632. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.((^a.a) a))) 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. ------ 8848/313695. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 8849/313749. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 8850/313866. ------ 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. ------ 8851/313893. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(a a))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 8852/313920. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 8853/313947. ------ 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. ------ 8854/313977. ------ 1. ==[ start ]==> ((a (^a.a))(((^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. ------ 8855/313986. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) b)) 3. ==[ beta ]==> (a ((^y.(^z.z)) b)) 4. ==[ alpha ]==> (a ((^x.(^y.y)) b)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 8856/314004. ------ 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 ]==> ((^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. ------ 8857/314031. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((a a)(a ((^y.y) a))) 6. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 8858/314058. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 8859/314076. ------ 1. ==[ start ]==> (((a a)(a a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 8860/314121. ------ 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)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 8861/314148. ------ 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. ------ 8862/314175. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 8863/314202. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 8864/314238. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^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. ------ 8865/314256. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 8866/314265. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 8867/314292. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 8868/314382. ------ 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)))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 8869/314391. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 8870/314409. ------ 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. ------ 8871/314418. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b b)) REDUCED to normal form. ------ 8872/314445. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.a) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.a) c)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 8873/314463. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 8874/314481. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.(y y)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(x x)))) REDUCED to normal form. ------ 8875/314508. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 8876/314535. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(a a))) 5. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 8877/314553. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 8878/314562. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 8879/314634. ------ 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. ------ 8880/314661. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a) b)) 3. ==[ beta ]==> (((a (a a)) a)(a b)) REDUCED to normal form. ------ 8881/314706. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(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. ------ 8882/314742. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 8883/314760. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a a)(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. ------ 8884/314769. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a) b)) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 8885/314787. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 8886/314805. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.a))) REDUCED to normal form. ------ 8887/314832. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a (^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(y y)))) REDUCED to normal form. ------ 8888/314859. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(a a))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 8889/314877. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 8890/314886. ------ 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. ------ 8891/314913. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 8892/315003. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)(a ((^y1.y1) 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. ------ 8893/315012. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a) a)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a) a)) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 8894/315039. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) b)) 5. ==[ beta ]==> (a ((^y.(^z.z)) b)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) b)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 8895/315057. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 8896/315066. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) c) REDUCED to normal form. ------ 8897/315093. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 8898/315120. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 8899/315147. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 8900/315174. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 8901/315210. ------ 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)(^y.y))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 8902/315237. ------ 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. ------ 8903/315264. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) 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))) 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. ------ 8904/315291. ------ 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. ------ 8905/315318. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(a (^z.z))) 3. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 4. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 8906/316743. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((^y.(^z.z)) b)((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 7. ==[ beta ]==> ((^y.(^z.z)) b) 8. ==[ alpha ]==> ((^x.(^y.y)) b) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8907/316770. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a)) c)) 2. ==[ alpha ]==> ((^x.b)((^y.(y y)) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 8908/316968. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^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. ------ 8909/317040. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a)) b)) 3. ==[ eta ]==> ((^y.y)((a (a a)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 8910/317133. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 8911/317142. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 8912/317310. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.x1)))((((^y.y) a)(^z.(^x1.x1)))(((^y.y) a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((((^x1.x1) a)(^y1.(^z1.z1)))(((^x2.x2) a)(^y2.(^z2.z2))))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((((^x1.x1) a)(^y1.(^z1.z1)))(((^x2.x2) a)(^y2.(^z2.z2))))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((((^z.z) a)(^x1.(^y1.y1)))(((^z1.z1) a)(^x2.(^y2.y2))))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((a (^x1.(^y1.y1)))(((^z1.z1) a)(^x2.(^y2.y2))))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2))))) 9. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a (^z1.(^x2.x2))))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 8913/317493. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 8914/317535. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8915/317661. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a a)(^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. ------ 8916/317673. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 8917/317754. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.a))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.a))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 7. ==[ beta ]==> (^y.(^z.a)) 8. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 8918/317763. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.((^a.a) a))) 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. ------ 8919/317817. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 8920/317835. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 8921/317889. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 8922/317988. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 8923/318069. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.a)) 3. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 8924/318092. ------ 1. ==[ start ]==> (^a.(^a.((a a) a))) 2. ==[ alpha ]==> (^x.(^y.((y y) y))) REDUCED to normal form. ------ 8925/318093. ------ 1. ==[ start ]==> (a (^a.((a a) a))) 2. ==[ alpha ]==> (a (^x.((x x) x))) REDUCED to normal form. ------ 8926/318117. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^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 ((^y.y)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 8927/318126. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 8928/318144. ------ 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. ------ 8929/318153. ------ 1. ==[ start ]==> ((a b)((^a.(a a)) c)) 2. ==[ alpha ]==> ((a b)((^x.(x x)) c)) 3. ==[ beta ]==> ((a b)(c c)) REDUCED to normal form. ------ 8930/318171. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 8931/318198. ------ 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. ------ 8932/318225. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 8933/318270. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 8934/318297. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 8935/318324. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 8936/318351. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^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. ------ 8937/318369. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 8938/318396. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 8939/318423. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (a a)) b)) 3. ==[ beta ]==> ((a a)((a (a a)) b)) REDUCED to normal form. ------ 8940/318432. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 8941/318459. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 8942/318468. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c ((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(c a)) REDUCED to normal form. ------ 8943/318495. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (a (a a)))) 3. ==[ beta ]==> ((a a)(b (a (a a)))) REDUCED to normal form. ------ 8944/318513. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)(^b.(^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. ------ 8945/318522. ------ 1. ==[ start ]==> (((a a)(^b.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 8946/318549. ------ 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. ------ 8947/318576. ------ 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 (^x.x))(a (a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 8948/318666. ------ 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. ------ 8949/318693. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 8950/318702. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (((^y.a)(a (^z.z)))((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> (((^x.a)(a (^y.y)))((^z.a)(a (^x1.x1)))) 7. ==[ beta ]==> (a ((^z.a)(a (^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.a)(a (^y.y)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 8951/318729. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8952/318783. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 7. ==[ beta ]==> ((^y.(y y))(^z.z)) 8. ==[ alpha ]==> ((^x.(x x))(^y.y)) 9. ==[ beta ]==> ((^y.y)(^y.y)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8953/318810. ------ 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)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 8954/318837. ------ 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)((^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. ------ 8955/318846. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(b a)) REDUCED to normal form. ------ 8956/318873. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 8957/318900. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (a a))) REDUCED to normal form. ------ 8958/318918. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 8959/318990. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) 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. ------ 8960/319008. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c b)) 2. ==[ alpha ]==> (((^x.(x x)) b)(c b)) 3. ==[ beta ]==> ((b b)(c b)) REDUCED to normal form. ------ 8961/319017. ------ 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. ------ 8962/319044. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 8963/319053. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)((^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. ------ 8964/319080. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 8965/319134. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.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. ------ 8966/319143. ------ 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. ------ 8967/319170. ------ 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. ------ 8968/319188. ------ 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 ]==> (((^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. ------ 8969/319197. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 8970/319215. ------ 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)(a (^z.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 8971/319251. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b b)) 3. ==[ beta ]==> ((a (^y.a))(b b)) 4. ==[ alpha ]==> ((a (^x.a))(b b)) REDUCED to normal form. ------ 8972/319269. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(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. ------ 8973/319305. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b (a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (a a))) 5. ==[ beta ]==> ((^y.y)(b (a a))) 6. ==[ alpha ]==> ((^x.x)(b (a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 8974/319341. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 8975/319368. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y) b)) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 8976/319395. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(^z.z))) 3. ==[ beta ]==> ((a ((^y.y) a))((a a)(^z.z))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.y))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 8977/319422. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 8978/319449. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 8979/319473. ------ 1. ==[ start ]==> ((^a.((a a) a)) a) 2. ==[ alpha ]==> ((^x.((x x) x)) a) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 8980/319475. ------ 1. ==[ start ]==> (^a.(a ((a a) a))) 2. ==[ alpha ]==> (^x.(x ((x x) x))) REDUCED to normal form. ------ 8981/319476. ------ 1. ==[ start ]==> (a (a ((a a) a))) REDUCED to normal form. ------ 8982/319479. ------ 1. ==[ start ]==> ((^a.a)(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 3. ==[ beta ]==> (^y.((y y) y)) 4. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 8983/320856. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.a)) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.y)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 8984/320859. ------ 1. ==[ start ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 8985/320865. ------ 1. ==[ start ]==> ((^a.a)(a ((a a) a))) 2. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 3. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 8986/320868. ------ 1. ==[ start ]==> ((a a)(^a.((a a) a))) 2. ==[ alpha ]==> ((a a)(^x.((x x) x))) REDUCED to normal form. ------ 8987/320892. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((((^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))) 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. ------ 8988/320919. ------ 1. ==[ start ]==> ((^a.b)((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a (a a))(a (^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 8989/321000. ------ 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 ]==> (((a a)((^z.z)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.z)) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 8990/321021. ------ 1. ==[ start ]==> (((a a) b)(^a.(^c.a))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.x))) REDUCED to normal form. ------ 8991/321117. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 8992/321156. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8993/321291. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 8994/321360. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a) c)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 8995/321534. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(a (a a)))) 3. ==[ beta ]==> ((a b)(^y.(a (a a)))) 4. ==[ alpha ]==> ((a b)(^x.(a (a a)))) REDUCED to normal form. ------ 8996/321642. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 8997/321684. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 8998/321810. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b c)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b 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. ------ 8999/321822. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9000/321912. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.a))) REDUCED to normal form. ------ 9001/321984. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 9002/321993. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.z))) REDUCED to normal form. ------ 9003/322047. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 9004/322110. ------ 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)(^y.y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 9005/322191. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 9006/322218. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(z z))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 9007/322242. ------ 1. ==[ start ]==> ((^a.((a a) a))(a a)) 2. ==[ alpha ]==> ((^x.((x x) x))(a a)) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 9008/322245. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.a)) 2. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 9009/322250. ------ 1. ==[ start ]==> (^a.(^b.(^c.a))) 2. ==[ alpha ]==> (^x.(^y.(^z.x))) REDUCED to normal form. ------ 9010/322251. ------ 1. ==[ start ]==> (a (^b.(^c.a))) 2. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 9011/322257. ------ 1. ==[ start ]==> ((a a)(a ((a a) a))) REDUCED to normal form. ------ 9012/322284. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^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. ------ 9013/322293. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9014/322311. ------ 1. ==[ start ]==> ((a b)((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 9015/322356. ------ 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. ------ 9016/322365. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 9017/322383. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 9018/322392. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 9019/322410. ------ 1. ==[ start ]==> (((a a) b)(a (^c.a))) 2. ==[ alpha ]==> (((a a) b)(a (^x.a))) REDUCED to normal form. ------ 9020/322428. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^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. ------ 9021/322437. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 9022/322455. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 9023/322464. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 9024/322482. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 9025/322491. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 9026/322509. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 9027/322545. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9028/322590. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a)) b)) 3. ==[ beta ]==> ((^y.a)((a (a a)) b)) 4. ==[ alpha ]==> ((^x.a)((a (a a)) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 9029/322626. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 9030/322653. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 9031/322680. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 9032/322698. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9033/322752. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a) c)) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 9034/322770. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((a (^x.x)) a)) REDUCED to normal form. ------ 9035/322797. ------ 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. ------ 9036/322842. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))(a a))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a a))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 9037/322860. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.x1)))(((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 9038/322887. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 9039/322923. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 9040/322941. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a)) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((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. ------ 9041/322950. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)(^y.y))) 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. ------ 9042/322968. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a) b)) 3. ==[ beta ]==> ((a (a a))(((^y.y) a) b)) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a) b)) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 9043/322977. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 9044/323004. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 9045/323031. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 9046/323049. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 9047/323076. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 9048/323094. ------ 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. ------ 9049/323121. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a) a)) REDUCED to normal form. ------ 9050/323166. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.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) REDUCED to normal form. ------ 9051/323202. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b c)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b c)) 3. ==[ beta ]==> ((a (^y.y))(b c)) 4. ==[ alpha ]==> ((a (^x.x))(b c)) REDUCED to normal form. ------ 9052/323211. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^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 ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9053/323238. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 9054/323301. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.a)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.a)) REDUCED to normal form. ------ 9055/323346. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 7. ==[ beta ]==> ((^y.(^z.z)) b) 8. ==[ alpha ]==> ((^x.(^y.y)) b) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9056/323355. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 9057/323382. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.a))) REDUCED to normal form. ------ 9058/323409. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 9059/323427. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 9060/323436. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 9061/323463. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))(^a.a))) 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. ------ 9062/323499. ------ 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)))) REDUCED to normal form. ------ 9063/323526. ------ 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. ------ 9064/323553. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b a)) 3. ==[ beta ]==> ((a ((^y.y) a))(b a)) 4. ==[ alpha ]==> ((a ((^x.x) a))(b a)) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 9065/323580. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(a b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a b)) REDUCED to normal form. ------ 9066/323607. ------ 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. ------ 9067/323631. ------ 1. ==[ start ]==> ((^a.((a a) a)) b) 2. ==[ alpha ]==> ((^x.((x x) x)) b) 3. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 9068/323634. ------ 1. ==[ start ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 9069/323646. ------ 1. ==[ start ]==> ((^a.a)(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 3. ==[ beta ]==> (^y.(^z.a)) 4. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 9070/323655. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z) z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9071/325023. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.z))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9072/325026. ------ 1. ==[ start ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 9073/325044. ------ 1. ==[ start ]==> ((a a)(^b.(^c.a))) 2. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 9074/325050. ------ 1. ==[ start ]==> ((^a.(^a.a))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(a ((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9075/325053. ------ 1. ==[ start ]==> ((a (^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 9076/325131. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9077/325176. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 9078/325293. ------ 1. ==[ start ]==> ((^a.(^b.a))(c d)) 2. ==[ alpha ]==> ((^x.(^y.x))(c d)) 3. ==[ beta ]==> (^y.(c d)) 4. ==[ alpha ]==> (^x.(c d)) REDUCED to normal form. ------ 9079/325332. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(^b.(^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. ------ 9080/325341. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 9081/325365. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.y1))) 3. ==[ eta ]==> ((^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. ------ 9082/325485. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9083/325536. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 9084/325611. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.(^b.(^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. ------ 9085/325635. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.(y y))(a a))((^z.(z z))(a a)))) 5. ==[ beta ]==> (((a a)(a a))(((^y.(y y))(a a))((^z.(z z))(a a)))) 6. ==[ alpha ]==> (((a a)(a a))(((^x.(x x))(a a))((^y.(y y))(a a)))) 7. ==[ beta ]==> (((a a)(a a))(((a a)(a a))((^y.(y y))(a a)))) 8. ==[ alpha ]==> (((a a)(a a))(((a a)(a a))((^x.(x x))(a a)))) 9. ==[ beta ]==> (((a a)(a a))(((a a)(a a))((a a)(a a)))) REDUCED to normal form. ------ 9086/325710. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 9087/325836. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 9088/325860. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9089/325935. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 9090/325986. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 9091/326088. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.c)) 2. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 9092/326169. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.c)) REDUCED to normal form. ------ 9093/326286. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 9094/326340. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 9095/326367. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 9096/326394. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 9097/326418. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (^y.y))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (^y.y))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 9098/326421. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 9099/326451. ------ 1. ==[ start ]==> ((a (^a.a))(a ((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))(a ((a a) a))) REDUCED to normal form. ------ 9100/326478. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^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. ------ 9101/326487. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 9102/326505. ------ 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. ------ 9103/326532. ------ 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. ------ 9104/326577. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 9105/326586. ------ 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 ]==> ((^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. ------ 9106/326622. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^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. ------ 9107/326649. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 9108/326676. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^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. ------ 9109/326694. ------ 1. ==[ start ]==> ((a (^b.a))(c d)) 2. ==[ alpha ]==> ((a (^x.a))(c d)) REDUCED to normal form. ------ 9110/326712. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 9111/326730. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a 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. ------ 9112/326739. ------ 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))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 9113/326766. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 9114/326811. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a) c)) 3. ==[ beta ]==> (((a (^x.x)) b)(a c)) REDUCED to normal form. ------ 9115/326856. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (a (a a)))) 3. ==[ beta ]==> (((^y.y) a)(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)(b (a (a a)))) 5. ==[ beta ]==> (a (b (a (a a)))) REDUCED to normal form. ------ 9116/326883. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a ((^a.a)(^a.a)))) 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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 9117/326892. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 9118/326919. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z)) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z)) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) b)) 5. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 9119/326937. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (a (^y.y)))) REDUCED to normal form. ------ 9120/326982. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 9121/327009. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(a (^b.(^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. ------ 9122/327027. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(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. ------ 9123/327036. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(a a))) 3. ==[ beta ]==> ((a (a (a a)))((a a)(a a))) REDUCED to normal form. ------ 9124/327072. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c c)) 3. ==[ beta ]==> ((^y.y)(c c)) 4. ==[ alpha ]==> ((^x.x)(c c)) 5. ==[ beta ]==> (c c) REDUCED to normal form. ------ 9125/327108. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)(^y.(y y)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 9126/327135. ------ 1. ==[ start ]==> (((a (a a)) a)((a (a a)) a)) REDUCED to normal form. ------ 9127/327162. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a b)) REDUCED to normal form. ------ 9128/327189. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z)) c)) REDUCED to normal form. ------ 9129/327234. ------ 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)))) REDUCED to normal form. ------ 9130/327243. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y)) a)) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 9131/327261. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 9132/327306. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(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. ------ 9133/327333. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> ((a (a (^y.y)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 9134/327351. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) 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. ------ 9135/327360. ------ 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. ------ 9136/327387. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 9137/327396. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 9138/327477. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(b (a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 9139/327486. ------ 1. ==[ start ]==> (((a (a a)) b)((a a) c)) REDUCED to normal form. ------ 9140/327513. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 9141/327531. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a a))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 7. ==[ beta ]==> ((a (^y.y))(a a)) 8. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 9142/327540. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 9143/327558. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 9144/327594. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 9145/327612. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b b)) REDUCED to normal form. ------ 9146/327621. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 9147/327648. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a)) 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) REDUCED to normal form. ------ 9148/327684. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 9149/327711. ------ 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. ------ 9150/327738. ------ 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. ------ 9151/327765. ------ 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. ------ 9152/327792. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 9153/327819. ------ 1. ==[ start ]==> ((a ((a a) a))(a (^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))(a (^x.x))) REDUCED to normal form. ------ 9154/327849. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9155/329217. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.a)) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.a)) 3. ==[ beta ]==> (((^y.a)(^y.a))(^y.a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.a)) 5. ==[ beta ]==> (a (^z.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 9156/329256. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 9157/329265. ------ 1. ==[ start ]==> (((^a.a) a)(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)(^y.((y y) y))) 3. ==[ beta ]==> (a (^y.((y y) y))) 4. ==[ alpha ]==> (a (^x.((x x) x))) REDUCED to normal form. ------ 9158/329298. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 9159/329400. ------ 1. ==[ start ]==> (((a a) b)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(^x.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 9160/329496. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (^x.((^y.a)((^z.z) a))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 9161/329568. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1)) a)) 3. ==[ eta ]==> ((^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. ------ 9162/329688. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 9163/329697. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 9164/329838. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a (a a))(^y.y))((a (a a))(^z.z)))) REDUCED to normal form. ------ 9165/329931. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 7. ==[ beta ]==> (^y.(a (a a))) 8. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 9166/330039. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 9167/330048. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 9168/330189. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9169/330228. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 9170/330318. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x)(^y.y)) 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. ------ 9171/330543. ------ 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. ------ 9172/330621. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a) a)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^y.y) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z) a)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 9173/330624. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.a)) 2. ==[ alpha ]==> ((a ((a a) a))(^x.a)) REDUCED to normal form. ------ 9174/330672. ------ 1. ==[ start ]==> (((^a.a) a)(a ((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)(a ((a a) a))) 3. ==[ beta ]==> (a (a ((a a) a))) REDUCED to normal form. ------ 9175/330699. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^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. ------ 9176/330708. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a b)((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 9177/330726. ------ 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. ------ 9178/330753. ------ 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 (a ((^y.y) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 9179/330780. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((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. ------ 9180/330798. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9181/330807. ------ 1. ==[ start ]==> (((a a) b)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.y))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.x))) REDUCED to normal form. ------ 9182/330852. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^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. ------ 9183/330879. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 7. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 9184/330906. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 9185/330924. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 9186/330951. ------ 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. ------ 9187/330978. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 9188/330987. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 9189/331014. ------ 1. ==[ start ]==> (((^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.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. ------ 9190/331068. ------ 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)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 9191/331077. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (a (a a)))) REDUCED to normal form. ------ 9192/331095. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9193/331104. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1)(^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. ------ 9194/331131. ------ 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. ------ 9195/331167. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a) c)) 3. ==[ beta ]==> (((a a) a)((^y.a) c)) 4. ==[ alpha ]==> (((a a) a)((^x.a) c)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 9196/331248. ------ 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. ------ 9197/331257. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(a a))) 5. ==[ beta ]==> (((^y.(y y))(a a))((^y.(y y))(a a))) 6. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))(a a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a a))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 9198/331284. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.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 REDUCED to normal form. ------ 9199/331338. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(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. ------ 9200/331365. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^y.y))) 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. ------ 9201/331392. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 9202/331401. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (a (^z.z)))) REDUCED to normal form. ------ 9203/331428. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 9204/331446. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(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. ------ 9205/331455. ------ 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. ------ 9206/331491. ------ 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. ------ 9207/331572. ------ 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. ------ 9208/331599. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 9209/331608. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9210/331635. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 9211/331689. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.a))(^a.(^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. ------ 9212/331698. ------ 1. ==[ start ]==> (((a (a a)) b)(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(b (a (^x.x)))) REDUCED to normal form. ------ 9213/331725. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(a ((^z.z) a))) 3. ==[ beta ]==> (((^y.y) a)(a ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) a)(a ((^y.y) a))) 5. ==[ beta ]==> (a (a ((^y.y) a))) 6. ==[ alpha ]==> (a (a ((^x.x) a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 9214/331752. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 9215/331770. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 9216/331779. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 9217/331806. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c a)) 3. ==[ beta ]==> ((a (^y.a))(c a)) 4. ==[ alpha ]==> ((a (^x.a))(c a)) REDUCED to normal form. ------ 9218/331824. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 9219/331833. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 9220/331896. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a) b)) 3. ==[ beta ]==> (((a a)(^y.y))((a a) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((a a) b)) REDUCED to normal form. ------ 9221/331923. ------ 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 (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 9222/331950. ------ 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. ------ 9223/331977. ------ 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. ------ 9224/332004. ------ 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. ------ 9225/332031. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a) a)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x) a)) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 9226/332057. ------ 1. ==[ start ]==> (^a.(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (^x.(b (^z.z))) 4. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 9227/332058. ------ 1. ==[ start ]==> (a (b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a (b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (a (b (^y.y))) 4. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 9228/332088. ------ 1. ==[ start ]==> ((^a.(a a))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((y y) y))) 3. ==[ beta ]==> ((^y.((y y) y))(^y.((y y) y))) 4. ==[ alpha ]==> ((^x.((x x) x))(^y.((y y) y))) 5. ==[ beta ]==> (((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y))) 6. ==[ alpha ]==> (((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z))) 7. ==[ beta ]==> ((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z))) 8. ==[ alpha ]==> ((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1))) 9. ==[ beta ]==> (((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1))) 10. ==[ alpha ]==> (((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) UNREDUCED: maximal number of reductions reached. ------ 9229/333438. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(y y))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^y.(y y))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(z z))) 5. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(z z))) 6. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(z z))) IRREDUCIBLE: cycle. ------ 9230/333474. ------ 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))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 9231/333495. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.a))) 3. ==[ beta ]==> (a (^y.(^z.a))) 4. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 9232/333501. ------ 1. ==[ start ]==> ((^a.(a a))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))(a ((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 9233/333504. ------ 1. ==[ start ]==> ((a (a a))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (a a))(^x.((x x) x))) REDUCED to normal form. ------ 9234/333528. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 9235/333609. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^z.z))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 9236/333726. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (^y.(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (^x.(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (^x.(a (^z.a))) 6. ==[ alpha ]==> (^x.(a (^y.a))) REDUCED to normal form. ------ 9237/333927. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 9238/333969. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z)) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 9239/334062. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 9240/334170. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(a (a a)))) REDUCED to normal form. ------ 9241/334278. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 9242/334293. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9243/334386. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 9244/334548. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.a))) 5. ==[ beta ]==> (a (^y.(^z.a))) 6. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 9245/334629. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 9246/334683. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(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))) REDUCED to normal form. ------ 9247/334746. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 9248/334827. ------ 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. ------ 9249/334851. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (a a))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a (a a))) REDUCED to normal form. ------ 9250/334854. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(a a))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(x x))) REDUCED to normal form. ------ 9251/334893. ------ 1. ==[ start ]==> ((a a)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a a)(b (^y.y))) 4. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 9252/334920. ------ 1. ==[ start ]==> ((a (a a))(a ((a a) a))) REDUCED to normal form. ------ 9253/334947. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> ((a b)((^y.y)(a a))) 4. ==[ alpha ]==> ((a b)((^x.x)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 9254/334956. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 9255/335001. ------ 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))(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. ------ 9256/335028. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 9257/335046. ------ 1. ==[ start ]==> (((a a) b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 9258/335091. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(^a.a))(^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 (^x.x))((^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. ------ 9259/335100. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 9260/335118. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 9261/335127. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 9262/335145. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (^x.a))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.a))) REDUCED to normal form. ------ 9263/335181. ------ 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)((^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. ------ 9264/335226. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 9265/335253. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 9266/335262. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 9267/335289. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 9268/335316. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 9269/335343. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(^b.(^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. ------ 9270/335388. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y)) b)) 3. ==[ beta ]==> ((a (^x.(x x)))(b b)) REDUCED to normal form. ------ 9271/335406. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(a (^z.z)))) 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. ------ 9272/335433. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 9273/335460. ------ 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. ------ 9274/335478. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 9275/335496. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(^z.z))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.y))) 5. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))(^y.y))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 9276/335523. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 9277/335559. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 9278/335577. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(^z.(z z)))) 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. ------ 9279/335586. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a)(a (a a))) REDUCED to normal form. ------ 9280/335604. ------ 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. ------ 9281/335613. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 9282/335631. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 5. ==[ beta ]==> (((^y.y) a) b) 6. ==[ alpha ]==> (((^x.x) a) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 9283/335640. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(^a.(^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. ------ 9284/335667. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 9285/335694. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.(z z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y y))) REDUCED to normal form. ------ 9286/335712. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 9287/335730. ------ 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. ------ 9288/335757. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 9289/335784. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (a (^x.x)))((a a) a)) REDUCED to normal form. ------ 9290/335802. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 9291/335847. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9292/335874. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 9293/335928. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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) REDUCED to normal form. ------ 9294/335937. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 9295/335964. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)(^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. ------ 9296/335982. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) a)) 5. ==[ beta ]==> ((^y.y)((^z.a) a)) 6. ==[ alpha ]==> ((^x.x)((^y.a) a)) 7. ==[ beta ]==> ((^y.a) a) 8. ==[ alpha ]==> ((^x.a) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 9297/335991. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 9298/336009. ------ 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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9299/336018. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 9300/336045. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (^z.a))) 3. ==[ beta ]==> ((a (^y.a))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.a))) REDUCED to normal form. ------ 9301/336063. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))(^a.a))) 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. ------ 9302/336072. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 9303/336099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 9304/336135. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (a a))) 3. ==[ beta ]==> (((a a)(^y.y))(b (a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (a a))) REDUCED to normal form. ------ 9305/336162. ------ 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. ------ 9306/336189. ------ 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. ------ 9307/336216. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(b a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b a)) REDUCED to normal form. ------ 9308/336243. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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. ------ 9309/336270. ------ 1. ==[ start ]==> ((a ((a a) a))(a (a a))) REDUCED to normal form. ------ 9310/336305. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9311/336306. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 9312/336336. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.a))) 3. ==[ beta ]==> ((^y.(^z.a))(^y.(^z.a))) 4. ==[ alpha ]==> ((^x.(^y.a))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 9313/336633. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9314/336903. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^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))))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9315/337128. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9316/337686. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.z))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9317/337725. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a))) a) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 9318/337731. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9319/337740. ------ 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. ------ 9320/337761. ------ 1. ==[ start ]==> ((a (a a))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.a))) REDUCED to normal form. ------ 9321/337770. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z) z))) 3. ==[ beta ]==> ((^y.y)(^z.((z z) z))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 9322/337821. ------ 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. ------ 9323/338055. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9324/338058. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(^x.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 9325/338226. ------ 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. ------ 9326/338325. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((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))))) REDUCED to normal form. ------ 9327/338328. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 9328/338550. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9329/338553. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 9330/338652. ------ 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. ------ 9331/338676. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 9332/338823. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.x)((^y.y)(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9333/338886. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.c)) 3. ==[ beta ]==> ((a (^y.a))(^z.c)) 4. ==[ alpha ]==> ((a (^x.a))(^y.c)) REDUCED to normal form. ------ 9334/339003. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 9335/339057. ------ 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. ------ 9336/339084. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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. ------ 9337/339108. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.z1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9338/339111. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 9339/339147. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.y1)) 3. ==[ beta ]==> ((^y.y)(^y1.y1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9340/339159. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 9341/339168. ------ 1. ==[ start ]==> ((a (^a.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 9342/339195. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a ((a a) a))) 3. ==[ beta ]==> ((^y.y)(a ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 9343/339222. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^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)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 9344/339231. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 9345/339249. ------ 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. ------ 9346/339258. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.x) 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. ------ 9347/339303. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^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. ------ 9348/339330. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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. ------ 9349/339366. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 9350/339393. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 9351/339429. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 9352/339447. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 9353/339456. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(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. ------ 9354/339483. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)((^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. ------ 9355/339528. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a)) b)) REDUCED to normal form. ------ 9356/339600. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 9357/339636. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^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))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 9358/339654. ------ 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. ------ 9359/339726. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b (^y.(y y)))) 3. ==[ beta ]==> ((a (a a))(b (^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(x x)))) REDUCED to normal form. ------ 9360/339753. ------ 1. ==[ start ]==> ((a (a (a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 9361/339825. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))(^b.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))) REDUCED to normal form. ------ 9362/339852. ------ 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. ------ 9363/339879. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a)) a)) REDUCED to normal form. ------ 9364/339906. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a b)) REDUCED to normal form. ------ 9365/339951. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 9366/339978. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 9367/340050. ------ 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))) REDUCED to normal form. ------ 9368/340077. ------ 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. ------ 9369/340104. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 9370/340113. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c b)) 3. ==[ beta ]==> ((^y.(^z.z))(c b)) 4. ==[ alpha ]==> ((^x.(^y.y))(c b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9371/340140. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 9372/340203. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x)) b)) REDUCED to normal form. ------ 9373/340248. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a ((^a.a) 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. ------ 9374/340257. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 9375/340275. ------ 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 (^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. ------ 9376/340284. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1)) 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. ------ 9377/340311. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z) c)) 3. ==[ beta ]==> ((a (^y.a))((^z.z) c)) 4. ==[ alpha ]==> ((a (^x.a))((^y.y) c)) 5. ==[ beta ]==> ((a (^x.a)) c) REDUCED to normal form. ------ 9378/340338. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 9379/340365. ------ 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. ------ 9380/340401. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))(^a.a))) 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. ------ 9381/340428. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 9382/340455. ------ 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))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 9383/340482. ------ 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. ------ 9384/340509. ------ 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))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 9385/340536. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)(^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. ------ 9386/340572. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 9387/341403. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9388/342000. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a))) b) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 9389/342024. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^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. ------ 9390/342054. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 9391/342063. ------ 1. ==[ start ]==> (((a a) a)(^a.((a a) a))) 2. ==[ alpha ]==> (((a a) a)(^x.((x x) x))) REDUCED to normal form. ------ 9392/342069. ------ 1. ==[ start ]==> ((^a.b)((^c.a) a)) 2. ==[ alpha ]==> ((^x.b)((^y.a) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 9393/342267. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (^x.((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> (^x.((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 9394/342339. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(^z.(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 9395/342351. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 9396/342495. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^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))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 9397/342621. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.(^b.(^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. ------ 9398/342729. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(a (a a)))) 3. ==[ beta ]==> ((a (a a))(^y.(a (a a)))) 4. ==[ alpha ]==> ((a (a a))(^x.(a (a a)))) REDUCED to normal form. ------ 9399/342834. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9400/342837. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 9401/342927. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 9402/342960. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) 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. ------ 9403/343107. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 7. ==[ beta ]==> (^y.(^z.a)) 8. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 9404/343116. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 9405/343170. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 9406/343188. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 9407/343341. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 9408/343392. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a) a)) 2. ==[ alpha ]==> ((^x.((x x) x))((a a) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a) a)) REDUCED to normal form. ------ 9409/343431. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9410/343461. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^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. ------ 9411/343470. ------ 1. ==[ start ]==> (((^a.a) a)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (a (b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (a (b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 9412/343497. ------ 1. ==[ start ]==> (((a a) a)(a ((a a) a))) REDUCED to normal form. ------ 9413/343506. ------ 1. ==[ start ]==> ((a b)((^c.a) a)) 2. ==[ alpha ]==> ((a b)((^x.a) a)) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 9414/343524. ------ 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))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 9415/343551. ------ 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. ------ 9416/343578. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^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. ------ 9417/343605. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 9418/343623. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(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. ------ 9419/343632. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 9420/343677. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 9421/343704. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.a))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 9422/343722. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 9423/343740. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c d)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c d)) 3. ==[ beta ]==> ((^y.y)(c d)) 4. ==[ alpha ]==> ((^x.x)(c d)) 5. ==[ beta ]==> (c d) REDUCED to normal form. ------ 9424/343749. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 9425/343776. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 9426/343785. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 9427/343812. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9428/343866. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.a))) 5. ==[ beta ]==> (a ((^y.a)(^z.a))) 6. ==[ alpha ]==> (a ((^x.a)(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 9429/343875. ------ 1. ==[ start ]==> (((a a)(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(c ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.a))(c a)) REDUCED to normal form. ------ 9430/343893. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9431/343902. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (a (a a)))) REDUCED to normal form. ------ 9432/343929. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(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)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 9433/343965. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a) a)((^y.(y y)) b)) 4. ==[ alpha ]==> (((a a) a)((^x.(x x)) b)) 5. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 9434/343992. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 9435/344037. ------ 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. ------ 9436/344055. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a (^b.(^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. ------ 9437/344082. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 9438/344118. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c c)) 2. ==[ alpha ]==> ((((^x.x) a) b)(c c)) 3. ==[ beta ]==> ((a b)(c c)) REDUCED to normal form. ------ 9439/344136. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) 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. ------ 9440/344163. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 9441/344190. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 9442/344244. ------ 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 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. ------ 9443/344253. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(b a)) REDUCED to normal form. ------ 9444/344271. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 9445/344289. ------ 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. ------ 9446/344316. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a) b)) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 9447/344361. ------ 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 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. ------ 9448/344397. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) 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. ------ 9449/344406. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.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. ------ 9450/344433. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 9451/344487. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.z1))) 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. ------ 9452/344496. ------ 1. ==[ start ]==> (((a (a a)) b)(c (a a))) REDUCED to normal form. ------ 9453/344523. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)(b (a (^y.y)))) 5. ==[ beta ]==> (a (b (a (^y.y)))) 6. ==[ alpha ]==> (a (b (a (^x.x)))) REDUCED to normal form. ------ 9454/344541. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 9455/344550. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 9456/344577. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 9457/344604. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 9458/344622. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a (^z.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.a))) REDUCED to normal form. ------ 9459/344658. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 9460/344694. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 9461/344721. ------ 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. ------ 9462/344748. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) 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. ------ 9463/344775. ------ 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. ------ 9464/344802. ------ 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 ]==> (((^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. ------ 9465/344829. ------ 1. ==[ start ]==> ((a ((a a) a))((a a) a)) REDUCED to normal form. ------ 9466/344865. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.y1))) 3. ==[ beta ]==> ((^y.y)(a (^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 9467/344940. ------ 1. ==[ start ]==> ((^a.b)(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.b)(^y.((y y) y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 9468/345705. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.d)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9469/346263. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.b)) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.b)) 3. ==[ beta ]==> (((^y.b)(^y.b))(^y.b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.b)) 5. ==[ beta ]==> (b (^z.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 9470/346302. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a))) c) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) c) 3. ==[ beta ]==> ((^y.y) c) 4. ==[ alpha ]==> ((^x.x) c) 5. ==[ beta ]==> c REDUCED to normal form. ------ 9471/346353. ------ 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)))) 5. ==[ beta ]==> ((b (^y.y))(b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((b (^x.x))(b ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b (^x.x))(b (^z.z))) 8. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 9472/346374. ------ 1. ==[ start ]==> (((a a) a)(^b.(^c.a))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.a))) REDUCED to normal form. ------ 9473/346380. ------ 1. ==[ start ]==> ((^a.b)(a ((a a) a))) 2. ==[ alpha ]==> ((^x.b)(a ((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 9474/346383. ------ 1. ==[ start ]==> ((a b)(^a.((a a) a))) 2. ==[ alpha ]==> ((a b)(^x.((x x) x))) REDUCED to normal form. ------ 9475/346416. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9476/346461. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((((^z.z) a)((^x1.x1) a))(^y.y)) 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. ------ 9477/346578. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 9478/346662. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(^b.(^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. ------ 9479/346806. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.(^b.(^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. ------ 9480/346821. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 9481/346920. ------ 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. ------ 9482/347049. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(a (a a)))) REDUCED to normal form. ------ 9483/347148. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.d)) REDUCED to normal form. ------ 9484/347166. ------ 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. ------ 9485/347427. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 9486/347499. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.c)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.c)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.c)) REDUCED to normal form. ------ 9487/347508. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 9488/347625. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) 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)))) 5. ==[ beta ]==> ((a a)(^y.(y (^z.z)))) 6. ==[ alpha ]==> ((a a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 9489/347703. ------ 1. ==[ start ]==> ((^a.((a a) a))(a b)) 2. ==[ alpha ]==> ((^x.((x x) x))(a b)) 3. ==[ beta ]==> (((a b)(a b))(a b)) REDUCED to normal form. ------ 9490/347706. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.b)) 2. ==[ alpha ]==> ((a ((a a) a))(^x.b)) REDUCED to normal form. ------ 9491/347742. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.a)) 3. ==[ beta ]==> ((^y.y)(^y1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 9492/347790. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 9493/347799. ------ 1. ==[ start ]==> ((a (a a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (a a))(b (^y.y))) 4. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 9494/347826. ------ 1. ==[ start ]==> ((a b)(a ((a a) a))) REDUCED to normal form. ------ 9495/347862. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 9496/347880. ------ 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. ------ 9497/347907. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.x)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.y) a))) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 9498/347925. ------ 1. ==[ start ]==> (((a a) b)(c (^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)(c (^x.(x x)))) REDUCED to normal form. ------ 9499/347952. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.(^z.z)))) REDUCED to normal form. ------ 9500/347997. ------ 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)(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9501/348006. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 9502/348024. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 9503/348060. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 9504/348105. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 9505/348132. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1)) 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. ------ 9506/348141. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 9507/348168. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 9508/348195. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 9509/348222. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^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. ------ 9510/348249. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)(^b.(^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. ------ 9511/348267. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 9512/348285. ------ 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. ------ 9513/348312. ------ 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 (^y.y)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 9514/348339. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((a (^x.x)) a)) REDUCED to normal form. ------ 9515/348357. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (^y.(y y)))) 3. ==[ beta ]==> ((a a)(b (^y.(y y)))) 4. ==[ alpha ]==> ((a a)(b (^x.(x x)))) REDUCED to normal form. ------ 9516/348366. ------ 1. ==[ start ]==> ((a (a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 9517/348402. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 9518/348438. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 9519/348456. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 7. ==[ beta ]==> ((a (^y.y))(^z.a)) 8. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 9520/348465. ------ 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)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 9521/348483. ------ 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. ------ 9522/348492. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 9523/348510. ------ 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)((a (a a)) a)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 9524/348519. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 9525/348546. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 9526/348573. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 9527/348609. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 9528/348636. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(a a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (a a))) REDUCED to normal form. ------ 9529/348663. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 9530/348681. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b (^y.a))) 3. ==[ beta ]==> ((b b)(b (^y.a))) 4. ==[ alpha ]==> ((b b)(b (^x.a))) REDUCED to normal form. ------ 9531/348690. ------ 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. ------ 9532/348726. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) 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. ------ 9533/348753. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 9534/348807. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a) a)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) 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. ------ 9535/348816. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 9536/348843. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.a))(^a.(^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. ------ 9537/348870. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 9538/348888. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a) a)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 9539/348924. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 9540/348951. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 9541/348978. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((^y.(^z.z))(a a)) 8. ==[ alpha ]==> ((^x.(^y.y))(a a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9542/349041. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (a a))) REDUCED to normal form. ------ 9543/349068. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) a))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a (a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (a (^y.y)))) 6. ==[ alpha ]==> ((a a)(a (a (^x.x)))) REDUCED to normal form. ------ 9544/349095. ------ 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. ------ 9545/349122. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b a)) 3. ==[ beta ]==> (((^y.y)(a a))(b a)) 4. ==[ alpha ]==> (((^x.x)(a a))(b a)) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 9546/349149. ------ 1. ==[ start ]==> ((a ((a a) a))(a b)) REDUCED to normal form. ------ 9547/349185. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1) a)) 3. ==[ beta ]==> ((^y.y)((^y1.y1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 9548/349211. ------ 1. ==[ start ]==> (^a.((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (^x.((^y.x)(^z.(z z)))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 9549/349212. ------ 1. ==[ start ]==> (a ((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (a ((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 9550/349269. ------ 1. ==[ start ]==> ((^a.b)(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 9551/349710. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 9552/350160. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9553/350592. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^y.(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(a a))) 5. ==[ beta ]==> ((a a)(^z.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 9554/350664. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.a)(^z.(z z))) 4. ==[ alpha ]==> ((^x.a)(^y.(y y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 9555/350691. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^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)))) 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. ------ 9556/350718. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(^c.a))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 9557/350721. ------ 1. ==[ start ]==> ((a b)(^b.(^c.a))) 2. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 9558/350730. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.((y y) y))) 3. ==[ beta ]==> ((a a)(^y.((y y) y))) 4. ==[ alpha ]==> ((a a)(^x.((x x) x))) REDUCED to normal form. ------ 9559/350754. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9560/350988. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(a (a a)))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9561/351159. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a ((^a.a)(^a.a)))) 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. ------ 9562/351162. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 9563/351258. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (^y.(y y)))) 3. ==[ beta ]==> ((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))))) REDUCED to normal form. ------ 9564/351483. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 9565/351504. ------ 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. ------ 9566/351609. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(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. ------ 9567/351612. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 9568/351765. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 9569/351783. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.((^a.a) a))) 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. ------ 9570/351846. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 9571/351909. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 9572/351963. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 9573/352017. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 9574/352041. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(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. ------ 9575/352044. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(a a))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(a a))) REDUCED to normal form. ------ 9576/352080. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 y1))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 9577/352119. ------ 1. ==[ start ]==> ((a a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 9578/352146. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 9579/352155. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 9580/352173. ------ 1. ==[ start ]==> ((a b)((^a.a)(^c.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. ------ 9581/352182. ------ 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. ------ 9582/352209. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 9583/352218. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) b)) 3. ==[ beta ]==> (b ((^y.(^z.z)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 9584/352263. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9585/352290. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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. ------ 9586/352317. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 9587/352353. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^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. ------ 9588/352389. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 9589/352407. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 9590/352416. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 9591/352443. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 9592/352488. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a (^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. ------ 9593/352515. ------ 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. ------ 9594/352542. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a) c)) 3. ==[ beta ]==> (((a a)(^x.a))(a c)) REDUCED to normal form. ------ 9595/352614. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 9596/352713. ------ 1. ==[ start ]==> ((a (a (a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(b (^x.(x x)))) REDUCED to normal form. ------ 9597/352722. ------ 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. ------ 9598/352785. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 9599/352812. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 9600/352839. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 9601/352866. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (a a)) a)) REDUCED to normal form. ------ 9602/352893. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 9603/352938. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 9604/352956. ------ 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. ------ 9605/353028. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((b b)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((b b)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 9606/353037. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(b (^x.a))) REDUCED to normal form. ------ 9607/353064. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 9608/353163. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a) a)) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 9609/353190. ------ 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. ------ 9610/353208. ------ 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. ------ 9611/353217. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 9612/353235. ------ 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)(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. ------ 9613/353244. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 9614/353271. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 9615/353289. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 9616/353325. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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)) REDUCED to normal form. ------ 9617/353361. ------ 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)(^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. ------ 9618/353388. ------ 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 (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 9619/353415. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 9620/353442. ------ 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. ------ 9621/353469. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(a (^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 9622/353496. ------ 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. ------ 9623/353532. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (a a))) 3. ==[ beta ]==> ((^y.y)(a (a a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 9624/354066. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 9625/355038. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.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. ------ 9626/355095. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.a))) 3. ==[ beta ]==> ((a a)(^y.(^z.a))) 4. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 9627/355104. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 9628/355281. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(a a))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9629/355353. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ eta ]==> ((^y.y)((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 9630/355392. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9631/355524. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(^b.(^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. ------ 9632/355527. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 9633/355662. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 9634/355770. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 9635/355848. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9636/355986. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9637/356067. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 7. ==[ beta ]==> (^y.((^z.z) a)) 8. ==[ alpha ]==> (^x.((^y.y) a)) 9. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 9638/356148. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 9639/356157. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 9640/356382. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.z)) 3. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 9641/356406. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)(^y.y))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 9642/356445. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9643/356502. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 9644/356529. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9645/356538. ------ 1. ==[ start ]==> (((a a) a)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a) a)(b (^y.y))) 4. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 9646/356565. ------ 1. ==[ start ]==> (((a a)(^a.a))(a ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 9647/356592. ------ 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 ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 9648/356601. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 9649/356619. ------ 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. ------ 9650/356646. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> (((a a) b)(a ((^y.y) a))) 4. ==[ alpha ]==> (((a a) b)(a ((^x.x) a))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 9651/356673. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 9652/356691. ------ 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)))) REDUCED to normal form. ------ 9653/356700. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 9654/356745. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 9655/356763. ------ 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. ------ 9656/356790. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.a))) REDUCED to normal form. ------ 9657/356817. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 9658/356826. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 9659/356853. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1)(^x2.x2)))) 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. ------ 9660/356907. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 9661/356934. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 9662/356970. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(b (a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b (a (a a)))) REDUCED to normal form. ------ 9663/356988. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(^b.(^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. ------ 9664/357006. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 9665/357033. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b b)) REDUCED to normal form. ------ 9666/357060. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a) c)) 3. ==[ beta ]==> ((a (a a))((^y.a) c)) 4. ==[ alpha ]==> ((a (a a))((^x.a) c)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 9667/357078. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a a)((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 9668/357096. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.(z z)))) 3. ==[ beta ]==> ((^y.(y y))(b (^z.(z z)))) 4. ==[ alpha ]==> ((^x.(x x))(b (^y.(y y)))) 5. ==[ beta ]==> ((b (^y.(y y)))(b (^y.(y y)))) 6. ==[ alpha ]==> ((b (^x.(x x)))(b (^y.(y y)))) REDUCED to normal form. ------ 9669/357123. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 9670/357177. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 7. ==[ beta ]==> ((^y.a)(a (^z.z))) 8. ==[ alpha ]==> ((^x.a)(a (^y.y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 9671/357204. ------ 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))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 9672/357231. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 9673/357285. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 9674/357312. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 9675/357357. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z)) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y)) a)) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 9676/357384. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a) b)) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 9677/357402. ------ 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 b)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 9678/357447. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9679/357474. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 9680/357528. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1) 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. ------ 9681/357582. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))(^a.(^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. ------ 9682/357591. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 9683/357609. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 9684/357618. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 9685/357645. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))(a a))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 9686/357663. ------ 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 (^y.y))(a (^y.y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 9687/357672. ------ 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. ------ 9688/357735. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 9689/357762. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 9690/357789. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a) b)) 3. ==[ beta ]==> ((a ((^y.y) a))((a a) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))((a a) b)) 5. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 9691/357816. ------ 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. ------ 9692/357843. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z) b)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y) b)) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 9693/357870. ------ 1. ==[ start ]==> ((a ((a a) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 9694/357906. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(^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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9695/359475. ------ 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. ------ 9696/359496. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 9697/359556. ------ 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. ------ 9698/359673. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^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 ]==> (^x.((^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. ------ 9699/359793. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 9700/359937. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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)(^x.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 9701/360015. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a (^z.z))((^x1.x1) a))((a (^y1.y1))((^z1.z1) a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(((a (^z.z))((^x1.x1) a))((a (^y1.y1))((^z1.z1) a)))) 6. ==[ alpha ]==> (((a (^x.x)) a)(((a (^y.y))((^z.z) a))((a (^x1.x1))((^y1.y1) a)))) 7. ==[ beta ]==> (((a (^x.x)) a)(((a (^y.y)) a)((a (^x1.x1))((^y1.y1) a)))) 8. ==[ alpha ]==> (((a (^x.x)) a)(((a (^y.y)) a)((a (^z.z))((^x1.x1) a)))) 9. ==[ beta ]==> (((a (^x.x)) a)(((a (^y.y)) a)((a (^z.z)) a))) REDUCED to normal form. ------ 9702/360171. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(a (a a)))) REDUCED to normal form. ------ 9703/360240. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1)) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9704/360288. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(z (z z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(z (z z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y (y y)))) REDUCED to normal form. ------ 9705/360366. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9706/360468. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) b)(^x.a)) REDUCED to normal form. ------ 9707/360549. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.a))) REDUCED to normal form. ------ 9708/360630. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 9709/360747. ------ 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. ------ 9710/360798. ------ 1. ==[ start ]==> ((^a.((a a) a))(b a)) 2. ==[ alpha ]==> ((^x.((x x) x))(b a)) 3. ==[ beta ]==> (((b a)(b a))(b a)) REDUCED to normal form. ------ 9711/360837. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.a)) 3. ==[ beta ]==> ((^y.y)(^y1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 9712/360912. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (a ((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (a ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 9713/360939. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 9714/360948. ------ 1. ==[ start ]==> ((a b)(b ((^a.a)(^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. ------ 9715/361002. ------ 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))((^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. ------ 9716/361029. ------ 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. ------ 9717/361101. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 9718/361146. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 9719/361182. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 9720/361227. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 9721/361254. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 9722/361263. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)((^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. ------ 9723/361290. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 9724/361308. ------ 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. ------ 9725/361317. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 9726/361344. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 9727/361371. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 9728/361407. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a ((^a.a)(^a.a)))) 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. ------ 9729/361434. ------ 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. ------ 9730/361461. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))(a (a (^x.x)))) REDUCED to normal form. ------ 9731/361488. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> ((a (a (a a)))((a (^x.x)) a)) REDUCED to normal form. ------ 9732/361560. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))(a a))) 3. ==[ beta ]==> ((a b)((^y.(y y))(a a))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(a a))) 5. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 9733/361578. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 9734/361587. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 9735/361605. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 9736/361614. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 9737/361632. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((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. ------ 9738/361641. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (a a))) REDUCED to normal form. ------ 9739/361668. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 9740/361686. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a)(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. ------ 9741/361695. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)(^a.(^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. ------ 9742/361713. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z)) c)) REDUCED to normal form. ------ 9743/361731. ------ 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. ------ 9744/361758. ------ 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. ------ 9745/361785. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (a a))) REDUCED to normal form. ------ 9746/361803. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c (^y.(^z.z)))) 3. ==[ beta ]==> ((b b)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 9747/361812. ------ 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. ------ 9748/361839. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 9749/361875. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) 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. ------ 9750/361929. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.a))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.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. ------ 9751/361938. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y) a)) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x) a)) 5. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 9752/361965. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)(^a.a))) 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. ------ 9753/361983. ------ 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) REDUCED to normal form. ------ 9754/361992. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 9755/362019. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.a)) REDUCED to normal form. ------ 9756/362046. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (^a.a))) 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. ------ 9757/362064. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1)) 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. ------ 9758/362073. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 9759/362100. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a (^b.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. ------ 9760/362136. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b b)) 3. ==[ beta ]==> (((a a)(^y.y))(b b)) 4. ==[ alpha ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 9761/362190. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (a a))) 3. ==[ beta ]==> ((a ((^y.y) a))(b (a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b (a a))) 5. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 9762/362217. ------ 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. ------ 9763/362244. ------ 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. ------ 9764/362271. ------ 1. ==[ start ]==> ((a ((a a) a))(b a)) REDUCED to normal form. ------ 9765/362307. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a) a)) 3. ==[ beta ]==> ((^y.y)((a a) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 9766/362360. ------ 1. ==[ start ]==> (^a.((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (^x.((^y.(y y))(^z.x))) 3. ==[ beta ]==> (^x.((^z.x)(^z.x))) 4. ==[ alpha ]==> (^x.((^y.x)(^z.x))) 5. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 9767/362361. ------ 1. ==[ start ]==> (a ((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (a ((^x.(x x))(^y.a))) 3. ==[ beta ]==> (a ((^y.a)(^y.a))) 4. ==[ alpha ]==> (a ((^x.a)(^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 9768/362454. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9769/363741. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^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)))) 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. ------ 9770/363834. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a)) a) 2. ==[ alpha ]==> (((^x.(x x))(^y.a)) a) 3. ==[ beta ]==> (((^y.a)(^y.a)) a) 4. ==[ alpha ]==> (((^x.a)(^y.a)) a) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 9771/363840. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((^y.(y y))(^z.a)) 4. ==[ alpha ]==> ((^x.(x x))(^y.a)) 5. ==[ beta ]==> ((^y.a)(^y.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 9772/363867. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.a)(^z.(z z)))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.a)(^y.(y y)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (a ((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(y y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 9773/363894. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 9774/363930. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9775/363933. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 9776/364164. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)((^x1.x1) a))) 3. ==[ eta ]==> ((^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. ------ 9777/364212. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 9778/364335. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 9779/364356. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 9780/364473. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 9781/364590. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 9782/364659. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (a (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9783/364707. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(z z)))) REDUCED to normal form. ------ 9784/364785. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b (^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. ------ 9785/364797. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 9786/364887. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.a))) REDUCED to normal form. ------ 9787/365049. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.c)) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.c)) 5. ==[ beta ]==> ((^y.y)(^z.c)) 6. ==[ alpha ]==> ((^x.x)(^y.c)) 7. ==[ beta ]==> (^y.c) 8. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 9788/365112. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 9789/365166. ------ 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. ------ 9790/365217. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((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)))) REDUCED to normal form. ------ 9791/365220. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 9792/365256. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.b)) 3. ==[ beta ]==> ((^y.y)(^y1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 9793/365310. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.z)) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.z)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 9794/365322. ------ 1. ==[ start ]==> ((a a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a a)((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((a a)((^y.a)(^y.a))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 9795/365349. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 9796/365376. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 9797/365385. ------ 1. ==[ start ]==> (((^a.a)(a a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 9798/365412. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 9799/365421. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a) a)) 2. ==[ alpha ]==> (((^x.x) b)((^y.a) a)) 3. ==[ beta ]==> (b ((^y.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 9800/365448. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9801/365466. ------ 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. ------ 9802/365475. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a)) c)) 2. ==[ alpha ]==> (((a a) b)((^x.(x x)) c)) 3. ==[ beta ]==> (((a a) b)(c c)) REDUCED to normal form. ------ 9803/365493. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^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. ------ 9804/365520. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 9805/365547. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)((^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. ------ 9806/365592. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 9807/365610. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 9808/365619. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 9809/365646. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 9810/365655. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c d)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c d)) 3. ==[ beta ]==> ((^y.a)(c d)) 4. ==[ alpha ]==> ((^x.a)(c d)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 9811/365691. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 9812/365718. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 9813/365745. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a)) b)) REDUCED to normal form. ------ 9814/365817. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (a (a a)))) REDUCED to normal form. ------ 9815/365835. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(^b.(^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. ------ 9816/365907. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a) c)) 3. ==[ beta ]==> ((a a)((^y.a) c)) 4. ==[ alpha ]==> ((a a)((^x.a) c)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 9817/365925. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a (^y.y))((^z.z) a))((a (^y.y))((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))((^z.z) a))) 9. ==[ beta ]==> (((a (^x.x)) a)((a (^y.y)) a)) REDUCED to normal form. ------ 9818/365952. ------ 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. ------ 9819/365988. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (a a))(^y.y))) 3. ==[ beta ]==> ((a b)((a (a a))(^y.y))) 4. ==[ alpha ]==> ((a b)((a (a a))(^x.x))) REDUCED to normal form. ------ 9820/366015. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 9821/366042. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 9822/366069. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.(z z)))) REDUCED to normal form. ------ 9823/366096. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 9824/366123. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a) b)) 3. ==[ beta ]==> (((a (a a))(^x.x))(a b)) REDUCED to normal form. ------ 9825/366141. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (a (^z.z)))) REDUCED to normal form. ------ 9826/366159. ------ 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. ------ 9827/366186. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(z z))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 9828/366231. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 9829/366267. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (^z.a))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.a))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 9830/366276. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9831/366357. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b c)) 5. ==[ beta ]==> ((^y.y)(b c)) 6. ==[ alpha ]==> ((^x.x)(b c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 9832/366366. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)((a a)(^x.a))) REDUCED to normal form. ------ 9833/366393. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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. ------ 9834/366420. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 9835/366438. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(b (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 9836/366474. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a) a)) 3. ==[ beta ]==> ((a (^y.a))((^z.a) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.a) a)) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 9837/366492. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 9838/366501. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 9839/366564. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 9840/366591. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a (^y.y))) REDUCED to normal form. ------ 9841/366618. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.x1))) 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. ------ 9842/366645. ------ 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. ------ 9843/366672. ------ 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. ------ 9844/366699. ------ 1. ==[ start ]==> ((a ((a a) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 9845/366735. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 9846/366789. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a a)) 3. ==[ beta ]==> (((^y.a)(^y.a))(a a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a a)) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 9847/366891. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9848/367053. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.(^z.(^x1.z))) 4. ==[ alpha ]==> (^x.(^y.(^z.y))) REDUCED to normal form. ------ 9849/368178. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.b)) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.y)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9850/368271. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a)) b) 2. ==[ alpha ]==> (((^x.(x x))(^y.a)) b) 3. ==[ beta ]==> (((^y.a)(^y.a)) b) 4. ==[ alpha ]==> (((^x.a)(^y.a)) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 9851/368295. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9852/368379. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 9853/368388. ------ 1. ==[ start ]==> (((^a.a) b)(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.((y y) y))) 3. ==[ beta ]==> (b (^y.((y y) y))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 9854/368421. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^z.(^x1.x1)) b)(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9855/368538. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (^z.a))) 3. ==[ beta ]==> (^y.(a (^z.a))) 4. ==[ alpha ]==> (^x.(a (^y.a))) REDUCED to normal form. ------ 9856/368541. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 9857/368610. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)(^x1.a))) 3. ==[ eta ]==> ((^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. ------ 9858/368781. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 9859/368880. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a) c)) 3. ==[ beta ]==> (((^y.a) c)(((^y.a) c)((^y.a) c))) 4. ==[ alpha ]==> (((^x.a) c)(((^y.a) c)((^z.a) c))) 5. ==[ beta ]==> (a (((^y.a) c)((^z.a) c))) 6. ==[ alpha ]==> (a (((^x.a) c)((^y.a) c))) 7. ==[ beta ]==> (a (a ((^y.a) c))) 8. ==[ alpha ]==> (a (a ((^x.a) c))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 9860/369105. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9861/369270. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 9862/369441. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.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)) REDUCED to normal form. ------ 9863/369663. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a) 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. ------ 9864/369666. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.b)) 2. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 9865/369702. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a a))) 3. ==[ beta ]==> ((^y.y)(^y1.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 9866/369756. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(^a.a))) 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. ------ 9867/369786. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))(^b.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. ------ 9868/369813. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 9869/369840. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 9870/369849. ------ 1. ==[ start ]==> (((a a)(^a.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 9871/369876. ------ 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. ------ 9872/369903. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 9873/369912. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 9874/369930. ------ 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. ------ 9875/369957. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 9876/369984. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 9877/370002. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 9878/370011. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((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. ------ 9879/370029. ------ 1. ==[ start ]==> ((a (^b.a))(a (^c.a))) 2. ==[ alpha ]==> ((a (^x.a))(a (^y.a))) REDUCED to normal form. ------ 9880/370047. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^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. ------ 9881/370074. ------ 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. ------ 9882/370101. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((a a)(a (^y.a))) 6. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 9883/370110. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.a)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.a)((^y.a)((^z.z) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 9884/370137. ------ 1. ==[ start ]==> (((^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)))) 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. ------ 9885/370191. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 9886/370218. ------ 1. ==[ start ]==> (((^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.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. ------ 9887/370272. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 9888/370317. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 9889/370344. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y)) b)) 3. ==[ beta ]==> ((a (a a))((^y.(y y)) b)) 4. ==[ alpha ]==> ((a (a a))((^x.(x x)) b)) 5. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 9890/370362. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (a (^y.y)))) 6. ==[ alpha ]==> ((a a)(a (a (^x.x)))) REDUCED to normal form. ------ 9891/370371. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a) c)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a) c)) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 9892/370407. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(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. ------ 9893/370461. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 7. ==[ beta ]==> ((^y.(y y))(a a)) 8. ==[ alpha ]==> ((^x.(x x))(a a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 9894/370488. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 9895/370515. ------ 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)((^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. ------ 9896/370569. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.y))) 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. ------ 9897/370596. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 9898/370668. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z)) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y)) a)) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 9899/370686. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 9900/370695. ------ 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. ------ 9901/370731. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9902/370758. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 9903/370812. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9904/370821. ------ 1. ==[ start ]==> (((a (a a)) b)(b c)) REDUCED to normal form. ------ 9905/370866. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.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. ------ 9906/370875. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 9907/370893. ------ 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.(^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. ------ 9908/370902. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (a (^z.z)))) REDUCED to normal form. ------ 9909/370929. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a ((^a.a) 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))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 9910/370956. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 9911/370983. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 9912/371019. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 9913/371046. ------ 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. ------ 9914/371073. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z)) a)) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z)) a)) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y)) a)) 5. ==[ beta ]==> ((a a)((a (^y.y)) a)) 6. ==[ alpha ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 9915/371100. ------ 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. ------ 9916/371127. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 9917/371154. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a) b)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x) b)) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 9918/371190. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 9919/371244. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (^z.z))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (^z.z))) 5. ==[ beta ]==> (a (a (^z.z))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 9920/372735. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a)) c) 2. ==[ alpha ]==> (((^x.(x x))(^y.a)) c) 3. ==[ beta ]==> (((^y.a)(^y.a)) c) 4. ==[ alpha ]==> (((^x.a)(^y.a)) c) 5. ==[ beta ]==> (a c) REDUCED to normal form. ------ 9921/372813. ------ 1. ==[ start ]==> ((^a.b)(c (a (a a)))) 2. ==[ alpha ]==> ((^x.b)(c (a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 9922/372861. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 9923/372870. ------ 1. ==[ start ]==> (((a a)(a a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)(a a))(^x.((x x) x))) REDUCED to normal form. ------ 9924/372894. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))(a a))(^y.y)) 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. ------ 9925/373158. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(^x.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 9926/373302. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 9927/373353. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)(a (^z.z)))((((^y.y) a)(a (^z.z)))(((^y.y) a)(a (^z.z))))) 4. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((((^z.z) a)(a (^x1.x1)))(((^y1.y1) a)(a (^z1.z1))))) 5. ==[ beta ]==> ((a (a (^y.y)))((((^z.z) a)(a (^x1.x1)))(((^y1.y1) a)(a (^z1.z1))))) 6. ==[ alpha ]==> ((a (a (^x.x)))((((^y.y) a)(a (^z.z)))(((^x1.x1) a)(a (^y1.y1))))) 7. ==[ beta ]==> ((a (a (^x.x)))((a (a (^z.z)))(((^x1.x1) a)(a (^y1.y1))))) 8. ==[ alpha ]==> ((a (a (^x.x)))((a (a (^y.y)))(((^z.z) a)(a (^x1.x1))))) 9. ==[ beta ]==> ((a (a (^x.x)))((a (a (^y.y)))(a (a (^x1.x1))))) 10. ==[ alpha ]==> ((a (a (^x.x)))((a (a (^y.y)))(a (a (^z.z))))) REDUCED to normal form. ------ 9928/373428. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 9929/373536. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 9930/373578. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9931/373653. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(z (z z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y (y y)))) REDUCED to normal form. ------ 9932/373704. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9933/373833. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z) a))) 5. ==[ beta ]==> (a (^y.((^z.z) a))) 6. ==[ alpha ]==> (a (^x.((^y.y) a))) 7. ==[ beta ]==> (a (^x.a)) REDUCED to normal form. ------ 9934/373914. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 9935/374112. ------ 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. ------ 9936/374136. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)(a a))) 3. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))((a a)(a a))) REDUCED to normal form. ------ 9937/374175. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9938/374229. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.a)) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.a)) 5. ==[ beta ]==> (a (^z.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 9939/374277. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.a))) 3. ==[ beta ]==> (a ((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (a ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (a ((^y.a)(^y.a))) 6. ==[ alpha ]==> (a ((^x.a)(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 9940/374304. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 9941/374313. ------ 1. ==[ start ]==> ((a b)(c (a (a a)))) REDUCED to normal form. ------ 9942/374331. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 9943/374358. ------ 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))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 9944/374367. ------ 1. ==[ start ]==> (((a a)(a a))(a ((a a) a))) REDUCED to normal form. ------ 9945/374394. ------ 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))) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 9946/374403. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9947/374493. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 9948/374547. ------ 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)((^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. ------ 9949/374592. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 9950/374619. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(z1 z1)))) 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. ------ 9951/374628. ------ 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 (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 9952/374655. ------ 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)((^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. ------ 9953/374673. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(^a.a)) 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 ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 9954/374682. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 9955/374700. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (a a)) b)) 3. ==[ beta ]==> ((^y.y)((a (a a)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 9956/374709. ------ 1. ==[ start ]==> (((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.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 9957/374736. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 9958/374772. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (a (a a)))) 3. ==[ beta ]==> (((a a) a)(b (a (a a)))) REDUCED to normal form. ------ 9959/374799. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z)(^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. ------ 9960/374826. ------ 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. ------ 9961/374853. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> ((a (a (a a)))(a (a (^y.y)))) 4. ==[ alpha ]==> ((a (a (a a)))(a (a (^x.x)))) REDUCED to normal form. ------ 9962/374862. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a) c)) 3. ==[ beta ]==> ((^y.(y y))((^z.a) c)) 4. ==[ alpha ]==> ((^x.(x x))((^y.a) c)) 5. ==[ beta ]==> (((^y.a) c)((^y.a) c)) 6. ==[ alpha ]==> (((^x.a) c)((^y.a) c)) 7. ==[ beta ]==> (a ((^y.a) c)) 8. ==[ alpha ]==> (a ((^x.a) c)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 9963/374925. ------ 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. ------ 9964/374943. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a))(^z.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a))(^z.z))) 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. ------ 9965/374952. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(a a))) 3. ==[ beta ]==> (((a (a a)) a)((a a)(a a))) REDUCED to normal form. ------ 9966/374970. ------ 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. ------ 9967/374979. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 9968/374997. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^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. ------ 9969/375006. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 9970/375033. ------ 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. ------ 9971/375051. ------ 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)) REDUCED to normal form. ------ 9972/375060. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(^z.z))) 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. ------ 9973/375078. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 9974/375123. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(b ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(b a)) REDUCED to normal form. ------ 9975/375150. ------ 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. ------ 9976/375177. ------ 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. ------ 9977/375204. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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)))) REDUCED to normal form. ------ 9978/375213. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9979/375294. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 9980/375303. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 9981/375330. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)((^a.a) 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 ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 9982/375348. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 9983/375357. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 9984/375375. ------ 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) REDUCED to normal form. ------ 9985/375384. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))(^a.(^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. ------ 9986/375411. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.a))(^z.a)) 6. ==[ alpha ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 9987/375429. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 9988/375465. ------ 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 ]==> (((^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. ------ 9989/375528. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b b)) REDUCED to normal form. ------ 9990/375582. ------ 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. ------ 9991/375609. ------ 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 ]==> (((^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. ------ 9992/375636. ------ 1. ==[ start ]==> ((a ((a a) a))((a a)(a a))) REDUCED to normal form. ------ 9993/375672. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 9994/375726. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z) a)) 5. ==[ beta ]==> (a ((^z.z) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 9995/375752. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 9996/375753. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 9997/376008. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (^x.(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^x.(^y.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 9998/377259. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 9999/377286. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((^y.(y y))(^z.a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(^x1.a))) 7. ==[ beta ]==> (a ((^z.(z z))(^x1.a))) 8. ==[ alpha ]==> (a ((^x.(x x))(^y.a))) 9. ==[ beta ]==> (a ((^y.a)(^y.a))) 10. ==[ alpha ]==> (a ((^x.a)(^y.a))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 10000/377313. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 10001/377349. ------ 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. ------ 10002/377370. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 10003/377511. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((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 ]==> (^x.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 10004/377514. ------ 1. ==[ start ]==> ((a (^b.a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 10005/377583. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))(a (^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 10006/377802. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 10007/378153. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 10008/378414. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.z)) 3. ==[ beta ]==> ((a (^y.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 10009/378432. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(x x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.z)) 5. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 10010/378504. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 10011/378558. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(a (^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(a (^z.z)))) 6. ==[ alpha ]==> ((a a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 10012/378612. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 10013/378636. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (^a.a))) 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. ------ 10014/378729. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(z z))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(z z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(z z))) 5. ==[ beta ]==> (a (^z.(z z))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 10015/378768. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 10016/378795. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^y.a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 10017/378822. ------ 1. ==[ start ]==> ((a b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 10018/378858. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 10019/378912. ------ 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 ]==> ((^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. ------ 10020/378921. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 10021/378939. ------ 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. ------ 10022/378966. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 10023/378993. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 10024/379020. ------ 1. ==[ start ]==> ((a (^b.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.a))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 10025/379056. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10026/379065. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 10027/379092. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 10028/379137. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 10029/379164. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a a)(^b.(^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. ------ 10030/379191. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 10031/379218. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a)) b)) REDUCED to normal form. ------ 10032/379281. ------ 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)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 10033/379308. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(^b.(^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. ------ 10034/379353. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y)) b)) 3. ==[ beta ]==> ((a a)((^y.(y y)) b)) 4. ==[ alpha ]==> ((a a)((^x.(x x)) b)) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 10035/379371. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((((^y.y) a)(a (^z.z)))(((^y.y) a)(a (^z.z)))) 6. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) a)(a (^x1.x1)))) 7. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) a)(a (^x1.x1)))) 8. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(a (^z.z)))) 9. ==[ beta ]==> ((a (a (^x.x)))(a (a (^z.z)))) 10. ==[ alpha ]==> ((a (a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 10036/379398. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((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. ------ 10037/379461. ------ 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. ------ 10038/379488. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 10039/379515. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 10040/379542. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 10041/379569. ------ 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. ------ 10042/379605. ------ 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. ------ 10043/379632. ------ 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 (^x.x)) a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 10044/379659. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(z z))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 10045/379677. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 10046/379722. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10047/379749. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 10048/379812. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 10049/379839. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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. ------ 10050/379866. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 10051/379893. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z)) b)) REDUCED to normal form. ------ 10052/379920. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a) c)) 3. ==[ beta ]==> ((a (^y.a))((a a) c)) 4. ==[ alpha ]==> ((a (^x.a))((a a) c)) REDUCED to normal form. ------ 10053/379938. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 10054/379947. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 10055/379974. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 7. ==[ beta ]==> ((^y.(^z.z)) b) 8. ==[ alpha ]==> ((^x.(^y.y)) b) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10056/380010. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 10057/380037. ------ 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 (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 10058/380064. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)(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. ------ 10059/380091. ------ 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. ------ 10060/380118. ------ 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)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 10061/380145. ------ 1. ==[ start ]==> ((a ((a a) a))(b (^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))(b (^x.x))) REDUCED to normal form. ------ 10062/380181. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 10063/380235. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (a a))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 10064/380270. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (^x.((^z.z) b)) 4. ==[ alpha ]==> (^x.((^y.y) b)) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 10065/380271. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (a (((^x.x)(^y.y)) b)) 3. ==[ beta ]==> (a ((^y.y) b)) 4. ==[ alpha ]==> (a ((^x.x) b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 10066/381780. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b) a) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b) a) 3. ==[ beta ]==> (((^y.y) b) a) 4. ==[ alpha ]==> (((^x.x) b) a) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 10067/381786. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z)) b) 4. ==[ alpha ]==> (((^x.x)(^y.y)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 10068/381795. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10069/381876. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10070/381915. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.((z z) z))) 3. ==[ beta ]==> ((^y.y)(^z.((z z) z))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 10071/382038. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(b (^y.(^z.z)))) REDUCED to normal form. ------ 10072/382110. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))(^z.(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 10073/382203. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a (^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (^x.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 10074/382281. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 10075/382380. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y)) b)) 3. ==[ beta ]==> (((^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))) 5. ==[ beta ]==> ((b b)(((^y.(y y)) b)((^z.(z z)) b))) 6. ==[ alpha ]==> ((b b)(((^x.(x x)) b)((^y.(y y)) b))) 7. ==[ beta ]==> ((b b)((b b)((^y.(y y)) b))) 8. ==[ alpha ]==> ((b b)((b b)((^x.(x x)) b))) 9. ==[ beta ]==> ((b b)((b b)(b b))) REDUCED to normal form. ------ 10076/382455. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(a (a a)))) 3. ==[ beta ]==> ((a b)(^y.(a (a a)))) 4. ==[ alpha ]==> ((a b)(^x.(a (a a)))) REDUCED to normal form. ------ 10077/382473. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(^y1.y1)))) 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. ------ 10078/382581. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(a (a a)))) REDUCED to normal form. ------ 10079/382605. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10080/382698. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 10081/382731. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10082/382878. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 7. ==[ beta ]==> (^y.((^z.z) a)) 8. ==[ alpha ]==> (^x.((^y.y) a)) 9. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 10083/382959. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 10084/382968. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 10085/383031. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.c)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.c)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.c)) REDUCED to normal form. ------ 10086/383163. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((^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)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) a))((^y1.(^z1.z1)) a)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.(^y1.y1)) a)) 7. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.(^y1.y1)) a)) 8. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) a)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 11. ==[ beta ]==> ((^y.(^z.z)) a) 12. ==[ alpha ]==> ((^x.(^y.y)) a) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10087/383202. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 10088/383256. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(^a.a))) 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. ------ 10089/383292. ------ 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. ------ 10090/383304. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a a)(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> ((a a)((^y.y) b)) 4. ==[ alpha ]==> ((a a)((^x.x) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 10091/383313. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 10092/383340. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 10093/383367. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 10094/383394. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^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. ------ 10095/383403. ------ 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)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 10096/383430. ------ 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 ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 10097/383457. ------ 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)((^y.y)(a a))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(a a))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 10098/383484. ------ 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. ------ 10099/383511. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 10100/383538. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 10101/383556. ------ 1. ==[ start ]==> ((a (^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 10102/383601. ------ 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))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 10103/383628. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 10104/383637. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 10105/383664. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1) 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. ------ 10106/383673. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c d)) 2. ==[ alpha ]==> (((a (^x.x)) b)(c d)) REDUCED to normal form. ------ 10107/383718. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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 ((^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. ------ 10108/383745. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10109/383799. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 10110/383871. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 10111/383889. ------ 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. ------ 10112/383898. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x)) b)) 3. ==[ beta ]==> ((a (a (a a)))(b b)) REDUCED to normal form. ------ 10113/383934. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c (^x1.a))) 3. ==[ beta ]==> ((^y.y)(c (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 10114/383970. ------ 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. ------ 10115/383988. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (^z.(^x1.x1)))) 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. ------ 10116/384015. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(a a))) 5. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 10117/384042. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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 REDUCED to normal form. ------ 10118/384051. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c c)) REDUCED to normal form. ------ 10119/384096. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a a)(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. ------ 10120/384123. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^x1.x1))) 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. ------ 10121/384141. ------ 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. ------ 10122/384213. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a (a (a a)))) 3. ==[ beta ]==> ((b b)(a (a (a a)))) REDUCED to normal form. ------ 10123/384222. ------ 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. ------ 10124/384249. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.a) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.a) b)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 10125/384258. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10126/384285. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 10127/384339. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 7. ==[ beta ]==> ((^y.a)(a a)) 8. ==[ alpha ]==> ((^x.a)(a a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 10128/384348. ------ 1. ==[ start ]==> (((a (a a)) b)(c b)) REDUCED to normal form. ------ 10129/384375. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b c)) 3. ==[ beta ]==> (((^y.y) a)(b c)) 4. ==[ alpha ]==> (((^x.x) a)(b c)) 5. ==[ beta ]==> (a (b c)) REDUCED to normal form. ------ 10130/384393. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 10131/384420. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 10132/384456. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.a))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))(b (a (^y.y)))) REDUCED to normal form. ------ 10133/384474. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.a)) REDUCED to normal form. ------ 10134/384483. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 10135/384510. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a a))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 7. ==[ beta ]==> ((a (^y.y))(a a)) 8. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 10136/384573. ------ 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))) REDUCED to normal form. ------ 10137/384600. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 10138/384627. ------ 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. ------ 10139/384654. ------ 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. ------ 10140/384681. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 10141/384717. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 10142/384771. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(^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. ------ 10143/384807. ------ 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. ------ 10144/384954. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> ((^z.((z z) z))(^y.y)) 4. ==[ alpha ]==> ((^x.((x x) x))(^y.y)) 5. ==[ beta ]==> (((^y.y)(^y.y))(^y.y)) 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. ------ 10145/386196. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((^y.(y (^z.z)))(^y.(y (^z.z))))(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((^x.(x (^y.y)))(^z.(z (^x1.x1))))(^y1.(y1 (^z1.z1)))) 5. ==[ beta ]==> (((^z.(z (^x1.x1)))(^y.y))(^y1.(y1 (^z1.z1)))) 6. ==[ alpha ]==> (((^x.(x (^y.y)))(^z.z))(^x1.(x1 (^y1.y1)))) 7. ==[ beta ]==> (((^z.z)(^y.y))(^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))) REDUCED to normal form. ------ 10146/386325. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b) b) 3. ==[ beta ]==> (((^y.y) b) b) 4. ==[ alpha ]==> (((^x.x) b) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 10147/386349. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10148/386469. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 10149/386475. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.(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. ------ 10150/386478. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.((y y) y))) REDUCED to normal form. ------ 10151/386631. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 10152/386766. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 10153/386910. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^x.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 10154/386934. ------ 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. ------ 10155/387036. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 10156/387144. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 10157/387159. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10158/387252. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 10159/387261. ------ 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. ------ 10160/387285. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^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. ------ 10161/387441. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 10162/387522. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 10163/387717. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (a (^y.y)))) 3. ==[ beta ]==> (((a (a (^y.y)))(a (a (^y.y))))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a (a (^x.x)))(a (a (^y.y))))(a (a (^z.z)))) REDUCED to normal form. ------ 10164/387720. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 10165/387756. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.y1)) 3. ==[ beta ]==> ((^y.y)(^y1.y1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10166/387810. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.a)) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.a)) 5. ==[ beta ]==> (a (^z.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 10167/387846. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 10168/387876. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.x))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 10169/387885. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 10170/387912. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 10171/387939. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 10172/387966. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 10173/387975. ------ 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. ------ 10174/388002. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a ((a a) a))) REDUCED to normal form. ------ 10175/388038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 10176/388137. ------ 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 (^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 10177/388155. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(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. ------ 10178/388200. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 10179/388227. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.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. ------ 10180/388236. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 10181/388263. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 10182/388281. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 10183/388290. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 10184/388308. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z)) a) 6. ==[ alpha ]==> (((^x.x)(^y.y)) a) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 10185/388317. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 10186/388344. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 10187/388407. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 10188/388434. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 10189/388461. ------ 1. ==[ start ]==> ((a (a (a a)))((a (a a))(a a))) REDUCED to normal form. ------ 10190/388470. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z)) b)) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y)) b)) 5. ==[ beta ]==> (((^y.(y y)) b)((^y.(y y)) b)) 6. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y)) b)) 7. ==[ beta ]==> ((b b)((^y.(y y)) b)) 8. ==[ alpha ]==> ((b b)((^x.(x x)) b)) 9. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 10191/388497. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a) c)) 3. ==[ beta ]==> ((^y.y)((^x1.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 10192/388533. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b (^y.(y y)))) 3. ==[ beta ]==> ((a b)(b (^y.(y y)))) 4. ==[ alpha ]==> ((a b)(b (^x.(x x)))) REDUCED to normal form. ------ 10193/388560. ------ 1. ==[ start ]==> (((a (a a)) a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 10194/388578. ------ 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. ------ 10195/388587. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 10196/388605. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 10197/388614. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 10198/388641. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 10199/388659. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 10200/388668. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (a a))) REDUCED to normal form. ------ 10201/388686. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 10202/388758. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> ((a (a (^y.y)))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b ((^y.y) a))) 5. ==[ beta ]==> ((a (a (^x.x)))(b a)) REDUCED to normal form. ------ 10203/388776. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 10204/388785. ------ 1. ==[ start ]==> (((a (a a))(a a))(a (a (a a)))) REDUCED to normal form. ------ 10205/388812. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((a (^y.y))(((^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. ------ 10206/388821. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 10207/388902. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) 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. ------ 10208/388911. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(a a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(a a))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 10209/388938. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 10210/388956. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^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. ------ 10211/388965. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 10212/388983. ------ 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)(((^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. ------ 10213/388992. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 10214/389019. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 10215/389046. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 10216/389109. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 10217/389163. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b b)) 3. ==[ beta ]==> ((a ((^y.y) a))(b b)) 4. ==[ alpha ]==> ((a ((^x.x) a))(b b)) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 10218/389217. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b (a a))) 3. ==[ beta ]==> (((^y.y)(a a))(b (a a))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (a a))) 5. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 10219/389244. ------ 1. ==[ start ]==> ((a ((a a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(a (a (^x.x)))) REDUCED to normal form. ------ 10220/389280. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a) 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. ------ 10221/389334. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a) a)) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 10222/389370. ------ 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. ------ 10223/389526. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((^z.(^x1.a))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.a))(^z.z)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 10224/390768. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^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)))) 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. ------ 10225/390897. ------ 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. ------ 10226/390948. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^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)))) 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. ------ 10227/390975. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 10228/391059. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 10229/391068. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z) z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10230/391173. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (^y.((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (^x.((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 10231/391245. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(a a))) 3. ==[ eta ]==> ((^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. ------ 10232/391347. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 10233/391491. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(^b.(^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. ------ 10234/391833. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.d)) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.d)) 3. ==[ beta ]==> ((b b)(^y.d)) 4. ==[ alpha ]==> ((b b)(^x.d)) REDUCED to normal form. ------ 10235/391842. ------ 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. ------ 10236/392022. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 10237/392193. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.y))) REDUCED to normal form. ------ 10238/392247. ------ 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. ------ 10239/392298. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.(^x1.x1)))((^y.y)(^z.(^x1.x1))))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1))))((^x2.x2)(^y2.(^z2.z2)))) 5. ==[ beta ]==> (((^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. ------ 10240/392301. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 10241/392337. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a a))) 3. ==[ beta ]==> ((^y.y)(^y1.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 10242/392391. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.b)) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.b)) 5. ==[ beta ]==> (a (^z.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 10243/392427. ------ 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. ------ 10244/392475. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (a (((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (a (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 10245/392484. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 10246/392511. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((a b)((^y.a)(^y.a))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 10247/392565. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 10248/392601. ------ 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. ------ 10249/392610. ------ 1. ==[ start ]==> (((a a) b)((^c.a) a)) 2. ==[ alpha ]==> (((a a) b)((^x.a) a)) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 10250/392628. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^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. ------ 10251/392637. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 10252/392655. ------ 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. ------ 10253/392682. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) a)((^x1.x1) 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. ------ 10254/392709. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 10255/392727. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 10256/392781. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 10257/392826. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) 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. ------ 10258/392853. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 10259/392880. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 10260/392907. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 10261/392934. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a)) b)) 3. ==[ beta ]==> ((a (^y.y))((a (a a)) b)) 4. ==[ alpha ]==> ((a (^x.x))((a (a a)) b)) REDUCED to normal form. ------ 10262/392970. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 10263/392997. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(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. ------ 10264/393024. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 10265/393042. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 10266/393060. ------ 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. ------ 10267/393087. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 10268/393141. ------ 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. ------ 10269/393177. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 10270/393204. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 10271/393231. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 10272/393258. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 10273/393294. ------ 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. ------ 10274/393321. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 10275/393348. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 10276/393375. ------ 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. ------ 10277/393411. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10278/393438. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 10279/393501. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) 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. ------ 10280/393528. ------ 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. ------ 10281/393546. ------ 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. ------ 10282/393555. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 10283/393582. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 10284/393609. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z)) b)) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z)) b)) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y)) b)) REDUCED to normal form. ------ 10285/393627. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b (a (^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 10286/393663. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) a)) 5. ==[ beta ]==> ((^y.y)((^z.a) a)) 6. ==[ alpha ]==> ((^x.x)((^y.a) a)) 7. ==[ beta ]==> ((^y.a) a) 8. ==[ alpha ]==> ((^x.a) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 10287/393699. ------ 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)(^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 10288/393726. ------ 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. ------ 10289/393753. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(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. ------ 10290/393780. ------ 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. ------ 10291/393807. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 10292/393834. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)(^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. ------ 10293/393870. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 10294/393924. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a b)) 3. ==[ beta ]==> (((^y.a)(^y.a))(a b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a b)) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 10295/393960. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z) a)) 3. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 4. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 10296/393986. ------ 1. ==[ start ]==> (^a.(((a a) a) a)) 2. ==[ alpha ]==> (^x.(((x x) x) x)) REDUCED to normal form. ------ 10297/393987. ------ 1. ==[ start ]==> (a (((a a) a) a)) REDUCED to normal form. ------ 10298/394809. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(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. ------ 10299/395523. ------ 1. ==[ start ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 10300/395529. ------ 1. ==[ start ]==> ((^a.a)(((a a) a) a)) 2. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 10301/395556. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z)) b)(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> (b (((^y.y)(^z.z)) b)) 8. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 9. ==[ beta ]==> (b ((^y.y) b)) 10. ==[ alpha ]==> (b ((^x.x) b)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 10302/395583. ------ 1. ==[ start ]==> ((^a.b)((a (a a)) c)) 2. ==[ alpha ]==> ((^x.b)((a (a a)) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 10303/395619. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10304/395676. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10305/395685. ------ 1. ==[ start ]==> (((a a) b)(^a.((a a) a))) 2. ==[ alpha ]==> (((a a) b)(^x.((x x) x))) REDUCED to normal form. ------ 10306/395781. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (^z.(z z)))) 3. ==[ beta ]==> (^y.(c (^z.(z z)))) 4. ==[ alpha ]==> (^x.(c (^y.(y y)))) REDUCED to normal form. ------ 10307/395820. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10308/395853. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ eta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10309/395973. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10310/396024. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 10311/396117. ------ 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 a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(^x.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 10312/396123. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((^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))) 5. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) a)((^y1.(^z1.z1)) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a)((^x1.(^y1.y1)) a))) 7. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.(^y1.y1)) a)) 8. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) a)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 11. ==[ beta ]==> ((^y.(^z.z)) a) 12. ==[ alpha ]==> ((^x.(^y.y)) a) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10313/396243. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.(^b.(^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. ------ 10314/396348. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10315/396351. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 10316/396474. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(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. ------ 10317/396567. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 10318/396648. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 10319/396738. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.x1)) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10320/396801. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.c)) REDUCED to normal form. ------ 10321/396906. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a) b)) 2. ==[ alpha ]==> ((^x.((x x) x))((a a) b)) 3. ==[ beta ]==> ((((a a) b)((a a) b))((a a) b)) REDUCED to normal form. ------ 10322/396999. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(a a))) 5. ==[ beta ]==> (a (^z.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 10323/397035. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(z z))) 3. ==[ beta ]==> (((^y.y) b)(^z.(z z))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(y y))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 10324/397062. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.a)) 2. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 10325/397074. ------ 1. ==[ start ]==> ((a a)(((a a) a) a)) REDUCED to normal form. ------ 10326/397101. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> ((a (a a))((^y.y) b)) 4. ==[ alpha ]==> ((a (a a))((^x.x) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 10327/397110. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10328/397128. ------ 1. ==[ start ]==> ((a b)((a (a a)) c)) REDUCED to normal form. ------ 10329/397137. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((a a)((^y.a)(^y.a))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 10330/397164. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 10331/397173. ------ 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. ------ 10332/397200. ------ 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))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 10333/397227. ------ 1. ==[ start ]==> (((a a) b)(a ((a a) a))) REDUCED to normal form. ------ 10334/397254. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 10335/397281. ------ 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. ------ 10336/397308. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^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. ------ 10337/397326. ------ 1. ==[ start ]==> ((a (^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(c (^y.(y y)))) REDUCED to normal form. ------ 10338/397362. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a 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. ------ 10339/397398. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) 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)((^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. ------ 10340/397407. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 10341/397434. ------ 1. ==[ start ]==> (((^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.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (^z1.z1)))) 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. ------ 10342/397488. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 10343/397515. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)((^y1.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. ------ 10344/397569. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 10345/397659. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(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. ------ 10346/397668. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 10347/397740. ------ 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 (^x.x)) a)) REDUCED to normal form. ------ 10348/397758. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 10349/397767. ------ 1. ==[ start ]==> (((a (a a)) a)((a a)(a (a a)))) REDUCED to normal form. ------ 10350/397785. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(a (^b.(^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. ------ 10351/397812. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 10352/397866. ------ 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 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. ------ 10353/397893. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 10354/397911. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (a a)) a)) REDUCED to normal form. ------ 10355/397938. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a) b)) 5. ==[ beta ]==> (((a (^x.x)) a)(a b)) REDUCED to normal form. ------ 10356/397983. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 10357/398019. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z)) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) a)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 10358/398109. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(a (^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 10359/398163. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10360/398172. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b c)) REDUCED to normal form. ------ 10361/398190. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 10362/398226. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (a a))) 3. ==[ beta ]==> ((a (^y.a))(c (a a))) 4. ==[ alpha ]==> ((a (^x.a))(c (a a))) REDUCED to normal form. ------ 10363/398244. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))(^a.(^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. ------ 10364/398253. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 10365/398280. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a ((^a.a) 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. ------ 10366/398316. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 10367/398370. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.z))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 10368/398397. ------ 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. ------ 10369/398424. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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)) REDUCED to normal form. ------ 10370/398451. ------ 1. ==[ start ]==> ((a ((a a) a))((a a) b)) REDUCED to normal form. ------ 10371/398487. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (^a.a))) 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. ------ 10372/398541. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(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. ------ 10373/398577. ------ 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. ------ 10374/398604. ------ 1. ==[ start ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 10375/399210. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.((^a.a)(^a.a)))) 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)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10376/399435. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10377/399561. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 10378/400149. ------ 1. ==[ start ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 10379/400173. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10380/400299. ------ 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)) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 10381/400320. ------ 1. ==[ start ]==> (((a a) b)(^b.(^c.a))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.a))) REDUCED to normal form. ------ 10382/400617. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 10383/400659. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a)) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 10384/400752. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 10385/400758. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a ((^a.a)(^a.a)))) 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))))) 5. ==[ beta ]==> ((a (^y.y))((a ((^z.z)(^x1.x1)))(a ((^y1.y1)(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))((a ((^y.y)(^z.z)))(a ((^x1.x1)(^y1.y1))))) 7. ==[ beta ]==> ((a (^x.x))((a (^z.z))(a ((^x1.x1)(^y1.y1))))) 8. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a ((^z.z)(^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. ------ 10386/400761. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(^x.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 10387/400887. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 10388/400983. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10389/400986. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 10390/401109. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(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. ------ 10391/401112. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z (z z)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 10392/401211. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 10393/401292. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^z.a)) REDUCED to normal form. ------ 10394/401373. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 7. ==[ beta ]==> (^y.(^z.a)) 8. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 10395/401541. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (a a))) 2. ==[ alpha ]==> ((^x.((x x) x))(b (a a))) 3. ==[ beta ]==> (((b (a a))(b (a a)))(b (a a))) REDUCED to normal form. ------ 10396/401634. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(^a.a))) 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. ------ 10397/401670. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 10398/401697. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 10399/401711. ------ 1. ==[ start ]==> (^a.(^b.((a a) a))) 2. ==[ alpha ]==> (^x.(^y.((x x) x))) REDUCED to normal form. ------ 10400/401712. ------ 1. ==[ start ]==> (a (^b.((a a) a))) 2. ==[ alpha ]==> (a (^x.((a a) a))) REDUCED to normal form. ------ 10401/401727. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a) a)) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a) a)) REDUCED to normal form. ------ 10402/401754. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z)) b) 6. ==[ alpha ]==> (((^x.x)(^y.y)) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 10403/401763. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 10404/401790. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 10405/401817. ------ 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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 10406/401844. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 10407/401853. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(b (^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 10408/401871. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(^c.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. ------ 10409/401916. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^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. ------ 10410/401988. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 10411/402006. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(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. ------ 10412/402015. ------ 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. ------ 10413/402051. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 10414/402078. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 10415/402087. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 10416/402114. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)((^a.a) 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))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 10417/402132. ------ 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. ------ 10418/402141. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 10419/402159. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 10420/402168. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 10421/402195. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^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. ------ 10422/402213. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a)) b)) REDUCED to normal form. ------ 10423/402285. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b (a (a a)))) 3. ==[ beta ]==> ((a (a a))(b (a (a a)))) REDUCED to normal form. ------ 10424/402303. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(^b.(^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. ------ 10425/402312. ------ 1. ==[ start ]==> ((a (a (a a)))(a ((^a.a)(^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. ------ 10426/402321. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((^y.(^z.z)) a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) a)) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 9. ==[ beta ]==> ((^y.(^z.z)) a) 10. ==[ alpha ]==> ((^x.(^y.y)) a) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10427/402348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 10428/402384. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (^b.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. ------ 10429/402411. ------ 1. ==[ start ]==> (((a (a a)) a)(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(b (^x.(x x)))) REDUCED to normal form. ------ 10430/402438. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 10431/402456. ------ 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))(^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. ------ 10432/402465. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(a a))) REDUCED to normal form. ------ 10433/402492. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 10434/402510. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 10435/402519. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 10436/402537. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 10437/402627. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 10438/402636. ------ 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. ------ 10439/402663. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 10440/402672. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10441/402699. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 10442/402762. ------ 1. ==[ start ]==> (((a (a a)) b)(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(a (^x.(x x)))) REDUCED to normal form. ------ 10443/402789. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(a a))) 5. ==[ beta ]==> (a ((^y.a)(a a))) 6. ==[ alpha ]==> (a ((^x.a)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 10444/402807. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 10445/402816. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 10446/402834. ------ 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 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. ------ 10447/402843. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 10448/402870. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 10449/402888. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z)) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 10450/402897. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 10451/402924. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 10452/402960. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 10453/402987. ------ 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. ------ 10454/403041. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(b b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b b)) REDUCED to normal form. ------ 10455/403095. ------ 1. ==[ start ]==> ((a ((a a) a))(b (a a))) REDUCED to normal form. ------ 10456/403131. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10457/403185. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)(^z.z))) 3. ==[ beta ]==> (((^y.a)(^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. ------ 10458/403221. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.z))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 10459/403248. ------ 1. ==[ start ]==> ((((a a) a) a)(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)(a (^x.x))) REDUCED to normal form. ------ 10460/403265. ------ 1. ==[ start ]==> (^a.((^a.a)((a a) a))) 2. ==[ alpha ]==> (^x.((^y.y)((x x) x))) 3. ==[ beta ]==> (^x.((x x) x)) REDUCED to normal form. ------ 10461/403266. ------ 1. ==[ start ]==> (a ((^a.a)((a a) a))) 2. ==[ alpha ]==> (a ((^x.x)((a a) a))) 3. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 10462/403269. ------ 1. ==[ start ]==> ((^a.a)(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 3. ==[ beta ]==> (^y.((a a) a)) 4. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 10463/403863. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^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))))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10464/404214. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10465/404820. ------ 1. ==[ start ]==> (((^a.a)((a a) a)) a) 2. ==[ alpha ]==> (((^x.x)((a a) a)) a) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 10466/404826. ------ 1. ==[ start ]==> ((^a.a)((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a a) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 10467/404829. ------ 1. ==[ start ]==> ((a a)(^b.((a a) a))) 2. ==[ alpha ]==> ((a a)(^x.((a a) a))) REDUCED to normal form. ------ 10468/404880. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 10469/404961. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.(^z1.z1)))(^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. ------ 10470/405000. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^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. ------ 10471/405078. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(((^z.z) a)((^x1.x1) 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. ------ 10472/405420. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(^b.(^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. ------ 10473/405423. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 10474/405432. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.((^z.z)(^x1.x1)))(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10475/405666. ------ 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. ------ 10476/405771. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10477/405774. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 10478/405783. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10479/406125. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.y))) 5. ==[ beta ]==> ((a a)(^y.(^z.y))) 6. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 10480/406179. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(a (^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(a (^z.z)))) 6. ==[ alpha ]==> ((a a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 10481/406203. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))(^a.a))) 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. ------ 10482/406242. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(a (^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. ------ 10483/406332. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.a)) 3. ==[ beta ]==> (((^y.y) b)(^z.a)) 4. ==[ alpha ]==> (((^x.x) b)(^y.a)) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 10484/406359. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.a)) 2. ==[ alpha ]==> ((((a a) a) a)(^x.a)) REDUCED to normal form. ------ 10485/406377. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.y)) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 10486/406389. ------ 1. ==[ start ]==> ((a a)((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 3. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 10487/406407. ------ 1. ==[ start ]==> (((^a.a) a)(((a a) a) a)) 2. ==[ alpha ]==> (((^x.x) a)(((a a) a) a)) 3. ==[ beta ]==> (a (((a a) a) a)) REDUCED to normal form. ------ 10488/406434. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> (((a a) a)((^y.y) b)) 4. ==[ alpha ]==> (((a a) a)((^x.x) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 10489/406443. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 10490/406497. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 10491/406524. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 10492/406533. ------ 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. ------ 10493/406560. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(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. ------ 10494/406587. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(^a.a))(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 (^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 10495/406596. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 10496/406614. ------ 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. ------ 10497/406641. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.a))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.a))(a ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 10498/406686. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 10499/406758. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 10500/406785. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((a a)(a (^y.a))) 6. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 10501/406812. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 10502/406839. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 10503/406866. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^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. ------ 10504/406902. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 10505/406929. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 10506/406956. ------ 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)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 10507/406983. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)(^b.(^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. ------ 10508/406992. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a ((^a.a)(^a.a)))) 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)))) 7. ==[ beta ]==> ((a (^y.y))(a ((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 10509/407019. ------ 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. ------ 10510/407055. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 10511/407073. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))((^x1.x1) 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 (^x.x)) a) REDUCED to normal form. ------ 10512/407100. ------ 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. ------ 10513/407136. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (a a))(^z.z))) REDUCED to normal form. ------ 10514/407163. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 10515/407190. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 10516/407226. ------ 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. ------ 10517/407253. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.z))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 8. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 10518/407280. ------ 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)))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 10519/407298. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 10520/407307. ------ 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. ------ 10521/407334. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^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. ------ 10522/407343. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 10523/407370. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 10524/407424. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((a a)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 10525/407460. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.z))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 10526/407487. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 10527/407505. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 10528/407514. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.a))) REDUCED to normal form. ------ 10529/407541. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) 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. ------ 10530/407568. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 10531/407658. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 10532/407685. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) 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))) 5. ==[ beta ]==> ((a a)(a (^y.a))) 6. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 10533/407712. ------ 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. ------ 10534/407739. ------ 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)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 10535/407766. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))(^a.a))) 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. ------ 10536/407802. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 10537/407856. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b a)) 3. ==[ beta ]==> (((^y.a)(^y.a))(b a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b a)) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 10538/407892. ------ 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. ------ 10539/407919. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x) a)) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 10540/407937. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(a a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(a a)) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 10541/407958. ------ 1. ==[ start ]==> ((^a.(^a.a))(^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. ------ 10542/409500. ------ 1. ==[ start ]==> (((^a.a)((a a) a)) b) 2. ==[ alpha ]==> (((^x.x)((a a) a)) b) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 10543/409524. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 10544/409527. ------ 1. ==[ start ]==> ((a (^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 10545/409542. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a) a)) 3. ==[ beta ]==> ((((a a) a) a)(((a a) a) a)) REDUCED to normal form. ------ 10546/409569. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 10547/409605. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10548/409689. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^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. ------ 10549/409698. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((y y) y))) REDUCED to normal form. ------ 10550/409851. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 10551/410010. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 10552/410121. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(^b.(^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. ------ 10553/410256. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 10554/410334. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10555/410472. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10556/410562. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) b)(^x.a)) REDUCED to normal form. ------ 10557/410814. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.c)) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.c)) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.c)) 5. ==[ beta ]==> ((a a)(^y.c)) 6. ==[ alpha ]==> ((a a)(^x.c)) REDUCED to normal form. ------ 10558/410892. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y)) a)) 3. ==[ beta ]==> ((((a (^y.y)) a)((a (^y.y)) a))((a (^y.y)) a)) 4. ==[ alpha ]==> ((((a (^x.x)) a)((a (^y.y)) a))((a (^z.z)) a)) REDUCED to normal form. ------ 10559/410931. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 10560/410985. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 10561/411021. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.b)) 3. ==[ beta ]==> (((^y.y) b)(^z.b)) 4. ==[ alpha ]==> (((^x.x) b)(^y.b)) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 10562/411048. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(x x))) REDUCED to normal form. ------ 10563/411066. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 10564/411096. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 10565/411114. ------ 1. ==[ start ]==> ((a (a a))(((a a) a) a)) REDUCED to normal form. ------ 10566/411141. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> ((a b)((^y.y) b)) 4. ==[ alpha ]==> ((a b)((^x.x) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 10567/411150. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 10568/411177. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 10569/411231. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^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. ------ 10570/411240. ------ 1. ==[ start ]==> (((a a) b)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a) b)(b (^y.y))) 4. ==[ alpha ]==> (((a a) b)(b (^x.x))) REDUCED to normal form. ------ 10571/411267. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a ((a a) a))) REDUCED to normal form. ------ 10572/411294. ------ 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. ------ 10573/411321. ------ 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. ------ 10574/411375. ------ 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)((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. ------ 10575/411420. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a (^z.a))) 3. ==[ beta ]==> ((^y.a)(a (^z.a))) 4. ==[ alpha ]==> ((^x.a)(a (^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 10576/411447. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10577/411501. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)((^z.z) a))) 5. ==[ beta ]==> (a ((^y.a)((^z.z) a))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 10578/411510. ------ 1. ==[ start ]==> (((a a)(^b.a))(c d)) 2. ==[ alpha ]==> (((a a)(^x.a))(c d)) REDUCED to normal form. ------ 10579/411528. ------ 1. ==[ start ]==> (((^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)))) 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. ------ 10580/411582. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 10581/411600. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (a a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a)) b)) 3. ==[ beta ]==> (((a a) a)((a (a a)) b)) REDUCED to normal form. ------ 10582/411672. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (a (a a)))) 3. ==[ beta ]==> ((a a)(b (a (a a)))) REDUCED to normal form. ------ 10583/411690. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(^b.(^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. ------ 10584/411753. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (a (^y.y)))) 6. ==[ alpha ]==> ((a b)(a (a (^x.x)))) REDUCED to normal form. ------ 10585/411780. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) a)((a (^x.x)) a)) REDUCED to normal form. ------ 10586/411798. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b (^y.(y y)))) 3. ==[ beta ]==> ((a (a a))(b (^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(x x)))) REDUCED to normal form. ------ 10587/411807. ------ 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. ------ 10588/411825. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 10589/411879. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 10590/411906. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 10591/411924. ------ 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. ------ 10592/411951. ------ 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. ------ 10593/411978. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) a) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a) b)) 5. ==[ beta ]==> ((a (a (^x.x)))(a b)) REDUCED to normal form. ------ 10594/411996. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 10595/412041. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10596/412122. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.a))) 5. ==[ beta ]==> ((^y.y)(b (^y1.a))) 6. ==[ alpha ]==> ((^x.x)(b (^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 10597/412131. ------ 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. ------ 10598/412176. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a a))) 5. ==[ beta ]==> ((^y.y)((^z.a)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 7. ==[ beta ]==> ((^y.a)(a a)) 8. ==[ alpha ]==> ((^x.a)(a a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 10599/412185. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c b)) REDUCED to normal form. ------ 10600/412203. ------ 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))(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. ------ 10601/412212. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b c)) REDUCED to normal form. ------ 10602/412257. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 10603/412293. ------ 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. ------ 10604/412329. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a) a)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 10605/412356. ------ 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)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 10606/412410. ------ 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. ------ 10607/412437. ------ 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. ------ 10608/412464. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x)) a)) REDUCED to normal form. ------ 10609/412500. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10610/412554. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (a (a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 10611/412590. ------ 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. ------ 10612/412617. ------ 1. ==[ start ]==> ((((a a) a) a)(a (a a))) REDUCED to normal form. ------ 10613/412635. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(a (^a.a))) 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. ------ 10614/414252. ------ 1. ==[ start ]==> (((^a.a) a)(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)(^y.((a a) a))) 3. ==[ beta ]==> (a (^y.((a a) a))) 4. ==[ alpha ]==> (a (^x.((a a) a))) REDUCED to normal form. ------ 10615/414414. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.a))) REDUCED to normal form. ------ 10616/414483. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z)) c)) 3. ==[ beta ]==> (^y.((^z.(z z)) c)) 4. ==[ alpha ]==> (^x.((^y.(y y)) c)) 5. ==[ beta ]==> (^x.(c c)) REDUCED to normal form. ------ 10617/414555. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)((^z.z)(^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 10618/414711. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.((^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))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 10619/414726. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 10620/414825. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (a (a a)))) 3. ==[ beta ]==> ((b (a (a a)))((b (a (a a)))(b (a (a a))))) REDUCED to normal form. ------ 10621/414981. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 10622/415050. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10623/415176. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10624/415188. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.d)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.d)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.d)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10625/415305. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(z z)))) 5. ==[ beta ]==> (a (^y.(^z.(z z)))) 6. ==[ alpha ]==> (a (^x.(^y.(y y)))) REDUCED to normal form. ------ 10626/415386. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 10627/415476. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a a)((^x.x)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.z)) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 10628/415647. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.b)) 3. ==[ beta ]==> ((^y.y)(^y1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 10629/415701. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.z)) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.z)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 10630/415737. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(a a))) 3. ==[ beta ]==> (((^y.y) b)(^z.(a a))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(a a))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 10631/415764. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 10632/415782. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.a)) 3. ==[ beta ]==> (((a a) a)(^y.a)) 4. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 10633/415830. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)((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))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 10634/415848. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a) a)) 3. ==[ beta ]==> ((^y.y)(((a a) a) a)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 10635/415875. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 10636/415884. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 10637/415911. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.a))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 10638/415938. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 10639/415965. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 10640/416037. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10641/416064. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y)) c)) 3. ==[ beta ]==> ((a (^x.a))(c c)) REDUCED to normal form. ------ 10642/416082. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 10643/416100. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(c (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(y y)))) 5. ==[ beta ]==> (c (^y.(y y))) 6. ==[ alpha ]==> (c (^x.(x x))) REDUCED to normal form. ------ 10644/416109. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 10645/416136. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a 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. ------ 10646/416172. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.x2))) 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. ------ 10647/416181. ------ 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 (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 10648/416208. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 10649/416226. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.a))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.a))) 7. ==[ beta ]==> (a (a (^y.a))) 8. ==[ alpha ]==> (a (a (^x.a))) REDUCED to normal form. ------ 10650/416235. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 10651/416253. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 10652/416262. ------ 1. ==[ start ]==> (((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)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 10653/416289. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)((^a.a)(^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 (^x.x))((^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. ------ 10654/416307. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 10655/416397. ------ 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 a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 10656/416406. ------ 1. ==[ start ]==> ((a (a (a a)))(b (a (a a)))) REDUCED to normal form. ------ 10657/416442. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 10658/416496. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a) c)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) c)) 5. ==[ beta ]==> ((^y.y)((^z.a) c)) 6. ==[ alpha ]==> ((^x.x)((^y.a) c)) 7. ==[ beta ]==> ((^y.a) c) 8. ==[ alpha ]==> ((^x.a) c) 9. ==[ beta ]==> a REDUCED to normal form. ------ 10659/416532. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.(y y)))) REDUCED to normal form. ------ 10660/416559. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 10661/416586. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 10662/416604. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 10663/416613. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 10664/416631. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 10665/416721. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 10666/416757. ------ 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 (^y.y))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 10667/416793. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 10668/416856. ------ 1. ==[ start ]==> (((a (a a)) b)(b (^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)(b (^x.a))) REDUCED to normal form. ------ 10669/416883. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(a (^z.(z z)))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.(y y)))) 5. ==[ beta ]==> (a (a (^y.(y y)))) 6. ==[ alpha ]==> (a (a (^x.(x x)))) REDUCED to normal form. ------ 10670/416901. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 10671/416910. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 10672/416928. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^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. ------ 10673/416937. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(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. ------ 10674/416964. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.a))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.a))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 10675/416982. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) 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. ------ 10676/416991. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 10677/417018. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))(^a.(^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. ------ 10678/417054. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 10679/417081. ------ 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))) REDUCED to normal form. ------ 10680/417108. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((a a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 10681/417162. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b b)) 3. ==[ beta ]==> (((^y.y)(a a))(b b)) 4. ==[ alpha ]==> (((^x.x)(a a))(b b)) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 10682/417225. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 10683/417279. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a) 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. ------ 10684/417315. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(a a))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 10685/417342. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)(^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. ------ 10686/417360. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y) a)) 3. ==[ beta ]==> (((a a) a)((^y.y) a)) 4. ==[ alpha ]==> (((a a) a)((^x.x) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 10687/417386. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10688/417387. ------ 1. ==[ start ]==> (a ((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 10689/417417. ------ 1. ==[ start ]==> ((^a.(a a))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((a a) a))) 3. ==[ beta ]==> ((^y.((a a) a))(^y.((a a) a))) 4. ==[ alpha ]==> ((^x.((a a) a))(^y.((a a) a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 10690/418767. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(a (^a.a)))) 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 (^y.y))(^y1.(a (^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 10691/418968. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a))) a) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1))) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 10692/418974. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))((^a.a)(^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. ------ 10693/419001. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^y.y)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a a) a)((^y.y)((a a) a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)((a a) a))) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 10694/419004. ------ 1. ==[ start ]==> ((a (a a))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (a a))(^x.((a a) a))) REDUCED to normal form. ------ 10695/419028. ------ 1. ==[ start ]==> ((^a.b)((^c.a)(^a.a))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 10696/419109. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^z.a)(^x1.(x1 x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(^y.(y y)))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 10697/419175. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> ((a (^y.y))(^z.((z z) z))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 10698/419226. ------ 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. ------ 10699/419298. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (^z.(^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 10700/419310. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 10701/419568. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.(^y1.y1))(^z1.(z1 z1)))((^x2.(^y2.y2))(^z2.(z2 z2))))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(^z1.(z1 z1)))((^x2.(^y2.y2))(^z2.(z2 z2))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2))))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10702/419607. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10703/419793. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10704/419841. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(a (a a)))) REDUCED to normal form. ------ 10705/419919. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10706/419958. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 10707/420129. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 10708/420219. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 10709/420300. ------ 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. ------ 10710/420351. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(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. ------ 10711/420354. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 10712/420444. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(a a))) 5. ==[ beta ]==> (a (^z.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 10713/420480. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 10714/420525. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(y y))) 3. ==[ beta ]==> (((a a) a)(^y.(y y))) 4. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 10715/420552. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.y1)) 3. ==[ beta ]==> ((^y.y)(^y1.y1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10716/420564. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 10717/420591. ------ 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. ------ 10718/420609. ------ 1. ==[ start ]==> (((a a) a)(((a a) a) a)) REDUCED to normal form. ------ 10719/420618. ------ 1. ==[ start ]==> ((a b)((^c.a)(^a.a))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.y))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 10720/420636. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y) b)) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 10721/420663. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a)) c)) 2. ==[ alpha ]==> (((^x.x) b)((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 10722/420672. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 10723/420699. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 10724/420735. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(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. ------ 10725/420762. ------ 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. ------ 10726/420789. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 10727/420798. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 10728/420816. ------ 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. ------ 10729/420888. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 10730/420897. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 10731/420933. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^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. ------ 10732/420960. ------ 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. ------ 10733/420987. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 10734/421014. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) REDUCED to normal form. ------ 10735/421041. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 10736/421077. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 10737/421104. ------ 1. ==[ start ]==> (((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.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 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. ------ 10738/421131. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 10739/421158. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 10740/421167. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (a (a a)))) 3. ==[ beta ]==> ((^y.(y y))(b (a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))(b (a (a a)))) 5. ==[ beta ]==> ((b (a (a a)))(b (a (a a)))) REDUCED to normal form. ------ 10741/421194. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 10742/421230. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y)) b)) 3. ==[ beta ]==> ((a b)((^y.(y y)) b)) 4. ==[ alpha ]==> ((a b)((^x.(x x)) b)) 5. ==[ beta ]==> ((a b)(b b)) REDUCED to normal form. ------ 10743/421248. ------ 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)(^y.y))(((^z.z) a)(a (^x1.x1)))) 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. ------ 10744/421257. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a) c)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a) c)) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 10745/421275. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((a (^x.x)) a)) REDUCED to normal form. ------ 10746/421302. ------ 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. ------ 10747/421338. ------ 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. ------ 10748/421365. ------ 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. ------ 10749/421383. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c c)) REDUCED to normal form. ------ 10750/421401. ------ 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. ------ 10751/421428. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (a a))) REDUCED to normal form. ------ 10752/421455. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(^z.z))) 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. ------ 10753/421473. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 10754/421482. ------ 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. ------ 10755/421509. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 10756/421518. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 10757/421545. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 10758/421599. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a (^z1.z1)))) 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))) REDUCED to normal form. ------ 10759/421608. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 10760/421662. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 10761/421689. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 10762/421716. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)(^z.a))) 3. ==[ beta ]==> ((a (^y.a))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 10763/421743. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 10764/421770. ------ 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) REDUCED to normal form. ------ 10765/421806. ------ 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)(^y.y))((^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. ------ 10766/421860. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 10767/421887. ------ 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. ------ 10768/421914. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 10769/421941. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)(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. ------ 10770/421977. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (a a))) 3. ==[ beta ]==> ((^y.y)(b (a a))) 4. ==[ alpha ]==> ((^x.x)(b (a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 10771/422031. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)(a a))) 5. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 10772/422067. ------ 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. ------ 10773/422094. ------ 1. ==[ start ]==> ((((a a) a) a)((a a) a)) REDUCED to normal form. ------ 10774/422112. ------ 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. ------ 10775/422139. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 10776/422147. ------ 1. ==[ start ]==> (^a.((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.((x (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 10777/422148. ------ 1. ==[ start ]==> (a ((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (a ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 10778/422646. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 10779/423729. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a))) b) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1))) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 10780/423738. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a))) a) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 10781/423744. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(^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. ------ 10782/423753. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10783/423783. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 10784/423798. ------ 1. ==[ start ]==> ((^a.b)(((a a) a) a)) 2. ==[ alpha ]==> ((^x.b)(((a a) a) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 10785/423834. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10786/423945. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.(^c.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. ------ 10787/423954. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 10788/424239. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 10789/424242. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 10790/424377. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 10791/424494. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(a (a a)))) REDUCED to normal form. ------ 10792/424563. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.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. ------ 10793/424728. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 10794/424836. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 10795/424917. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^z.a)) REDUCED to normal form. ------ 10796/425070. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.c)) REDUCED to normal form. ------ 10797/425121. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(^y.(^z.z)))((a a)(^y.(^z.z))))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 10798/425277. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.b)) 2. ==[ alpha ]==> ((((a a) a) a)(^x.b)) REDUCED to normal form. ------ 10799/425295. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 10800/425322. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10801/425331. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 10802/425343. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 10803/425352. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 10804/425379. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 10805/425397. ------ 1. ==[ start ]==> ((a b)(((a a) a) a)) REDUCED to normal form. ------ 10806/425433. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 10807/425487. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10808/425496. ------ 1. ==[ start ]==> (((a a) b)(c (a (a a)))) REDUCED to normal form. ------ 10809/425514. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 10810/425523. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.y))) REDUCED to normal form. ------ 10811/425550. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 10812/425577. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^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. ------ 10813/425631. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^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. ------ 10814/425676. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(b (^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 10815/425757. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (a ((^y.(y y))(a (^z.z)))) 6. ==[ alpha ]==> (a ((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> (a ((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> (a ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 10816/425784. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 10817/425838. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))((^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. ------ 10818/425856. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^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. ------ 10819/425883. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 10820/425946. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10821/425973. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(^b.(^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. ------ 10822/426009. ------ 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. ------ 10823/426036. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a)) a)(a (a (^y.y)))) 4. ==[ alpha ]==> (((a (a a)) a)(a (a (^x.x)))) REDUCED to normal form. ------ 10824/426063. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 10825/426081. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 10826/426090. ------ 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. ------ 10827/426135. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 10828/426162. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 10829/426180. ------ 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. ------ 10830/426207. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.(y y)))) REDUCED to normal form. ------ 10831/426234. ------ 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. ------ 10832/426261. ------ 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. ------ 10833/426297. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10834/426324. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 10835/426387. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 10836/426414. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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. ------ 10837/426432. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(x1 x1)))) 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. ------ 10838/426459. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 10839/426495. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b c)) 3. ==[ beta ]==> ((a (^y.a))(b c)) 4. ==[ alpha ]==> ((a (^x.a))(b c)) REDUCED to normal form. ------ 10840/426513. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) a)) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 10841/426612. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a) a)) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 10842/426639. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) b)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 10843/426693. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.z))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 10844/426720. ------ 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. ------ 10845/426756. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10846/426810. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (^a.a))) 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. ------ 10847/426846. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b a)) 3. ==[ beta ]==> (((^y.y) b)(b a)) 4. ==[ alpha ]==> (((^x.x) b)(b a)) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 10848/426873. ------ 1. ==[ start ]==> ((((a a) a) a)(a b)) REDUCED to normal form. ------ 10849/426891. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 10850/426918. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a (^y1.y1))) 3. ==[ beta ]==> ((^y.y)(a (^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 10851/426927. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 10852/428526. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a))) b) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 10853/428550. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10854/428589. ------ 1. ==[ start ]==> (((a a) a)(^b.((a a) a))) 2. ==[ alpha ]==> (((a a) a)(^x.((a a) a))) REDUCED to normal form. ------ 10855/428631. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10856/428751. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 10857/428793. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (^y.((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (^x.((^y.(^z.z)) b)) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10858/428865. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))(a (a a)))) 3. ==[ eta ]==> ((^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. ------ 10859/428913. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.y))) REDUCED to normal form. ------ 10860/429036. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 10861/429318. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 10862/429360. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 10863/429642. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 10864/429723. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 10865/429813. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.((^a.a) a))) 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. ------ 10866/429918. ------ 1. ==[ start ]==> ((^a.((a a) a))(b b)) 2. ==[ alpha ]==> ((^x.((x x) x))(b b)) 3. ==[ beta ]==> (((b b)(b b))(b b)) REDUCED to normal form. ------ 10867/430047. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 10868/430074. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(a a))) REDUCED to normal form. ------ 10869/430119. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.a)) 3. ==[ beta ]==> ((^y.y)(^y1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 10870/430128. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 10871/430158. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 10872/430167. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 10873/430194. ------ 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. ------ 10874/430212. ------ 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. ------ 10875/430239. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 10876/430248. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 10877/430275. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 10878/430302. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 10879/430329. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 10880/430401. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 10881/430419. ------ 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. ------ 10882/430446. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 10883/430473. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 10884/430518. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.a))) REDUCED to normal form. ------ 10885/430545. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 10886/430563. ------ 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. ------ 10887/430572. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 10888/430590. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 10889/430599. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 10890/430626. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 10891/430644. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 10892/430734. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 10893/430833. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z)) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(z z)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 7. ==[ beta ]==> ((^y.(y y)) b) 8. ==[ alpha ]==> ((^x.(x x)) b) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 10894/430860. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a) c)) 3. ==[ beta ]==> ((a (a a))((^y.a) c)) 4. ==[ alpha ]==> ((a (a a))((^x.a) c)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 10895/430896. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.(z z)))) REDUCED to normal form. ------ 10896/430923. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 10897/430941. ------ 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 a))(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 10898/430950. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a a)(a a))) REDUCED to normal form. ------ 10899/430968. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 10900/431058. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 10901/431103. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10902/431184. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) b)) 5. ==[ beta ]==> ((^y.y)((^y1.a) b)) 6. ==[ alpha ]==> ((^x.x)((^y.a) b)) 7. ==[ beta ]==> ((^y.a) b) 8. ==[ alpha ]==> ((^x.a) b) 9. ==[ beta ]==> a REDUCED to normal form. ------ 10903/431193. ------ 1. ==[ start ]==> (((a (a a)) b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 10904/431220. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b (^z.a))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.a))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.a))) 5. ==[ beta ]==> (a (b (^y.a))) 6. ==[ alpha ]==> (a (b (^x.a))) REDUCED to normal form. ------ 10905/431247. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 10906/431265. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 10907/431274. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 10908/431301. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 10909/431319. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 10910/431328. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 10911/431355. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.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. ------ 10912/431391. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 10913/431418. ------ 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. ------ 10914/431445. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(a a))) 5. ==[ beta ]==> ((a a)((a (^y.y))(a a))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 10915/431472. ------ 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. ------ 10916/431526. ------ 1. ==[ start ]==> ((a ((a a) a))(b b)) REDUCED to normal form. ------ 10917/431562. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) a)) 5. ==[ beta ]==> ((a (^y.y)) a) 6. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 10918/431616. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (a ((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 10919/431652. ------ 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. ------ 10920/431679. ------ 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. ------ 10921/431697. ------ 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. ------ 10922/431724. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1) a)) 3. ==[ beta ]==> ((^y.y)((^y1.y1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 10923/431733. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 10924/431750. ------ 1. ==[ start ]==> (^a.((^b.a)(a (a a)))) 2. ==[ alpha ]==> (^x.((^y.x)(x (x x)))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 10925/431751. ------ 1. ==[ start ]==> (a ((^b.a)(a (a a)))) 2. ==[ alpha ]==> (a ((^x.a)(a (a a)))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 10926/431808. ------ 1. ==[ start ]==> ((^a.b)(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.b)(^y.((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 10927/433341. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a))) c) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z))) c) REDUCED to normal form. ------ 10928/433365. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 3. ==[ beta ]==> ((^y.a)(a (a a))) 4. ==[ alpha ]==> ((^x.a)(a (a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 10929/433392. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10930/433419. ------ 1. ==[ start ]==> ((^a.b)((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.y)((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 10931/433422. ------ 1. ==[ start ]==> ((a b)(^b.((a a) a))) 2. ==[ alpha ]==> ((a b)(^x.((a a) a))) REDUCED to normal form. ------ 10932/433500. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^z.(z z))(^x1.a))(^y.y)) 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. ------ 10933/433593. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.((z z) z))) 3. ==[ beta ]==> ((^y.y)(^z.((z z) z))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 10934/433617. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (^x.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 10935/433881. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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)(^x.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 10936/433959. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> (a (((^z.a)(^x1.a))((^y1.a)(^z1.a)))) 6. ==[ alpha ]==> (a (((^x.a)(^y.a))((^z.a)(^x1.a)))) 7. ==[ beta ]==> (a (a ((^z.a)(^x1.a)))) 8. ==[ alpha ]==> (a (a ((^x.a)(^y.a)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 10937/434259. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 10938/434310. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10939/434637. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.a))) REDUCED to normal form. ------ 10940/434718. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.y))) 5. ==[ beta ]==> ((a a)(^y.(^z.y))) 6. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 10941/434742. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((^x.(^y.y))(a a))((^z.(^x1.x1))(a a)))((^y1.(^z1.z1))(a a))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(a a)))((^y1.(^z1.z1))(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a a)))((^x1.(^y1.y1))(a a))) 7. ==[ beta ]==> (((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a))) 8. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 11. ==[ beta ]==> ((^y.(^z.z))(a a)) 12. ==[ alpha ]==> ((^x.(^y.y))(a a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10942/434781. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.c)) 3. ==[ beta ]==> ((^y.y)(^y1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 10943/434835. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(a (^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)))) REDUCED to normal form. ------ 10944/434871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.z)) 3. ==[ beta ]==> (((^y.y) b)(^z.z)) 4. ==[ alpha ]==> (((^x.x) b)(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 10945/434916. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.b)) 3. ==[ beta ]==> (((a a) a)(^y.b)) 4. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 10946/434943. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(y1 y1))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 10947/434952. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 10948/434982. ------ 1. ==[ start ]==> ((a a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a a)((^x.a)(a (a a)))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 10949/435000. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (a ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 10950/435009. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 10951/435036. ------ 1. ==[ start ]==> ((a b)((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a b)((^x.x)((a a) a))) 3. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 10952/435054. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 10953/435081. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 10954/435090. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(^a.(^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. ------ 10955/435117. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 10956/435180. ------ 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 (^x.x))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 10957/435207. ------ 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 a) a))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 10958/435234. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.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. ------ 10959/435270. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) 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. ------ 10960/435315. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 10961/435342. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 10962/435378. ------ 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)((^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. ------ 10963/435405. ------ 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. ------ 10964/435432. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.a))) REDUCED to normal form. ------ 10965/435459. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 10966/435495. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 10967/435522. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^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. ------ 10968/435549. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 10969/435576. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 10970/435612. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 10971/435648. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 10972/435666. ------ 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. ------ 10973/435675. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x)) b)) 3. ==[ beta ]==> (((a (a a)) a)(b b)) REDUCED to normal form. ------ 10974/435693. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))(a (a (^x.x)))) REDUCED to normal form. ------ 10975/435702. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a) c)) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 10976/435720. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a (^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. ------ 10977/435783. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 10978/435819. ------ 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. ------ 10979/435846. ------ 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)) 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)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 10980/435873. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (a a))) REDUCED to normal form. ------ 10981/435891. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (a a)) a)) 3. ==[ beta ]==> ((b b)((a (a a)) a)) REDUCED to normal form. ------ 10982/435900. ------ 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. ------ 10983/435927. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 10984/435936. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 10985/435963. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 10986/436017. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a a))) 7. ==[ beta ]==> (((^y.y) a)(a a)) 8. ==[ alpha ]==> (((^x.x) a)(a a)) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 10987/436026. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a) b)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a) b)) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 10988/436071. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((a a)((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 10989/436107. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) 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. ------ 10990/436134. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 10991/436152. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b c)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b c)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b c)) REDUCED to normal form. ------ 10992/436161. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 10993/436188. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 10994/436224. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^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. ------ 10995/436251. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.a)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.a)) REDUCED to normal form. ------ 10996/436305. ------ 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. ------ 10997/436332. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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. ------ 10998/436359. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 10999/436395. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a c)) 3. ==[ beta ]==> ((^y.y)(a c)) 4. ==[ alpha ]==> ((^x.x)(a c)) 5. ==[ beta ]==> (a c) REDUCED to normal form. ------ 11000/436449. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (a (^z.z)))) 3. ==[ beta ]==> (((^y.a)(^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. ------ 11001/436485. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.z) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 11002/436512. ------ 1. ==[ start ]==> ((((a a) a) a)((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.x))) REDUCED to normal form. ------ 11003/436530. ------ 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. ------ 11004/436557. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a (a a))) 3. ==[ beta ]==> ((^y.y)(a (a a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 11005/436566. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 11006/436592. ------ 1. ==[ start ]==> (^a.(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (^x.(((^y.y) x)(^z.(z z)))) 3. ==[ beta ]==> (^x.(x (^z.(z z)))) 4. ==[ alpha ]==> (^x.(x (^y.(y y)))) REDUCED to normal form. ------ 11007/436593. ------ 1. ==[ start ]==> (a (((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (a (((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> (a (a (^y.(y y)))) 4. ==[ alpha ]==> (a (a (^x.(x x)))) REDUCED to normal form. ------ 11008/436650. ------ 1. ==[ start ]==> ((^a.b)(^c.(^c.a))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 11009/438210. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a))) a) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y))) a) 3. ==[ beta ]==> ((a (^y.(y y))) a) 4. ==[ alpha ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 11010/438216. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 11011/438225. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 11012/438243. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((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)))) REDUCED to normal form. ------ 11013/438270. ------ 1. ==[ start ]==> ((^a.b)((a a)(^c.a))) 2. ==[ alpha ]==> ((^x.b)((a a)(^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 11014/438273. ------ 1. ==[ start ]==> ((a b)(^c.(^c.a))) 2. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 11015/438282. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.((a a) a))) 3. ==[ beta ]==> ((a a)(^y.((a a) a))) 4. ==[ alpha ]==> ((a a)(^x.((a a) a))) REDUCED to normal form. ------ 11016/438444. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 11017/438453. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((z z) z))) REDUCED to normal form. ------ 11018/438588. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 11019/438711. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 11020/438885. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)(^x.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 11021/439011. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 11022/439035. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11023/439161. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11024/439317. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 11025/439335. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 11026/439569. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.c)) 3. ==[ beta ]==> (((^y.y)(a a))(^z.c)) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.c)) 5. ==[ beta ]==> ((a a)(^y.c)) 6. ==[ alpha ]==> ((a a)(^x.c)) REDUCED to normal form. ------ 11027/439593. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))(^a.a))) 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. ------ 11028/439632. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(a (^a.a)))) 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))) REDUCED to normal form. ------ 11029/439686. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 11030/439722. ------ 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. ------ 11031/439767. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(a a))) 3. ==[ beta ]==> (((a a) a)(^y.(a a))) 4. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 11032/439794. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11033/439803. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 11034/439830. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.z)) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 11035/439842. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> ((a a)(a (^y.(y y)))) 4. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 11036/439851. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 11037/439869. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 11038/439878. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a))((^a.a)(^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. ------ 11039/439896. ------ 1. ==[ start ]==> ((a b)((a a)(^c.a))) 2. ==[ alpha ]==> ((a b)((a a)(^x.a))) REDUCED to normal form. ------ 11040/439905. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a a)((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 11041/439950. ------ 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. ------ 11042/439986. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11043/440013. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 11044/440040. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a))(^b.(^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. ------ 11045/440049. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 11046/440076. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((a a) a))) REDUCED to normal form. ------ 11047/440112. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 11048/440130. ------ 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. ------ 11049/440175. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.(z z)))) 3. ==[ beta ]==> ((^y.a)(c (^z.(z z)))) 4. ==[ alpha ]==> ((^x.a)(c (^y.(y y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 11050/440202. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 11051/440211. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)((^y.y)(^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. ------ 11052/440256. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a a))) 5. ==[ beta ]==> (a ((^y.(^z.z))(a a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 11053/440283. ------ 1. ==[ start ]==> (((^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.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. ------ 11054/440337. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 11055/440355. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 11056/440382. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 11057/440409. ------ 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. ------ 11058/440445. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((^y.a)(^z.a))((^y.a)(^z.a))) 6. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.a))) 7. ==[ beta ]==> (a ((^z.a)(^x1.a))) 8. ==[ alpha ]==> (a ((^x.a)(^y.a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 11059/440472. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11060/440508. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a ((^a.a)(^a.a)))) 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)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 11061/440535. ------ 1. ==[ start ]==> (((a (a a)) a)((a (a a))(a a))) REDUCED to normal form. ------ 11062/440562. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (a (^y.y)))) REDUCED to normal form. ------ 11063/440589. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a (^z.z)) a)) REDUCED to normal form. ------ 11064/440616. ------ 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. ------ 11065/440634. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 11066/440661. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 11067/440679. ------ 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. ------ 11068/440706. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(^z.a))) REDUCED to normal form. ------ 11069/440733. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 11070/440760. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (a a)) a)) REDUCED to normal form. ------ 11071/440787. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a) b)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a) b)) 5. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 11072/440796. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11073/440823. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11074/440886. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)(a a))) 3. ==[ beta ]==> (((a (a a)) b)(a (a a))) REDUCED to normal form. ------ 11075/440913. ------ 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. ------ 11076/440931. ------ 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. ------ 11077/440940. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 11078/440958. ------ 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)(a (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 11079/440994. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c b)) 3. ==[ beta ]==> ((a (^y.a))(c b)) 4. ==[ alpha ]==> ((a (^x.a))(c b)) REDUCED to normal form. ------ 11080/441012. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(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. ------ 11081/441021. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b c)) REDUCED to normal form. ------ 11082/441084. ------ 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)(^y.y))((a (^z.z)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 11083/441138. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a) a)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a) a)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a) a)) 5. ==[ beta ]==> ((a a)((^y.a) a)) 6. ==[ alpha ]==> ((a a)((^x.a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 11084/441165. ------ 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. ------ 11085/441219. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 11086/441255. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(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. ------ 11087/441309. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 11088/441345. ------ 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. ------ 11089/441372. ------ 1. ==[ start ]==> ((((a a) a) a)(b a)) REDUCED to normal form. ------ 11090/441390. ------ 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. ------ 11091/441417. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a)(^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. ------ 11092/441426. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 11093/441453. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a a)) 3. ==[ beta ]==> ((a (^y.(y y)))(a a)) 4. ==[ alpha ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 11094/443079. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a))) b) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y))) b) 3. ==[ beta ]==> ((a (^y.(y y))) b) 4. ==[ alpha ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 11095/443103. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11096/443169. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 11097/443184. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11098/443331. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.a))) REDUCED to normal form. ------ 11099/443346. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a) a)) 3. ==[ beta ]==> (^y.((^z.a) a)) 4. ==[ alpha ]==> (^x.((^y.a) a)) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 11100/443418. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)((^x1.x1) a))) 3. ==[ eta ]==> ((^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. ------ 11101/443589. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 11102/443763. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 11103/443898. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 11104/443913. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11105/444006. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(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)))) REDUCED to normal form. ------ 11106/444222. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 11107/444303. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 7. ==[ beta ]==> (^y.((^z.z) a)) 8. ==[ alpha ]==> (^x.((^y.y) a)) 9. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 11108/444393. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) a)((^y.y) 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. ------ 11109/444510. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 11110/444564. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.b)) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.b)) 5. ==[ beta ]==> (a (^z.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 11111/444627. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 11112/444681. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 11113/444708. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 11114/444738. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 11115/444747. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)(a (a a)))) 3. ==[ beta ]==> (a ((^y.a)(a (a a)))) 4. ==[ alpha ]==> (a ((^x.a)(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 11116/444765. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 11117/444774. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 11118/444801. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 11119/444819. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 11120/444828. ------ 1. ==[ start ]==> (((^a.a) b)((^c.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))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 11121/444855. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 11122/444882. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 11123/444909. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 11124/444936. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 11125/444981. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a) a)) 2. ==[ alpha ]==> ((a (^x.a))((^y.a) a)) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 11126/444999. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 11127/445026. ------ 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. ------ 11128/445053. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((a a)(a ((^y.y) a))) 6. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 11129/445098. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.(^z.z)))) REDUCED to normal form. ------ 11130/445143. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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 ((^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. ------ 11131/445152. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 11132/445170. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 11133/445179. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (^y1.y1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 11134/445206. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 11135/445224. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 11136/445314. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 11137/445395. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(^b.(^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. ------ 11138/445413. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11139/445440. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y)) b)) 3. ==[ beta ]==> ((a (a a))((^y.(y y)) b)) 4. ==[ alpha ]==> ((a (a a))((^x.(x x)) b)) 5. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 11140/445467. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a) c)) 3. ==[ beta ]==> ((^y.y)((^x1.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 11141/445476. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (^z.a))) REDUCED to normal form. ------ 11142/445503. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 11143/445530. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 11144/445548. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 11145/445638. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 11146/445683. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11147/445764. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1)) a)) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 7. ==[ beta ]==> ((^y.(y y)) a) 8. ==[ alpha ]==> ((^x.(x x)) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 11148/445827. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 11149/445854. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.(z z)))) REDUCED to normal form. ------ 11150/445881. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.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) REDUCED to normal form. ------ 11151/445899. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 11152/445908. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 11153/445935. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 11154/445998. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (a (^y.y)))) REDUCED to normal form. ------ 11155/446025. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a ((^z.z) a))) 3. ==[ beta ]==> ((a ((^y.y) a))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a ((^y.y) a))) 5. ==[ beta ]==> ((a a)(a ((^y.y) a))) 6. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 11156/446052. ------ 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. ------ 11157/446079. ------ 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. ------ 11158/446142. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 11159/446196. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a) b)) 5. ==[ beta ]==> (a ((a a) b)) REDUCED to normal form. ------ 11160/446232. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b (^z.z))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.z))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.y))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 11161/446259. ------ 1. ==[ start ]==> ((((a a) a) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 11162/446277. ------ 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. ------ 11163/446304. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a a) a)) 3. ==[ beta ]==> ((^y.y)((a a) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 11164/446313. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(^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. ------ 11165/446340. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a (^z.z))) 3. ==[ beta ]==> ((a (^y.(y y)))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 11166/446357. ------ 1. ==[ start ]==> (^a.((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (^x.((^y.(y y))((^z.z) x))) 3. ==[ beta ]==> (^x.(((^z.z) x)((^z.z) x))) 4. ==[ alpha ]==> (^x.(((^y.y) x)((^z.z) x))) 5. ==[ beta ]==> (^x.(x ((^z.z) x))) 6. ==[ alpha ]==> (^x.(x ((^y.y) x))) 7. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 11167/446358. ------ 1. ==[ start ]==> (a ((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (a ((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (a (((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (a (((^x.x) 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. ------ 11168/446613. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((z z) z))) 3. ==[ beta ]==> (^y.(^z.((z z) z))) 4. ==[ alpha ]==> (^x.(^y.((y y) y))) REDUCED to normal form. ------ 11169/447738. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.y))) 3. ==[ beta ]==> (((^y.(^z.y))(^y.(^z.y)))(^y.(^z.y))) 4. ==[ alpha ]==> (((^x.(^y.x))(^z.(^x1.z)))(^y1.(^z1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.z)))(^y1.(^z1.y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.y)))(^x1.(^y1.x1))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 11170/447993. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a)) a) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a)) a) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) 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. ------ 11171/447999. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 4. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 5. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 11172/448026. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((^y.a)(a (a a)))((^y.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.a)(a (a a)))((^y.a)(a (a a)))) 5. ==[ beta ]==> (a ((^y.a)(a (a a)))) 6. ==[ alpha ]==> (a ((^x.a)(a (a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 11173/448053. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 11174/448134. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.(^z1.z1)))(^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. ------ 11175/448251. ------ 1. ==[ start ]==> ((^a.(^b.a))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(a ((a a) a))) 3. ==[ beta ]==> (^y.(a ((a a) a))) 4. ==[ alpha ]==> (^x.(a ((a a) a))) REDUCED to normal form. ------ 11176/448254. ------ 1. ==[ start ]==> ((a (^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((y y) y))) REDUCED to normal form. ------ 11177/448542. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 11178/448593. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.(x1 x1))(^y1.(^z1.z1)))((^x2.(x2 x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.(x1 x1))(^y1.(^z1.z1)))((^x2.(x2 x2))(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.(y1 y1))(^z1.(^x2.x2)))((^y2.(y2 y2))(^z2.(^x3.x3))))) 7. ==[ beta ]==> ((^y.y)(((^y1.(y1 y1))(^z1.(^x2.x2)))((^y2.(y2 y2))(^z2.(^x3.x3))))) 8. ==[ alpha ]==> ((^x.x)(((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))) 9. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 10. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 11. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 13. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 14. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 15. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 16. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 17. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 18. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 19. ==[ beta ]==> (^y.y) 20. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11179/448686. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 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 ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11180/448911. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 11181/448920. ------ 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. ------ 11182/448944. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(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. ------ 11183/449037. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 (y1 y1)))) 5. ==[ beta ]==> ((^y.y)(^y1.(y1 (y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 7. ==[ beta ]==> (^y.(y (y y))) 8. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 11184/449298. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.a))) 5. ==[ beta ]==> ((a a)(^y.(^z.a))) 6. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 11185/449376. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (^y.a))) 3. ==[ beta ]==> (((a (^y.a))(a (^y.a)))(a (^y.a))) 4. ==[ alpha ]==> (((a (^x.a))(a (^y.a)))(a (^z.a))) REDUCED to normal form. ------ 11186/449379. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.x))) REDUCED to normal form. ------ 11187/449532. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.b)) 2. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 11188/449577. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.b)) 3. ==[ beta ]==> ((^y.y)(^y1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 11189/449586. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 11190/449613. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.a)) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.a)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.a)) REDUCED to normal form. ------ 11191/449631. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.z)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) 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)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 11192/449643. ------ 1. ==[ start ]==> ((a a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((a a)(a ((^y.y) a))) 6. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 11193/449661. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (a (((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (a (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (a (a (^y.(y y)))) 6. ==[ alpha ]==> (a (a (^x.(x x)))) REDUCED to normal form. ------ 11194/449670. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(a (a a)))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 11195/449688. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 11196/449697. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 11197/449742. ------ 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. ------ 11198/449769. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z)) b) 6. ==[ alpha ]==> (((^x.x)(^y.y)) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 11199/449778. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 11200/449796. ------ 1. ==[ start ]==> (((a a) b)((a (a a)) c)) REDUCED to normal form. ------ 11201/449868. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 11202/449895. ------ 1. ==[ start ]==> ((a (^b.a))(a ((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))(a ((a a) a))) REDUCED to normal form. ------ 11203/449931. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11204/449976. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 11205/450003. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a (a 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. ------ 11206/450066. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 11207/450093. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 11208/450120. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.a))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 11209/450156. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 11210/450183. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 11211/450210. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 11212/450228. ------ 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 a)) b)) REDUCED to normal form. ------ 11213/450237. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 11214/450273. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(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. ------ 11215/450327. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a ((^a.a)(^a.a)))) 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))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 11216/450336. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 11217/450354. ------ 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. ------ 11218/450363. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(b b)) REDUCED to normal form. ------ 11219/450381. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 11220/450390. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 11221/450435. ------ 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. ------ 11222/450480. ------ 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. ------ 11223/450507. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 11224/450534. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 11225/450552. ------ 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 b)((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((b b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 11226/450561. ------ 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. ------ 11227/450588. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^z.z))) 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. ------ 11228/450678. ------ 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))(^y.(^z.z)))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 11229/450687. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x)) a)) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 11230/450714. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a) b)) 3. ==[ beta ]==> (((^y.y) a)((^z.a) b)) 4. ==[ alpha ]==> (((^x.x) a)((^y.a) b)) 5. ==[ beta ]==> (a ((^y.a) b)) 6. ==[ alpha ]==> (a ((^x.a) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 11231/450732. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 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))) REDUCED to normal form. ------ 11232/450741. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 11233/450759. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 11234/450795. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) 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. ------ 11235/450822. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 11236/450849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 11237/450885. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 11238/450912. ------ 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.(^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. ------ 11239/450939. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 11240/450993. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 11241/451020. ------ 1. ==[ start ]==> ((a ((a a) a))(a (^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))(a (^x.a))) REDUCED to normal form. ------ 11242/451056. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 11243/451110. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (a a))) 5. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 11244/451146. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) a)) 5. ==[ beta ]==> (b ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 11245/451173. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a) b)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x) b)) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 11246/451191. ------ 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. ------ 11247/451218. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 11248/451227. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 11249/451254. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 11250/451272. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) 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)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 11251/451280. ------ 1. ==[ start ]==> (^a.((a (a a))(^b.a))) 2. ==[ alpha ]==> (^x.((x (x x))(^y.x))) REDUCED to normal form. ------ 11252/451281. ------ 1. ==[ start ]==> (a ((a (a a))(^b.a))) 2. ==[ alpha ]==> (a ((a (a a))(^x.a))) REDUCED to normal form. ------ 11253/451374. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.((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. ------ 11254/451536. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.a))) 4. ==[ alpha ]==> (^x.(^y.(^z.a))) REDUCED to normal form. ------ 11255/452103. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11256/452661. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.c)) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.c)) 3. ==[ beta ]==> (((^y.c)(^y.c))(^y.c)) 4. ==[ alpha ]==> (((^x.c)(^y.c))(^z.c)) 5. ==[ beta ]==> (c (^z.c)) 6. ==[ alpha ]==> (c (^x.c)) REDUCED to normal form. ------ 11257/452916. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a)) b) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a)) b) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) 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) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 11258/452925. ------ 1. ==[ start ]==> (((a (a a))(^b.a)) a) 2. ==[ alpha ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 11259/452931. ------ 1. ==[ start ]==> ((^a.a)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 3. ==[ beta ]==> ((a (a a))(^y.a)) 4. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 11260/452940. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11261/452958. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((((^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)))) 5. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.(x x)))(a (^z.(z z)))) 8. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 11262/452985. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 11263/453021. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11264/453024. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 11265/453066. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((((^z.z)(^x1.x1)) b)(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.z)) 5. ==[ beta ]==> (((^y.y) b)(^z.z)) 6. ==[ alpha ]==> (((^x.x) b)(^y.y)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 11266/453183. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(^c.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. ------ 11267/453186. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 11268/453426. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 11269/453525. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (a a)) b)) 3. ==[ beta ]==> (((a (a a)) b)(((a (a a)) b)((a (a a)) b))) REDUCED to normal form. ------ 11270/453618. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(^y1.y1)))) 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. ------ 11271/453627. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(^x.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 11272/453750. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11273/453753. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 11274/453876. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((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. ------ 11275/453969. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 11276/453978. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(x (x x)))) REDUCED to normal form. ------ 11277/454311. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.c)) 2. ==[ alpha ]==> ((a ((a a) a))(^x.c)) REDUCED to normal form. ------ 11278/454437. ------ 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. ------ 11279/454482. ------ 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. ------ 11280/454509. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(a a))) 3. ==[ beta ]==> ((^y.y)(^y1.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 11281/454518. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.b)) REDUCED to normal form. ------ 11282/454545. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(z z))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(z z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 11283/454563. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 11284/454572. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 11285/454584. ------ 1. ==[ start ]==> ((a a)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a a)((a (a a))(^x.a))) REDUCED to normal form. ------ 11286/454593. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 11287/454611. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))(a (^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))(a (^x.(x x)))) REDUCED to normal form. ------ 11288/454620. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 11289/454638. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 11290/454647. ------ 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)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 11291/454674. ------ 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. ------ 11292/454692. ------ 1. ==[ start ]==> (((a a)(a a))(((a a) a) a)) REDUCED to normal form. ------ 11293/454719. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y) b)) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 11294/454728. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^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. ------ 11295/454755. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 11296/454782. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 11297/454809. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 11298/454818. ------ 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))(^y.y))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 11299/454836. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(^c.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. ------ 11300/454872. ------ 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)(((^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. ------ 11301/454881. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 11302/454953. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 11303/454980. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 11304/455025. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11305/455079. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 11306/455097. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 11307/455124. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 11308/455151. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 11309/455178. ------ 1. ==[ start ]==> ((a (a (a a)))((a (a a)) b)) REDUCED to normal form. ------ 11310/455187. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 13. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 14. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11311/455214. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 11312/455250. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b (a (a a)))) 3. ==[ beta ]==> ((a b)(b (a (a a)))) REDUCED to normal form. ------ 11313/455268. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)(^b.(^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. ------ 11314/455277. ------ 1. ==[ start ]==> (((a (a a)) a)(a ((^a.a)(^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. ------ 11315/455304. ------ 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. ------ 11316/455331. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (a (^z.z)))) REDUCED to normal form. ------ 11317/455358. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 11318/455376. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.(x x)))) REDUCED to normal form. ------ 11319/455385. ------ 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. ------ 11320/455403. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 11321/455421. ------ 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. ------ 11322/455448. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(^z.z)))) REDUCED to normal form. ------ 11323/455475. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 11324/455502. ------ 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. ------ 11325/455529. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 11326/455538. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 11327/455565. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 11328/455619. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(z1 z1)))) 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. ------ 11329/455628. ------ 1. ==[ start ]==> (((a (a a)) b)(a (a (a a)))) REDUCED to normal form. ------ 11330/455655. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 11331/455682. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 11332/455700. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b (^z.a))) 3. ==[ beta ]==> ((^y.y)(b (^z.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 11333/455709. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a) a)) REDUCED to normal form. ------ 11334/455754. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 11335/455790. ------ 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. ------ 11336/455826. ------ 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)(^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. ------ 11337/455853. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y)) b)) REDUCED to normal form. ------ 11338/455907. ------ 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. ------ 11339/455934. ------ 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)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 11340/455997. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11341/456051. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 11342/456087. ------ 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. ------ 11343/456114. ------ 1. ==[ start ]==> ((((a a) a) a)((a a)(a a))) REDUCED to normal form. ------ 11344/456132. ------ 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. ------ 11345/456159. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a)(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. ------ 11346/456168. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 11347/456195. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a (a a))) 3. ==[ beta ]==> ((a (^y.(y y)))(a (a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (a a))) REDUCED to normal form. ------ 11348/456213. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a (^z.z))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a (^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (^z.z))) 5. ==[ beta ]==> ((a ((^y.y) a))(a (^z.z))) 6. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.y))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 11349/456222. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 11350/457875. ------ 1. ==[ start ]==> (((a (a a))(^b.a)) b) 2. ==[ alpha ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 11351/457899. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 11352/457992. ------ 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. ------ 11353/458163. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((y y) y))) REDUCED to normal form. ------ 11354/458214. ------ 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. ------ 11355/458316. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 11356/458385. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 11357/458586. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 11358/458937. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 11359/459045. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 11360/459216. ------ 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. ------ 11361/459267. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((a a)(a (^x.x)))((a a)(a (^y.y))))((a a)(a (^z.z)))) REDUCED to normal form. ------ 11362/459396. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 11363/459441. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.y)) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 11364/459477. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 11365/459504. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 11366/459522. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.a)) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.a)) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 11367/459531. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 11368/459561. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 11369/459570. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (a ((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (a ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (a (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (a (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (a (a ((^y.y) a))) 8. ==[ alpha ]==> (a (a ((^x.x) a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 11370/459588. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(x1 x1)))) 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. ------ 11371/459597. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 11372/459615. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 11373/459624. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 11374/459651. ------ 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))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 11375/459696. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11376/459705. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 11377/459732. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 11378/459759. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 11379/459786. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 11380/459822. ------ 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. ------ 11381/459849. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 11382/459876. ------ 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. ------ 11383/459885. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z)) c)) 3. ==[ beta ]==> ((^y.a)((^z.(z z)) c)) 4. ==[ alpha ]==> ((^x.a)((^y.(y y)) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 11384/459921. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.(y y)))) REDUCED to normal form. ------ 11385/459948. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 11386/459975. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 11387/459993. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(^y1.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. ------ 11388/460002. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 11389/460029. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 11390/460047. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 11391/460137. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 11392/460155. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a)) b)) 3. ==[ beta ]==> ((^y.(y y))((a (a a)) b)) 4. ==[ alpha ]==> ((^x.(x x))((a (a a)) b)) 5. ==[ beta ]==> (((a (a a)) b)((a (a a)) b)) REDUCED to normal form. ------ 11393/460182. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^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. ------ 11394/460218. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^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. ------ 11395/460245. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)(^b.(^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. ------ 11396/460263. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 11397/460290. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 11398/460353. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 11399/460461. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 11400/460506. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 11401/460533. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 5. ==[ beta ]==> (((^y.y) a) b) 6. ==[ alpha ]==> (((^x.x) a) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 11402/460596. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(y y))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(x x))) REDUCED to normal form. ------ 11403/460641. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) b)) 5. ==[ beta ]==> ((^y.y)((^z.a) b)) 6. ==[ alpha ]==> ((^x.x)((^y.a) b)) 7. ==[ beta ]==> ((^y.a) b) 8. ==[ alpha ]==> ((^x.a) b) 9. ==[ beta ]==> a REDUCED to normal form. ------ 11404/460650. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 11405/460677. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.a))) REDUCED to normal form. ------ 11406/460704. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.a))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 11407/460722. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) 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. ------ 11408/460731. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 11409/460758. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11410/460848. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) a))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b (a (^y.y)))) 5. ==[ beta ]==> ((a a)(b (a (^y.y)))) 6. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 11411/460875. ------ 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. ------ 11412/460902. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.z))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(a a))) 5. ==[ beta ]==> ((a a)((a (^y.y))(a a))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 11413/460929. ------ 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. ------ 11414/460965. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(^a.a))) 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. ------ 11415/461019. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z)) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z)) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z)) a)) 5. ==[ beta ]==> (a ((a (^z.z)) a)) 6. ==[ alpha ]==> (a ((a (^x.x)) a)) REDUCED to normal form. ------ 11416/461055. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 11417/461082. ------ 1. ==[ start ]==> ((((a a) a) a)(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)(b (^x.x))) REDUCED to normal form. ------ 11418/461100. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y) b)) 3. ==[ beta ]==> (((a a) a)((^y.y) b)) 4. ==[ alpha ]==> (((a a) a)((^x.x) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 11419/461127. ------ 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)((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. ------ 11420/461136. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 11421/461163. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)(^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. ------ 11422/461181. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z) a)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 11423/461190. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.y))) REDUCED to normal form. ------ 11424/461207. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(x (^x1.x1)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11425/461208. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 11426/462030. ------ 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. ------ 11427/462156. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 11428/462852. ------ 1. ==[ start ]==> (((a (a a))(^b.a)) c) 2. ==[ alpha ]==> (((a (a a))(^x.a)) c) REDUCED to normal form. ------ 11429/462876. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11430/462903. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((^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))) 5. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))((^x1.x1) a))) 7. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))((^x1.x1) a))) 8. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((^z.z) a))) 9. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) a))) 10. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) a))) 11. ==[ beta ]==> ((a a)(((^y.y) a)((^y.y) a))) 12. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 13. ==[ beta ]==> ((a a)(a ((^y.y) a))) 14. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 15. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 11431/462930. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 11432/462978. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 11433/462987. ------ 1. ==[ start ]==> (((a a)(a a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)(a a))(^x.((a a) a))) REDUCED to normal form. ------ 11434/463128. ------ 1. ==[ start ]==> ((^a.(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (^x.(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (^x.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 11435/463149. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 11436/463446. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^x.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 11437/463470. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))(^a.a))) 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. ------ 11438/463590. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^x.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 11439/463695. ------ 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. ------ 11440/463698. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 11441/463716. ------ 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. ------ 11442/463821. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 11443/463824. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 11444/463923. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.d)) 2. ==[ alpha ]==> (((a (a a)) b)(^x.d)) REDUCED to normal form. ------ 11445/464121. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 11446/464202. ------ 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. ------ 11447/464253. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((b (^y.(^z.z)))(b (^y.(^z.z))))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((b (^x.(^y.y)))(b (^z.(^x1.x1))))(b (^y1.(^z1.z1)))) REDUCED to normal form. ------ 11448/464346. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.c)) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.c)) 5. ==[ beta ]==> (a (^z.c)) 6. ==[ alpha ]==> (a (^x.c)) REDUCED to normal form. ------ 11449/464382. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.b)) 3. ==[ beta ]==> (((^y.y) b)(^z.b)) 4. ==[ alpha ]==> (((^x.x) b)(^y.b)) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 11450/464463. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 11451/464508. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(z z))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(z z))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(z z))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(z z))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 11452/464517. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.a)) REDUCED to normal form. ------ 11453/464547. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 11454/464565. ------ 1. ==[ start ]==> (((^a.a) a)((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.a))) 3. ==[ beta ]==> (a ((a (a a))(^y.a))) 4. ==[ alpha ]==> (a ((a (a a))(^x.a))) REDUCED to normal form. ------ 11455/464574. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(a ((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))(a ((^x.x) a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 11456/464592. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)(a (^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)(a (^x.(x x)))) REDUCED to normal form. ------ 11457/464601. ------ 1. ==[ start ]==> ((a b)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a b)((^x.a)(a (a a)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 11458/464619. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 11459/464646. ------ 1. ==[ start ]==> (((^a.a) b)((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.x) b)((a a)(^y.a))) 3. ==[ beta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 11460/464655. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 11461/464673. ------ 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 a) a) a)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 11462/464700. ------ 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. ------ 11463/464799. ------ 1. ==[ start ]==> ((a (^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.a))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.y))) REDUCED to normal form. ------ 11464/464835. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 11465/464880. ------ 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. ------ 11466/464907. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1) 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. ------ 11467/464961. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (a ((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 11468/464997. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 11469/465024. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 11470/465060. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 11471/465087. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 11472/465114. ------ 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))((^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. ------ 11473/465132. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 11474/465141. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))(^a.a))) 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. ------ 11475/465231. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (a (a a)))) 5. ==[ beta ]==> ((^y.y)(b (a (a a)))) 6. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 11476/465258. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 11477/465267. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 11478/465285. ------ 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. ------ 11479/465294. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(b b)) REDUCED to normal form. ------ 11480/465321. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) c)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 11481/465339. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))((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. ------ 11482/465366. ------ 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. ------ 11483/465384. ------ 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. ------ 11484/465411. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(a a))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 11485/465438. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 11486/465456. ------ 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 b)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 11487/465465. ------ 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. ------ 11488/465492. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^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. ------ 11489/465582. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)(b ((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 11490/465618. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y)) a)) 5. ==[ beta ]==> (a ((^y.(y y)) a)) 6. ==[ alpha ]==> (a ((^x.(x x)) a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 11491/465636. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(a a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a a))) 7. ==[ beta ]==> (((^y.y) a)(a a)) 8. ==[ alpha ]==> (((^x.x) a)(a a)) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 11492/465645. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 11493/465663. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 11494/465726. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 11495/465753. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 11496/465789. ------ 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)(^y.y))((^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. ------ 11497/465816. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 11498/465843. ------ 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.(^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. ------ 11499/465870. ------ 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. ------ 11500/465924. ------ 1. ==[ start ]==> ((a ((a a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 11501/465960. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c a)) 3. ==[ beta ]==> ((^y.y)(c a)) 4. ==[ alpha ]==> ((^x.x)(c a)) 5. ==[ beta ]==> (c a) REDUCED to normal form. ------ 11502/466014. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a c)) 3. ==[ beta ]==> (((^y.a)(^y.a))(a c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a c)) 5. ==[ beta ]==> (a (a c)) REDUCED to normal form. ------ 11503/466050. ------ 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. ------ 11504/466077. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y)) a)) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 11505/466095. ------ 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. ------ 11506/466122. ------ 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)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 11507/466131. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 11508/466158. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((a a) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a) a)) REDUCED to normal form. ------ 11509/466176. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a (a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) 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. ------ 11510/466185. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y) a)) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 11511/466211. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^x.((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 11512/466212. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 11513/467883. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a))) a) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1))) a) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1))) a) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) a) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11514/467889. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11515/467898. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11516/467916. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.a))) 3. ==[ beta ]==> (((a (a a))(^y.a))((a (a a))(^y.a))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 11517/467943. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 11518/467979. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11519/468024. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.(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. ------ 11520/468141. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11521/468180. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.((z z) z))) 3. ==[ beta ]==> ((^y.y)(^z.((z z) z))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 11522/468213. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1)) b)) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11523/468315. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 11524/468384. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 11525/468483. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((((^z.z)(^x1.x1)) a)(((^y1.y1)(^z1.z1)) a))) 5. ==[ beta ]==> (((^y.y) a)((((^z.z)(^x1.x1)) a)(((^y1.y1)(^z1.z1)) a))) 6. ==[ alpha ]==> (((^x.x) a)((((^y.y)(^z.z)) a)(((^x1.x1)(^y1.y1)) a))) 7. ==[ beta ]==> (a ((((^y.y)(^z.z)) a)(((^x1.x1)(^y1.y1)) a))) 8. ==[ alpha ]==> (a ((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1)) a))) 9. ==[ beta ]==> (a (((^y.y) a)(((^z.z)(^x1.x1)) a))) 10. ==[ alpha ]==> (a (((^x.x) 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 ((^y.y) a))) 14. ==[ alpha ]==> (a (a ((^x.x) a))) 15. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 11526/468603. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(^b.(^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. ------ 11527/468612. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 11528/468708. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11529/468834. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11530/468846. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(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. ------ 11531/468963. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(y (y y)))) 5. ==[ beta ]==> (a (^y.(y (y y)))) 6. ==[ alpha ]==> (a (^x.(x (x x)))) REDUCED to normal form. ------ 11532/469044. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 11533/469062. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 11534/469266. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((^y.(^z.z)) b)((^y.(^z.z)) b))((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((((^x.(^y.y)) b)((^z.(^x1.x1)) b))((^y1.(^z1.z1)) b)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) b))((^y1.(^z1.z1)) b)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) b))((^x1.(^y1.y1)) b)) 7. ==[ beta ]==> (((^y.(^z.z)) b)((^x1.(^y1.y1)) b)) 8. ==[ alpha ]==> (((^x.(^y.y)) b)((^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 ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11535/469305. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 11536/469359. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (a (^z.(a (^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(a (^y.y)))) REDUCED to normal form. ------ 11537/469422. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 11538/469467. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 11539/469503. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.b)) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.b)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.b)) REDUCED to normal form. ------ 11540/469521. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 11541/469530. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(y y))) REDUCED to normal form. ------ 11542/469557. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.y1)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11543/469569. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^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. ------ 11544/469578. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 11545/469596. ------ 1. ==[ start ]==> ((a (a a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a (a a))((a (a a))(^x.a))) REDUCED to normal form. ------ 11546/469605. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))((^a.a) 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. ------ 11547/469623. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> ((a b)(a (^y.(y y)))) 4. ==[ alpha ]==> ((a b)(a (^x.(x x)))) REDUCED to normal form. ------ 11548/469632. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)(a (a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 11549/469659. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^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. ------ 11550/469704. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a) a)) REDUCED to normal form. ------ 11551/469740. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 11552/469767. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a (^x.x))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 11553/469794. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 11554/469821. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 11555/469857. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a ((a a) a))) 3. ==[ beta ]==> ((^y.y)(a ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 11556/469893. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 11557/469938. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) 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. ------ 11558/469965. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))(a (a a)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 11559/469983. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.(^z.z)))) 5. ==[ beta ]==> (a (b (^y.(^z.z)))) 6. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 11560/469992. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 11561/470064. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 11562/470082. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(a (^y.a))) 6. ==[ alpha ]==> (((a a) a)(a (^x.a))) REDUCED to normal form. ------ 11563/470109. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 11564/470136. ------ 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. ------ 11565/470163. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> ((a (a (a a)))((^y.y) a)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x) a)) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 11566/470172. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11567/470199. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11568/470235. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c ((^y.y) a))) 3. ==[ beta ]==> ((a b)(c ((^y.y) a))) 4. ==[ alpha ]==> ((a b)(c ((^x.x) a))) 5. ==[ beta ]==> ((a b)(c a)) REDUCED to normal form. ------ 11569/470253. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 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. ------ 11570/470262. ------ 1. ==[ start ]==> (((a (a a)) a)(b (a (a a)))) REDUCED to normal form. ------ 11571/470280. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 11572/470289. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.y)(^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. ------ 11573/470316. ------ 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. ------ 11574/470343. ------ 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. ------ 11575/470370. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 11576/470388. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 11577/470433. ------ 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 (^x.x)) a)((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))(^y.y))) REDUCED to normal form. ------ 11578/470460. ------ 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. ------ 11579/470478. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c c)) 2. ==[ alpha ]==> (((^x.(x x)) b)(c c)) 3. ==[ beta ]==> ((b b)(c c)) REDUCED to normal form. ------ 11580/470487. ------ 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. ------ 11581/470514. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 11582/470523. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11583/470550. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11584/470604. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^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. ------ 11585/470613. ------ 1. ==[ start ]==> (((a (a a)) b)(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(b ((^x.x) a))) 3. ==[ beta ]==> (((a (a a)) b)(b a)) REDUCED to normal form. ------ 11586/470640. ------ 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. ------ 11587/470667. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 11588/470694. ------ 1. ==[ start ]==> (((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.x1)))) REDUCED to normal form. ------ 11589/470721. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.a))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.a))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.a))((a a) a)) REDUCED to normal form. ------ 11590/470739. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 11591/470811. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 11592/470838. ------ 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. ------ 11593/470865. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z)) b)) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z)) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y)) b)) 5. ==[ beta ]==> ((a a)((a (^y.y)) b)) 6. ==[ alpha ]==> ((a a)((a (^x.x)) b)) REDUCED to normal form. ------ 11594/470919. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 11595/470946. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 11596/470982. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.a))) 3. ==[ beta ]==> ((^y.y)(a (^y1.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 11597/471036. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (a ((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 11598/471072. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b (a a))) 3. ==[ beta ]==> (((^y.y) b)(b (a a))) 4. ==[ alpha ]==> (((^x.x) b)(b (a a))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 11599/471099. ------ 1. ==[ start ]==> ((((a a) a) a)(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(a (a (^x.x)))) REDUCED to normal form. ------ 11600/471117. ------ 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. ------ 11601/471144. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 11602/471153. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b a)) REDUCED to normal form. ------ 11603/471180. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a b)) 3. ==[ beta ]==> ((a (^y.(y y)))(a b)) 4. ==[ alpha ]==> ((a (^x.(x x)))(a b)) REDUCED to normal form. ------ 11604/471198. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)(^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. ------ 11605/471207. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (a a))) REDUCED to normal form. ------ 11606/471234. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a a)) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11607/472914. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a))) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1))) b) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) b) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11608/472938. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11609/473019. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11610/473058. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 11611/473220. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 11612/473229. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((y y) y))) REDUCED to normal form. ------ 11613/473253. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))(a a))) 3. ==[ eta ]==> ((^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. ------ 11614/473424. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 11615/473517. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(^x.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 11616/473652. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 11617/473886. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11618/474003. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(z z)))) 5. ==[ beta ]==> (a (^y.(^z.(z z)))) 6. ==[ alpha ]==> (a (^x.(^y.(y y)))) REDUCED to normal form. ------ 11619/474111. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 11620/474282. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(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. ------ 11621/474306. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))(a a))) 3. ==[ beta ]==> ((((a (^y.y))(a a))((a (^y.y))(a a)))((a (^y.y))(a a))) 4. ==[ alpha ]==> ((((a (^x.x))(a a))((a (^y.y))(a a)))((a (^z.z))(a a))) REDUCED to normal form. ------ 11622/474345. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.c)) 3. ==[ beta ]==> ((^y.y)(^y1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 11623/474399. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 11624/474462. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 11625/474507. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.y1)) 3. ==[ beta ]==> ((^y.y)(^y1.y1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11626/474516. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 11627/474543. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 11628/474570. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 11629/474597. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11630/474627. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))((^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. ------ 11631/474636. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (a ((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 11632/474654. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((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. ------ 11633/474663. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(a ((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)(a ((^x.x) a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 11634/474681. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(a (^y.(y y)))) 6. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 11635/474690. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 11636/474708. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 11637/474717. ------ 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)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 11638/474744. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 11639/474762. ------ 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. ------ 11640/474771. ------ 1. ==[ start ]==> (((a a) b)((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 11641/474789. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z)) b) 6. ==[ alpha ]==> (((^x.x)(^y.y)) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 11642/474798. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 11643/474825. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 11644/474852. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 11645/474888. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b ((^y.y)(^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. ------ 11646/474906. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)(^c.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. ------ 11647/474915. ------ 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. ------ 11648/474942. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^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)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 11649/474951. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 11650/475041. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 11651/475095. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^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. ------ 11652/475113. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 11653/475203. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)((^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. ------ 11654/475221. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((((^y.y)(^z.z)) a)(((^y.y)(^z.z)) a)) 6. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1)) a)) 7. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1)) a)) 8. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z)) a)) 9. ==[ beta ]==> (a (((^y.y)(^z.z)) a)) 10. ==[ alpha ]==> (a (((^x.x)(^y.y)) a)) 11. ==[ beta ]==> (a ((^y.y) a)) 12. ==[ alpha ]==> (a ((^x.x) a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 11655/475248. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (a a)) b)) 3. ==[ beta ]==> ((^y.y)((a (a a)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 11656/475284. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 11657/475311. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 11658/475338. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(^b.(^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. ------ 11659/475356. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 11660/475410. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 11661/475455. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 11662/475527. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.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) REDUCED to normal form. ------ 11663/475572. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11664/475599. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 11665/475662. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 11666/475689. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 11667/475707. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(z z)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 7. ==[ beta ]==> ((^y.(y y)) a) 8. ==[ alpha ]==> ((^x.(x x)) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 11668/475734. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a) b)) 3. ==[ beta ]==> ((^y.y)((^z.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 11669/475770. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b (^z.a))) 3. ==[ beta ]==> ((a (^y.a))(b (^z.a))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.a))) REDUCED to normal form. ------ 11670/475797. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 11671/475824. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a a))) 5. ==[ beta ]==> ((^y.y)((^z.a)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 7. ==[ beta ]==> ((^y.a)(a a)) 8. ==[ alpha ]==> ((^x.a)(a a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 11672/475860. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b c)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b c)) 3. ==[ beta ]==> (((a a)(^y.y))(b c)) 4. ==[ alpha ]==> (((a a)(^x.x))(b c)) REDUCED to normal form. ------ 11673/475941. ------ 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. ------ 11674/475968. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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. ------ 11675/475995. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(a a))) REDUCED to normal form. ------ 11676/476031. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a) 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. ------ 11677/476085. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 11678/476121. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 11679/476148. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)(^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. ------ 11680/476166. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 11681/476193. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1) b)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 11682/476202. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 11683/476229. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 11684/476247. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a a) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) 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. ------ 11685/476256. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(^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. ------ 11686/476283. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11687/476439. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> ((^z.((a a) a))(^y.y)) 4. ==[ alpha ]==> ((^x.((a a) a))(^y.y)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 11688/476898. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.((^a.a)(^a.a)))) 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)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11689/478023. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11690/478050. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 11691/478131. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> (((^z.z)((a a) a))(^y.y)) 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. ------ 11692/478134. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 11693/478248. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (a (a a)))) 3. ==[ beta ]==> (^y.(c (a (a a)))) 4. ==[ alpha ]==> (^x.(c (a (a a)))) REDUCED to normal form. ------ 11694/478296. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.a))) REDUCED to normal form. ------ 11695/478590. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)((^y1.y1)(^z1.z1)))((^x2.x2)((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)((^y1.y1)(^z1.z1)))((^x2.x2)((^y2.y2)(^z2.z2))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)((^x1.x1)(^y1.y1)))((^z1.z1)((^x2.x2)(^y2.y2))))) 7. ==[ beta ]==> ((^y.y)(((^z.z)((^x1.x1)(^y1.y1)))((^z1.z1)((^x2.x2)(^y2.y2))))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2))))) 9. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 10. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 11. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 12. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 13. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(^y1.y1)))) 14. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 15. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 16. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 17. ==[ beta ]==> ((^y.y)(^z.z)) 18. ==[ alpha ]==> ((^x.x)(^y.y)) 19. ==[ beta ]==> (^y.y) 20. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11696/478593. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(^x.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 11697/478737. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^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. ------ 11698/478815. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11699/478863. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 11700/478941. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 11701/479088. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z (z z)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 7. ==[ beta ]==> (^y.(y (y y))) 8. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 11702/479268. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^y.a)) REDUCED to normal form. ------ 11703/479349. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.a))) 5. ==[ beta ]==> ((a a)(^y.(^z.a))) 6. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 11704/479412. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(a (^a.a)))) 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))) REDUCED to normal form. ------ 11705/479547. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a a) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 11706/479583. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 11707/479628. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.b)) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.b)) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.b)) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 11708/479637. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.a)) REDUCED to normal form. ------ 11709/479664. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 11710/479712. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(^x1.x1)))) 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. ------ 11711/479721. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 11712/479739. ------ 1. ==[ start ]==> (((a a) a)((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a) a)((a (a a))(^x.a))) REDUCED to normal form. ------ 11713/479748. ------ 1. ==[ start ]==> ((a b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a b)((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((a b)(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> ((a b)(((^x.x) 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. ------ 11714/479766. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 11715/479793. ------ 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. ------ 11716/479802. ------ 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))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 11717/479829. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a (a (^x.x)))((a a) a)) REDUCED to normal form. ------ 11718/479847. ------ 1. ==[ start ]==> (((a a) b)(((a a) a) a)) REDUCED to normal form. ------ 11719/479874. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) b)) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 11720/479946. ------ 1. ==[ start ]==> ((a (^b.a))(c (a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))(c (a (a a)))) REDUCED to normal form. ------ 11721/479964. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 11722/480027. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 11723/480054. ------ 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. ------ 11724/480063. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y)) c)) 3. ==[ beta ]==> (((a (^x.x)) b)(c c)) REDUCED to normal form. ------ 11725/480108. ------ 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. ------ 11726/480135. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)((^x1.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. ------ 11727/480171. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(^a.a))(^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 (^x.x))((^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. ------ 11728/480207. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 11729/480234. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 11730/480261. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 11731/480279. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 11732/480288. ------ 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)))((^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. ------ 11733/480360. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a) c)) 3. ==[ beta ]==> ((a b)(((^y.y) a) c)) 4. ==[ alpha ]==> ((a b)(((^x.x) a) c)) 5. ==[ beta ]==> ((a b)(a c)) REDUCED to normal form. ------ 11734/480405. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b (a (a a)))) 3. ==[ beta ]==> ((a (a a))(b (a (a a)))) REDUCED to normal form. ------ 11735/480432. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a ((^a.a)(^a.a)))) 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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 11736/480441. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 11737/480468. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z)) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 11738/480486. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a 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. ------ 11739/480495. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a) c)) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 11740/480513. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 11741/480531. ------ 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. ------ 11742/480558. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(^z.z)))) REDUCED to normal form. ------ 11743/480585. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a (a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 11744/480603. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 11745/480612. ------ 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. ------ 11746/480639. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 11747/480738. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x)) c)) REDUCED to normal form. ------ 11748/480783. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 11749/480792. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 11750/480810. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a a))) 5. ==[ beta ]==> (((^y.y) a)(a a)) 6. ==[ alpha ]==> (((^x.x) a)(a a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 11751/480819. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 11752/480846. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 11753/480864. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 11754/480900. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 11755/480936. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 11756/480963. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 11757/480990. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 11758/481017. ------ 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. ------ 11759/481044. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 11760/481107. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 11761/481161. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b b)) 3. ==[ beta ]==> (((^y.a)(^y.a))(b b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b b)) 5. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 11762/481197. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z)) a)) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z)) a)) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y)) a)) 5. ==[ beta ]==> (b ((a (^y.y)) a)) 6. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 11763/481224. ------ 1. ==[ start ]==> ((((a a) a) a)((a a) b)) REDUCED to normal form. ------ 11764/481242. ------ 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. ------ 11765/481269. ------ 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)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 11766/481278. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a) 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. ------ 11767/481305. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)(^z.z))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 11768/481323. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a b)) 5. ==[ beta ]==> ((a ((^y.y) a))(a b)) 6. ==[ alpha ]==> ((a ((^x.x) a))(a b)) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 11769/481332. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a a) a)) REDUCED to normal form. ------ 11770/481359. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 11771/481385. ------ 1. ==[ start ]==> (^a.(((a a) a)(^a.a))) 2. ==[ alpha ]==> (^x.(((x x) x)(^y.y))) REDUCED to normal form. ------ 11772/481386. ------ 1. ==[ start ]==> (a (((a a) a)(^a.a))) 2. ==[ alpha ]==> (a (((a a) a)(^x.x))) REDUCED to normal form. ------ 11773/483084. ------ 1. ==[ start ]==> ((((a a) a)(^a.a)) a) 2. ==[ alpha ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 11774/483090. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 11775/483117. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^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)))) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 7. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 8. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11776/483144. ------ 1. ==[ start ]==> ((^a.b)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.b)((a (a a))(^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 11777/483180. ------ 1. ==[ start ]==> ((^a.(^a.(^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. ------ 11778/483237. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.((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. ------ 11779/483342. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 11780/483585. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 11781/483684. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a)(^y.(^z.z)))((a a)(^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.(^x1.x1)))((a a)(^y1.(^z1.z1))))) REDUCED to normal form. ------ 11782/483696. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.((^z.z)(^x1.x1)))(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11783/483831. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 11784/483840. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 11785/483909. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11786/484035. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11787/484074. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 11788/484182. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 11789/484191. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 11790/484467. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a) a)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a) a)) 3. ==[ beta ]==> ((((^y.a) a)((^y.a) a))((^y.a) a)) 4. ==[ alpha ]==> ((((^x.a) a)((^y.a) a))((^z.a) a)) 5. ==[ beta ]==> ((a ((^y.a) a))((^z.a) a)) 6. ==[ alpha ]==> ((a ((^x.a) a))((^y.a) a)) 7. ==[ beta ]==> ((a a)((^y.a) a)) 8. ==[ alpha ]==> ((a a)((^x.a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 11791/484596. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.c)) 3. ==[ beta ]==> (((^y.y) b)(^z.c)) 4. ==[ alpha ]==> (((^x.x) b)(^y.c)) 5. ==[ beta ]==> (b (^y.c)) 6. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 11792/484641. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(^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. ------ 11793/484677. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 11794/484722. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(a a))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 11795/484731. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.b)) REDUCED to normal form. ------ 11796/484758. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 11797/484785. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 11798/484797. ------ 1. ==[ start ]==> ((a a)(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 11799/484824. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 11800/484833. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11801/484851. ------ 1. ==[ start ]==> ((a b)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a b)((a (a a))(^x.a))) REDUCED to normal form. ------ 11802/484860. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((a a)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((a a)(a ((^y.y) a))) 8. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 11803/484887. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 11804/484905. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 11805/484941. ------ 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 ]==> ((^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. ------ 11806/484995. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^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. ------ 11807/485022. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 11808/485049. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 11809/485085. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(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. ------ 11810/485166. ------ 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. ------ 11811/485193. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((a a)(a ((^y.y) a))) 6. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 11812/485220. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 11813/485238. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 11814/485247. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 11815/485292. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 11816/485310. ------ 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. ------ 11817/485337. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.a))) REDUCED to normal form. ------ 11818/485364. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 11819/485391. ------ 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. ------ 11820/485400. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y.y)((^z.z)(^x1.x1)))) 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. ------ 11821/485427. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 11822/485481. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.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. ------ 11823/485508. ------ 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)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 11824/485517. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (a (a a)))) REDUCED to normal form. ------ 11825/485535. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(^b.(^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. ------ 11826/485544. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.z))) REDUCED to normal form. ------ 11827/485571. ------ 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. ------ 11828/485598. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 11829/485616. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 11830/485688. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (a a))(^z.z))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 11831/485715. ------ 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. ------ 11832/485742. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 11833/485751. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11834/485778. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 11835/485832. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 11836/485841. ------ 1. ==[ start ]==> (((a (a a)) b)(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(c (a (^x.x)))) REDUCED to normal form. ------ 11837/485868. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b ((^z.z) a))) 3. ==[ beta ]==> (((^y.y) a)(b ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) a)(b ((^y.y) a))) 5. ==[ beta ]==> (a (b ((^y.y) a))) 6. ==[ alpha ]==> (a (b ((^x.x) a))) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 11838/485886. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 11839/485895. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 11840/485922. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (a a))) REDUCED to normal form. ------ 11841/485949. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 11842/485967. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b (^z.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b (^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.a))) REDUCED to normal form. ------ 11843/485976. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 11844/486039. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 11845/486066. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)(^y.a))) REDUCED to normal form. ------ 11846/486093. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) 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)) 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. ------ 11847/486120. ------ 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. ------ 11848/486174. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a) a)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a) a)) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 11849/486210. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 11850/486264. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 11851/486300. ------ 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. ------ 11852/486327. ------ 1. ==[ start ]==> ((((a a) a) a)(b (a a))) REDUCED to normal form. ------ 11853/486345. ------ 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)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 11854/486372. ------ 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)(b (^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 11855/486381. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 11856/486408. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b a)) 3. ==[ beta ]==> ((a (^y.(y y)))(b a)) 4. ==[ alpha ]==> ((a (^x.(x x)))(b a)) REDUCED to normal form. ------ 11857/486426. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)(a a))) 3. ==[ beta ]==> ((((^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. ------ 11858/486435. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a b)) REDUCED to normal form. ------ 11859/486462. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 11860/486489. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 11861/486825. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((z z) z))) 3. ==[ eta ]==> ((^y.y)(^z.((z z) z))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 11862/487878. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.((^z.z) y))) 3. ==[ eta ]==> ((^x.((x x) x))(^z.z)) 4. ==[ alpha ]==> ((^x.((x x) x))(^y.y)) 5. ==[ beta ]==> (((^y.y)(^y.y))(^y.y)) 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. ------ 11863/488196. ------ 1. ==[ start ]==> ((((a a) a)(^a.a)) b) 2. ==[ alpha ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 11864/488220. ------ 1. ==[ start ]==> ((^a.(^a.a))(((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. ------ 11865/488301. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11866/488367. ------ 1. ==[ start ]==> (((a a) b)(^b.((a a) a))) 2. ==[ alpha ]==> (((a a) b)(^x.((a a) a))) REDUCED to normal form. ------ 11867/488535. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a ((a a) a))) 3. ==[ eta ]==> ((^y.y)(a ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 11868/488538. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.((y y) y))) 3. ==[ beta ]==> ((a a)(^y.((y y) y))) 4. ==[ alpha ]==> ((a a)(^x.((x x) x))) REDUCED to normal form. ------ 11869/488706. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 11870/488961. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 11871/489030. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11872/489312. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 11873/489420. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 11874/489588. ------ 1. ==[ start ]==> ((^a.((a a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))(a ((^y.y) a))) 3. ==[ beta ]==> (((a ((^y.y) a))(a ((^y.y) a)))(a ((^y.y) a))) 4. ==[ alpha ]==> (((a ((^x.x) 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. ------ 11875/489591. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.((^a.a) a))) 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. ------ 11876/489717. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(a (^z.z)))) 5. ==[ beta ]==> (b (^y.(a (^z.z)))) 6. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 11877/489825. ------ 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)))) REDUCED to normal form. ------ 11878/489852. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(a a))) REDUCED to normal form. ------ 11879/489879. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11880/489906. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 11881/489920. ------ 1. ==[ start ]==> (^a.(^a.(^a.b))) 2. ==[ alpha ]==> (^x.(^y.(^z.b))) REDUCED to normal form. ------ 11882/489921. ------ 1. ==[ start ]==> (a (^a.(^a.b))) 2. ==[ alpha ]==> (a (^x.(^y.b))) REDUCED to normal form. ------ 11883/489936. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 11884/489963. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11885/489972. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 11886/489990. ------ 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. ------ 11887/489999. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x))(((^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. ------ 11888/490017. ------ 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. ------ 11889/490026. ------ 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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 11890/490053. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 11891/490080. ------ 1. ==[ start ]==> (((a a) b)((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.x)((a a) a))) 3. ==[ beta ]==> (((a a) b)((a a) a)) REDUCED to normal form. ------ 11892/490098. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((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. ------ 11893/490125. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.x))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 11894/490134. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 11895/490161. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 11896/490215. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11897/490224. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.y))) REDUCED to normal form. ------ 11898/490251. ------ 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. ------ 11899/490260. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a) a)) 3. ==[ beta ]==> ((^y.a)((^z.a) a)) 4. ==[ alpha ]==> ((^x.a)((^y.a) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 11900/490287. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11901/490350. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (^y.(y y)))) REDUCED to normal form. ------ 11902/490377. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 11903/490422. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(x x)))((^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. ------ 11904/490512. ------ 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 a)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 11905/490530. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 11906/490557. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^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. ------ 11907/490593. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(^a.(^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. ------ 11908/490620. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 11909/490647. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 11910/490674. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(^b.(^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. ------ 11911/490719. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 11912/490746. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 11913/490764. ------ 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. ------ 11914/490791. ------ 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. ------ 11915/490836. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 11916/490881. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 11917/490908. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 11918/490962. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a) b)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a) b)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 7. ==[ beta ]==> (((^y.y) a) b) 8. ==[ alpha ]==> (((^x.x) a) b) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 11919/490971. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 11920/490998. ------ 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 ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 11921/491025. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 11922/491043. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(z z)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 11923/491079. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 11924/491106. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 11925/491133. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(x1 x1)))) 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. ------ 11926/491196. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b c)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b c)) REDUCED to normal form. ------ 11927/491277. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a a))(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (a (^y.y)))) 5. ==[ beta ]==> ((a a)(b (a (^y.y)))) 6. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 11928/491304. ------ 1. ==[ start ]==> ((a ((a a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))(a ((^x.x) a))) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 11929/491340. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11930/491394. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^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. ------ 11931/491430. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 11932/491457. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))(^a.a))) 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. ------ 11933/491475. ------ 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. ------ 11934/491502. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11935/491511. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.x1))) REDUCED to normal form. ------ 11936/491538. ------ 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)))) REDUCED to normal form. ------ 11937/491556. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a a)(^z.z))) 3. ==[ beta ]==> ((((^y.y) a)((^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. ------ 11938/491565. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(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. ------ 11939/491592. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.a)(^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. ------ 11940/491619. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 11941/491634. ------ 1. ==[ start ]==> ((^a.(^a.b)) a) 2. ==[ alpha ]==> ((^x.(^y.b)) a) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 11942/491636. ------ 1. ==[ start ]==> (^a.(a (^a.b))) 2. ==[ alpha ]==> (^x.(x (^y.b))) REDUCED to normal form. ------ 11943/491637. ------ 1. ==[ start ]==> (a (a (^a.b))) 2. ==[ alpha ]==> (a (a (^x.b))) REDUCED to normal form. ------ 11944/491640. ------ 1. ==[ start ]==> ((^a.a)(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 3. ==[ beta ]==> (^y.(^z.b)) 4. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 11945/491964. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.a))) 3. ==[ eta ]==> ((^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. ------ 11946/493017. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.a))) 3. ==[ beta ]==> (((^y.(^z.a))(^y.(^z.a)))(^y.(^z.a))) 4. ==[ alpha ]==> (((^x.(^y.a))(^z.(^x1.a)))(^y1.(^z1.a))) 5. ==[ beta ]==> ((^y.a)(^y1.(^z1.a))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 11947/493350. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.a)) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.z)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 11948/493353. ------ 1. ==[ start ]==> ((a (^a.b)) a) 2. ==[ alpha ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 11949/493359. ------ 1. ==[ start ]==> ((^a.a)(a (^a.b))) 2. ==[ alpha ]==> ((^x.x)(a (^y.b))) 3. ==[ beta ]==> (a (^y.b)) 4. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 11950/493362. ------ 1. ==[ start ]==> ((a a)(^a.(^a.b))) 2. ==[ alpha ]==> ((a a)(^x.(^y.b))) REDUCED to normal form. ------ 11951/493413. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 11952/493494. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^z.(^x1.x1))((^y1.y1)(^z1.z1)))(^y.y)) 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. ------ 11953/493515. ------ 1. ==[ start ]==> (((a a) b)(^c.(^c.a))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.a))) REDUCED to normal form. ------ 11954/493686. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.a))) 3. ==[ beta ]==> ((a a)(^y.(^z.a))) 4. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 11955/493695. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((z z) z))) 3. ==[ beta ]==> ((^y.a)(^z.((z z) z))) 4. ==[ alpha ]==> ((^x.a)(^y.((y y) y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 11956/493953. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(a (a a)))(((^y.(^z.z))(a (a a)))((^y.(^z.z))(a (a a))))) 4. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.(^x1.x1))(a (a a)))((^y1.(^z1.z1))(a (a a))))) 5. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a (a a)))((^y1.(^z1.z1))(a (a a))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a (a a)))((^x1.(^y1.y1))(a (a a))))) 7. ==[ beta ]==> (((^y.(^z.z))(a (a a)))((^x1.(^y1.y1))(a (a a)))) 8. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a (a a)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 11. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 12. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11957/494178. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 11958/494253. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 11959/494304. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 11960/494460. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.d)) REDUCED to normal form. ------ 11961/494478. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(z (z z)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 11962/494658. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a a)(^y.((^z.z) a))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y) a))) 7. ==[ beta ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 11963/494736. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(^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 ((^x1.x1)(^y1.a))) 8. ==[ alpha ]==> (a ((^x.x)(^y.a))) 9. ==[ beta ]==> (a (^y.a)) 10. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 11964/494739. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.a))) REDUCED to normal form. ------ 11965/494865. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 11966/494937. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.(a (^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))) REDUCED to normal form. ------ 11967/494973. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.z)) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 11968/495000. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 11969/495054. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.a)) REDUCED to normal form. ------ 11970/495069. ------ 1. ==[ start ]==> ((^a.(^a.b))(a a)) 2. ==[ alpha ]==> ((^x.(^y.b))(a a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 11971/495072. ------ 1. ==[ start ]==> ((a (^a.b))(^a.a)) 2. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 11972/495084. ------ 1. ==[ start ]==> ((a a)(a (^a.b))) 2. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 11973/495102. ------ 1. ==[ start ]==> (((^a.a) a)(((a a) a)(^a.a))) 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. ------ 11974/495129. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 11975/495138. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 11976/495156. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 11977/495183. ------ 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)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 11978/495192. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 11979/495210. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 11980/495219. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 11981/495237. ------ 1. ==[ start ]==> (((a a) b)((a a)(^c.a))) 2. ==[ alpha ]==> (((a a) b)((a a)(^x.a))) REDUCED to normal form. ------ 11982/495264. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a) a)) REDUCED to normal form. ------ 11983/495291. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 11984/495354. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 11985/495381. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 11986/495417. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a ((a a) a))) 3. ==[ beta ]==> ((^y.a)(a ((a a) a))) 4. ==[ alpha ]==> ((^x.a)(a ((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 11987/495444. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(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. ------ 11988/495453. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 11989/495498. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (a (((^y.y) a)((^z.z) a))) 6. ==[ alpha ]==> (a (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (a (a ((^y.y) a))) 8. ==[ alpha ]==> (a (a ((^x.x) a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 11990/495525. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1))(a (a 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. ------ 11991/495597. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 11992/495624. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 11993/495651. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 11994/495669. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 11995/495678. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 11996/495750. ------ 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. ------ 11997/495822. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 11998/495858. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 11999/495876. ------ 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. ------ 12000/495885. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y)) b)) 3. ==[ beta ]==> (((a (a a))(^x.x))(b b)) REDUCED to normal form. ------ 12001/495903. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 12002/495948. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b (^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.(y y)))) REDUCED to normal form. ------ 12003/495975. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 12004/495993. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 12005/496002. ------ 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. ------ 12006/496029. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 12007/496038. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 12008/496128. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a) b)) 3. ==[ beta ]==> (((a (a a)) b)(a b)) REDUCED to normal form. ------ 12009/496173. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> ((^y.y)(b ((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 12010/496200. ------ 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)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 12011/496209. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 12012/496236. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a) b)) 3. ==[ beta ]==> ((a (^y.a))((^z.a) b)) 4. ==[ alpha ]==> ((a (^x.a))((^y.a) b)) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 12013/496254. ------ 1. ==[ start ]==> (((^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.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 12014/496326. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 12015/496353. ------ 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))(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. ------ 12016/496380. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) 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)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 12017/496407. ------ 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. ------ 12018/496434. ------ 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.(^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. ------ 12019/496461. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)(^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. ------ 12020/496497. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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)) REDUCED to normal form. ------ 12021/496551. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c a)) 3. ==[ beta ]==> (((^y.a)(^y.a))(c a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c a)) 5. ==[ beta ]==> (a (c a)) REDUCED to normal form. ------ 12022/496587. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 12023/496614. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.x)) a)) REDUCED to normal form. ------ 12024/496632. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b (a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b (a a))) 3. ==[ beta ]==> (((a a) a)(b (a a))) REDUCED to normal form. ------ 12025/496659. ------ 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)(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. ------ 12026/496668. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 12027/496695. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a) 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. ------ 12028/496713. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) 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. ------ 12029/496722. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 12030/496749. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 12031/496776. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 12032/496791. ------ 1. ==[ start ]==> ((^a.(^a.b)) b) 2. ==[ alpha ]==> ((^x.(^y.b)) b) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12033/496794. ------ 1. ==[ start ]==> ((a (^a.b))(a a)) 2. ==[ alpha ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 12034/496815. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12035/498516. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12036/498519. ------ 1. ==[ start ]==> ((a (^a.b)) b) 2. ==[ alpha ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 12037/498543. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12038/498546. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 12039/498561. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 12040/498588. ------ 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 REDUCED to normal form. ------ 12041/498624. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 12042/498669. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^z.z))(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 12043/498708. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^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. ------ 12044/498786. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (^y.((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (^x.((^y.(y y))(^z.a))) 5. ==[ beta ]==> (^x.((^z.a)(^z.a))) 6. ==[ alpha ]==> (^x.((^y.a)(^z.a))) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 12045/498870. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 12046/499128. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a (^z.z))(^x1.(x1 x1)))((a (^y1.y1))(^z1.(z1 z1))))) REDUCED to normal form. ------ 12047/499167. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 12048/499311. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 12049/499479. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12050/499653. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 12051/499662. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(z (z z)))) REDUCED to normal form. ------ 12052/500004. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.z))) 5. ==[ beta ]==> (a (^z.(^x1.z))) 6. ==[ alpha ]==> (a (^x.(^y.x))) REDUCED to normal form. ------ 12053/500112. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 12054/500121. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) REDUCED to normal form. ------ 12055/500166. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 12056/500202. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 12057/500229. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 12058/500244. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (^z.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12059/500247. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 12060/500277. ------ 1. ==[ start ]==> ((a (^a.a))(a (^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.b))) REDUCED to normal form. ------ 12061/500295. ------ 1. ==[ start ]==> ((a (a a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 12062/500322. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 12063/500331. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 12064/500358. ------ 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)))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((^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. ------ 12065/500376. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 12066/500403. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 12067/500412. ------ 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)(^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. ------ 12068/500439. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 12069/500493. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 12070/500520. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (^x.a))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 12071/500556. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 12072/500601. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(^c.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. ------ 12073/500637. ------ 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 (^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. ------ 12074/500664. ------ 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. ------ 12075/500691. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.a))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 12076/500718. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(a (a a)))) REDUCED to normal form. ------ 12077/500745. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 12078/500781. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 12079/500808. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 12080/500835. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((a (a a))(a (^y.a))) 6. ==[ alpha ]==> ((a (a a))(a (^x.a))) REDUCED to normal form. ------ 12081/500862. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 12082/500871. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((^y.(^z.z))(a (a a)))((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a (a a)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 9. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 10. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12083/500898. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12084/500952. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 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. ------ 12085/500979. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 12086/501006. ------ 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)((^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. ------ 12087/501015. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (a (a a)))) REDUCED to normal form. ------ 12088/501042. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 12089/501069. ------ 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. ------ 12090/501105. ------ 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. ------ 12091/501186. ------ 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. ------ 12092/501213. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 12093/501222. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.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. ------ 12094/501249. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 12095/501303. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 7. ==[ beta ]==> ((^y.(y y))(^z.z)) 8. ==[ alpha ]==> ((^x.(x x))(^y.y)) 9. ==[ beta ]==> ((^y.y)(^y.y)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12096/501357. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12097/501366. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 12098/501384. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 12099/501393. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (a (a a)))) REDUCED to normal form. ------ 12100/501420. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((a (^x.a))(a (a a))) REDUCED to normal form. ------ 12101/501447. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 12102/501474. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((a a)((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 12103/501510. ------ 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)(^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. ------ 12104/501537. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 12105/501564. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(^z.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a a)(^z.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.a))) 5. ==[ beta ]==> ((a a)((a a)(^y.a))) 6. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 12106/501591. ------ 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. ------ 12107/501618. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.z)) b)) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z)) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y)) b)) 5. ==[ beta ]==> ((a a)((a (^y.y)) b)) 6. ==[ alpha ]==> ((a a)((a (^x.x)) b)) REDUCED to normal form. ------ 12108/501681. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.y1))) 3. ==[ beta ]==> ((^y.y)(c (^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(c (^y.y))) 5. ==[ beta ]==> (c (^y.y)) 6. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 12109/501735. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (^z.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (^z.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (^z.a))) 5. ==[ beta ]==> (a (a (^z.a))) 6. ==[ alpha ]==> (a (a (^x.a))) REDUCED to normal form. ------ 12110/501771. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b b)) 3. ==[ beta ]==> (((^y.y) b)(b b)) 4. ==[ alpha ]==> (((^x.x) b)(b b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 12111/501816. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 12112/501843. ------ 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)(^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. ------ 12113/501852. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (a (^x1.x1)))) REDUCED to normal form. ------ 12114/501879. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 12115/501897. ------ 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)((^y.y) a))(a (^z.(^x1.x1)))) 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. ------ 12116/501906. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b a)) REDUCED to normal form. ------ 12117/501933. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 12118/501960. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a (a a))) REDUCED to normal form. ------ 12119/501975. ------ 1. ==[ start ]==> ((^a.(^a.b)) c) 2. ==[ alpha ]==> ((^x.(^y.b)) c) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12120/501978. ------ 1. ==[ start ]==> ((a (^a.b))(a (^a.a))) 2. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 12121/501995. ------ 1. ==[ start ]==> (^a.((a a)((a a) a))) 2. ==[ alpha ]==> (^x.((x x)((x x) x))) REDUCED to normal form. ------ 12122/501996. ------ 1. ==[ start ]==> (a ((a a)((a a) a))) REDUCED to normal form. ------ 12123/503709. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.a)) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12124/503712. ------ 1. ==[ start ]==> ((a (^a.b)) c) 2. ==[ alpha ]==> ((a (^x.b)) c) REDUCED to normal form. ------ 12125/503730. ------ 1. ==[ start ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 12126/503736. ------ 1. ==[ start ]==> ((^a.a)((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 3. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 12127/503757. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.b))) 3. ==[ beta ]==> (a (^y.(^z.b))) 4. ==[ alpha ]==> (a (^x.(^y.b))) REDUCED to normal form. ------ 12128/503826. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 12129/503919. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((a a) a))) REDUCED to normal form. ------ 12130/503988. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a)) c)) 3. ==[ beta ]==> (^y.((a (a a)) c)) 4. ==[ alpha ]==> (^x.((a (a a)) c)) REDUCED to normal form. ------ 12131/504060. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b ((^z.z)(^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 12132/504369. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 12133/504513. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 12134/504555. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 12135/504648. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 12136/504864. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 12137/505113. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(b (a (^y.y)))) 3. ==[ beta ]==> (((b (a (^y.y)))(b (a (^y.y))))(b (a (^y.y)))) 4. ==[ alpha ]==> (((b (a (^x.x)))(b (a (^y.y))))(b (a (^z.z)))) REDUCED to normal form. ------ 12138/505206. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.c)) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.c)) 5. ==[ beta ]==> (a (^z.c)) 6. ==[ alpha ]==> (a (^x.c)) REDUCED to normal form. ------ 12139/505269. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 12140/505323. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 12141/505368. ------ 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)((^y.y) 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)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 12142/505377. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 12143/505404. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12144/505431. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 12145/505446. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12146/505449. ------ 1. ==[ start ]==> ((a (^a.b))(^b.a)) 2. ==[ alpha ]==> ((a (^x.b))(^y.a)) REDUCED to normal form. ------ 12147/505467. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.a)) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 12148/505479. ------ 1. ==[ start ]==> ((a a)((a a)((a a) a))) REDUCED to normal form. ------ 12149/505497. ------ 1. ==[ start ]==> (((^a.a) a)(a (^a.b))) 2. ==[ alpha ]==> (((^x.x) a)(a (^y.b))) 3. ==[ beta ]==> (a (a (^y.b))) 4. ==[ alpha ]==> (a (a (^x.b))) REDUCED to normal form. ------ 12150/505515. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 12151/505542. ------ 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)))) 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. ------ 12152/505551. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 12153/505569. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 12154/505578. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)((^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. ------ 12155/505605. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 12156/505623. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12157/505632. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 12158/505659. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a) a)) REDUCED to normal form. ------ 12159/505677. ------ 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. ------ 12160/505704. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z)) b) 6. ==[ alpha ]==> (((^x.x)(^y.y)) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 12161/505713. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 12162/505731. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a)) c)) 2. ==[ alpha ]==> ((a (^x.a))((a (a a)) c)) REDUCED to normal form. ------ 12163/505767. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 12164/505803. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 12165/505956. ------ 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)))) REDUCED to normal form. ------ 12166/506064. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 12167/506082. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a (^y.y))(^z.(z z)))((a (^y.y))(^z.(z z)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 12168/506109. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 12169/506145. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 12170/506163. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a)) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a)) b)) 5. ==[ beta ]==> ((^y.y)((a (a a)) b)) 6. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 12171/506172. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 12172/506199. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 12173/506226. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 12174/506253. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 12175/506271. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 12176/506298. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 12177/506316. ------ 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. ------ 12178/506343. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((a (^y.y)) a)) REDUCED to normal form. ------ 12179/506370. ------ 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. ------ 12180/506388. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 12181/506433. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12182/506460. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 12183/506514. ------ 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))(^y.(^z.z)))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 12184/506523. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a)) b)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 12185/506550. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 12186/506577. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 12187/506604. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(z z))) REDUCED to normal form. ------ 12188/506649. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a) b)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 12189/506685. ------ 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. ------ 12190/506775. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b c)) 3. ==[ beta ]==> ((a ((^y.y) a))(b c)) 4. ==[ alpha ]==> ((a ((^x.x) a))(b c)) 5. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 12191/506856. ------ 1. ==[ start ]==> ((a ((a a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(b (a (^x.x)))) REDUCED to normal form. ------ 12192/506892. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) a)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 12193/506946. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z) c)) 5. ==[ beta ]==> (a ((^z.z) c)) 6. ==[ alpha ]==> (a ((^x.x) c)) 7. ==[ beta ]==> (a c) REDUCED to normal form. ------ 12194/506982. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a a))) 5. ==[ beta ]==> (b ((^y.(^z.z))(a a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 12195/507009. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)(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. ------ 12196/507027. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y)) a)) 3. ==[ beta ]==> (((a a) a)((a (^y.y)) a)) 4. ==[ alpha ]==> (((a a) a)((a (^x.x)) a)) REDUCED to normal form. ------ 12197/507054. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a a) b)) 3. ==[ beta ]==> ((^y.y)((a a) b)) 4. ==[ alpha ]==> ((^x.x)((a a) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 12198/507063. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(^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. ------ 12199/507090. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (^a.a))) 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. ------ 12200/507108. ------ 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)((^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. ------ 12201/507117. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 12202/507144. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12203/507171. ------ 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. ------ 12204/507189. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a) a)) 2. ==[ alpha ]==> ((a (^x.b))((^y.y) a)) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 12205/507207. ------ 1. ==[ start ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 12206/507215. ------ 1. ==[ start ]==> (^a.(b (^c.a))) 2. ==[ alpha ]==> (^x.(b (^y.x))) REDUCED to normal form. ------ 12207/507216. ------ 1. ==[ start ]==> (a (b (^c.a))) 2. ==[ alpha ]==> (a (b (^x.a))) REDUCED to normal form. ------ 12208/507246. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.b))) 3. ==[ beta ]==> ((^y.(^z.b))(^y.(^z.b))) 4. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.b))) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12209/508929. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(z z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12210/508950. ------ 1. ==[ start ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 12211/508965. ------ 1. ==[ start ]==> ((^a.a)(b (^c.a))) 2. ==[ alpha ]==> ((^x.x)(b (^y.a))) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 12212/508974. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12213/508992. ------ 1. ==[ start ]==> ((^a.(a a))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(x x))(a (^y.b))) 3. ==[ beta ]==> ((a (^y.b))(a (^y.b))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.b))) REDUCED to normal form. ------ 12214/508995. ------ 1. ==[ start ]==> ((a (a a))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.b))) REDUCED to normal form. ------ 12215/509019. ------ 1. ==[ start ]==> ((^a.b)((^c.a)(a a))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 12216/509100. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((^z.a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(a (a a)))(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 12217/509289. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^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. ------ 12218/509328. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1) y1))) 3. ==[ beta ]==> ((^y.y)(^y1.((y1 y1) y1))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 12219/509460. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 12220/509559. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((^x.a)((^y.y) a))(((^z.a)((^x1.x1) a))((^y1.a)((^z1.z1) a)))) 5. ==[ beta ]==> (a (((^z.a)((^x1.x1) a))((^y1.a)((^z1.z1) a)))) 6. ==[ alpha ]==> (a (((^x.a)((^y.y) a))((^z.a)((^x1.x1) a)))) 7. ==[ beta ]==> (a (a ((^z.a)((^x1.x1) a)))) 8. ==[ alpha ]==> (a (a ((^x.a)((^y.y) a)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 12221/509760. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a 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. ------ 12222/509784. ------ 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. ------ 12223/509886. ------ 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. ------ 12224/509910. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(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. ------ 12225/510210. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 12226/510291. ------ 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. ------ 12227/510342. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))(^a.(^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. ------ 12228/510381. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^z1.z1)) 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. ------ 12229/510435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (a (^z.(a (^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(a (^y.y)))) REDUCED to normal form. ------ 12230/510552. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.b)) REDUCED to normal form. ------ 12231/510606. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 12232/510675. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (a a))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12233/510678. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(a a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(y y))) REDUCED to normal form. ------ 12234/510696. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 12235/510717. ------ 1. ==[ start ]==> ((a a)(b (^c.a))) 2. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 12236/510726. ------ 1. ==[ start ]==> ((a (^a.a))((a a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 12237/510744. ------ 1. ==[ start ]==> ((a (a a))(a (^a.b))) 2. ==[ alpha ]==> ((a (a a))(a (^x.b))) REDUCED to normal form. ------ 12238/510762. ------ 1. ==[ start ]==> (((a a) a)(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 12239/510771. ------ 1. ==[ start ]==> ((a b)((^c.a)(a a))) 2. ==[ alpha ]==> ((a b)((^x.a)(a a))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 12240/510789. ------ 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)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 12241/510816. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a))(^b.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. ------ 12242/510825. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^y.y) 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. ------ 12243/510843. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(x1 x1)))) 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. ------ 12244/510852. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 12245/510870. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 12246/510924. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 12247/510951. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 12248/510987. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 12249/511014. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 12250/511041. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 12251/511050. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 12252/511077. ------ 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)(a ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 12253/511086. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a) a)) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 12254/511113. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 12255/511131. ------ 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. ------ 12256/511140. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y)) c)) 3. ==[ beta ]==> (((a a)(^x.a))(c c)) REDUCED to normal form. ------ 12257/511158. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) a)((^y1.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. ------ 12258/511212. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 12259/511257. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 12260/511284. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 12261/511302. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((a a)(a (^y.a))) 6. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 12262/511311. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 12263/511383. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 12264/511410. ------ 1. ==[ start ]==> (((a (a a)) a)((a (a a)) b)) REDUCED to normal form. ------ 12265/511509. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a 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. ------ 12266/511518. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 12267/511536. ------ 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. ------ 12268/511608. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(b (^z.(z z)))) 3. ==[ beta ]==> ((a (a (^y.y)))(b (^z.(z z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 12269/511635. ------ 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. ------ 12270/511662. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 12271/511761. ------ 1. ==[ start ]==> (((a (a a)) b)((a (a a)) a)) REDUCED to normal form. ------ 12272/511788. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 12273/511815. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z)) c)) REDUCED to normal form. ------ 12274/511833. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 12275/511869. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z)) a)) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z)) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y)) a)) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 12276/511887. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 12277/511896. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 12278/511959. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 12279/511986. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 12280/512013. ------ 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))(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)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 12281/512040. ------ 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. ------ 12282/512067. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 12283/512094. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))(^a.(^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. ------ 12284/512130. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(a ((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) a))) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 12285/512184. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)(a (^z.z)))) 5. ==[ beta ]==> (a ((a a)(a (^z.z)))) 6. ==[ alpha ]==> (a ((a a)(a (^x.x)))) REDUCED to normal form. ------ 12286/512220. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.z))) 5. ==[ beta ]==> (b ((a (^y.y))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 12287/512247. ------ 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. ------ 12288/512292. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(b (a a))) 3. ==[ beta ]==> ((^y.y)(b (a a))) 4. ==[ alpha ]==> ((^x.x)(b (a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 12289/512301. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a) b)) REDUCED to normal form. ------ 12290/512328. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 12291/512346. ------ 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)((^y.y) 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. ------ 12292/512355. ------ 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))(^x.a)) b) REDUCED to normal form. ------ 12293/512382. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)(^a.a))) 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. ------ 12294/512409. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a) a)) REDUCED to normal form. ------ 12295/512427. ------ 1. ==[ start ]==> ((a (^a.b))(a (a a))) 2. ==[ alpha ]==> ((a (^x.b))(a (a a))) REDUCED to normal form. ------ 12296/512445. ------ 1. ==[ start ]==> (((a a)((a a) a))(a (^a.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 12297/514176. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12298/514230. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12299/514260. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(^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. ------ 12300/514275. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 12301/514311. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 12302/514356. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^z.z) a)(^x1.(x1 x1)))(^y.y)) 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. ------ 12303/514422. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 12304/514473. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 12305/514584. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 12306/514593. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((y y) y))) REDUCED to normal form. ------ 12307/514716. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 12308/514815. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.a))((((^z.z) a)(^x1.a))(((^y1.y1) a)(^z1.a)))) 5. ==[ beta ]==> ((a (^y.a))((((^z.z) a)(^x1.a))(((^y1.y1) a)(^z1.a)))) 6. ==[ alpha ]==> ((a (^x.a))((((^y.y) a)(^z.a))(((^x1.x1) a)(^y1.a)))) 7. ==[ beta ]==> ((a (^x.a))((a (^z.a))(((^x1.x1) a)(^y1.a)))) 8. ==[ alpha ]==> ((a (^x.a))((a (^y.a))(((^z.z) a)(^x1.a)))) 9. ==[ beta ]==> ((a (^x.a))((a (^y.a))(a (^x1.a)))) 10. ==[ alpha ]==> ((a (^x.a))((a (^y.a))(a (^z.a)))) REDUCED to normal form. ------ 12309/515016. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 12310/515025. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 12311/515133. ------ 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)))) REDUCED to normal form. ------ 12312/515166. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12313/515259. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a (a a)))) 5. ==[ beta ]==> ((^y.y)(^y1.(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 7. ==[ beta ]==> (^y.(a (a a))) 8. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 12314/515376. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(z (z z)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(z (z z)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(y (y y)))) REDUCED to normal form. ------ 12315/515598. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y)) b)) 3. ==[ beta ]==> ((((a (^y.y)) b)((a (^y.y)) b))((a (^y.y)) b)) 4. ==[ alpha ]==> ((((a (^x.x)) b)((a (^y.y)) b))((a (^z.z)) b)) REDUCED to normal form. ------ 12316/515637. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 12317/515772. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 12318/515835. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.(a (^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)))) REDUCED to normal form. ------ 12319/515862. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(a a))) REDUCED to normal form. ------ 12320/515916. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.b)) REDUCED to normal form. ------ 12321/515931. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12322/515934. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 12323/515952. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.a)) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.a)) REDUCED to normal form. ------ 12324/515991. ------ 1. ==[ start ]==> ((a (^a.a))(b (^c.a))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 12325/516000. ------ 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. ------ 12326/516018. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.b))) 3. ==[ beta ]==> ((^y.y)(a (^z.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 12327/516036. ------ 1. ==[ start ]==> ((a b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 12328/516072. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 12329/516090. ------ 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. ------ 12330/516117. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 12331/516126. ------ 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 ]==> ((^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. ------ 12332/516153. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))((^z1.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. ------ 12333/516180. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^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. ------ 12334/516234. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 12335/516315. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 12336/516351. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a ((a a) a))) REDUCED to normal form. ------ 12337/516378. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^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)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 12338/516405. ------ 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. ------ 12339/516432. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a ((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 12340/516459. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 12341/516477. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 12342/516522. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 12343/516549. ------ 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. ------ 12344/516576. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) 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. ------ 12345/516585. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((^y.a)((^z.z) a))((^y.a)((^z.z) a))) 6. ==[ alpha ]==> (((^x.a)((^y.y) a))((^z.a)((^x1.x1) a))) 7. ==[ beta ]==> (a ((^z.a)((^x1.x1) a))) 8. ==[ alpha ]==> (a ((^x.a)((^y.y) a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 12346/516612. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12347/516666. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.y1))) 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. ------ 12348/516693. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 12349/516720. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 12350/516729. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(c a)) REDUCED to normal form. ------ 12351/516756. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 12352/516774. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(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. ------ 12353/516783. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a ((^y.y)(^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. ------ 12354/516819. ------ 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. ------ 12355/516846. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a) c)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a) c)) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 12356/516891. ------ 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. ------ 12357/516927. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(^z.z))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 12358/516936. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12359/516963. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 12360/517017. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 7. ==[ beta ]==> ((^y.y)(a (a a))) 8. ==[ alpha ]==> ((^x.x)(a (a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 12361/517071. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 12362/517080. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (a (^z.z)))) REDUCED to normal form. ------ 12363/517098. ------ 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)((^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. ------ 12364/517107. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b a)) REDUCED to normal form. ------ 12365/517134. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (a (a a)))) 3. ==[ beta ]==> ((a (^y.a))(a (a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))(a (a (a a)))) REDUCED to normal form. ------ 12366/517161. ------ 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. ------ 12367/517188. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 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))) REDUCED to normal form. ------ 12368/517251. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a (^y.y))) REDUCED to normal form. ------ 12369/517278. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 12370/517305. ------ 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. ------ 12371/517332. ------ 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)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 12372/517359. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x)) b)) REDUCED to normal form. ------ 12373/517395. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(^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. ------ 12374/517449. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (a (b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 12375/517485. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c a)) 3. ==[ beta ]==> (((^y.y) b)(c a)) 4. ==[ alpha ]==> (((^x.x) b)(c a)) 5. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 12376/517512. ------ 1. ==[ start ]==> ((((a a) a) a)(b b)) REDUCED to normal form. ------ 12377/517530. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 12378/517557. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.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. ------ 12379/517566. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (a a))) REDUCED to normal form. ------ 12380/517593. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.(y y)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (a (^y.y)))) REDUCED to normal form. ------ 12381/517611. ------ 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) 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. ------ 12382/517620. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a a)(a a))) REDUCED to normal form. ------ 12383/517647. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b a)) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12384/517674. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a b)) REDUCED to normal form. ------ 12385/517692. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(^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. ------ 12386/517710. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.a) a)) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x) a)) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 12387/517736. ------ 1. ==[ start ]==> (^a.((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.((x (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^x.((x (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (^x.((x (^y.y))(^z.z))) REDUCED to normal form. ------ 12388/517737. ------ 1. ==[ start ]==> (a ((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a ((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (a ((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (a ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 12389/519450. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.a)) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12390/519498. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a))) a) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z))) a) 3. ==[ beta ]==> (((a (^x.x))(^z.z)) a) 4. ==[ alpha ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 12391/519504. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))((^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. ------ 12392/519531. ------ 1. ==[ start ]==> ((^a.(a a))((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))((a a)((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 12393/519552. ------ 1. ==[ start ]==> (((a a) a)(^a.(^a.b))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.b))) REDUCED to normal form. ------ 12394/519594. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 12395/519714. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 12396/519756. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (^x.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 12397/519876. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.a))) REDUCED to normal form. ------ 12398/520173. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)(^x.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 12399/520308. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 12400/520323. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 12401/520551. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(a (a a)))) REDUCED to normal form. ------ 12402/520659. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 12403/520920. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.y1)) 3. ==[ beta ]==> ((^y.y)(^y1.y1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12404/521010. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.y))) 5. ==[ beta ]==> (b (^y.(^z.y))) 6. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 12405/521118. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(^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)))) REDUCED to normal form. ------ 12406/521172. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12407/521199. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 12408/521214. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((a a) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12409/521217. ------ 1. ==[ start ]==> ((a (^a.b))(^c.a)) 2. ==[ alpha ]==> ((a (^x.b))(^y.a)) REDUCED to normal form. ------ 12410/521235. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.(a a))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(x x))) REDUCED to normal form. ------ 12411/521262. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 12412/521274. ------ 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. ------ 12413/521292. ------ 1. ==[ start ]==> (((^a.a) a)(b (^c.a))) 2. ==[ alpha ]==> (((^x.x) a)(b (^y.a))) 3. ==[ beta ]==> (a (b (^y.a))) 4. ==[ alpha ]==> (a (b (^x.a))) REDUCED to normal form. ------ 12414/521301. ------ 1. ==[ start ]==> ((a (a a))((a a)((a a) a))) REDUCED to normal form. ------ 12415/521319. ------ 1. ==[ start ]==> (((a a) a)(a (^a.b))) 2. ==[ alpha ]==> (((a a) a)(a (^x.b))) REDUCED to normal form. ------ 12416/521337. ------ 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. ------ 12417/521364. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 12418/521373. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 12419/521400. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 12420/521418. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12421/521427. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 12422/521445. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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. ------ 12423/521454. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 12424/521481. ------ 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. ------ 12425/521499. ------ 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) a) a)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 12426/521526. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.a))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.a))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 12427/521562. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 12428/521643. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(^c.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. ------ 12429/521688. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) b)) 5. ==[ beta ]==> (a ((^y.(^z.z)) b)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) b)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 12430/521787. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) 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. ------ 12431/521859. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 12432/521877. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((((^y.y) a)(^z.a))(((^y.y) a)(^z.a))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(^x1.a))) 7. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(^x1.a))) 8. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.a))) 9. ==[ beta ]==> ((a (^x.a))(a (^z.a))) 10. ==[ alpha ]==> ((a (^x.a))(a (^y.a))) REDUCED to normal form. ------ 12433/521904. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((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. ------ 12434/521940. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((^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. ------ 12435/521958. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1)) 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. ------ 12436/521967. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))(^a.a))) 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. ------ 12437/521985. ------ 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. ------ 12438/521994. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 12439/522021. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 12440/522048. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 12441/522075. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 12442/522093. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 12443/522111. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (a a))(a a))) REDUCED to normal form. ------ 12444/522138. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^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. ------ 12445/522165. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (a (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 12446/522183. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 12447/522192. ------ 1. ==[ start ]==> (((a (a a))(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 12448/522228. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12449/522255. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 12450/522309. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.(y1 y1)))) 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. ------ 12451/522318. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a (a a)) b)(a (a a))) REDUCED to normal form. ------ 12452/522345. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^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))) 7. ==[ beta ]==> (a ((^y.y)(^y.y))) 8. ==[ alpha ]==> (a ((^x.x)(^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 12453/522363. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> ((^y.y)(((^z.z) a) b)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 7. ==[ beta ]==> (((^y.y) a) b) 8. ==[ alpha ]==> (((^x.x) a) b) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 12454/522372. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 12455/522399. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 12456/522426. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.a))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(y y))) REDUCED to normal form. ------ 12457/522444. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z)) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 12458/522516. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 12459/522597. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(b c)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b c)) REDUCED to normal form. ------ 12460/522687. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a) c)) 3. ==[ beta ]==> ((^y.y)((a a) c)) 4. ==[ alpha ]==> ((^x.x)((a a) c)) 5. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 12461/522741. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (a ((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) b)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 12462/522777. ------ 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. ------ 12463/522804. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 12464/522822. ------ 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. ------ 12465/522849. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) a)) 5. ==[ beta ]==> ((a (^y.y)) a) 6. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 12466/522858. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 12467/522885. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)(^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. ------ 12468/522903. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z)) a)) 7. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 8. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 12469/522912. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.y))) REDUCED to normal form. ------ 12470/522939. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12471/522966. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)(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. ------ 12472/522984. ------ 1. ==[ start ]==> ((a (^a.b))((a a) a)) 2. ==[ alpha ]==> ((a (^x.b))((a a) a)) REDUCED to normal form. ------ 12473/523002. ------ 1. ==[ start ]==> (((a a)((a a) a))(a (a a))) REDUCED to normal form. ------ 12474/523029. ------ 1. ==[ start ]==> (((a (^a.a))((^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)) REDUCED to normal form. ------ 12475/523095. ------ 1. ==[ start ]==> ((^a.b)(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 12476/523860. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.((^a.a)(^a.a)))) 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. ------ 12477/523986. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 12478/524751. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.b)) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12479/524799. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a))) b) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z))) b) 3. ==[ beta ]==> (((a (^x.x))(^z.z)) b) 4. ==[ alpha ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 12480/524823. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12481/524841. ------ 1. ==[ start ]==> ((^a.(a a))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(x x))(b (^y.a))) 3. ==[ beta ]==> ((b (^y.a))(b (^y.a))) 4. ==[ alpha ]==> ((b (^x.a))(b (^y.a))) REDUCED to normal form. ------ 12482/524868. ------ 1. ==[ start ]==> ((^a.b)(a (^a.b))) 2. ==[ alpha ]==> ((^x.b)(a (^y.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 12483/524871. ------ 1. ==[ start ]==> ((a b)(^a.(^a.b))) 2. ==[ alpha ]==> ((a b)(^x.(^y.b))) REDUCED to normal form. ------ 12484/524949. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((^z.(z z))((^x1.x1) a))(^y.y)) 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. ------ 12485/525138. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(^x1.(x1 x1)))) 3. ==[ eta ]==> ((^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. ------ 12486/525309. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 12487/525408. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.(z z))(a (^x1.x1)))((^y1.(y1 y1))(a (^z1.z1))))) 5. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.(z z))(a (^x1.x1)))((^y1.(y1 y1))(a (^z1.z1))))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.(z z))(a (^x1.x1)))((^y1.(y1 y1))(a (^z1.z1))))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a (^x1.x1))(a (^x1.x1)))((^y1.(y1 y1))(a (^z1.z1))))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a (^z.z))(a (^x1.x1)))((^y1.(y1 y1))(a (^z1.z1))))) 9. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a (^z.z))(a (^x1.x1)))((a (^z1.z1))(a (^z1.z1))))) 10. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a (^z.z))(a (^x1.x1)))((a (^y1.y1))(a (^z1.z1))))) REDUCED to normal form. ------ 12488/525483. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 12489/525633. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a ((^a.a)(^a.a)))) 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. ------ 12490/525636. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 12491/525759. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12492/525762. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 12493/525861. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 12494/525969. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.d)) 3. ==[ beta ]==> ((a (^y.a))(^z.d)) 4. ==[ alpha ]==> ((a (^x.a))(^y.d)) REDUCED to normal form. ------ 12495/525987. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(z (z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 12496/526086. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 12497/526167. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a a)(^y.((^z.z) a))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y) a))) 7. ==[ beta ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 12498/526191. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(^a.a))) 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. ------ 12499/526320. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.c)) 3. ==[ beta ]==> (((^y.y) b)(^z.c)) 4. ==[ alpha ]==> (((^x.x) b)(^y.c)) 5. ==[ beta ]==> (b (^y.c)) 6. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 12500/526446. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.(a (^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)))) REDUCED to normal form. ------ 12501/526482. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.y1)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12502/526524. ------ 1. ==[ start ]==> ((^a.(^a.b))(a b)) 2. ==[ alpha ]==> ((^x.(^y.b))(a b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12503/526527. ------ 1. ==[ start ]==> ((a (^a.b))(^a.b)) 2. ==[ alpha ]==> ((a (^x.b))(^y.b)) REDUCED to normal form. ------ 12504/526545. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 12505/526572. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 12506/526602. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 12507/526620. ------ 1. ==[ start ]==> ((a (a a))(b (^c.a))) 2. ==[ alpha ]==> ((a (a a))(b (^x.a))) REDUCED to normal form. ------ 12508/526629. ------ 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. ------ 12509/526647. ------ 1. ==[ start ]==> ((a b)(a (^a.b))) 2. ==[ alpha ]==> ((a b)(a (^x.b))) REDUCED to normal form. ------ 12510/526665. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 12511/526692. ------ 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 ((^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. ------ 12512/526701. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 12513/526719. ------ 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)((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. ------ 12514/526728. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.x)))(((^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. ------ 12515/526746. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) 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. ------ 12516/526773. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 12517/526827. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a) a)) REDUCED to normal form. ------ 12518/526863. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 12519/526881. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (a a)) c)) 3. ==[ beta ]==> ((^y.y)((a (a a)) c)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) c)) 5. ==[ beta ]==> ((a (a a)) c) REDUCED to normal form. ------ 12520/526890. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 12521/526917. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 12522/526926. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (a (a a)))) 3. ==[ beta ]==> ((^y.a)(c (a (a a)))) 4. ==[ alpha ]==> ((^x.a)(c (a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 12523/526953. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 12524/527007. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(^a.a))(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 ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 12525/527016. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 12526/527034. ------ 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. ------ 12527/527088. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 12528/527106. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 12529/527160. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 12530/527178. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 12531/527187. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 12532/527223. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c d)) 3. ==[ beta ]==> ((^y.y)(c d)) 4. ==[ alpha ]==> ((^x.x)(c d)) 5. ==[ beta ]==> (c d) REDUCED to normal form. ------ 12533/527259. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 12534/527286. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> (((a (a a)) a)((^y.y) a)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x) a)) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 12535/527313. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a)) b)) REDUCED to normal form. ------ 12536/527340. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a c)) REDUCED to normal form. ------ 12537/527385. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(b (a (a a)))) REDUCED to normal form. ------ 12538/527412. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 12539/527511. ------ 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. ------ 12540/527538. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 12541/527637. ------ 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. ------ 12542/527664. ------ 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. ------ 12543/527691. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 12544/527763. ------ 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 (^y.y)))(a (a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 12545/527772. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 12546/527799. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) b)) 5. ==[ beta ]==> ((^y.y)((^z.a) b)) 6. ==[ alpha ]==> ((^x.x)((^y.a) b)) 7. ==[ beta ]==> ((^y.a) b) 8. ==[ alpha ]==> ((^x.a) b) 9. ==[ beta ]==> a REDUCED to normal form. ------ 12547/527835. ------ 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)(^y.y))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 12548/527862. ------ 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. ------ 12549/527889. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(a a))) 5. ==[ beta ]==> ((a a)((^y.a)(a a))) 6. ==[ alpha ]==> ((a a)((^x.a)(a a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 12550/527916. ------ 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. ------ 12551/527943. ------ 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)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 12552/527970. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.y))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 12553/528006. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 12554/528060. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(a a))) 5. ==[ beta ]==> (a ((a (^z.z))(a a))) 6. ==[ alpha ]==> (a ((a (^x.x))(a a))) REDUCED to normal form. ------ 12555/528096. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.z) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.y) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 12556/528123. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 12557/528141. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b b)) 3. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 12558/528177. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1)) a)) REDUCED to normal form. ------ 12559/528204. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a) b)) 3. ==[ beta ]==> ((a (^y.(y y)))((a a) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a) b)) REDUCED to normal form. ------ 12560/528222. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a (a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)((^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. ------ 12561/528231. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 12562/528258. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12563/528285. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 12564/528303. ------ 1. ==[ start ]==> ((a (^a.b))(a b)) 2. ==[ alpha ]==> ((a (^x.b))(a b)) REDUCED to normal form. ------ 12565/528321. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.a)(^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. ------ 12566/528348. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 12567/529188. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 12568/530079. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12569/530217. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.b))) 3. ==[ beta ]==> ((a a)(^y.(^z.b))) 4. ==[ alpha ]==> ((a a)(^x.(^y.b))) REDUCED to normal form. ------ 12570/530286. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^z.a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 12571/530379. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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)) REDUCED to normal form. ------ 12572/530403. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)(^a.a))) 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. ------ 12573/530550. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.((y y) y))) 3. ==[ beta ]==> ((a a)(^y.((y y) y))) 4. ==[ alpha ]==> ((a a)(^x.((x x) x))) REDUCED to normal form. ------ 12574/530745. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^y.(^z.z)))(((a (a a))(^y.(^z.z)))((a (a a))(^y.(^z.z))))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a (a a))(^z.(^x1.x1)))((a (a a))(^y1.(^z1.z1))))) REDUCED to normal form. ------ 12575/530838. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 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 ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 12576/530970. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(^b.(^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. ------ 12577/530973. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 12578/531108. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12579/531324. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 12580/531333. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 12581/531528. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) 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. ------ 12582/531657. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(a (^z.z)))) 5. ==[ beta ]==> (b (^y.(a (^z.z)))) 6. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 12583/531729. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 5. ==[ beta ]==> (^y.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 12584/531738. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.c)) REDUCED to normal form. ------ 12585/531783. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 12586/531792. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 12587/531861. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12588/531864. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(a a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(a a))) REDUCED to normal form. ------ 12589/531909. ------ 1. ==[ start ]==> (((a (^a.a))((^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)) REDUCED to normal form. ------ 12590/531957. ------ 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. ------ 12591/531975. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.a))) 3. ==[ beta ]==> ((^y.y)(b (^z.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 12592/531984. ------ 1. ==[ start ]==> (((a a) a)((a a)((a a) a))) REDUCED to normal form. ------ 12593/532002. ------ 1. ==[ start ]==> (((^a.a)(a a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))(a (^y.b))) 3. ==[ beta ]==> ((a a)(a (^y.b))) 4. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 12594/532047. ------ 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))((^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. ------ 12595/532074. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 12596/532083. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12597/532110. ------ 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)((^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. ------ 12598/532137. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 12599/532164. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a a) a)) 6. ==[ alpha ]==> ((^x.x)((a a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 12600/532191. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 12601/532209. ------ 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. ------ 12602/532272. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 12603/532299. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^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. ------ 12604/532308. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.y))) REDUCED to normal form. ------ 12605/532335. ------ 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. ------ 12606/532362. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 12607/532389. ------ 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. ------ 12608/532416. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 12609/532506. ------ 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))((^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. ------ 12610/532533. ------ 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. ------ 12611/532542. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (((^y.(y y))(a (^z.z)))((^y.(y y))(a (^z.z)))) 6. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 7. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 9. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^x1.x1))(a (^x1.x1)))) 10. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 12612/532569. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 12613/532623. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 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. ------ 12614/532650. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 12615/532677. ------ 1. ==[ start ]==> (((^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.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. ------ 12616/532731. ------ 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 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. ------ 12617/532740. ------ 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. ------ 12618/532758. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(^b.(^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. ------ 12619/532776. ------ 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. ------ 12620/532803. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z)) b)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z)) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y)) b)) 5. ==[ beta ]==> (((a (^x.x)) a)(b b)) REDUCED to normal form. ------ 12621/532830. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a) c)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a) c)) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 12622/532848. ------ 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 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. ------ 12623/532893. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12624/532920. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 12625/532974. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^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. ------ 12626/533028. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 7. ==[ beta ]==> ((^y.(y y))(^z.z)) 8. ==[ alpha ]==> ((^x.(x x))(^y.y)) 9. ==[ beta ]==> ((^y.y)(^y.y)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12627/533055. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 12628/533091. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b ((^z.z) a))) 3. ==[ beta ]==> ((a (^y.a))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.a))(b ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.a))(b a)) REDUCED to normal form. ------ 12629/533109. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z z))) REDUCED to normal form. ------ 12630/533118. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 12631/533145. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(a a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a a))) 7. ==[ beta ]==> (((^y.y) a)(a a)) 8. ==[ alpha ]==> (((^x.x) a)(a a)) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 12632/533235. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) 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. ------ 12633/533262. ------ 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. ------ 12634/533289. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.a))) 5. ==[ beta ]==> ((a a)((a a)(^y.a))) 6. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 12635/533316. ------ 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. ------ 12636/533352. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12637/533406. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (^z.z))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (^z.z))) 5. ==[ beta ]==> (a (c (^z.z))) 6. ==[ alpha ]==> (a (c (^x.x))) REDUCED to normal form. ------ 12638/533442. ------ 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. ------ 12639/533487. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 12640/533514. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(a (^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. ------ 12641/533523. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a c)) REDUCED to normal form. ------ 12642/533550. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (a a))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (a a))) REDUCED to normal form. ------ 12643/533568. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)(^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. ------ 12644/533577. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (a (^y.y)))) REDUCED to normal form. ------ 12645/533604. ------ 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. ------ 12646/533631. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b a)) REDUCED to normal form. ------ 12647/533649. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(a a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(a a))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 12648/533667. ------ 1. ==[ start ]==> (((a a)((a a) a))((a a) a)) REDUCED to normal form. ------ 12649/533694. ------ 1. ==[ start ]==> (((a (^a.a))((^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))(^y.y)) a) REDUCED to normal form. ------ 12650/533720. ------ 1. ==[ start ]==> (^a.(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (^x.(((^y.y) x)(x (x x)))) 3. ==[ beta ]==> (^x.(x (x (x x)))) REDUCED to normal form. ------ 12651/533721. ------ 1. ==[ start ]==> (a (((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (a (((^x.x) a)(a (a a)))) 3. ==[ beta ]==> (a (a (a (a a)))) REDUCED to normal form. ------ 12652/533778. ------ 1. ==[ start ]==> ((^a.b)(^c.((a a) a))) 2. ==[ alpha ]==> ((^x.b)(^y.((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 12653/535434. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12654/535509. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a))) a) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a))) a) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 12655/535515. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)(a (a a))) 4. ==[ alpha ]==> (((^x.x) a)(a (a a))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 12656/535542. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^z.z))(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 12657/535569. ------ 1. ==[ start ]==> ((^a.b)((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.b)((a a)((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 12658/535572. ------ 1. ==[ start ]==> ((a b)(^c.((a a) a))) 2. ==[ alpha ]==> ((a b)(^x.((a a) a))) REDUCED to normal form. ------ 12659/535590. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 12660/535605. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 12661/535752. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((a a) a))) REDUCED to normal form. ------ 12662/535767. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a) a)) 3. ==[ beta ]==> (^y.(((a a) a) a)) 4. ==[ alpha ]==> (^x.(((a a) a) a)) REDUCED to normal form. ------ 12663/535914. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.a))) 3. ==[ beta ]==> ((a a)(^y.(^z.a))) 4. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 12664/536211. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(^x.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 12665/536355. ------ 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. ------ 12666/536460. ------ 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. ------ 12667/536589. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(a (a a)))) 5. ==[ beta ]==> (a (^y.(a (a a)))) 6. ==[ alpha ]==> (a (^x.(a (a a)))) REDUCED to normal form. ------ 12668/536697. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 12669/537048. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.x))) REDUCED to normal form. ------ 12670/537102. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 12671/537156. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 12672/537210. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 12673/537225. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(^z.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12674/537228. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 12675/537246. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.b)) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.b)) REDUCED to normal form. ------ 12676/537273. ------ 1. ==[ start ]==> (((a (^a.a))((^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))) REDUCED to normal form. ------ 12677/537300. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.a)) 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. ------ 12678/537312. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> ((a a)(a (a (a a)))) REDUCED to normal form. ------ 12679/537339. ------ 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. ------ 12680/537357. ------ 1. ==[ start ]==> (((a a) a)(b (^c.a))) 2. ==[ alpha ]==> (((a a) a)(b (^x.a))) REDUCED to normal form. ------ 12681/537366. ------ 1. ==[ start ]==> ((a b)((a a)((a a) a))) REDUCED to normal form. ------ 12682/537384. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 12683/537402. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 12684/537411. ------ 1. ==[ start ]==> (((^a.a) b)((^c.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))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 12685/537438. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 12686/537456. ------ 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 ]==> ((^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. ------ 12687/537465. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)((^y.y) 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. ------ 12688/537483. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^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. ------ 12689/537492. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 12690/537510. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))(^b.(^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. ------ 12691/537519. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 12692/537546. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 12693/537564. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a) a)) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a) a)) REDUCED to normal form. ------ 12694/537600. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12695/537681. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 12696/537753. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12697/537825. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 12698/537852. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 12699/537897. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 12700/537915. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(^y.(^z.z)))((a (a a))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 12701/537942. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 12702/537978. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^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. ------ 12703/537996. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 12704/538005. ------ 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)((^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. ------ 12705/538023. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 12706/538032. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 12707/538050. ------ 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)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 12708/538059. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 12709/538086. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 12710/538113. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 12711/538149. ------ 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. ------ 12712/538176. ------ 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. ------ 12713/538203. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (a (^z.z)))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 12714/538221. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c (^y.a))) 3. ==[ beta ]==> ((b b)(c (^y.a))) 4. ==[ alpha ]==> ((b b)(c (^x.a))) REDUCED to normal form. ------ 12715/538230. ------ 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. ------ 12716/538257. ------ 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. ------ 12717/538293. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 12718/538347. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 7. ==[ beta ]==> ((a (^y.y))(^z.a)) 8. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 12719/538356. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^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. ------ 12720/538383. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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)))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 12721/538401. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 12722/538410. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 12723/538428. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z) a) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 5. ==[ beta ]==> (((^y.y) a) b) 6. ==[ alpha ]==> (((^x.x) a) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 12724/538437. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 12725/538464. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 12726/538491. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 12727/538554. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 12728/538581. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a) a)) REDUCED to normal form. ------ 12729/538662. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b c)) 3. ==[ beta ]==> (((^y.y)(a a))(b c)) 4. ==[ alpha ]==> (((^x.x)(a a))(b c)) 5. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 12730/538725. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 12731/538779. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a) a)) 5. ==[ beta ]==> (a ((^z.a) a)) 6. ==[ alpha ]==> (a ((^x.a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 12732/538815. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (b (^y.(^z.z)))) 6. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 12733/538842. ------ 1. ==[ start ]==> ((((a a) a) a)(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)(a (^x.a))) REDUCED to normal form. ------ 12734/538860. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 12735/538887. ------ 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)((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 12736/538896. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(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. ------ 12737/538923. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))(^a.a))) 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. ------ 12738/538941. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a a) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a a) b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a) b)) 5. ==[ beta ]==> ((a ((^y.y) a))((a a) b)) 6. ==[ alpha ]==> ((a ((^x.x) a))((a a) b)) 7. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 12739/538950. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(^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. ------ 12740/538977. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b (^a.a))) 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. ------ 12741/539004. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 12742/539022. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 12743/539040. ------ 1. ==[ start ]==> (((a a)((a a) a))(a b)) REDUCED to normal form. ------ 12744/539067. ------ 1. ==[ start ]==> (((a (^a.a))((^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))) REDUCED to normal form. ------ 12745/539094. ------ 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. ------ 12746/540483. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.((^z.z) a))) 3. ==[ beta ]==> (((^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))) 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))) 9. ==[ beta ]==> (a (^x.a)) REDUCED to normal form. ------ 12747/540891. ------ 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. ------ 12748/540915. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^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. ------ 12749/540960. ------ 1. ==[ start ]==> ((^a.b)(b (^c.a))) 2. ==[ alpha ]==> ((^x.b)(b (^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 12750/541041. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^z.(^x1.x1))(a (^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12751/541230. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))(^x1.a))) 3. ==[ eta ]==> ((^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. ------ 12752/541323. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((z z) z))) 3. ==[ beta ]==> (((^y.y) a)(^z.((z z) z))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((y y) y))) 5. ==[ beta ]==> (a (^y.((y y) y))) 6. ==[ alpha ]==> (a (^x.((x x) x))) REDUCED to normal form. ------ 12753/541401. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 12754/541500. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.(^x1.x1))(a a))((^y1.(^z1.z1))(a a)))) 5. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a a))((^y1.(^z1.z1))(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a)))) 7. ==[ beta ]==> (((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a))) 8. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 11. ==[ beta ]==> ((^y.(^z.z))(a a)) 12. ==[ alpha ]==> ((^x.(^y.y))(a a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12755/541725. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 12756/541746. ------ 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. ------ 12757/541851. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12758/541863. ------ 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. ------ 12759/542205. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 12760/542283. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((^x.x)((^y.y) a))((^z.z)((^x1.x1) a)))((^y1.y1)((^z1.z1) a))) 5. ==[ beta ]==> ((((^y.y) a)((^z.z)((^x1.x1) a)))((^y1.y1)((^z1.z1) a))) 6. ==[ alpha ]==> ((((^x.x) a)((^y.y)((^z.z) a)))((^x1.x1)((^y1.y1) a))) 7. ==[ beta ]==> ((a ((^y.y)((^z.z) a)))((^x1.x1)((^y1.y1) a))) 8. ==[ alpha ]==> ((a ((^x.x)((^y.y) a)))((^z.z)((^x1.x1) a))) 9. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((^x1.x1) a))) 10. ==[ alpha ]==> ((a ((^x.x) 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)((^y.y) a)) 14. ==[ alpha ]==> ((a a)((^x.x) a)) 15. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 12761/542286. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.((^y.y) a))) 3. ==[ beta ]==> ((a ((a a) a))(^x.a)) REDUCED to normal form. ------ 12762/542376. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.((^a.a) a))) 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. ------ 12763/542439. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.c)) 2. ==[ alpha ]==> ((((a a) a) a)(^x.c)) REDUCED to normal form. ------ 12764/542493. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 12765/542547. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.b)) REDUCED to normal form. ------ 12766/542601. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 12767/542616. ------ 1. ==[ start ]==> ((^a.(^a.b))(b a)) 2. ==[ alpha ]==> ((^x.(^y.b))(b a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12768/542637. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.(a a))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 12769/542664. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(^a.a))) 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. ------ 12770/542691. ------ 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. ------ 12771/542721. ------ 1. ==[ start ]==> ((a (^a.a))(((^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. ------ 12772/542748. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((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. ------ 12773/542766. ------ 1. ==[ start ]==> ((a b)(b (^c.a))) 2. ==[ alpha ]==> ((a b)(b (^x.a))) REDUCED to normal form. ------ 12774/542775. ------ 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. ------ 12775/542811. ------ 1. ==[ start ]==> (((^a.a) b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x) b)(((a a) a)(^y.y))) 3. ==[ beta ]==> (b (((a a) a)(^y.y))) 4. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 12776/542838. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 12777/542847. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 12778/542865. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a) b)((a (a a))(^x.a))) REDUCED to normal form. ------ 12779/542892. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(y y)))) REDUCED to normal form. ------ 12780/542919. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 12781/543000. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z)) b) 6. ==[ alpha ]==> (((^x.x)(^y.y)) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 12782/543009. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 12783/543036. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((a a)((^y.a)(^y.a))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 12784/543126. ------ 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. ------ 12785/543135. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a) a)) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 12786/543153. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(^y1.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. ------ 12787/543162. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 12788/543207. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 12789/543252. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 12790/543297. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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)((^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. ------ 12791/543306. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 12792/543378. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 12793/543405. ------ 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. ------ 12794/543432. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 12795/543459. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (a a)) b)) REDUCED to normal form. ------ 12796/543531. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 12797/543549. ------ 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. ------ 12798/543621. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 12799/543657. ------ 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 (^y.y))(b (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 12800/543666. ------ 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. ------ 12801/543756. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 12802/543783. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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. ------ 12803/543810. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 12804/543837. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a b)) REDUCED to normal form. ------ 12805/543864. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z)) c)) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z)) c)) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y)) c)) REDUCED to normal form. ------ 12806/543882. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b a)) REDUCED to normal form. ------ 12807/543918. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(z z)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 7. ==[ beta ]==> ((^y.(y y)) a) 8. ==[ alpha ]==> ((^x.(x x)) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 12808/543981. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (^y.a))) REDUCED to normal form. ------ 12809/544008. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (^z.(z z)))) 3. ==[ beta ]==> ((a ((^y.y) a))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.(y y)))) 5. ==[ beta ]==> ((a a)(a (^y.(y y)))) 6. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 12810/544035. ------ 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. ------ 12811/544062. ------ 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)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 12812/544089. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)((^y.y) a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y) a)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x) a)) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 12813/544125. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 12814/544179. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a ((^z.z) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a ((^z.z) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a ((^z.z) a))) 5. ==[ beta ]==> (a (a ((^z.z) a))) 6. ==[ alpha ]==> (a (a ((^x.x) a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 12815/544215. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) b)) 5. ==[ beta ]==> (b ((^y.(^z.z)) b)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 12816/544287. ------ 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)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 12817/544296. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 12818/544323. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z)) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 12819/544341. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b (a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b (a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (a a))) 5. ==[ beta ]==> ((a ((^y.y) a))(b (a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b (a a))) 7. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 12820/544350. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a a) b)) REDUCED to normal form. ------ 12821/544377. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12822/544404. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y) b)) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 12823/544422. ------ 1. ==[ start ]==> ((a (^a.b))(b a)) 2. ==[ alpha ]==> ((a (^x.b))(b a)) REDUCED to normal form. ------ 12824/544440. ------ 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. ------ 12825/544467. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.a)(^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. ------ 12826/544494. ------ 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. ------ 12827/544605. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 12828/544767. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((a a) a))) 3. ==[ beta ]==> (^y.(^z.((a a) a))) 4. ==[ alpha ]==> (^x.(^y.((a a) a))) REDUCED to normal form. ------ 12829/546225. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12830/546414. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 12831/546417. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 12832/546459. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))(^y1.(^z1.z1)))(^y.y)) 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. ------ 12833/546576. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)((a a) a))) 3. ==[ beta ]==> (^y.((^z.z)((a a) a))) 4. ==[ alpha ]==> (^x.((^y.y)((a a) a))) 5. ==[ beta ]==> (^x.((a a) a)) REDUCED to normal form. ------ 12834/546579. ------ 1. ==[ start ]==> ((a (^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 12835/546741. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.a))) 5. ==[ beta ]==> (a (^y.(^z.a))) 6. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 12836/546750. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((y y) y))) REDUCED to normal form. ------ 12837/546918. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((((^x1.x1)(^y1.y1))(^z1.z1))(((^x2.x2)(^y2.y2))(^z2.z2)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((((^x1.x1)(^y1.y1))(^z1.z1))(((^x2.x2)(^y2.y2))(^z2.z2)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((((^z.z)(^x1.x1))(^y1.y1))(((^z1.z1)(^x2.x2))(^y2.y2)))) 7. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))(^y1.y1))(((^z1.z1)(^x2.x2))(^y2.y2)))) 8. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))(^x1.x1))(((^y1.y1)(^z1.z1))(^x2.x2)))) 9. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.x1))(((^y1.y1)(^z1.z1))(^x2.x2))) 10. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 11. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 12. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 13. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.y1))) 14. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 15. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 16. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 17. ==[ beta ]==> ((^y.y)(^z.z)) 18. ==[ alpha ]==> ((^x.x)(^y.y)) 19. ==[ beta ]==> (^y.y) 20. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12838/547038. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^x.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 12839/547143. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 12840/547308. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 12841/547416. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 7. ==[ beta ]==> (^y.(a (a a))) 8. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 12842/547533. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z (z z)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 7. ==[ beta ]==> (^y.(y (y y))) 8. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 12843/547701. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)(^y.a))) 3. ==[ beta ]==> ((((a a)(^y.a))((a a)(^y.a)))((a a)(^y.a))) 4. ==[ alpha ]==> ((((a a)(^x.a))((a a)(^y.a)))((a a)(^z.a))) REDUCED to normal form. ------ 12844/547794. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.a))) 5. ==[ beta ]==> (a (^z.(^x1.a))) 6. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 12845/547875. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.y))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.y))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.x))) REDUCED to normal form. ------ 12846/547992. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.(a (^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. ------ 12847/548034. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12848/548037. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 12849/548109. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.a)) 3. ==[ beta ]==> ((a (a (a a)))(^y.a)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.a)) REDUCED to normal form. ------ 12850/548157. ------ 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)))) 5. ==[ beta ]==> (a (a (a (a a)))) REDUCED to normal form. ------ 12851/548184. ------ 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. ------ 12852/548202. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (^y.a))) 3. ==[ beta ]==> ((a a)(b (^y.a))) 4. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 12853/548211. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 12854/548229. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 12855/548247. ------ 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. ------ 12856/548274. ------ 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)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 12857/548283. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12858/548310. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 12859/548337. ------ 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)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 12860/548364. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))((^y1.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. ------ 12861/548391. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a (^x.a))((a a) a)) REDUCED to normal form. ------ 12862/548409. ------ 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. ------ 12863/548436. ------ 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))((^z.z) b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) b)) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 12864/548472. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 12865/548499. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 12866/548508. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (a (a a)))) REDUCED to normal form. ------ 12867/548535. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 12868/548562. ------ 1. ==[ start ]==> (((a a)(^b.a))(a ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(a ((a a) a))) REDUCED to normal form. ------ 12869/548589. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 12870/548616. ------ 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. ------ 12871/548733. ------ 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)))((^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. ------ 12872/548742. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((^y.(^z.z))(a a))((^y.(^z.z))(a a))) 6. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 9. ==[ beta ]==> ((^y.(^z.z))(a a)) 10. ==[ alpha ]==> ((^x.(^y.y))(a a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12873/548769. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 12874/548805. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c d)) 2. ==[ alpha ]==> ((((^x.x) a) b)(c d)) 3. ==[ beta ]==> ((a b)(c d)) REDUCED to normal form. ------ 12875/548823. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12876/548850. ------ 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))((^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. ------ 12877/548877. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))(^a.a))) 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. ------ 12878/548931. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 12879/548958. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 12880/549003. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 12881/549030. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z)) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y)) b)) 5. ==[ beta ]==> ((a (a (^x.x)))(b b)) REDUCED to normal form. ------ 12882/549048. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 12883/549057. ------ 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. ------ 12884/549093. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12885/549120. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 12886/549174. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 7. ==[ beta ]==> ((^y.a)(a (^z.z))) 8. ==[ alpha ]==> ((^x.a)(a (^y.y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 12887/549183. ------ 1. ==[ start ]==> (((a (a a)) b)(c c)) REDUCED to normal form. ------ 12888/549228. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 7. ==[ beta ]==> ((^y.y)(a (a a))) 8. ==[ alpha ]==> ((^x.x)(a (a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 12889/549255. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12890/549291. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.a))(c (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))(c (a (^y.y)))) REDUCED to normal form. ------ 12891/549309. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 12892/549318. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 12893/549345. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 12894/549381. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a) b)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 12895/549462. ------ 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. ------ 12896/549489. ------ 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. ------ 12897/549516. ------ 1. ==[ start ]==> ((a ((a a) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.a))) REDUCED to normal form. ------ 12898/549552. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)(^a.a))) 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. ------ 12899/549606. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(^x1.a))) 5. ==[ beta ]==> (a ((^z.z)(^x1.a))) 6. ==[ alpha ]==> (a ((^x.x)(^y.a))) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 12900/549642. ------ 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))) REDUCED to normal form. ------ 12901/549669. ------ 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. ------ 12902/549687. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(a (^y.a))) 3. ==[ beta ]==> (((a a) a)(a (^y.a))) 4. ==[ alpha ]==> (((a a) a)(a (^x.a))) REDUCED to normal form. ------ 12903/549714. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12904/549723. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b b)) REDUCED to normal form. ------ 12905/549768. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((^y.y) 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. ------ 12906/549777. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (a a))) REDUCED to normal form. ------ 12907/549804. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a (a (^a.a)))) 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. ------ 12908/549831. ------ 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. ------ 12909/549849. ------ 1. ==[ start ]==> ((a (^a.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 12910/549867. ------ 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. ------ 12911/549894. ------ 1. ==[ start ]==> (((a (^a.a))((^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)) REDUCED to normal form. ------ 12912/549921. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.a) 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. ------ 12913/549947. ------ 1. ==[ start ]==> (^a.((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (^x.((x (x x))((^y.y) x))) 3. ==[ beta ]==> (^x.((x (x x)) x)) REDUCED to normal form. ------ 12914/549948. ------ 1. ==[ start ]==> (a ((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (a ((a (a a))((^x.x) a))) 3. ==[ beta ]==> (a ((a (a a)) a)) REDUCED to normal form. ------ 12915/550203. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.a))) 4. ==[ alpha ]==> (^x.(^y.(^z.a))) REDUCED to normal form. ------ 12916/551661. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.b)) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.z)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12917/551763. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a)) a) 2. ==[ alpha ]==> (((a (a a))((^x.x) a)) a) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 12918/551769. ------ 1. ==[ start ]==> ((^a.a)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a (a a))((^y.y) a)) 4. ==[ alpha ]==> ((a (a a))((^x.x) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 12919/551796. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((((^y.y) a)(a (a a)))(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)(a (a a)))) 6. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(a (a a)))) 7. ==[ beta ]==> ((a (a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 12920/551823. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 12921/551871. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 12922/552021. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(^z.a))) 3. ==[ beta ]==> (^y.((a a)(^z.a))) 4. ==[ alpha ]==> (^x.((a a)(^y.a))) REDUCED to normal form. ------ 12923/552024. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 12924/552195. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 12925/552492. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 12926/552636. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^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)(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 12927/552714. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12928/552870. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 12929/552978. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 12930/553146. ------ 1. ==[ start ]==> ((^a.((a a) a))(b c)) 2. ==[ alpha ]==> ((^x.((x x) x))(b c)) 3. ==[ beta ]==> (((b c)(b c))(b c)) REDUCED to normal form. ------ 12931/553239. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.z)) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.z)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 12932/553320. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.c)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.c)) 3. ==[ beta ]==> (((a a) a)(^y.c)) 4. ==[ alpha ]==> (((a a) a)(^x.c)) REDUCED to normal form. ------ 12933/553383. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 12934/553437. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 12935/553479. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 12936/553482. ------ 1. ==[ start ]==> ((a (^a.b))(^b.b)) 2. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 12937/553527. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 12938/553554. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(y y))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(y y))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(x x))) REDUCED to normal form. ------ 12939/553581. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.a)) 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. ------ 12940/553593. ------ 1. ==[ start ]==> ((a a)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a a)((a (a a))((^x.x) a))) 3. ==[ beta ]==> ((a a)((a (a a)) a)) REDUCED to normal form. ------ 12941/553620. ------ 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. ------ 12942/553647. ------ 1. ==[ start ]==> ((a b)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)((a (^x.x))(^z.z))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 12943/553665. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 12944/553692. ------ 1. ==[ start ]==> (((^a.a) b)(a (^a.b))) 2. ==[ alpha ]==> (((^x.x) b)(a (^y.b))) 3. ==[ beta ]==> (b (a (^y.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 12945/553737. ------ 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.(^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. ------ 12946/553746. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 12947/553764. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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. ------ 12948/553773. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a ((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a ((^y.y) a))) 7. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 12949/553791. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 12950/553800. ------ 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. ------ 12951/553818. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 12952/553827. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((^y1.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. ------ 12953/553845. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 12954/553881. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)(^a.a))) 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. ------ 12955/553926. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a)) c)) 3. ==[ beta ]==> ((^y.a)((a (a a)) c)) 4. ==[ alpha ]==> ((^x.a)((a (a a)) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 12956/553962. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 12957/553989. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 12958/554016. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(^c.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. ------ 12959/554106. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(a ((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)(a ((^x.x) a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 12960/554133. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 12961/554160. ------ 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. ------ 12962/554196. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.x1))(((^y.y)(^z.z))(^x1.x1))) 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. ------ 12963/554223. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 12964/554259. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 12965/554277. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 12966/554286. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 12967/554304. ------ 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. ------ 12968/554313. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 12969/554331. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^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. ------ 12970/554340. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))(^a.a))) 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. ------ 12971/554367. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 12972/554394. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 12973/554430. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (a (a a)))) REDUCED to normal form. ------ 12974/554457. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a ((^a.a)(^a.a)))) 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)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 12975/554484. ------ 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. ------ 12976/554511. ------ 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. ------ 12977/554538. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 12978/554628. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 12979/554637. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 12980/554664. ------ 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 (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 12981/554682. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 12982/554691. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 12983/554709. ------ 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)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 12984/554718. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 12985/554745. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 12986/554772. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 12987/554799. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 12988/554835. ------ 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)(^y.y))(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 12989/554862. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 12990/554889. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((a a)((^y.y) a))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x) a))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 12991/554970. ------ 1. ==[ start ]==> ((a ((a a) a))(b c)) REDUCED to normal form. ------ 12992/555006. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a) a)) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 12993/555060. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a) c)) 5. ==[ beta ]==> (a ((a a) c)) REDUCED to normal form. ------ 12994/555096. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c (^z.z))) 3. ==[ beta ]==> (((^y.y) 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. ------ 12995/555123. ------ 1. ==[ start ]==> ((((a a) a) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 12996/555168. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^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. ------ 12997/555177. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 12998/555204. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 12999/555222. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z)) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z)) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z)) a)) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z)) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y)) a)) 7. ==[ beta ]==> ((a a)((a (^y.y)) a)) 8. ==[ alpha ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 13000/555231. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 13001/555258. ------ 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)(^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. ------ 13002/555285. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 13003/555303. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a) b)) 2. ==[ alpha ]==> ((a (^x.b))((^y.y) b)) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 13004/555321. ------ 1. ==[ start ]==> (((a a)((a a) a))(b a)) REDUCED to normal form. ------ 13005/555348. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 13006/555375. ------ 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. ------ 13007/555402. ------ 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. ------ 13008/557124. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13009/557226. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a)) b) 2. ==[ alpha ]==> (((a (a a))((^x.x) a)) b) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 13010/557250. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 13011/557295. ------ 1. ==[ start ]==> ((^a.b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(c (^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 13012/557331. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 13013/557352. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.b))) REDUCED to normal form. ------ 13014/557514. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 13015/557565. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^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. ------ 13016/557685. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((^y.y)(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 13017/557736. ------ 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. ------ 13018/558060. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c ((^x1.x1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 13019/558108. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 13020/558342. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 13021/558567. ------ 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. ------ 13022/558618. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1))))((^x2.(^y2.y2))(a (^z2.z2)))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(a (^z1.z1))))((^x2.(^y2.y2))(a (^z2.z2)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a (^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 7. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 8. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13023/558951. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13024/558954. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(a a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(a a))) REDUCED to normal form. ------ 13025/558972. ------ 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. ------ 13026/558999. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 13027/559026. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(^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. ------ 13028/559053. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 13029/559083. ------ 1. ==[ start ]==> ((a (^a.a))((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. ------ 13030/559110. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^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. ------ 13031/559128. ------ 1. ==[ start ]==> ((a b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 13032/559137. ------ 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. ------ 13033/559164. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 13034/559182. ------ 1. ==[ start ]==> (((a a)(a a))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(a a))(a (^x.b))) REDUCED to normal form. ------ 13035/559200. ------ 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)(((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. ------ 13036/559227. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 13037/559254. ------ 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. ------ 13038/559281. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 13039/559308. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 13040/559344. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 13041/559362. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a) a)) 3. ==[ beta ]==> ((^y.y)(((a a) a) a)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 13042/559398. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 13043/559488. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a (b ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (a (b ((^x.x)(^y.y)))) 7. ==[ beta ]==> (a (b (^y.y))) 8. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 13044/559515. ------ 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)(a ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 13045/559551. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^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. ------ 13046/559569. ------ 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. ------ 13047/559641. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 13048/559740. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((a b)(a (^y.a))) 6. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 13049/559767. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 13050/559794. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 13051/559821. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 13052/559848. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 13053/559893. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c ((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(c a)) REDUCED to normal form. ------ 13054/559911. ------ 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. ------ 13055/559938. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)(^b.(^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. ------ 13056/559983. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 13057/560028. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13058/560055. ------ 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. ------ 13059/560118. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 13060/560145. ------ 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. ------ 13061/560172. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 13062/560199. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (a a)) a)) REDUCED to normal form. ------ 13063/560226. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a) b)) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a) b)) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a) b)) 5. ==[ beta ]==> ((a (^x.a))(a b)) REDUCED to normal form. ------ 13064/560370. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.a))) 3. ==[ beta ]==> ((a ((^y.y) a))(b (^z.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.a))) 5. ==[ beta ]==> ((a a)(b (^y.a))) 6. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 13065/560397. ------ 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. ------ 13066/560424. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a a))) 5. ==[ beta ]==> ((a a)((^y.a)(a a))) 6. ==[ alpha ]==> ((a a)((^x.a)(a a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 13067/560451. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 13068/560541. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (a (^z.z)))) 5. ==[ beta ]==> (a (b (a (^z.z)))) 6. ==[ alpha ]==> (a (b (a (^x.x)))) REDUCED to normal form. ------ 13069/560577. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a) a)) 3. ==[ beta ]==> (((^y.y) b)((^z.a) a)) 4. ==[ alpha ]==> (((^x.x) b)((^y.a) a)) 5. ==[ beta ]==> (b ((^y.a) a)) 6. ==[ alpha ]==> (b ((^x.a) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 13070/560604. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y)) b)) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 13071/560622. ------ 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. ------ 13072/560658. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 13073/560685. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 13074/560712. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y)) a)) REDUCED to normal form. ------ 13075/560739. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a) b)) 5. ==[ beta ]==> ((^y.(^z.z))((a a) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13076/560766. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 13077/560784. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(a a))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(a a))) REDUCED to normal form. ------ 13078/560802. ------ 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. ------ 13079/560829. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.a)(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. ------ 13080/560856. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 13081/560883. ------ 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. ------ 13082/560900. ------ 1. ==[ start ]==> (^a.((^b.(^a.a)) c)) 2. ==[ alpha ]==> (^x.((^y.(^z.z)) c)) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 13083/560901. ------ 1. ==[ start ]==> (a ((^b.(^a.a)) c)) 2. ==[ alpha ]==> (a ((^x.(^y.y)) c)) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 13084/562740. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((^y.(^z.z)) c) 4. ==[ alpha ]==> ((^x.(^y.y)) c) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13085/562830. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 13086/562842. ------ 1. ==[ start ]==> (((^a.a) b)(^c.((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. ------ 13087/562875. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^z.z))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 13088/562992. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^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. ------ 13089/563064. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1)) b)) 3. ==[ eta ]==> ((^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. ------ 13090/563184. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 13091/563193. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((x1 x1) x1))) REDUCED to normal form. ------ 13092/563481. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.((^a.a)(^a.a)))) 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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 13093/563559. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 13094/563685. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13095/563859. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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))) REDUCED to normal form. ------ 13096/564117. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1))))((a (^x2.x2))(^y2.(^z2.z2)))) REDUCED to normal form. ------ 13097/564156. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 13098/564246. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.((^a.a) a))) 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. ------ 13099/564318. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 13100/564372. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(a (^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(a (^z.z)))) 8. ==[ alpha ]==> ((a a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 13101/564381. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.c)) REDUCED to normal form. ------ 13102/564435. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 13103/564450. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (^z.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13104/564471. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.b)) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 13105/564552. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.a)) 3. ==[ beta ]==> (((a (a a)) a)(^y.a)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.a)) REDUCED to normal form. ------ 13106/564582. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a a)((^x.(^y.y)) c)) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 13107/564600. ------ 1. ==[ start ]==> (((^a.a) a)((a (a a))((^a.a) 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. ------ 13108/564627. ------ 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. ------ 13109/564654. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 13110/564672. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 13111/564681. ------ 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. ------ 13112/564717. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 13113/564753. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 13114/564780. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))(a ((^z.z) a))) 8. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 9. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 13115/564807. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 13116/564834. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^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. ------ 13117/564879. ------ 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. ------ 13118/564906. ------ 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 a)(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 13119/564915. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 13120/564942. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 13121/564996. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))(^b.(^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. ------ 13122/565005. ------ 1. ==[ start ]==> (((a a)(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 13123/565032. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((a a) a))) REDUCED to normal form. ------ 13124/565059. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(^a.a))(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 (^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 13125/565167. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)((a 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. ------ 13126/565212. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13127/565266. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 7. ==[ beta ]==> ((^y.a)((^z.z) a)) 8. ==[ alpha ]==> ((^x.a)((^y.y) a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 13128/565293. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 13129/565320. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)((^y1.y1)(^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. ------ 13130/565374. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 13131/565401. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 13132/565473. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 13133/565491. ------ 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. ------ 13134/565500. ------ 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. ------ 13135/565527. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.a) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.a) c)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 13136/565536. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 13137/565563. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 13138/565617. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 7. ==[ beta ]==> ((^y.(y y))(a a)) 8. ==[ alpha ]==> ((^x.(x x))(a a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 13139/565671. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) 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. ------ 13140/565698. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 13141/565752. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 13142/565788. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> ((^y.y)(b ((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 13143/565824. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y)) a)) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 13144/565851. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a) b)) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 13145/565932. ------ 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))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 13146/565959. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 13147/565995. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1) 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. ------ 13148/566049. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 13149/566085. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(a ((^z.z) a))) 3. ==[ beta ]==> (((^y.y) b)(a ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) b)(a ((^y.y) a))) 5. ==[ beta ]==> (b (a ((^y.y) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 13150/566112. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 13151/566130. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 13152/566157. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a (^y1.a))) 3. ==[ beta ]==> ((^y.y)(a (^y1.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 13153/566166. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c a)) REDUCED to normal form. ------ 13154/566193. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b b)) 3. ==[ beta ]==> ((a (^y.(y y)))(b b)) 4. ==[ alpha ]==> ((a (^x.(x x)))(b b)) REDUCED to normal form. ------ 13155/566211. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((a a)((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.x)(a (^y.y)))) 9. ==[ beta ]==> ((a a)(a (^y.y))) 10. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 13156/566220. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a c)) REDUCED to normal form. ------ 13157/566247. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (a a))) 5. ==[ beta ]==> ((^y.(^z.z))(b (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13158/566274. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 13159/566292. ------ 1. ==[ start ]==> ((a (^a.b))(b (^a.a))) 2. ==[ alpha ]==> ((a (^x.b))(b (^y.y))) REDUCED to normal form. ------ 13160/566310. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.a) b)) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x) b)) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 13161/566337. ------ 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))) REDUCED to normal form. ------ 13162/566364. ------ 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. ------ 13163/566391. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a) 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. ------ 13164/566417. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(x (^x1.x1)))) 3. ==[ beta ]==> (^x.((^z.z)(x (^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.y)(x (^z.z)))) 5. ==[ beta ]==> (^x.(x (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 13165/566418. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (a (((^x.x)(^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. ------ 13166/568260. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a))) a) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z))) a) 3. ==[ beta ]==> (((^y.y)(a (^z.z))) a) 4. ==[ alpha ]==> (((^x.x)(a (^y.y))) a) 5. ==[ beta ]==> ((a (^y.y)) a) 6. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 13167/568266. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 13168/568275. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13169/568293. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((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))) 5. ==[ beta ]==> (((a (a a)) a)((a (a a))((^y.y) a))) 6. ==[ alpha ]==> (((a (a a)) a)((a (a a))((^x.x) a))) 7. ==[ beta ]==> (((a (a a)) a)((a (a a)) a)) REDUCED to normal form. ------ 13170/568320. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 13171/568395. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^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. ------ 13172/568518. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 13173/568557. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 13174/568719. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 13175/568761. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 13176/568860. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((a a)((^y.y)(^z.z)))((a a)((^y.y)(^z.z))))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)((^z.z)(^x1.x1)))((a a)((^y1.y1)(^z1.z1))))) 5. ==[ beta ]==> (((a a)(^y.y))(((a a)((^z.z)(^x1.x1)))((a a)((^y1.y1)(^z1.z1))))) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a)((^y.y)(^z.z)))((a a)((^x1.x1)(^y1.y1))))) 7. ==[ beta ]==> (((a a)(^x.x))(((a a)(^z.z))((a a)((^x1.x1)(^y1.y1))))) 8. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)((^z.z)(^x1.x1))))) 9. ==[ beta ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)(^x1.x1)))) 10. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 13177/569016. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 13178/569085. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 13179/569160. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.((^a.a)(^a.a)))) 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)))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 13180/569211. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13181/569394. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(a (a a)))) REDUCED to normal form. ------ 13182/569511. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(z (z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 13183/569682. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 13184/569772. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(^b.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. ------ 13185/569844. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.c)) 3. ==[ beta ]==> ((^y.y)(^y1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 13186/569853. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.x1))) REDUCED to normal form. ------ 13187/569907. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 13188/569961. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 13189/569976. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13190/570051. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.b)) 3. ==[ beta ]==> ((a (a (a a)))(^y.b)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.b)) REDUCED to normal form. ------ 13191/570078. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(y y))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(y y))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(x x))) REDUCED to normal form. ------ 13192/570105. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.z)) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 13193/570117. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^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. ------ 13194/570126. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 13195/570144. ------ 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. ------ 13196/570171. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> ((a b)(a (a (a a)))) REDUCED to normal form. ------ 13197/570216. ------ 1. ==[ start ]==> (((^a.a) b)(b (^c.a))) 2. ==[ alpha ]==> (((^x.x) b)(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 13198/570225. ------ 1. ==[ start ]==> (((a a)(a a))((a a)((a a) a))) REDUCED to normal form. ------ 13199/570243. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a (^z.b))) 3. ==[ beta ]==> ((^y.y)(a (^z.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 13200/570261. ------ 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 ]==> ((^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. ------ 13201/570270. ------ 1. ==[ start ]==> (((a a) b)((^c.a)(a a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(a a))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 13202/570288. ------ 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))(^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. ------ 13203/570297. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 13204/570315. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 13205/570324. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((^x1.x1) a)((^x1.x1) 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. ------ 13206/570342. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(x1 x1)))) 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. ------ 13207/570351. ------ 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 (^x.x))(^y.y)) a) REDUCED to normal form. ------ 13208/570369. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 13209/570405. ------ 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)((^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. ------ 13210/570450. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.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 ]==> a REDUCED to normal form. ------ 13211/570486. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 13212/570513. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 13213/570540. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 13214/570612. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 13215/570630. ------ 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. ------ 13216/570657. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 13217/570684. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 13218/570702. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 13219/570711. ------ 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. ------ 13220/570747. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13221/570783. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((a b)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 13222/570801. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 7. ==[ beta ]==> (((^y.y) a)(^z.a)) 8. ==[ alpha ]==> (((^x.x) a)(^y.a)) 9. ==[ beta ]==> (a (^y.a)) 10. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 13223/570810. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 13224/570828. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 13225/570837. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 13226/570855. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 13227/570864. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 13228/570891. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 13229/570909. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (a a)) b)) 3. ==[ beta ]==> (((a a)(a a))((a (a a)) b)) REDUCED to normal form. ------ 13230/570918. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 13231/570936. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a) c)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a c)) REDUCED to normal form. ------ 13232/570981. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b (a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (a (a a)))) REDUCED to normal form. ------ 13233/571008. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 13234/571035. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (a a))(a a))) REDUCED to normal form. ------ 13235/571062. ------ 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 (^y.y))(((^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. ------ 13236/571071. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 13237/571152. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.y1))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 13238/571161. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))(a a))) 3. ==[ beta ]==> (((a (a a)) b)((a a)(a a))) REDUCED to normal form. ------ 13239/571188. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (a ((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> (a ((^x.a)(a (^y.y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 13240/571206. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 7. ==[ beta ]==> ((a (^y.y))(^z.a)) 8. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 13241/571215. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 13242/571233. ------ 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 z)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 13243/571242. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (a a))) REDUCED to normal form. ------ 13244/571269. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(^z.z))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.a))(^z.z)) 8. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 13245/571287. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a) b)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a b)) REDUCED to normal form. ------ 13246/571296. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 13247/571323. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13248/571359. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(a (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 13249/571386. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (a a))) REDUCED to normal form. ------ 13250/571413. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 13251/571440. ------ 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. ------ 13252/571530. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.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. ------ 13253/571584. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z)) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z)) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z)) b)) 5. ==[ beta ]==> (a ((a (^z.z)) b)) 6. ==[ alpha ]==> (a ((a (^x.x)) b)) REDUCED to normal form. ------ 13254/571620. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^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. ------ 13255/571665. ------ 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)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 13256/571701. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.a))) REDUCED to normal form. ------ 13257/571728. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 13258/571746. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 13259/571755. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.y))) REDUCED to normal form. ------ 13260/571782. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.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. ------ 13261/571809. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 13262/571827. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 13263/571845. ------ 1. ==[ start ]==> (((a a)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 13264/571872. ------ 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)) REDUCED to normal form. ------ 13265/571899. ------ 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. ------ 13266/571926. ------ 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. ------ 13267/571953. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a a)) 5. ==[ beta ]==> ((a (^y.y))(a a)) 6. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 13268/572100. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> ((^z.(^x1.b))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.b))(^z.z)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13269/573675. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13270/573804. ------ 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) REDUCED to normal form. ------ 13271/573828. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13272/573909. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 13273/573954. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (^z.b))) 3. ==[ beta ]==> ((a (^z.b))(^y.y)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 13274/573957. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 13275/574110. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^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. ------ 13276/574119. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((a a) a))) REDUCED to normal form. ------ 13277/574314. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 13278/574413. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((b (^y.(^z.z)))(b (^y.(^z.z))))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((b (^z.(^x1.x1)))(b (^y1.(^z1.z1))))) REDUCED to normal form. ------ 13279/574569. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 13280/574713. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 13281/575064. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 13282/575172. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 13283/575196. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)(a a))) 3. ==[ beta ]==> ((((^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))) 5. ==[ beta ]==> ((a ((^y.a)(a a)))((^z.a)(a a))) 6. ==[ alpha ]==> ((a ((^x.a)(a a)))((^y.a)(a a))) 7. ==[ beta ]==> ((a a)((^y.a)(a a))) 8. ==[ alpha ]==> ((a a)((^x.a)(a a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 13284/575325. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.c)) 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. ------ 13285/575406. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.c)) REDUCED to normal form. ------ 13286/575460. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 13287/575529. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (a (^z.z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13288/575532. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(y (^z.z)))) REDUCED to normal form. ------ 13289/575577. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 13290/575604. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(a a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(a a))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(a a))) REDUCED to normal form. ------ 13291/575631. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 13292/575658. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 13293/575688. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))((^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. ------ 13294/575697. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) c)) 3. ==[ beta ]==> (a ((^y.(^z.z)) c)) 4. ==[ alpha ]==> (a ((^x.(^y.y)) c)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 13295/575715. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((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. ------ 13296/575742. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a (a a)))) REDUCED to normal form. ------ 13297/575769. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 13298/575787. ------ 1. ==[ start ]==> (((a a)(a a))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(a a))(b (^x.a))) REDUCED to normal form. ------ 13299/575814. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.b))) REDUCED to normal form. ------ 13300/575832. ------ 1. ==[ start ]==> (((a a) b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 13301/575859. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 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. ------ 13302/575886. ------ 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. ------ 13303/575913. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(z z)))) REDUCED to normal form. ------ 13304/575949. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 13305/575967. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((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. ------ 13306/575976. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a) a)) REDUCED to normal form. ------ 13307/576048. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a)) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a)) c)) REDUCED to normal form. ------ 13308/576120. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 13309/576174. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.(x x)))((^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. ------ 13310/576273. ------ 1. ==[ start ]==> ((a (a (a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 13311/576282. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(^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)(^x.x))((a a)(^z.z))) 10. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 13312/576345. ------ 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. ------ 13313/576372. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) 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. ------ 13314/576399. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 13315/576426. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 13316/576453. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 13317/576480. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a)) b)) REDUCED to normal form. ------ 13318/576516. ------ 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. ------ 13319/576543. ------ 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)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 13320/576570. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.a)(^b.(^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. ------ 13321/576588. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 13322/576633. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^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 ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13323/576660. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.x1))((^y1.y1) a))) 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. ------ 13324/576723. ------ 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. ------ 13325/576750. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 13326/576777. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 13327/576804. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 13328/576831. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a)) a)) 3. ==[ beta ]==> ((a (^y.a))((a (a a)) a)) 4. ==[ alpha ]==> ((a (^x.a))((a (a a)) a)) REDUCED to normal form. ------ 13329/576858. ------ 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. ------ 13330/576921. ------ 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)(^y.y))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 13331/577002. ------ 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. ------ 13332/577029. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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. ------ 13333/577056. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(a a))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 13334/577092. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 13335/577146. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (a a))) 5. ==[ beta ]==> (a (c (a a))) REDUCED to normal form. ------ 13336/577182. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a) c)) 3. ==[ beta ]==> (((^y.y) b)((a a) c)) 4. ==[ alpha ]==> (((^x.x) b)((a a) c)) 5. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 13337/577209. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a) a)) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 13338/577227. ------ 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))) REDUCED to normal form. ------ 13339/577254. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 13340/577263. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a) 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. ------ 13341/577290. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 13342/577308. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b b)) 5. ==[ beta ]==> ((a ((^y.y) a))(b b)) 6. ==[ alpha ]==> ((a ((^x.x) a))(b b)) 7. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 13343/577317. ------ 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. ------ 13344/577344. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13345/577371. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a) b)) REDUCED to normal form. ------ 13346/577389. ------ 1. ==[ start ]==> ((a (^a.b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(a (a (^y.y)))) REDUCED to normal form. ------ 13347/577407. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (^a.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(b (^x.x))) REDUCED to normal form. ------ 13348/577434. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 13349/577461. ------ 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. ------ 13350/577488. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)(^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. ------ 13351/577515. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (^z.z))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 13352/579246. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13353/579426. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((^y.(^z.z)) c)((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((^x.(^y.y)) c)((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 7. ==[ beta ]==> ((^y.(^z.z)) c) 8. ==[ alpha ]==> ((^x.(^y.y)) c) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13354/579546. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 13355/579651. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(a (a a)))) 3. ==[ beta ]==> (^y.((^z.a)(a (a a)))) 4. ==[ alpha ]==> (^x.((^y.a)(a (a a)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 13356/579723. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a) a)) 3. ==[ eta ]==> ((^y.y)(((a a) a) a)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 13357/579879. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((z z) z))) 3. ==[ beta ]==> ((a (^y.y))(^z.((z z) z))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 13358/580032. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 13359/580218. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 13360/580311. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.((^a.a)(^a.a)))) 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)(^x.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 13361/580344. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(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. ------ 13362/580437. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 13363/580776. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) 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. ------ 13364/580932. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.((^a.a) a))) 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. ------ 13365/580986. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 13366/581109. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13367/581112. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 13368/581157. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 13369/581238. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^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)) REDUCED to normal form. ------ 13370/581286. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^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 ((^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. ------ 13371/581295. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) c)) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 13372/581313. ------ 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. ------ 13373/581340. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 13374/581367. ------ 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. ------ 13375/581394. ------ 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)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 13376/581412. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13377/581466. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^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. ------ 13378/581493. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^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. ------ 13379/581520. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 13380/581538. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 13381/581592. ------ 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. ------ 13382/581601. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)(^a.a))) 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. ------ 13383/581628. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^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. ------ 13384/581682. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (a ((^y.a)(^z.(z z)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(y y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 13385/581691. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (a (a a)))) REDUCED to normal form. ------ 13386/581709. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 13387/581718. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b ((^x1.x1)(^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. ------ 13388/581745. ------ 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. ------ 13389/581781. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 13390/581853. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y))(a (a a)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 13391/581871. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((b (^y.(^z.z)))(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 13392/581898. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(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. ------ 13393/581952. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 8. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 9. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 13394/581979. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 13395/582006. ------ 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 (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. ------ 13396/582060. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))(^a.a))) 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. ------ 13397/582087. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 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. ------ 13398/582177. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a ((^a.a)(^a.a)))) 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)))) 5. ==[ beta ]==> ((b b)(a (^y.y))) 6. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 13399/582186. ------ 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. ------ 13400/582213. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z)) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) b)) 5. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 13401/582303. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 13402/582357. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 7. ==[ beta ]==> ((^y.a)(a (^z.z))) 8. ==[ alpha ]==> ((^x.a)(a (^y.y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 13403/582366. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c c)) REDUCED to normal form. ------ 13404/582384. ------ 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)((^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. ------ 13405/582438. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 13406/582537. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 13407/582564. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a) b)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a) b)) 5. ==[ beta ]==> ((a a)((^y.a) b)) 6. ==[ alpha ]==> ((a a)((^x.a) b)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 13408/582645. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) 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. ------ 13409/582681. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13410/582735. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^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. ------ 13411/582771. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.y) b)(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)(b (a (^y.y)))) 5. ==[ beta ]==> (b (b (a (^y.y)))) 6. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 13412/582798. ------ 1. ==[ start ]==> ((((a a) a) a)(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)(a ((^x.x) a))) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 13413/582843. ------ 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)(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 13414/582852. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a (^x1.x1)))) REDUCED to normal form. ------ 13415/582897. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(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))) 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. ------ 13416/582906. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b b)) REDUCED to normal form. ------ 13417/582960. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b (a a))) REDUCED to normal form. ------ 13418/582978. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 13419/582996. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^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. ------ 13420/583023. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (((a (^x.x))(^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. ------ 13421/583050. ------ 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. ------ 13422/583077. ------ 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. ------ 13423/583104. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.a) 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. ------ 13424/583130. ------ 1. ==[ start ]==> (^a.(((a a) a)(a a))) 2. ==[ alpha ]==> (^x.(((x x) x)(x x))) REDUCED to normal form. ------ 13425/583131. ------ 1. ==[ start ]==> (a (((a a) a)(a a))) REDUCED to normal form. ------ 13426/584844. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.b)) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13427/585000. ------ 1. ==[ start ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 13428/585006. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 13429/585033. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 7. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 9. ==[ beta ]==> ((a (^x.x))((^z.z)(a (^x1.x1)))) 10. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 11. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 12. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 13430/585060. ------ 1. ==[ start ]==> ((^a.b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((a (a a))((^y.y) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 13431/585141. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)((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. ------ 13432/585162. ------ 1. ==[ start ]==> (((a a) b)(^a.(^a.b))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.b))) REDUCED to normal form. ------ 13433/585258. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (^x.(a (^z.(z z)))) 6. ==[ alpha ]==> (^x.(a (^y.(y y)))) REDUCED to normal form. ------ 13434/585486. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.(^c.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. ------ 13435/585600. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a (^y.y))(a (a a)))((a (^z.z))(a (a a))))) REDUCED to normal form. ------ 13436/585783. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 13437/585825. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 13438/585918. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 13439/585927. ------ 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. ------ 13440/585951. ------ 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. ------ 13441/586053. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 13442/586161. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(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)))) REDUCED to normal form. ------ 13443/586278. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(y (y y)))) REDUCED to normal form. ------ 13444/586539. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.a))) REDUCED to normal form. ------ 13445/586620. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 13446/586674. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13447/586716. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((a a) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13448/586719. ------ 1. ==[ start ]==> ((a (^a.b))(^c.b)) 2. ==[ alpha ]==> ((a (^x.b))(^y.b)) REDUCED to normal form. ------ 13449/586737. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 13450/586818. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.b)) 3. ==[ beta ]==> (((a (a a)) a)(^y.b)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.b)) REDUCED to normal form. ------ 13451/586845. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(z z))) 5. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 13452/586872. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 13453/586884. ------ 1. ==[ start ]==> ((a a)(((a a) a)(a a))) REDUCED to normal form. ------ 13454/586911. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 13455/586920. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 13456/586938. ------ 1. ==[ start ]==> ((a b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a b)((a (a a))((^x.x) a))) 3. ==[ beta ]==> ((a b)((a (a a)) a)) REDUCED to normal form. ------ 13457/586983. ------ 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. ------ 13458/586992. ------ 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. ------ 13459/587010. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b (^z.a))) 3. ==[ beta ]==> ((^y.y)(b (^z.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 13460/587019. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)((a a) a))) REDUCED to normal form. ------ 13461/587037. ------ 1. ==[ start ]==> (((a a) b)(a (^a.b))) 2. ==[ alpha ]==> (((a a) b)(a (^x.b))) REDUCED to normal form. ------ 13462/587055. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((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. ------ 13463/587082. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 13464/587091. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 13465/587109. ------ 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 (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. ------ 13466/587118. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 13467/587136. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.a))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 13468/587172. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^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. ------ 13469/587217. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a) a)) 3. ==[ beta ]==> ((^y.a)(((a a) a) a)) 4. ==[ alpha ]==> ((^x.a)(((a a) a) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 13470/587244. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 13471/587253. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 13472/587280. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((a a)((^y.a)(^y.a))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 13473/587307. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 13474/587334. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^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. ------ 13475/587397. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 13476/587424. ------ 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. ------ 13477/587451. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(a ((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))(a ((^x.x) a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 13478/587478. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 13479/587550. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 13480/587568. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 13481/587577. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a (a a)) a)((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 13482/587595. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((a (a a))(a (^y.a))) 6. ==[ alpha ]==> ((a (a a))(a (^x.a))) REDUCED to normal form. ------ 13483/587604. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 13484/587622. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.x1))(^y1.(y1 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. ------ 13485/587631. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 13486/587658. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 13487/587676. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a a)(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. ------ 13488/587685. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))(^a.a))) 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. ------ 13489/587703. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 13490/587775. ------ 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. ------ 13491/587793. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(^b.(^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. ------ 13492/587802. ------ 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. ------ 13493/587829. ------ 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. ------ 13494/587838. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13495/587865. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 13496/587928. ------ 1. ==[ start ]==> (((a (a a)) b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 13497/587955. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a a))) 5. ==[ beta ]==> (a ((^y.(y y))(a a))) 6. ==[ alpha ]==> (a ((^x.(x x))(a a))) 7. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 13498/587973. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 13499/587982. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 13500/588000. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (^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. ------ 13501/588009. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 13502/588036. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (^x.a))(a (a a))) REDUCED to normal form. ------ 13503/588054. ------ 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 (^y.y)))((a (a a)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 13504/588063. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 13505/588090. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 13506/588126. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 13507/588153. ------ 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. ------ 13508/588180. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(a a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 13509/588207. ------ 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. ------ 13510/588234. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((a a)((^y.y) a))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x) a))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 13511/588297. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 13512/588351. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) 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. ------ 13513/588387. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^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. ------ 13514/588414. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)(^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. ------ 13515/588432. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a) a)) 3. ==[ beta ]==> (((a a) a)((^y.a) a)) 4. ==[ alpha ]==> (((a a) a)((^x.a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 13516/588459. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13517/588468. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 13518/588495. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a (^z.a))) 3. ==[ beta ]==> ((a (^y.(y y)))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 13519/588513. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z))(^x1.x1))) 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))) REDUCED to normal form. ------ 13520/588522. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 13521/588549. ------ 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)(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13522/588576. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a))(^a.a))) 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. ------ 13523/588594. ------ 1. ==[ start ]==> ((a (^a.b))((a a) b)) 2. ==[ alpha ]==> ((a (^x.b))((a a) b)) REDUCED to normal form. ------ 13524/588612. ------ 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. ------ 13525/588639. ------ 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 (^x.x))(^z.z))((a a)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 13526/588666. ------ 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. ------ 13527/588693. ------ 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. ------ 13528/588720. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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. ------ 13529/588747. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 13530/589083. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((a a) a))) 3. ==[ eta ]==> ((^y.y)(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 13531/589254. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((z z) z))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 13532/590136. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((^y.(^z.(z z)))(^y.(^z.(z z))))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((^x.(^y.(y y)))(^z.(^x1.(x1 x1))))(^y1.(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.(y y))(^y1.(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(z z)))) 7. ==[ beta ]==> ((^y.(^z.(z z)))(^y.(^z.(z z)))) 8. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(x1 x1)))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 13533/590625. ------ 1. ==[ start ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 13534/590649. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13535/590730. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 13536/590775. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (^z.a))) 3. ==[ beta ]==> ((b (^z.a))(^y.y)) 4. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 13537/590964. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)((a a) a))) 3. ==[ eta ]==> ((^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. ------ 13538/590967. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.((a a) a))) 3. ==[ beta ]==> ((a a)(^y.((a a) a))) 4. ==[ alpha ]==> ((a a)(^x.((a a) a))) REDUCED to normal form. ------ 13539/591135. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a ((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 13540/591138. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((y y) y))) REDUCED to normal form. ------ 13541/591273. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 13542/591561. ------ 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. ------ 13543/591795. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 13544/591912. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 13545/592017. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (^y.(y y)))) 3. ==[ beta ]==> (((a (^y.(y y)))(a (^y.(y y))))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a (^x.(x x)))(a (^y.(y y))))(a (^z.(z z)))) REDUCED to normal form. ------ 13546/592020. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 13547/592191. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.((^a.a) a))) 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. ------ 13548/592254. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.c)) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.c)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.c)) REDUCED to normal form. ------ 13549/592350. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (a a))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13550/592371. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 13551/592425. ------ 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. ------ 13552/592452. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(a a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(a a))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(a a))) REDUCED to normal form. ------ 13553/592479. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 13554/592506. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 13555/592536. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 13556/592563. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^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. ------ 13557/592572. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 13558/592590. ------ 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. ------ 13559/592617. ------ 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. ------ 13560/592662. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 13561/592671. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((a a) a))) 3. ==[ beta ]==> ((^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. ------ 13562/592707. ------ 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. ------ 13563/592734. ------ 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.(^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. ------ 13564/592761. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.a))) REDUCED to normal form. ------ 13565/592797. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 13566/592815. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 13567/592824. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 13568/592851. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a a)((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 13569/592896. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^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. ------ 13570/593022. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a ((a a) a))) REDUCED to normal form. ------ 13571/593130. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(a (a a)))) 5. ==[ beta ]==> (((a (^y.y))(a (a a)))((a (^y.y))(a (a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 13572/593157. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 13573/593193. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> ((a b)((^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. ------ 13574/593220. ------ 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. ------ 13575/593247. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 13576/593274. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 13577/593301. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 13578/593328. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.z) a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y) a)) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 13579/593364. ------ 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. ------ 13580/593391. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 13581/593418. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 13582/593445. ------ 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. ------ 13583/593481. ------ 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. ------ 13584/593508. ------ 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 (^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. ------ 13585/593562. ------ 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. ------ 13586/593598. ------ 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 ]==> (((^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. ------ 13587/593625. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 13588/593652. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 13589/593679. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 13590/593706. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 13591/593733. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> ((^y.y)(((^z.z) a) b)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 7. ==[ beta ]==> (((^y.y) a) b) 8. ==[ alpha ]==> (((^x.x) a) b) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 13592/593769. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 13593/593796. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.(z z))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(y y))) REDUCED to normal form. ------ 13594/593877. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b (^z.a))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.a))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^y.a))) 5. ==[ beta ]==> ((a a)(b (^y.a))) 6. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 13595/593904. ------ 1. ==[ start ]==> ((a ((a a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(a (^x.(x x)))) REDUCED to normal form. ------ 13596/593940. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c b)) 3. ==[ beta ]==> ((^y.y)(c b)) 4. ==[ alpha ]==> ((^x.x)(c b)) 5. ==[ beta ]==> (c b) REDUCED to normal form. ------ 13597/594030. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z)) b)) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z)) b)) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y)) b)) 5. ==[ beta ]==> (b ((a (^y.y)) b)) 6. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 13598/594075. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(a ((^a.a) 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. ------ 13599/594102. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)((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)) REDUCED to normal form. ------ 13600/594111. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 13601/594165. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 13602/594192. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^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. ------ 13603/594219. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 13604/594237. ------ 1. ==[ start ]==> ((a (^a.b))(b (a a))) 2. ==[ alpha ]==> ((a (^x.b))(b (a a))) REDUCED to normal form. ------ 13605/594255. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.a)(^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. ------ 13606/594282. ------ 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))(^z.z))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 13607/594309. ------ 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. ------ 13608/594336. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y)(a a))) 3. ==[ beta ]==> (((a (a a)) 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. ------ 13609/594363. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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. ------ 13610/594390. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.x))) REDUCED to normal form. ------ 13611/594407. ------ 1. ==[ start ]==> (^a.((^a.b) a)) 2. ==[ alpha ]==> (^x.((^y.b) x)) 3. ==[ eta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13612/594408. ------ 1. ==[ start ]==> (a ((^a.b) a)) 2. ==[ alpha ]==> (a ((^x.b) a)) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 13613/594906. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 13614/596295. ------ 1. ==[ start ]==> (((^a.b) a) a) 2. ==[ alpha ]==> (((^x.b) a) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 13615/596301. ------ 1. ==[ start ]==> ((^a.a)((^a.b) a)) 2. ==[ alpha ]==> ((^x.x)((^y.b) a)) 3. ==[ beta ]==> ((^y.b) a) 4. ==[ alpha ]==> ((^x.b) a) 5. ==[ beta ]==> b REDUCED to normal form. ------ 13616/596355. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 13617/596457. ------ 1. ==[ start ]==> (((a a) b)(^c.((a a) a))) 2. ==[ alpha ]==> (((a a) b)(^x.((a a) a))) REDUCED to normal form. ------ 13618/596475. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^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. ------ 13619/596553. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (^x.((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (^x.(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> (^x.(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (^x.(a ((^z.z) a))) 8. ==[ alpha ]==> (^x.(a ((^y.y) a))) 9. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 13620/596637. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((a a) a))) 3. ==[ beta ]==> ((^y.a)(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.a)(^y.((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 13621/596799. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 13622/597096. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.((^a.a)(^a.a)))) 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))(^x.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 13623/597120. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))(^a.a))) 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. ------ 13624/597246. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13625/597348. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(a (a a)))) REDUCED to normal form. ------ 13626/597474. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 13627/597771. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (a (^z.((^x1.x1) a))) 6. ==[ alpha ]==> (a (^x.((^y.y) a))) 7. ==[ beta ]==> (a (^x.a)) REDUCED to normal form. ------ 13628/597852. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.a))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.a))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.a))) REDUCED to normal form. ------ 13629/597933. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.z))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.z))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.z))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.y))) 7. ==[ beta ]==> ((a a)(^y.(^z.y))) 8. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 13630/598011. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13631/598086. ------ 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. ------ 13632/598167. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.a)) REDUCED to normal form. ------ 13633/598185. ------ 1. ==[ start ]==> (((^a.b) a)(^a.a)) 2. ==[ alpha ]==> (((^x.b) a)(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 13634/598190. ------ 1. ==[ start ]==> (^a.(^a.(a b))) 2. ==[ alpha ]==> (^x.(^y.(y b))) REDUCED to normal form. ------ 13635/598191. ------ 1. ==[ start ]==> (a (^a.(a b))) 2. ==[ alpha ]==> (a (^x.(x b))) REDUCED to normal form. ------ 13636/598197. ------ 1. ==[ start ]==> ((a a)((^a.b) a)) 2. ==[ alpha ]==> ((a a)((^x.b) a)) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 13637/598215. ------ 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. ------ 13638/598242. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 13639/598251. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a b)((^x.(^y.y)) c)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 13640/598269. ------ 1. ==[ start ]==> (((a a)(^a.a))((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. ------ 13641/598296. ------ 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)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 13642/598323. ------ 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)((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. ------ 13643/598341. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13644/598350. ------ 1. ==[ start ]==> (((a a) b)((a a)((a a) a))) REDUCED to normal form. ------ 13645/598368. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(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. ------ 13646/598422. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 13647/598449. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.a))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.a))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.a))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 13648/598467. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 13649/598494. ------ 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. ------ 13650/598530. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)((a a) a))) 3. ==[ beta ]==> ((^y.a)((^z.z)((a a) a))) 4. ==[ alpha ]==> ((^x.a)((^y.y)((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 13651/598611. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.a))) 5. ==[ beta ]==> (a ((^y.(y y))(^z.a))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.a))) 7. ==[ beta ]==> (a ((^y.a)(^y.a))) 8. ==[ alpha ]==> (a ((^x.a)(^y.a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 13652/598638. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 13653/598674. ------ 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 (^x.x))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 13654/598737. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1)) 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. ------ 13655/598782. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((a a)(a ((^y.y) a))) 6. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 13656/598827. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 13657/598881. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((^y.(^z.z))(a a)) 8. ==[ alpha ]==> ((^x.(^y.y))(a a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13658/598908. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 13659/598935. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 13660/598944. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c d)) REDUCED to normal form. ------ 13661/598989. ------ 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)(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. ------ 13662/599016. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))(^a.a))) 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. ------ 13663/599034. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (a a)) b)) REDUCED to normal form. ------ 13664/599106. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b (a (a a)))) 3. ==[ beta ]==> ((b b)(b (a (a a)))) REDUCED to normal form. ------ 13665/599142. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 13666/599232. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(b (^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 13667/599241. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)(a (a a)))) REDUCED to normal form. ------ 13668/599286. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 7. ==[ beta ]==> ((^y.(y y))(a a)) 8. ==[ alpha ]==> ((^x.(x x))(a a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 13669/599313. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 13670/599367. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 13671/599493. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z)) a)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z)) a)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y)) a)) 5. ==[ beta ]==> ((a a)((^y.(y y)) a)) 6. ==[ alpha ]==> ((a a)((^x.(x x)) a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 13672/599520. ------ 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. ------ 13673/599610. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.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 REDUCED to normal form. ------ 13674/599664. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (a ((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 13675/599700. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c (a a))) 3. ==[ beta ]==> (((^y.y) b)(c (a a))) 4. ==[ alpha ]==> (((^x.x) b)(c (a a))) 5. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 13676/599727. ------ 1. ==[ start ]==> ((((a a) a) a)(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(b (a (^x.x)))) REDUCED to normal form. ------ 13677/599745. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 13678/599781. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 13679/599808. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 13680/599826. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a (^z.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a (^z.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (^z.a))) 5. ==[ beta ]==> ((a ((^y.y) a))(a (^z.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.a))) 7. ==[ beta ]==> ((a a)(a (^y.a))) 8. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 13681/599835. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c a)) REDUCED to normal form. ------ 13682/599862. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 13683/599907. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 13684/599925. ------ 1. ==[ start ]==> (((a a)((a a) a))((a a) b)) REDUCED to normal form. ------ 13685/599952. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 13686/599979. ------ 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. ------ 13687/600006. ------ 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. ------ 13688/600033. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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. ------ 13689/600060. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.x) a)) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 13690/600078. ------ 1. ==[ start ]==> (((^a.b) a)(a a)) 2. ==[ alpha ]==> (((^x.b) a)(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 13691/600084. ------ 1. ==[ start ]==> ((^a.(a b)) a) 2. ==[ alpha ]==> ((^x.(x b)) a) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 13692/600086. ------ 1. ==[ start ]==> (^a.(a (a b))) 2. ==[ alpha ]==> (^x.(x (x b))) REDUCED to normal form. ------ 13693/600087. ------ 1. ==[ start ]==> (a (a (a b))) REDUCED to normal form. ------ 13694/600090. ------ 1. ==[ start ]==> ((^a.a)(^a.(a b))) 2. ==[ alpha ]==> ((^x.x)(^y.(y b))) 3. ==[ beta ]==> (^y.(y b)) 4. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 13695/601035. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.((^a.a)(^a.a)))) 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. ------ 13696/601974. ------ 1. ==[ start ]==> (((^a.b) a) b) 2. ==[ alpha ]==> (((^x.b) a) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 13697/601980. ------ 1. ==[ start ]==> ((^a.(a b))(^a.a)) 2. ==[ alpha ]==> ((^x.(x b))(^y.y)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 13698/601983. ------ 1. ==[ start ]==> ((a (a b)) a) REDUCED to normal form. ------ 13699/601989. ------ 1. ==[ start ]==> ((^a.a)(a (a b))) 2. ==[ alpha ]==> ((^x.x)(a (a b))) 3. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 13700/601992. ------ 1. ==[ start ]==> ((a a)(^a.(a b))) 2. ==[ alpha ]==> ((a a)(^x.(x b))) REDUCED to normal form. ------ 13701/601998. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13702/602016. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 13703/602043. ------ 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 REDUCED to normal form. ------ 13704/602124. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^z.z))((^x1.x1)(^y1.y1)))(^y.y)) 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. ------ 13705/602172. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.b))) REDUCED to normal form. ------ 13706/602241. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))(^z.a))) 3. ==[ beta ]==> (^y.((a (a a))(^z.a))) 4. ==[ alpha ]==> (^x.((a (a a))(^y.a))) REDUCED to normal form. ------ 13707/602325. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 13708/602505. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((y y) y))) 3. ==[ beta ]==> (((a a) a)(^y.((y y) y))) 4. ==[ alpha ]==> (((a a) a)(^x.((x x) x))) REDUCED to normal form. ------ 13709/602583. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((((^z.z) a)((^x1.x1) a))(((^y1.y1) a)((^z1.z1) a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((((^z.z) a)((^x1.x1) a))(((^y1.y1) a)((^z1.z1) a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((((^y.y) a)((^z.z) a))(((^x1.x1) a)((^y1.y1) a)))) 7. ==[ beta ]==> ((a a)((((^y.y) a)((^z.z) a))(((^x1.x1) a)((^y1.y1) a)))) 8. ==[ alpha ]==> ((a a)((((^x.x) a)((^y.y) a))(((^z.z) a)((^x1.x1) a)))) 9. ==[ beta ]==> ((a a)((a ((^y.y) a))(((^z.z) a)((^x1.x1) a)))) 10. ==[ alpha ]==> ((a a)((a ((^x.x) a))(((^y.y) a)((^z.z) a)))) 11. ==[ beta ]==> ((a a)((a a)(((^y.y) a)((^z.z) a)))) 12. ==[ alpha ]==> ((a a)((a a)(((^x.x) 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. ------ 13710/602658. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.y))) 3. ==[ beta ]==> ((a b)(^y.(^z.y))) 4. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 13711/602793. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 13712/602808. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^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. ------ 13713/602934. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a ((^a.a)(^a.a)))) 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. ------ 13714/602937. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.((^a.a)(^a.a)))) 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))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 13715/603063. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 13716/603171. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 13717/603288. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(z (z z)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(z (z z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(y (y y)))) 5. ==[ beta ]==> ((a a)(^y.(y (y y)))) 6. ==[ alpha ]==> ((a a)(^x.(x (x x)))) REDUCED to normal form. ------ 13718/603366. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)((^y.y) a))) 3. ==[ beta ]==> ((((a a)((^y.y) a))((a a)((^y.y) a)))((a a)((^y.y) a))) 4. ==[ alpha ]==> ((((a a)((^x.x) a))((a a)((^y.y) a)))((a a)((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)((a a)((^y.y) a)))((a a)((^z.z) a))) 6. ==[ alpha ]==> ((((a a) a)((a a)((^x.x) a)))((a a)((^y.y) a))) 7. ==[ beta ]==> ((((a a) a)((a a) a))((a a)((^y.y) a))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)((^x.x) a))) 9. ==[ beta ]==> ((((a a) a)((a a) a))((a a) a)) REDUCED to normal form. ------ 13719/603459. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.a))) 5. ==[ beta ]==> (a (^z.(^x1.a))) 6. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 13720/603621. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.c)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.c)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.c)) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.c)) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.c)) 7. ==[ beta ]==> ((a a)(^y.c)) 8. ==[ alpha ]==> ((a a)(^x.c)) REDUCED to normal form. ------ 13721/603630. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 13722/603684. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 13723/603699. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z)) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13724/603747. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.(a (^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)))) REDUCED to normal form. ------ 13725/603828. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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. ------ 13726/603855. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(x x))) REDUCED to normal form. ------ 13727/603873. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 13728/603879. ------ 1. ==[ start ]==> ((^a.(a b))(a a)) 2. ==[ alpha ]==> ((^x.(x b))(a a)) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 13729/603882. ------ 1. ==[ start ]==> ((a (a b))(^a.a)) 2. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 13730/603887. ------ 1. ==[ start ]==> (^a.(^b.(^a.b))) 2. ==[ alpha ]==> (^x.(^y.(^z.y))) REDUCED to normal form. ------ 13731/603888. ------ 1. ==[ start ]==> (a (^b.(^a.b))) 2. ==[ alpha ]==> (a (^x.(^y.x))) REDUCED to normal form. ------ 13732/603894. ------ 1. ==[ start ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 13733/603903. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.b) a)) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 13734/603921. ------ 1. ==[ start ]==> ((a (a a))(((a a) a)(a a))) REDUCED to normal form. ------ 13735/603948. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 13736/603957. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 13737/604002. ------ 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. ------ 13738/604029. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 13739/604047. ------ 1. ==[ start ]==> (((a a) b)(b (^c.a))) 2. ==[ alpha ]==> (((a a) b)(b (^x.a))) REDUCED to normal form. ------ 13740/604074. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.b))) REDUCED to normal form. ------ 13741/604092. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 13742/604119. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(^x1.x1))(^y1.(^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. ------ 13743/604128. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^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. ------ 13744/604146. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 13745/604182. ------ 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)((^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. ------ 13746/604227. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.a))) 3. ==[ beta ]==> ((^y.a)((a a)(^z.a))) 4. ==[ alpha ]==> ((^x.a)((a a)(^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 13747/604254. ------ 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)(((a a) a) a)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 13748/604263. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 13749/604290. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 13750/604317. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 13751/604344. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 13752/604371. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a))(^b.(^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. ------ 13753/604407. ------ 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. ------ 13754/604434. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 13755/604461. ------ 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. ------ 13756/604488. ------ 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)))(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. ------ 13757/604560. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a (^y.a))) 3. ==[ beta ]==> ((a b)(a (^y.a))) 4. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 13758/604578. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 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. ------ 13759/604587. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 13760/604605. ------ 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. ------ 13761/604614. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 13762/604632. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 13763/604641. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 13764/604668. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 13765/604686. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 13766/604695. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^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. ------ 13767/604713. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^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. ------ 13768/604803. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 13769/604812. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (a (a a)))) REDUCED to normal form. ------ 13770/604839. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a ((^a.a)(^a.a)))) 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)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 13771/604848. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 13772/604875. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 13773/604938. ------ 1. ==[ start ]==> (((a (a a)) b)(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(b (^x.(x x)))) REDUCED to normal form. ------ 13774/604965. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 13775/604983. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.z))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 13776/604992. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 13777/605010. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 13778/605019. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 13779/605046. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 13780/605064. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 13781/605073. ------ 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. ------ 13782/605100. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 7. ==[ beta ]==> ((^y.(y y))(^z.z)) 8. ==[ alpha ]==> ((^x.(x x))(^y.y)) 9. ==[ beta ]==> ((^y.y)(^y.y)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13783/605163. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(b a)) REDUCED to normal form. ------ 13784/605190. ------ 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. ------ 13785/605217. ------ 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. ------ 13786/605244. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 13787/605271. ------ 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. ------ 13788/605307. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) 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. ------ 13789/605361. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)(^z.a))) 5. ==[ beta ]==> (a ((a a)(^z.a))) 6. ==[ alpha ]==> (a ((a a)(^x.a))) REDUCED to normal form. ------ 13790/605397. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.z))) 5. ==[ beta ]==> (b ((^y.a)(^z.z))) 6. ==[ alpha ]==> (b ((^x.a)(^y.y))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 13791/605424. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))(^a.(^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. ------ 13792/605469. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.a) a)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 13793/605478. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (^x1.x1))) REDUCED to normal form. ------ 13794/605505. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 13795/605532. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.a))) REDUCED to normal form. ------ 13796/605559. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13797/605586. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 13798/605604. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y)) a)) REDUCED to normal form. ------ 13799/605622. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (a a))) REDUCED to normal form. ------ 13800/605649. ------ 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)))) REDUCED to normal form. ------ 13801/605676. ------ 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. ------ 13802/605703. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b a)) 3. ==[ beta ]==> (((a (a a)) a)(b a)) REDUCED to normal form. ------ 13803/605730. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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. ------ 13804/605757. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a (a a))) REDUCED to normal form. ------ 13805/605775. ------ 1. ==[ start ]==> (((^a.b) a)(a (^a.a))) 2. ==[ alpha ]==> (((^x.b) a)(a (^y.y))) 3. ==[ beta ]==> (b (a (^y.y))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 13806/605781. ------ 1. ==[ start ]==> ((^a.(a b)) b) 2. ==[ alpha ]==> ((^x.(x b)) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 13807/605784. ------ 1. ==[ start ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 13808/605792. ------ 1. ==[ start ]==> (^a.((^a.a)(^a.b))) 2. ==[ alpha ]==> (^x.((^y.y)(^z.b))) 3. ==[ beta ]==> (^x.(^z.b)) 4. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 13809/605793. ------ 1. ==[ start ]==> (a ((^a.a)(^a.b))) 2. ==[ alpha ]==> (a ((^x.x)(^y.b))) 3. ==[ beta ]==> (a (^y.b)) 4. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 13810/605796. ------ 1. ==[ start ]==> ((^a.a)(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 3. ==[ beta ]==> (^y.(^z.y)) 4. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 13811/605805. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(z b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13812/606741. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 13813/607506. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.c)) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13814/607680. ------ 1. ==[ start ]==> (((^a.b) a) c) 2. ==[ alpha ]==> (((^x.b) a) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 13815/607686. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(^a.a))) 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. ------ 13816/607689. ------ 1. ==[ start ]==> ((a (a b)) b) REDUCED to normal form. ------ 13817/607698. ------ 1. ==[ start ]==> (((^a.a)(^a.b)) a) 2. ==[ alpha ]==> (((^x.x)(^y.b)) a) 3. ==[ beta ]==> ((^y.b) a) 4. ==[ alpha ]==> ((^x.b) a) 5. ==[ beta ]==> b REDUCED to normal form. ------ 13818/607704. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(^z.b))) 3. ==[ beta ]==> ((^y.y)(^z.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13819/607707. ------ 1. ==[ start ]==> ((a a)(^b.(^a.b))) 2. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 13820/607713. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (a b))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13821/607716. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(a b))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(y b))) REDUCED to normal form. ------ 13822/607794. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 13823/608028. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ eta ]==> ((^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. ------ 13824/608199. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 13825/608220. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.a))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.a))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.a))) REDUCED to normal form. ------ 13826/608649. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)(^b.(^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. ------ 13827/608652. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 13828/608661. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.((^a.a)(^a.a)))) 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. ------ 13829/609003. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 13830/609081. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(b (^y.a))) 3. ==[ beta ]==> (((b (^y.a))(b (^y.a)))(b (^y.a))) 4. ==[ alpha ]==> (((b (^x.a))(b (^y.a)))(b (^z.a))) REDUCED to normal form. ------ 13831/609282. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.((^a.a) a))) 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. ------ 13832/609345. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.c)) REDUCED to normal form. ------ 13833/609414. ------ 1. ==[ start ]==> ((^a.(^a.b))(a c)) 2. ==[ alpha ]==> ((^x.(^y.b))(a c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13834/609417. ------ 1. ==[ start ]==> ((a (^a.b))(^a.c)) 2. ==[ alpha ]==> ((a (^x.b))(^y.c)) REDUCED to normal form. ------ 13835/609462. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 13836/609516. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 13837/609543. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(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. ------ 13838/609570. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 13839/609588. ------ 1. ==[ start ]==> (((^a.b) a)(^b.a)) 2. ==[ alpha ]==> (((^x.b) a)(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 13840/609594. ------ 1. ==[ start ]==> ((^a.(a b))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(x b))(a (^y.y))) 3. ==[ beta ]==> ((a (^y.y)) b) 4. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 13841/609597. ------ 1. ==[ start ]==> ((a (a b))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 13842/609606. ------ 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)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 13843/609618. ------ 1. ==[ start ]==> ((a a)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 3. ==[ beta ]==> ((a a)(^y.b)) 4. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 13844/609627. ------ 1. ==[ start ]==> ((a (^a.a))(a (a b))) 2. ==[ alpha ]==> ((a (^x.x))(a (a b))) REDUCED to normal form. ------ 13845/609636. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b) a)) 2. ==[ alpha ]==> (((^x.x) a)((^y.b) a)) 3. ==[ beta ]==> (a ((^y.b) a)) 4. ==[ alpha ]==> (a ((^x.b) a)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 13846/609654. ------ 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. ------ 13847/609681. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(^a.a))(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)((^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. ------ 13848/609690. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 13849/609708. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 13850/609762. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13851/609789. ------ 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)((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. ------ 13852/609825. ------ 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. ------ 13853/609852. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 13854/609888. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 13855/609906. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(x1 x1)))) 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. ------ 13856/609915. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 13857/609942. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 13858/609987. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a) a)) REDUCED to normal form. ------ 13859/610014. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 13860/610041. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a)) c)) REDUCED to normal form. ------ 13861/610113. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 13862/610221. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((((^y.y) a)((^z.z) a))(((^y.y) a)((^z.z) a))) 6. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((^x1.x1) a))) 8. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((^z.z) a))) 9. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z) 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. ------ 13863/610248. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 13864/610311. ------ 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)((^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. ------ 13865/610338. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 13866/610365. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.a))) REDUCED to normal form. ------ 13867/610392. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 13868/610419. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 13869/610455. ------ 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. ------ 13870/610482. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 8. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 13871/610509. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 13872/610536. ------ 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. ------ 13873/610563. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)(^b.(^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. ------ 13874/610572. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a ((^a.a)(^a.a)))) 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. ------ 13875/610599. ------ 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. ------ 13876/610653. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1) 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 (^x.x)) a) REDUCED to normal form. ------ 13877/610716. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 13878/610743. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 13879/610770. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 13880/610797. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 13881/610824. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 13882/610860. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 13883/610887. ------ 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))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 13884/610914. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 13885/610995. ------ 1. ==[ start ]==> ((a ((a a) a))(b (^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))(b (^x.a))) REDUCED to normal form. ------ 13886/611085. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b c)) 3. ==[ beta ]==> (((^y.a)(^y.a))(b c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b c)) 5. ==[ beta ]==> (a (b c)) REDUCED to normal form. ------ 13887/611121. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a) a)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a) a)) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a) a)) 5. ==[ beta ]==> (b (((^y.y) a) a)) 6. ==[ alpha ]==> (b (((^x.x) a) a)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 13888/611148. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.x)) b)) REDUCED to normal form. ------ 13889/611166. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b (a (^y.y)))) 3. ==[ beta ]==> (((a a) a)(b (a (^y.y)))) 4. ==[ alpha ]==> (((a a) a)(b (a (^x.x)))) REDUCED to normal form. ------ 13890/611193. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(a ((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) a))) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 13891/611202. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 13892/611229. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 13893/611247. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(a (^z.z)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a a)(a (^y.y)))) 7. ==[ beta ]==> ((a a)((a a)(a (^y.y)))) 8. ==[ alpha ]==> ((a a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 13894/611256. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y) c)) 3. ==[ beta ]==> (((a (a a))(^x.a)) c) REDUCED to normal form. ------ 13895/611283. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13896/611310. ------ 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. ------ 13897/611328. ------ 1. ==[ start ]==> ((a (^a.b))(a c)) 2. ==[ alpha ]==> ((a (^x.b))(a c)) REDUCED to normal form. ------ 13898/611346. ------ 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))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 13899/611373. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 13900/611400. ------ 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. ------ 13901/611427. ------ 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. ------ 13902/611454. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.a)(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. ------ 13903/611481. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.a)(^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. ------ 13904/611499. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a) 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. ------ 13905/611505. ------ 1. ==[ start ]==> ((^a.(a b)) c) 2. ==[ alpha ]==> ((^x.(x b)) c) 3. ==[ beta ]==> (c b) REDUCED to normal form. ------ 13906/611508. ------ 1. ==[ start ]==> ((a (a b))(a (^a.a))) 2. ==[ alpha ]==> ((a (a b))(a (^x.x))) REDUCED to normal form. ------ 13907/611517. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a a)) 3. ==[ beta ]==> ((^y.b)(a a)) 4. ==[ alpha ]==> ((^x.b)(a a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 13908/611538. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13909/612348. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.((^a.a)(^a.a)))) 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. ------ 13910/613239. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13911/613419. ------ 1. ==[ start ]==> ((^a.(a b))(^b.a)) 2. ==[ alpha ]==> ((^x.(x b))(^y.a)) 3. ==[ beta ]==> ((^y.a) b) 4. ==[ alpha ]==> ((^x.a) b) 5. ==[ beta ]==> a REDUCED to normal form. ------ 13912/613422. ------ 1. ==[ start ]==> ((a (a b)) c) REDUCED to normal form. ------ 13913/613431. ------ 1. ==[ start ]==> (((^a.a)(^a.b)) b) 2. ==[ alpha ]==> (((^x.x)(^y.b)) b) 3. ==[ beta ]==> ((^y.b) b) 4. ==[ alpha ]==> ((^x.b) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 13914/613455. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13915/613458. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 13916/613467. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(a b))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(y b))) 3. ==[ beta ]==> (a (^y.(y b))) 4. ==[ alpha ]==> (a (^x.(x b))) REDUCED to normal form. ------ 13917/613473. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b) a)) 2. ==[ alpha ]==> ((^x.(x x))((^y.b) a)) 3. ==[ beta ]==> (((^y.b) a)((^y.b) a)) 4. ==[ alpha ]==> (((^x.b) a)((^y.b) a)) 5. ==[ beta ]==> (b ((^y.b) a)) 6. ==[ alpha ]==> (b ((^x.b) a)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 13918/613500. ------ 1. ==[ start ]==> ((^a.b)((^c.a) b)) 2. ==[ alpha ]==> ((^x.b)((^y.a) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 13919/613647. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 13920/613698. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 13921/613770. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 13922/613809. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.((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)) REDUCED to normal form. ------ 13923/613941. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 13924/614115. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)(^x.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 13925/614265. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 13926/614268. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 13927/614403. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 13928/614538. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 13929/614862. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 13930/615024. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 13931/615033. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.((^a.a) a))) 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. ------ 13932/615087. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 13933/615156. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 13934/615159. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(a (^z.z)))) REDUCED to normal form. ------ 13935/615258. ------ 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. ------ 13936/615330. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(a a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(y y))) 3. ==[ beta ]==> (b (^y.(y y))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 13937/615336. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a) 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. ------ 13938/615339. ------ 1. ==[ start ]==> ((a (a b))(^b.a)) 2. ==[ alpha ]==> ((a (a b))(^x.a)) REDUCED to normal form. ------ 13939/615348. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 13940/615378. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a (^x.x))(^z.b)) 4. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 13941/615387. ------ 1. ==[ start ]==> (((^a.a) a)(a (a b))) 2. ==[ alpha ]==> (((^x.x) a)(a (a b))) 3. ==[ beta ]==> (a (a (a b))) REDUCED to normal form. ------ 13942/615396. ------ 1. ==[ start ]==> ((a (a a))((^a.b) a)) 2. ==[ alpha ]==> ((a (a a))((^x.b) a)) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 13943/615414. ------ 1. ==[ start ]==> (((a a) a)(((a a) a)(a a))) REDUCED to normal form. ------ 13944/615423. ------ 1. ==[ start ]==> ((a b)((^c.a) b)) 2. ==[ alpha ]==> ((a b)((^x.a) b)) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 13945/615441. ------ 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)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 13946/615468. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)((a (a a))((^y.y) a))) 3. ==[ beta ]==> (b ((a (a a))((^y.y) a))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 13947/615495. ------ 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)(((^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. ------ 13948/615522. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 13949/615540. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(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. ------ 13950/615549. ------ 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. ------ 13951/615567. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (^z.b))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.b))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.b))) REDUCED to normal form. ------ 13952/615621. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 13953/615639. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 13954/615666. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(y y)))) REDUCED to normal form. ------ 13955/615693. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 13956/615702. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^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. ------ 13957/615729. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 13958/615783. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(^a.(^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. ------ 13959/615810. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 13960/615864. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 13961/615936. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^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))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 13962/615954. ------ 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. ------ 13963/615999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(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. ------ 13964/616035. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a b)((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a b)((a a)(^y.y))) 6. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 13965/616080. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 13966/616107. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 13967/616161. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 13968/616188. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 13969/616206. ------ 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. ------ 13970/616233. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (a a)) b)) 3. ==[ beta ]==> (((a (^x.x)) a)((a (a a)) b)) REDUCED to normal form. ------ 13971/616278. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 13972/616323. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(^b.(^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. ------ 13973/616413. ------ 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 (^x.x)) a)) REDUCED to normal form. ------ 13974/616440. ------ 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. ------ 13975/616458. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 13976/616485. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 5. ==[ beta ]==> ((^y.(y y))(a a)) 6. ==[ alpha ]==> ((^x.(x x))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 13977/616521. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c c)) 3. ==[ beta ]==> ((a (^y.a))(c c)) 4. ==[ alpha ]==> ((a (^x.a))(c c)) REDUCED to normal form. ------ 13978/616539. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 13979/616611. ------ 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)(^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. ------ 13980/616692. ------ 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. ------ 13981/616719. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a) b)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a) b)) 5. ==[ beta ]==> ((a a)((^y.a) b)) 6. ==[ alpha ]==> ((a a)((^x.a) b)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 13982/616782. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 13983/616836. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 13984/616917. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.a))(^a.(^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. ------ 13985/616944. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 13986/616953. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 13987/616980. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 13988/616998. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 13989/617007. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 13990/617061. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b b)) REDUCED to normal form. ------ 13991/617079. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.b))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 13992/617097. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x)) a)) REDUCED to normal form. ------ 13993/617124. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a) b)) REDUCED to normal form. ------ 13994/617151. ------ 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)) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 13995/617178. ------ 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. ------ 13996/617205. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (((^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. ------ 13997/617232. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a a) a)) REDUCED to normal form. ------ 13998/617250. ------ 1. ==[ start ]==> (((^a.b) a)(a (a a))) 2. ==[ alpha ]==> (((^x.b) a)(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 13999/617259. ------ 1. ==[ start ]==> ((a (a b))((^a.a) a)) 2. ==[ alpha ]==> ((a (a b))((^x.x) a)) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 14000/617268. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.z))) 3. ==[ beta ]==> ((^y.b)(a (^z.z))) 4. ==[ alpha ]==> ((^x.b)(a (^y.y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14001/617285. ------ 1. ==[ start ]==> (^a.(b ((a a) a))) 2. ==[ alpha ]==> (^x.(b ((x x) x))) REDUCED to normal form. ------ 14002/617286. ------ 1. ==[ start ]==> (a (b ((a a) a))) REDUCED to normal form. ------ 14003/617316. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(a b))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(y b))) 3. ==[ beta ]==> ((^y.(y b))(^y.(y b))) 4. ==[ alpha ]==> ((^x.(x b))(^y.(y b))) 5. ==[ beta ]==> ((^y.(y b)) b) 6. ==[ alpha ]==> ((^x.(x b)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 14004/618108. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14005/618999. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14006/619179. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(y y))) 3. ==[ beta ]==> ((^y.(y y)) b) 4. ==[ alpha ]==> ((^x.(x x)) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 14007/619191. ------ 1. ==[ start ]==> (((^a.a)(^a.b)) c) 2. ==[ alpha ]==> (((^x.x)(^y.b)) c) 3. ==[ beta ]==> ((^y.b) c) 4. ==[ alpha ]==> ((^x.b) c) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14008/619215. ------ 1. ==[ start ]==> ((^a.a)(b ((a a) a))) 2. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 14009/619236. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.y))) 3. ==[ beta ]==> (a (^y.(^z.y))) 4. ==[ alpha ]==> (a (^x.(^y.x))) REDUCED to normal form. ------ 14010/619242. ------ 1. ==[ start ]==> ((^a.(a a))(a (a b))) 2. ==[ alpha ]==> ((^x.(x x))(a (a b))) 3. ==[ beta ]==> ((a (a b))(a (a b))) REDUCED to normal form. ------ 14011/619245. ------ 1. ==[ start ]==> ((a (a a))(^a.(a b))) 2. ==[ alpha ]==> ((a (a a))(^x.(x b))) REDUCED to normal form. ------ 14012/619269. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 14013/619305. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14014/619350. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((((^z.z) a)(a (a a)))(^y.y)) 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. ------ 14015/619425. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 14016/619467. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^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 ]==> (^x.((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (^x.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 14017/619587. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((a a) a))) REDUCED to normal form. ------ 14018/619758. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 14019/619809. ------ 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. ------ 14020/620034. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14021/620037. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 14022/620160. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14023/620316. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 14024/620424. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 7. ==[ beta ]==> (^y.(a (a a))) 8. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 14025/620541. ------ 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. ------ 14026/620592. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a (^y.y))(a (^z.z)))((a (^y.y))(a (^z.z))))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1))))((a (^y1.y1))(a (^z1.z1)))) REDUCED to normal form. ------ 14027/620721. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) b)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z) a))) 5. ==[ beta ]==> (b (^y.((^z.z) a))) 6. ==[ alpha ]==> (b (^x.((^y.y) a))) 7. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 14028/620802. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 14029/620883. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14030/620925. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14031/620928. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 14032/621000. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(x (^y.y)))) REDUCED to normal form. ------ 14033/621081. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.b)) REDUCED to normal form. ------ 14034/621099. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 14035/621105. ------ 1. ==[ start ]==> ((^a.(a b))(a (a a))) 2. ==[ alpha ]==> ((^x.(x b))(a (a a))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 14036/621108. ------ 1. ==[ start ]==> ((a (a b))(^a.(a a))) 2. ==[ alpha ]==> ((a (a b))(^x.(x x))) REDUCED to normal form. ------ 14037/621117. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.a)) 3. ==[ beta ]==> ((^y.b)(^z.a)) 4. ==[ alpha ]==> ((^x.b)(^y.a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14038/621147. ------ 1. ==[ start ]==> ((a a)(b ((a a) a))) REDUCED to normal form. ------ 14039/621165. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(^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))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 14040/621174. ------ 1. ==[ start ]==> ((a (a a))(a (a b))) REDUCED to normal form. ------ 14041/621183. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) a)) 3. ==[ beta ]==> ((^y.y)((^z.b) a)) 4. ==[ alpha ]==> ((^x.x)((^y.b) a)) 5. ==[ beta ]==> ((^y.b) a) 6. ==[ alpha ]==> ((^x.b) a) 7. ==[ beta ]==> b REDUCED to normal form. ------ 14042/621201. ------ 1. ==[ start ]==> ((a b)(((a a) a)(a a))) REDUCED to normal form. ------ 14043/621237. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 14044/621255. ------ 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. ------ 14045/621282. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 14046/621300. ------ 1. ==[ start ]==> (((a a) b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 14047/621327. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.a))) REDUCED to normal form. ------ 14048/621354. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 14049/621372. ------ 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)(^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. ------ 14050/621399. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.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. ------ 14051/621435. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 14052/621480. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 14053/621516. ------ 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 (^x.x)) b)((a a) a)) REDUCED to normal form. ------ 14054/621561. ------ 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 ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 14055/621570. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 14056/621597. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 14057/621624. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 14058/621660. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) a)(b (^y.y))) 6. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 14059/621687. ------ 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. ------ 14060/621714. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 14061/621741. ------ 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. ------ 14062/621813. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 14063/621858. ------ 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))((^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. ------ 14064/621867. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 14065/621885. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 14066/621894. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 14067/621921. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 14068/621939. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.y))(^z.(z 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. ------ 14069/621948. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 14070/621966. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 14071/622056. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.a))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 14072/622092. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(b (a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b (a (a a)))) REDUCED to normal form. ------ 14073/622128. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 14074/622182. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) c)) 5. ==[ beta ]==> ((^y.y)((^y1.a) c)) 6. ==[ alpha ]==> ((^x.x)((^y.a) c)) 7. ==[ beta ]==> ((^y.a) c) 8. ==[ alpha ]==> ((^x.a) c) 9. ==[ beta ]==> a REDUCED to normal form. ------ 14075/622191. ------ 1. ==[ start ]==> (((a (a a)) b)(c (^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)(c (^x.a))) REDUCED to normal form. ------ 14076/622218. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b (^z.(z z)))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.(y y)))) 5. ==[ beta ]==> (a (b (^y.(y y)))) 6. ==[ alpha ]==> (a (b (^x.(x x)))) REDUCED to normal form. ------ 14077/622245. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 14078/622263. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 14079/622272. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(a a))) REDUCED to normal form. ------ 14080/622299. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.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) REDUCED to normal form. ------ 14081/622317. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 14082/622326. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 14083/622353. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 7. ==[ beta ]==> ((^y.y)(a (a a))) 8. ==[ alpha ]==> ((^x.x)(a (a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 14084/622443. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b ((^z.z) a))) 3. ==[ beta ]==> ((a ((^y.y) a))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b ((^y.y) a))) 5. ==[ beta ]==> ((a a)(b ((^y.y) a))) 6. ==[ alpha ]==> ((a a)(b ((^x.x) a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 14085/622470. ------ 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. ------ 14086/622497. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(a a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 14087/622524. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 14088/622614. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 14089/622650. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)((^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. ------ 14090/622677. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.y))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 14091/622695. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y)) b)) 3. ==[ beta ]==> (((a a) a)((a (^y.y)) b)) 4. ==[ alpha ]==> (((a a) a)((a (^x.x)) b)) REDUCED to normal form. ------ 14092/622731. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(^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. ------ 14093/622776. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1)) 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)) 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. ------ 14094/622785. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 14095/622812. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14096/622839. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 14097/622857. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 14098/622902. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b (a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b (a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (a a))) REDUCED to normal form. ------ 14099/622929. ------ 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. ------ 14100/622956. ------ 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. ------ 14101/622983. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b a)) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 14102/623010. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a b)) REDUCED to normal form. ------ 14103/623028. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(^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. ------ 14104/623037. ------ 1. ==[ start ]==> ((a (a b))(a (a a))) REDUCED to normal form. ------ 14105/623046. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a) 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. ------ 14106/623103. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.y))) 3. ==[ beta ]==> ((^y.(^z.y))(^y.(^z.y))) 4. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.(^z.(^x1.z))) 6. ==[ alpha ]==> (^x.(^y.(^z.y))) REDUCED to normal form. ------ 14107/624966. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(^a.a))) 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. ------ 14108/625020. ------ 1. ==[ start ]==> ((^a.(^a.a))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(b ((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14109/625038. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.b))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 14110/625041. ------ 1. ==[ start ]==> ((a (a a))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.x))) REDUCED to normal form. ------ 14111/625050. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z b))) 3. ==[ beta ]==> ((^y.y)(^z.(z b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 14112/625101. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14113/625335. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(a (a a)))) 3. ==[ eta ]==> ((^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. ------ 14114/625383. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.a))) REDUCED to normal form. ------ 14115/625554. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 14116/625851. ------ 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. ------ 14117/625956. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(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. ------ 14118/625995. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.((^a.a)(^a.a)))) 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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14119/626337. ------ 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. ------ 14120/626427. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 14121/626517. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(^b.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. ------ 14122/626598. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 14123/626679. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.c)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.c)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14124/626721. ------ 1. ==[ start ]==> ((^a.(^a.b))(b b)) 2. ==[ alpha ]==> ((^x.(^y.b))(b b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14125/626742. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 14126/626796. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(^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. ------ 14127/626850. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 14128/626877. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(a a))) REDUCED to normal form. ------ 14129/626895. ------ 1. ==[ start ]==> (((^a.b) a)(^c.a)) 2. ==[ alpha ]==> (((^x.b) a)(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 14130/626901. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(^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. ------ 14131/626904. ------ 1. ==[ start ]==> ((a (a b))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 14132/626913. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(z z))) 3. ==[ beta ]==> ((^y.b)(^z.(z z))) 4. ==[ alpha ]==> ((^x.b)(^y.(y y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14133/626961. ------ 1. ==[ start ]==> ((a (^a.a))(b ((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))(b ((a a) a))) REDUCED to normal form. ------ 14134/626979. ------ 1. ==[ start ]==> ((a (a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(^y.b))) 3. ==[ beta ]==> ((a (a a))(^y.b)) 4. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 14135/626988. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(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. ------ 14136/626997. ------ 1. ==[ start ]==> (((a a) a)((^a.b) a)) 2. ==[ alpha ]==> (((a a) a)((^x.b) a)) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 14137/627015. ------ 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. ------ 14138/627042. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 14139/627051. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> (b ((^y.(^z.z)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 14140/627096. ------ 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 ]==> ((^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. ------ 14141/627123. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))((^y1.y1)(^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. ------ 14142/627150. ------ 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. ------ 14143/627186. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.z))) REDUCED to normal form. ------ 14144/627222. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 14145/627240. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (a a))(^z.a))) 3. ==[ beta ]==> ((^y.y)((a (a 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. ------ 14146/627249. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.y) a))) 7. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 14147/627276. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^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)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 14148/627321. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.a))) REDUCED to normal form. ------ 14149/627348. ------ 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. ------ 14150/627375. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z) b)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y) b)) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 14151/627465. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) 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. ------ 14152/627537. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 14153/627555. ------ 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. ------ 14154/627582. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 14155/627636. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)((^z.z)(^x1.x1)))) 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. ------ 14156/627672. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 14157/627699. ------ 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. ------ 14158/627726. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 14159/627753. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 14160/627789. ------ 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. ------ 14161/627816. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))(^a.a))) 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. ------ 14162/627843. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 8. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 14163/627861. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 14164/627870. ------ 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. ------ 14165/627897. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 14166/627906. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14167/627933. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a ((^a.a)(^a.a)))) 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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 14168/627987. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.z)))) 7. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 8. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 9. ==[ beta ]==> (a (a (^y.y))) 10. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 14169/627996. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a) c)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a) c)) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 14170/628041. ------ 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. ------ 14171/628077. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 14172/628104. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 14173/628131. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 14174/628158. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 14175/628194. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^z.z))) 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. ------ 14176/628221. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 14177/628248. ------ 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))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 14178/628275. ------ 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. ------ 14179/628365. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 14180/628419. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c b)) 3. ==[ beta ]==> (((^y.a)(^y.a))(c b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c b)) 5. ==[ beta ]==> (a (c b)) REDUCED to normal form. ------ 14181/628455. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)(^b.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. ------ 14182/628482. ------ 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. ------ 14183/628527. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(b (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 14184/628536. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a) c)) REDUCED to normal form. ------ 14185/628563. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a) a)) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 14186/628581. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z))(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(a a))) 7. ==[ beta ]==> ((a a)((a (^y.y))(a a))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 14187/628590. ------ 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))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 14188/628644. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 14189/628662. ------ 1. ==[ start ]==> ((a (^a.b))(b b)) 2. ==[ alpha ]==> ((a (^x.b))(b b)) REDUCED to normal form. ------ 14190/628680. ------ 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. ------ 14191/628707. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.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. ------ 14192/628734. ------ 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)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 14193/628761. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b (^a.a))) 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. ------ 14194/628788. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 14195/628815. ------ 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. ------ 14196/628833. ------ 1. ==[ start ]==> (((^a.b) a)((a a) a)) 2. ==[ alpha ]==> (((^x.b) a)((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 14197/628842. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(^y.y))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 14198/628851. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (a a))) 3. ==[ beta ]==> ((^y.b)(a (a a))) 4. ==[ alpha ]==> ((^x.b)(a (a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14199/630780. ------ 1. ==[ start ]==> ((^a.(a b))(^c.a)) 2. ==[ alpha ]==> ((^x.(x b))(^y.a)) 3. ==[ beta ]==> ((^y.a) b) 4. ==[ alpha ]==> ((^x.a) b) 5. ==[ beta ]==> a REDUCED to normal form. ------ 14200/630873. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^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. ------ 14201/630882. ------ 1. ==[ start ]==> (((a a) a)(^a.(a b))) 2. ==[ alpha ]==> (((a a) a)(^x.(x b))) REDUCED to normal form. ------ 14202/630888. ------ 1. ==[ start ]==> ((^a.b)((^a.b) a)) 2. ==[ alpha ]==> ((^x.b)((^y.b) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 14203/631062. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^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. ------ 14204/631086. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(a a))) 3. ==[ beta ]==> (^y.((^z.a)(a a))) 4. ==[ alpha ]==> (^x.((^y.a)(a a))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 14205/631158. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ eta ]==> ((^y.y)(((^z.z) a)(^x1.(x1 x1)))) 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. ------ 14206/631329. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 14207/631428. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((^y.(^z.z)) b)(((^y.(^z.z)) b)((^y.(^z.z)) b))) 4. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.(^x1.x1)) b)((^y1.(^z1.z1)) b))) 5. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) b)((^y1.(^z1.z1)) b))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) b)((^x1.(^y1.y1)) b))) 7. ==[ beta ]==> (((^y.(^z.z)) b)((^x1.(^y1.y1)) b)) 8. ==[ alpha ]==> (((^x.(^y.y)) b)((^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 ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14208/631653. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14209/631818. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 14210/631935. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 14211/631953. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 14212/632211. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a) b)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a) b)) 3. ==[ beta ]==> ((((^y.a) b)((^y.a) b))((^y.a) b)) 4. ==[ alpha ]==> ((((^x.a) b)((^y.a) b))((^z.a) b)) 5. ==[ beta ]==> ((a ((^y.a) b))((^z.a) b)) 6. ==[ alpha ]==> ((a ((^x.a) b))((^y.a) b)) 7. ==[ beta ]==> ((a a)((^y.a) b)) 8. ==[ alpha ]==> ((a a)((^x.a) b)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 14213/632448. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.((^a.a) a))) 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. ------ 14214/632544. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14215/632673. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.z)) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 14216/632718. ------ 1. ==[ start ]==> (((^a.b) a)(^a.b)) 2. ==[ alpha ]==> (((^x.b) a)(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 14217/632724. ------ 1. ==[ start ]==> ((^a.(a b))((a a) a)) 2. ==[ alpha ]==> ((^x.(x b))((a a) a)) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 14218/632727. ------ 1. ==[ start ]==> ((a (a b))(^c.a)) 2. ==[ alpha ]==> ((a (a b))(^x.a)) REDUCED to normal form. ------ 14219/632736. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14220/632802. ------ 1. ==[ start ]==> (((^a.a) a)(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)(b ((a a) a))) 3. ==[ beta ]==> (a (b ((a a) a))) REDUCED to normal form. ------ 14221/632820. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.b))) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14222/632829. ------ 1. ==[ start ]==> (((a a) a)(a (a b))) REDUCED to normal form. ------ 14223/632838. ------ 1. ==[ start ]==> ((a b)((^a.b) a)) 2. ==[ alpha ]==> ((a b)((^x.b) a)) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 14224/632856. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 14225/632883. ------ 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 ((^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. ------ 14226/632892. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 14227/632910. ------ 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)((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. ------ 14228/632937. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> (((a a) b)(a (a (a a)))) REDUCED to normal form. ------ 14229/632964. ------ 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. ------ 14230/632982. ------ 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))) REDUCED to normal form. ------ 14231/632991. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 14232/633009. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(a (^z.b))) 3. ==[ beta ]==> ((^y.y)(a (^z.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 14233/633036. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(a a))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 14234/633054. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 14235/633081. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(^y.a))) REDUCED to normal form. ------ 14236/633108. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(a (^y.(y y)))) 6. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 14237/633117. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.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. ------ 14238/633144. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.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. ------ 14239/633225. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^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. ------ 14240/633279. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 14241/633369. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^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)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 14242/633378. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 14243/633450. ------ 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)))) REDUCED to normal form. ------ 14244/633468. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (^z.(^x1.x1)))) 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. ------ 14245/633477. ------ 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. ------ 14246/633522. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14247/633576. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 14248/633603. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 14249/633621. ------ 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. ------ 14250/633648. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z) a)) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) a)) 7. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 14251/633675. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (a a)) b)) 3. ==[ beta ]==> ((a (a (^y.y)))((a (a a)) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (a a)) b)) REDUCED to normal form. ------ 14252/633738. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 14253/633765. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(^b.(^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. ------ 14254/633828. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a)) b)(a (a (^y.y)))) 4. ==[ alpha ]==> (((a (a a)) b)(a (a (^x.x)))) REDUCED to normal form. ------ 14255/633855. ------ 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. ------ 14256/633873. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 14257/633882. ------ 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. ------ 14258/633900. ------ 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)(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. ------ 14259/633954. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 14260/634026. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 14261/634053. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a b)) REDUCED to normal form. ------ 14262/634134. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y)) a)) 5. ==[ beta ]==> ((a a)((^y.(y y)) a)) 6. ==[ alpha ]==> ((a a)((^x.(x x)) a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 14263/634161. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a) b)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a) b)) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 14264/634197. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 14265/634251. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.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) REDUCED to normal form. ------ 14266/634287. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b c)) 3. ==[ beta ]==> (((^y.y) b)(b c)) 4. ==[ alpha ]==> (((^x.x) b)(b c)) 5. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 14267/634332. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)(^a.a))) 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. ------ 14268/634359. ------ 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.(^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. ------ 14269/634368. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (a (^x1.x1)))) REDUCED to normal form. ------ 14270/634395. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((a (^y.(y y)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 14271/634422. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 14272/634449. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14273/634494. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 14274/634512. ------ 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. ------ 14275/634539. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z)) a)) REDUCED to normal form. ------ 14276/634566. ------ 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. ------ 14277/634593. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 14278/634620. ------ 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. ------ 14279/634647. ------ 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. ------ 14280/634665. ------ 1. ==[ start ]==> (((^a.b) a)(a b)) 2. ==[ alpha ]==> (((^x.b) a)(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 14281/634674. ------ 1. ==[ start ]==> ((a (a b))((a a) a)) REDUCED to normal form. ------ 14282/634683. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14283/634785. ------ 1. ==[ start ]==> ((^a.b)(^a.(a b))) 2. ==[ alpha ]==> ((^x.b)(^y.(y b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 14284/636621. ------ 1. ==[ start ]==> ((^a.(a b))(^a.b)) 2. ==[ alpha ]==> ((^x.(x b))(^y.b)) 3. ==[ beta ]==> ((^y.b) b) 4. ==[ alpha ]==> ((^x.b) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14285/636711. ------ 1. ==[ start ]==> ((^a.(a a))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))(b ((a a) a))) 3. ==[ beta ]==> ((b ((a a) a))(b ((a a) a))) REDUCED to normal form. ------ 14286/636732. ------ 1. ==[ start ]==> (((a a) a)(^b.(^a.b))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.x))) REDUCED to normal form. ------ 14287/636738. ------ 1. ==[ start ]==> ((^a.b)(a (a b))) 2. ==[ alpha ]==> ((^x.b)(a (a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 14288/636741. ------ 1. ==[ start ]==> ((a b)(^a.(a b))) 2. ==[ alpha ]==> ((a b)(^x.(x b))) REDUCED to normal form. ------ 14289/636819. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))((^z.z) a))(^y.y)) 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. ------ 14290/636921. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.b))) REDUCED to normal form. ------ 14291/636936. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)(^z.z))) 3. ==[ beta ]==> (^y.(((a a) a)(^z.z))) 4. ==[ alpha ]==> (^x.(((a a) a)(^y.y))) REDUCED to normal form. ------ 14292/637083. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.((a a) a))) 3. ==[ beta ]==> ((a a)(^y.((a a) a))) 4. ==[ alpha ]==> ((a a)(^x.((a a) a))) REDUCED to normal form. ------ 14293/637254. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.((y y) y))) 3. ==[ beta ]==> ((a (a a))(^y.((y y) y))) 4. ==[ alpha ]==> ((a (a a))(^x.((x x) x))) REDUCED to normal form. ------ 14294/637278. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((((^z.z)(^x1.x1))(a a))(((^y1.y1)(^z1.z1))(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((((^z.z)(^x1.x1))(a a))(((^y1.y1)(^z1.z1))(a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))((((^y.y)(^z.z))(a a))(((^x1.x1)(^y1.y1))(a a)))) 7. ==[ beta ]==> ((a a)((((^y.y)(^z.z))(a a))(((^x1.x1)(^y1.y1))(a a)))) 8. ==[ alpha ]==> ((a a)((((^x.x)(^y.y))(a a))(((^z.z)(^x1.x1))(a a)))) 9. ==[ beta ]==> ((a a)(((^y.y)(a a))(((^z.z)(^x1.x1))(a a)))) 10. ==[ alpha ]==> ((a a)(((^x.x)(a a))(((^y.y)(^z.z))(a a)))) 11. ==[ beta ]==> ((a a)((a a)(((^y.y)(^z.z))(a a)))) 12. ==[ alpha ]==> ((a a)((a a)(((^x.x)(^y.y))(a a)))) 13. ==[ beta ]==> ((a a)((a a)((^y.y)(a a)))) 14. ==[ alpha ]==> ((a a)((a a)((^x.x)(a a)))) 15. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 14295/637503. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14296/637812. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 14297/638037. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(y (y y)))) 5. ==[ beta ]==> ((a a)(^y.(y (y y)))) 6. ==[ alpha ]==> ((a a)(^x.(x (x x)))) REDUCED to normal form. ------ 14298/638061. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> (((((^x.x) a)(a a))(((^y.y) a)(a a)))(((^z.z) a)(a a))) 5. ==[ beta ]==> (((a (a a))(((^y.y) a)(a a)))(((^z.z) a)(a a))) 6. ==[ alpha ]==> (((a (a a))(((^x.x) a)(a a)))(((^y.y) a)(a a))) 7. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)(a a))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(a a))) 9. ==[ beta ]==> (((a (a a))(a (a a)))(a (a a))) REDUCED to normal form. ------ 14299/638217. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) a)(^x.a)) REDUCED to normal form. ------ 14300/638298. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 14301/638379. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 14302/638394. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14303/638496. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(a (^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)))) REDUCED to normal form. ------ 14304/638568. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(a a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(a a))) 3. ==[ beta ]==> (b (^y.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 14305/638574. ------ 1. ==[ start ]==> ((^a.(a b))(a b)) 2. ==[ alpha ]==> ((^x.(x b))(a b)) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 14306/638577. ------ 1. ==[ start ]==> ((a (a b))(^a.b)) 2. ==[ alpha ]==> ((a (a b))(^x.b)) REDUCED to normal form. ------ 14307/638586. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.a)) 3. ==[ beta ]==> ((^y.b)(^z.a)) 4. ==[ alpha ]==> ((^x.b)(^y.a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14308/638670. ------ 1. ==[ start ]==> ((a (a a))(b ((a a) a))) REDUCED to normal form. ------ 14309/638688. ------ 1. ==[ start ]==> (((a a) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(^y.b))) 3. ==[ beta ]==> (((a a) a)(^y.b)) 4. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 14310/638697. ------ 1. ==[ start ]==> ((a b)(a (a b))) REDUCED to normal form. ------ 14311/638706. ------ 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)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 14312/638751. ------ 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))((^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. ------ 14313/638778. ------ 1. ==[ start ]==> ((a (a (^a.a)))((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. ------ 14314/638850. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 14315/638877. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.b))) REDUCED to normal form. ------ 14316/638895. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.y))) REDUCED to normal form. ------ 14317/638931. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14318/638976. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 14319/639003. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 14320/639012. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^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. ------ 14321/639039. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)((a a) a))) 3. ==[ beta ]==> ((a a)((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 14322/639057. ------ 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. ------ 14323/639066. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 14324/639084. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z)) b) 6. ==[ alpha ]==> (((^x.x)(^y.y)) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 14325/639093. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^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. ------ 14326/639120. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a (^x.x))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 14327/639183. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.z))) REDUCED to normal form. ------ 14328/639210. ------ 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. ------ 14329/639237. ------ 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)))((^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. ------ 14330/639246. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((^y.(^z.z)) b)((^y.(^z.z)) b)) 6. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) b)) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 9. ==[ beta ]==> ((^y.(^z.z)) b) 10. ==[ alpha ]==> ((^x.(^y.y)) b) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14331/639273. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 14332/639309. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (^y.(y y)))) 3. ==[ beta ]==> ((a b)(c (^y.(y y)))) 4. ==[ alpha ]==> ((a b)(c (^x.(x x)))) REDUCED to normal form. ------ 14333/639336. ------ 1. ==[ start ]==> (((a (a a)) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 14334/639381. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))(^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. ------ 14335/639390. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 14336/639417. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 14337/639435. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 14338/639444. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 14339/639462. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 14340/639552. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 14341/639678. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1)) b)) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 7. ==[ beta ]==> ((^y.(y y)) b) 8. ==[ alpha ]==> ((^x.(x x)) b) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 14342/639741. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 14343/639768. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 14344/639795. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a (^x.a))((a a)(a a))) REDUCED to normal form. ------ 14345/639813. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 14346/639822. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 14347/639849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) 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. ------ 14348/639966. ------ 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. ------ 14349/639993. ------ 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. ------ 14350/640020. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(a a))) 3. ==[ beta ]==> ((a ((a a) a))(a (a a))) REDUCED to normal form. ------ 14351/640056. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14352/640110. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (a (((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 14353/640146. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^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. ------ 14354/640173. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y) a)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x) a)) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 14355/640191. ------ 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. ------ 14356/640218. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 14357/640227. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 14358/640254. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.a)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.a)) REDUCED to normal form. ------ 14359/640272. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a) a)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a) a)) 7. ==[ beta ]==> ((a a)((^y.a) a)) 8. ==[ alpha ]==> ((a a)((^x.a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 14360/640281. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (^y.y))) REDUCED to normal form. ------ 14361/640308. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14362/640335. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 14363/640353. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 14364/640371. ------ 1. ==[ start ]==> (((a a)((a a) a))(b b)) REDUCED to normal form. ------ 14365/640425. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(b (a a))) 3. ==[ beta ]==> ((a (a (a a)))(b (a a))) REDUCED to normal form. ------ 14366/640452. ------ 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. ------ 14367/640479. ------ 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. ------ 14368/640506. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b a)) REDUCED to normal form. ------ 14369/640524. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(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. ------ 14370/640533. ------ 1. ==[ start ]==> ((a (a b))(a b)) REDUCED to normal form. ------ 14371/640542. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a) a)) 3. ==[ beta ]==> ((^y.b)((a a) a)) 4. ==[ alpha ]==> ((^x.b)((a a) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14372/640595. ------ 1. ==[ start ]==> (^a.((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.x)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 14373/640596. ------ 1. ==[ start ]==> (a ((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 14374/640653. ------ 1. ==[ start ]==> ((^a.b)(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 14375/642489. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(a a))) 3. ==[ beta ]==> ((^y.(a a)) b) 4. ==[ alpha ]==> ((^x.(a a)) b) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 14376/642561. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 14377/642615. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 14378/642618. ------ 1. ==[ start ]==> ((a b)(^b.(^a.b))) 2. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 14379/642627. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(y b))) 3. ==[ beta ]==> ((a a)(^y.(y b))) 4. ==[ alpha ]==> ((a a)(^x.(x b))) REDUCED to normal form. ------ 14380/642651. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14381/642885. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))((^x1.x1) a))) 3. ==[ eta ]==> ((^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. ------ 14382/643131. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.a))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.a))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.a))) REDUCED to normal form. ------ 14383/643380. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c d)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c d)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14384/643428. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.((^a.a)(^a.a)))) 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)(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 14385/643506. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.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. ------ 14386/643806. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 14387/643914. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 14388/644193. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.((^a.a) a))) 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. ------ 14389/644256. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.c)) REDUCED to normal form. ------ 14390/644271. ------ 1. ==[ start ]==> ((^a.(^a.b))(c a)) 2. ==[ alpha ]==> ((^x.(^y.b))(c a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14391/644319. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 14392/644373. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 14393/644427. ------ 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. ------ 14394/644445. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 14395/644451. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(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. ------ 14396/644454. ------ 1. ==[ start ]==> ((a (a b))(^b.(a a))) 2. ==[ alpha ]==> ((a (a b))(^x.(a a))) REDUCED to normal form. ------ 14397/644463. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.b)) 3. ==[ beta ]==> ((^y.b)(^z.b)) 4. ==[ alpha ]==> ((^x.b)(^y.b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14398/644529. ------ 1. ==[ start ]==> ((a a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 14399/644565. ------ 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. ------ 14400/644583. ------ 1. ==[ start ]==> ((a b)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a b)((^x.x)(^y.b))) 3. ==[ beta ]==> ((a b)(^y.b)) 4. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 14401/644592. ------ 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. ------ 14402/644601. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b) a)) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 14403/644619. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 14404/644628. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a) b)) 2. ==[ alpha ]==> (((^x.x) b)((^y.a) b)) 3. ==[ beta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 14405/644655. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14406/644673. ------ 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 ]==> ((^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. ------ 14407/644700. ------ 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)(((^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. ------ 14408/644727. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 14409/644754. ------ 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))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 14410/644817. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a))(^a.(^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. ------ 14411/644826. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(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. ------ 14412/644853. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((a a)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((a a)(a ((^y.y) a))) 8. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 14413/644898. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 14414/644952. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a) a)) REDUCED to normal form. ------ 14415/644979. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^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. ------ 14416/645042. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 14417/645069. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 14418/645132. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(a a))(((^y.y)(^z.z))(a a))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(^x1.x1))(a a))) 7. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(a a))) 9. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a a))) 10. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a a))) 11. ==[ beta ]==> ((a a)((^y.y)(a a))) 12. ==[ alpha ]==> ((a a)((^x.x)(a a))) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 14419/645159. ------ 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. ------ 14420/645213. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (a a)))) 7. ==[ beta ]==> ((a (^y.y))(a (a a))) 8. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 14421/645240. ------ 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. ------ 14422/645276. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 14423/645303. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 14424/645330. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.a))) REDUCED to normal form. ------ 14425/645348. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c d)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c d)) REDUCED to normal form. ------ 14426/645366. ------ 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. ------ 14427/645393. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 8. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 14428/645420. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(^a.a))(^a.a))) 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. ------ 14429/645438. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (a a)) b)) 3. ==[ beta ]==> ((b b)((a (a a)) b)) REDUCED to normal form. ------ 14430/645447. ------ 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. ------ 14431/645474. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 14432/645483. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(c ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(c ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14433/645510. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 14434/645564. ------ 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. ------ 14435/645573. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x)) b)) 3. ==[ beta ]==> (((a (a a)) b)(b b)) REDUCED to normal form. ------ 14436/645600. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a) c)) 3. ==[ beta ]==> (((^y.y) a)((^z.a) c)) 4. ==[ alpha ]==> (((^x.x) a)((^y.a) c)) 5. ==[ beta ]==> (a ((^y.a) c)) 6. ==[ alpha ]==> (a ((^x.a) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 14437/645618. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((^y1.y1) 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 (^x.x)) a) REDUCED to normal form. ------ 14438/645645. ------ 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. ------ 14439/645681. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a))(^z.z))) 3. ==[ beta ]==> ((a (^y.a))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.y))) REDUCED to normal form. ------ 14440/645708. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 14441/645735. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 7. ==[ beta ]==> ((a (^y.y))(^z.a)) 8. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 14442/645771. ------ 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)(^y.y))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 14443/645798. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 14444/645825. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 14445/645852. ------ 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. ------ 14446/645879. ------ 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)))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 14447/645942. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a (^z1.z1)))) 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. ------ 14448/646032. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(^a.(^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. ------ 14449/646059. ------ 1. ==[ start ]==> ((((a a) a) a)((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.a))) REDUCED to normal form. ------ 14450/646113. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1)) b)) REDUCED to normal form. ------ 14451/646158. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a ((^z.z) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a ((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a ((^z.z) a))) 5. ==[ beta ]==> ((a ((^y.y) a))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(a ((^y.y) a))) 7. ==[ beta ]==> ((a a)(a ((^y.y) a))) 8. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 14452/646167. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a) a)) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 14453/646194. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14454/646239. ------ 1. ==[ start ]==> ((a (^a.b))(c a)) 2. ==[ alpha ]==> ((a (^x.b))(c a)) REDUCED to normal form. ------ 14455/646257. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^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. ------ 14456/646284. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 14457/646311. ------ 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)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 14458/646338. ------ 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)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 14459/646365. ------ 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))) REDUCED to normal form. ------ 14460/646392. ------ 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. ------ 14461/646410. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(^a.a))) 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. ------ 14462/646419. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(a a))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(a a))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 14463/646428. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a b)) 3. ==[ beta ]==> ((^y.b)(a b)) 4. ==[ alpha ]==> ((^x.b)(a b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14464/646746. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.b))) 4. ==[ alpha ]==> (^x.(^y.(^z.b))) REDUCED to normal form. ------ 14465/648204. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14466/648384. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(^a.a))) 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. ------ 14467/648474. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14468/648531. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.y))) 3. ==[ beta ]==> ((a a)(^y.(^z.y))) 4. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 14469/648540. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(y b))) REDUCED to normal form. ------ 14470/648600. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^z.(^x1.x1)) c)(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y)) c)(^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. ------ 14471/648717. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (^z.b))) 3. ==[ beta ]==> (^y.(a (^z.b))) 4. ==[ alpha ]==> (^x.(a (^y.b))) REDUCED to normal form. ------ 14472/648720. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 14473/648789. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))(^z.a))) 3. ==[ eta ]==> ((^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. ------ 14474/648882. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((a a) a))) 3. ==[ beta ]==> (((^y.y) a)(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((a a) a))) 5. ==[ beta ]==> (a (^y.((a a) a))) 6. ==[ alpha ]==> (a (^x.((a a) a))) REDUCED to normal form. ------ 14475/648960. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 14476/649053. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.((y y) y))) 3. ==[ beta ]==> ((a a)(^y.((y y) y))) 4. ==[ alpha ]==> ((a a)(^x.((x x) x))) REDUCED to normal form. ------ 14477/649284. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14478/649842. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y)) a)) 3. ==[ beta ]==> ((((^y.(y y)) a)((^y.(y y)) a))((^y.(y y)) a)) 4. ==[ alpha ]==> ((((^x.(x x)) a)((^y.(y y)) a))((^z.(z z)) a)) 5. ==[ beta ]==> (((a a)((^y.(y y)) a))((^z.(z z)) a)) 6. ==[ alpha ]==> (((a a)((^x.(x x)) a))((^y.(y y)) a)) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y)) a)) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x)) a)) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 14479/649935. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (a (^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(y y)))) REDUCED to normal form. ------ 14480/650016. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a) a)(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)(^x.((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 14481/650097. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.a))) 7. ==[ beta ]==> ((a a)(^y.(^z.a))) 8. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 14482/650106. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.((^a.a) a))) 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. ------ 14483/650175. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14484/650178. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 14485/650331. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 14486/650355. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(^a.a))) 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. ------ 14487/650358. ------ 1. ==[ start ]==> ((a (a b))(^c.(^a.a))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 14488/650367. ------ 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. ------ 14489/650451. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 14490/650487. ------ 1. ==[ start ]==> (((a a) a)(b ((a a) a))) REDUCED to normal form. ------ 14491/650505. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 14492/650514. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (a b))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (a b))) REDUCED to normal form. ------ 14493/650541. ------ 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. ------ 14494/650568. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^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. ------ 14495/650577. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 14496/650595. ------ 1. ==[ start ]==> (((a a) b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((a (a a))((^x.x) a))) 3. ==[ beta ]==> (((a a) b)((a (a a)) a)) REDUCED to normal form. ------ 14497/650622. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (a (a a)))) REDUCED to normal form. ------ 14498/650649. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 14499/650667. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b (^z.a))) 3. ==[ beta ]==> ((^y.y)(b (^z.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 14500/650676. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((a a) a))) REDUCED to normal form. ------ 14501/650694. ------ 1. ==[ start ]==> ((a (^b.a))(a (^a.b))) 2. ==[ alpha ]==> ((a (^x.a))(a (^y.b))) REDUCED to normal form. ------ 14502/650712. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 14503/650739. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 14504/650766. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 14505/650775. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 14506/650802. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^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))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 14507/650856. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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))) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 14508/650937. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 14509/651027. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a ((a a) a))) 3. ==[ beta ]==> ((a a)(a ((a a) a))) REDUCED to normal form. ------ 14510/651108. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a b)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((a b)(a ((^y.y) a))) 6. ==[ alpha ]==> ((a b)(a ((^x.x) a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 14511/651135. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 14512/651153. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 14513/651162. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 14514/651234. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 14515/651261. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 14516/651279. ------ 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. ------ 14517/651306. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 14518/651333. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((a (a (^y.y)))(((^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. ------ 14519/651360. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (a a)) b)) REDUCED to normal form. ------ 14520/651396. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14521/651423. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 14522/651486. ------ 1. ==[ start ]==> (((a (a a)) b)((a (a a))(a a))) REDUCED to normal form. ------ 14523/651513. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^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)))) 7. ==[ beta ]==> (a (a (a (^y.y)))) 8. ==[ alpha ]==> (a (a (a (^x.x)))) REDUCED to normal form. ------ 14524/651540. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 14525/651558. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 14526/651567. ------ 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. ------ 14527/651612. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 14528/651684. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 14529/651711. ------ 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. ------ 14530/651738. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a) b)) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a) b)) 5. ==[ beta ]==> ((a a)(((^y.y) a) b)) 6. ==[ alpha ]==> ((a a)(((^x.x) a) b)) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 14531/651819. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x)) a)) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 14532/651855. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(c (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 14533/651909. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (^z.(z z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (^z.(z z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (^z.(z z)))) 5. ==[ beta ]==> (a (a (^z.(z z)))) 6. ==[ alpha ]==> (a (a (^x.(x x)))) REDUCED to normal form. ------ 14534/651945. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c b)) 3. ==[ beta ]==> (((^y.y) b)(c b)) 4. ==[ alpha ]==> (((^x.x) b)(c b)) 5. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 14535/651972. ------ 1. ==[ start ]==> ((((a a) a) a)(b c)) REDUCED to normal form. ------ 14536/651990. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 14537/652017. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 14538/652026. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (a a))) REDUCED to normal form. ------ 14539/652053. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (a (^y.y)))) REDUCED to normal form. ------ 14540/652071. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.a))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 9. ==[ beta ]==> ((a a)(^y.a)) 10. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 14541/652080. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 14542/652107. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14543/652134. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 14544/652152. ------ 1. ==[ start ]==> ((a (^a.b))(a (^b.a))) 2. ==[ alpha ]==> ((a (^x.b))(a (^y.a))) REDUCED to normal form. ------ 14545/652170. ------ 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. ------ 14546/652197. ------ 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))(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 14547/652224. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.y)) a)) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.y)) a)) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.x)) a)) REDUCED to normal form. ------ 14548/652251. ------ 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. ------ 14549/652278. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) a)) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 14550/652305. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.a) b)) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.x) b)) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 14551/652323. ------ 1. ==[ start ]==> (((^a.b) a)(b a)) 2. ==[ alpha ]==> (((^x.b) a)(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 14552/652332. ------ 1. ==[ start ]==> ((a (a b))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (a b))((a a)(^x.x))) REDUCED to normal form. ------ 14553/652341. ------ 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. ------ 14554/653010. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.((y y) y))) 3. ==[ beta ]==> ((^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)))) 5. ==[ beta ]==> ((((^y.((y y) y))(^z.((z z) z)))((^y.((y y) y))(^z.((z z) z))))((^y.((y y) y))(^z.((z z) z)))) 6. ==[ 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)))) 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))(^z1.((z1 z1) z1)))) 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))(^x2.((x2 x2) x2)))) 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))(^x2.((x2 x2) x2)))) 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))(^y2.((y2 y2) y2)))) 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))(^y2.((y2 y2) y2)))) 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))(^z2.((z2 z2) z2)))) 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))(^z2.((z2 z2) z2)))) 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))(^x3.((x3 x3) x3)))) 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))(^x3.((x3 x3) x3)))) 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))(^y3.((y3 y3) y3)))) 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))(^y3.((y3 y3) y3)))) 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))(^z3.((z3 z3) z3)))) 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))(^z3.((z3 z3) z3)))) 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))(^x4.((x4 x4) x4)))) 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))(^x4.((x4 x4) x4)))) 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))(^y4.((y4 y4) y4)))) 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))(^y4.((y4 y4) y4)))) 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))(^z4.((z4 z4) z4)))) 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))(^z4.((z4 z4) z4)))) 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))(^x5.((x5 x5) x5)))) 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))(^x5.((x5 x5) x5)))) 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))(^y5.((y5 y5) y5)))) 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))(^y5.((y5 y5) y5)))) 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))(^z5.((z5 z5) z5)))) 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))(^z5.((z5 z5) z5)))) 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))(^x6.((x6 x6) x6)))) 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))(^x6.((x6 x6) x6)))) 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))(^y6.((y6 y6) y6)))) 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))(^y6.((y6 y6) y6)))) UNREDUCED: maximal number of reductions reached. ------ 14555/653793. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(y (y y)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> (((^y.(y (y y)))((^y.(y (y y)))(^y.(y (y y)))))(^z.(z (z z)))) 6. ==[ alpha ]==> (((^x.(x (x x)))((^y.(y (y y)))(^z.(z (z z)))))(^x1.(x1 (x1 x1)))) 7. ==[ beta ]==> ((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^y.(y (y y)))(^z.(z (z z))))))(^x1.(x1 (x1 x1)))) 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))))))(^x2.(x2 (x2 x2)))) 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))))))(^x2.(x2 (x2 x2)))) 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))))))(^y2.(y2 (y2 y2)))) 11. ==[ beta ]==> (((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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)))) 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))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3))))))(^y3.(y3 (y3 y3)))) 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))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3))))))(^y3.(y3 (y3 y3)))) 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))))((^x3.(x3 (x3 x3)))(^y3.(y3 (y3 y3))))))(^z3.(z3 (z3 z3)))) 15. ==[ beta ]==> ((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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)))) 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))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4))))))(^z4.(z4 (z4 z4)))) 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))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4))))))(^z4.(z4 (z4 z4)))) 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))))))(((^z3.(z3 (z3 z3)))(^x4.(x4 (x4 x4))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4))))))(^x5.(x5 (x5 x5)))) 19. ==[ beta ]==> (((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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)))) 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))))((^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)))) 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))))((^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)))) 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))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4))))))(((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))(^y6.(y6 (y6 y6)))) 23. ==[ beta ]==> ((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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))))))(^y6.(y6 (y6 y6)))) 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))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(^y7.(y7 (y7 y7)))) 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))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(^y7.(y7 (y7 y7)))) 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))))))(((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(^z7.(z7 (z7 z7)))) 27. ==[ beta ]==> (((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(^z7.(z7 (z7 z7)))) 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))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))(^z8.(z8 (z8 z8)))) 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))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))(^z8.(z8 (z8 z8)))) 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))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8))))))(^x9.(x9 (x9 x9)))) 31. ==[ beta ]==> ((((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8))))))(^x9.(x9 (x9 x9)))) 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))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))(((^z8.(z8 (z8 z8)))(^x9.(x9 (x9 x9))))((^y9.(y9 (y9 y9)))(^z9.(z9 (z9 z9))))))(^x10.(x10 (x10 x10)))) 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))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))(((^z8.(z8 (z8 z8)))(^x9.(x9 (x9 x9))))((^y9.(y9 (y9 y9)))(^z9.(z9 (z9 z9))))))(^x10.(x10 (x10 x10)))) 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))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8))))))(((^x9.(x9 (x9 x9)))(^y9.(y9 (y9 y9))))((^z9.(z9 (z9 z9)))(^x10.(x10 (x10 x10))))))(^y10.(y10 (y10 y10)))) 35. ==[ beta ]==> (((((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^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))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8))))))(((^x9.(x9 (x9 x9)))(^y9.(y9 (y9 y9))))((^z9.(z9 (z9 z9)))(^x10.(x10 (x10 x10))))))(^y10.(y10 (y10 y10)))) UNREDUCED: maximal number of reductions reached. ------ 14556/654126. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.c)) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14557/654450. ------ 1. ==[ start ]==> ((^a.b)(b ((a a) a))) 2. ==[ alpha ]==> ((^x.b)(b ((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 14558/654471. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 14559/654486. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14560/654531. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))(a (^y1.y1)))(^y.y)) 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. ------ 14561/654822. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 14562/654984. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.a))) 3. ==[ beta ]==> ((a a)(^y.(^z.a))) 4. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 14563/654990. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a ((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))((a ((a a) a))(a ((a a) a)))) REDUCED to normal form. ------ 14564/654993. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.((x x) x))) REDUCED to normal form. ------ 14565/655146. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.z))) REDUCED to normal form. ------ 14566/655215. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14567/655551. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 14568/655773. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (a (a a)))) 3. ==[ beta ]==> (((a (a (a a)))(a (a (a a))))(a (a (a a)))) REDUCED to normal form. ------ 14569/655776. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(x (x x)))) REDUCED to normal form. ------ 14570/656037. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 14571/656106. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14572/656109. ------ 1. ==[ start ]==> ((a (^a.b))(^b.c)) 2. ==[ alpha ]==> ((a (^x.b))(^y.c)) REDUCED to normal form. ------ 14573/656235. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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)))) REDUCED to normal form. ------ 14574/656280. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 14575/656286. ------ 1. ==[ start ]==> ((^a.(a b))(b a)) 2. ==[ alpha ]==> ((^x.(x b))(b a)) 3. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 14576/656298. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14577/656400. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 14578/656436. ------ 1. ==[ start ]==> ((a b)(b ((a a) a))) REDUCED to normal form. ------ 14579/656454. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 14580/656472. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b) a)) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 14581/656490. ------ 1. ==[ start ]==> (((a a)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 14582/656517. ------ 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)))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 14583/656526. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14584/656616. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.a))) REDUCED to normal form. ------ 14585/656670. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 14586/656715. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(^z.a))) 3. ==[ beta ]==> ((^y.a)((a (a a))(^z.a))) 4. ==[ alpha ]==> ((^x.a)((a (a a))(^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 14587/656742. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(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. ------ 14588/656751. ------ 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 (^x.x)) b) a) REDUCED to normal form. ------ 14589/656778. ------ 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)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 14590/656805. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.a))((a a) a)) REDUCED to normal form. ------ 14591/656823. ------ 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)(((a a) a) a)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 14592/656859. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^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. ------ 14593/656949. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a a))(b (^y.y))) 6. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 14594/656976. ------ 1. ==[ start ]==> ((a (a (a a)))(a ((a a) a))) REDUCED to normal form. ------ 14595/657012. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14596/657102. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 14597/657129. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.a))) REDUCED to normal form. ------ 14598/657156. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 14599/657174. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 14600/657183. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 14601/657201. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 14602/657291. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))(^a.a))) 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. ------ 14603/657336. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a) c)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14604/657417. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14605/657471. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) c)) 5. ==[ beta ]==> ((^y.y)((^z.a) c)) 6. ==[ alpha ]==> ((^x.x)((^y.a) c)) 7. ==[ beta ]==> ((^y.a) c) 8. ==[ alpha ]==> ((^x.a) c) 9. ==[ beta ]==> a REDUCED to normal form. ------ 14606/657480. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 14607/657507. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.(z z)))) REDUCED to normal form. ------ 14608/657534. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 14609/657552. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (a a))(^z.z))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 14610/657561. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 14611/657588. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 7. ==[ beta ]==> ((^y.a)(a (^z.z))) 8. ==[ alpha ]==> ((^x.a)(a (^y.y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 14612/657732. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a a))(b ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(b ((^y.y) a))) 5. ==[ beta ]==> ((a a)(b ((^y.y) a))) 6. ==[ alpha ]==> ((a a)(b ((^x.x) a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 14613/657759. ------ 1. ==[ start ]==> ((a ((a a) a))(a (a (a a)))) REDUCED to normal form. ------ 14614/657795. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) b)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 14615/657885. ------ 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) REDUCED to normal form. ------ 14616/657912. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 14617/657930. ------ 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. ------ 14618/657957. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) 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. ------ 14619/657966. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)(^a.a))) 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. ------ 14620/657993. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))(^a.(^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. ------ 14621/658020. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.a)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.a)) REDUCED to normal form. ------ 14622/658074. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 14623/658092. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a) c)) 2. ==[ alpha ]==> ((a (^x.b))((^y.y) c)) 3. ==[ beta ]==> ((a (^x.b)) c) REDUCED to normal form. ------ 14624/658137. ------ 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 (^x.x))(^z.z))(b b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b b)) REDUCED to normal form. ------ 14625/658191. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b (a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b (a a))) 3. ==[ beta ]==> (((a (a a)) a)(b (a a))) REDUCED to normal form. ------ 14626/658218. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a (a (^x1.x1)))) 3. ==[ beta ]==> (((^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. ------ 14627/658245. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a a)(a a))) REDUCED to normal form. ------ 14628/658263. ------ 1. ==[ start ]==> (((^a.b) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 14629/658272. ------ 1. ==[ start ]==> ((a (a b))(b a)) REDUCED to normal form. ------ 14630/658281. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(^a.a))) 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. ------ 14631/658361. ------ 1. ==[ start ]==> (^a.((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (^x.((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (^x.((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (^x.((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 14632/658362. ------ 1. ==[ start ]==> (a ((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (a ((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (a ((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (a ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 14633/658455. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14634/658617. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((a a) a))) 3. ==[ beta ]==> (^y.(^z.((a a) a))) 4. ==[ alpha ]==> (^x.(^y.((a a) a))) REDUCED to normal form. ------ 14635/658959. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.a))) 3. ==[ beta ]==> ((^y.(^z.a))((^y.(^z.a))(^y.(^z.a)))) 4. ==[ alpha ]==> ((^x.(^y.a))((^z.(^x1.a))(^y1.(^z1.a)))) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 14636/659742. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((^y.(^z.(z z)))(^y.(^z.(z z))))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((^x.(^y.(y y)))(^z.(^x1.(x1 x1))))(^y1.(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.(y y))(^y1.(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(z z)))) 7. ==[ beta ]==> ((^y.(^z.(z z)))(^y.(^z.(z z)))) 8. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(x1 x1)))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 14637/660075. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14638/660255. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 4. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14639/660348. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a))) a) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y))) a) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y))) a) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y))) a) IRREDUCIBLE: cycle. ------ 14640/660354. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 5. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 14641/660381. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a ((^x1.a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 14642/660408. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 14643/660444. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14644/660447. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z b))) REDUCED to normal form. ------ 14645/660606. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)((a a) a))) 3. ==[ beta ]==> (^y.((a a)((a a) a))) 4. ==[ alpha ]==> (^x.((a a)((a a) a))) REDUCED to normal form. ------ 14646/660609. ------ 1. ==[ start ]==> ((a (^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 14647/660627. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 14648/660678. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 14649/660780. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 14650/660951. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.a))) REDUCED to normal form. ------ 14651/660960. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((z z) z))) 3. ==[ beta ]==> ((^y.(y y))(^z.((z z) z))) 4. ==[ alpha ]==> ((^x.(x x))(^y.((y y) y))) 5. ==[ beta ]==> ((^y.((y y) y))(^y.((y y) y))) 6. ==[ alpha ]==> ((^x.((x x) x))(^y.((y y) y))) 7. ==[ beta ]==> (((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y))) 8. ==[ alpha ]==> (((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z))) 9. ==[ beta ]==> ((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z))) 10. ==[ alpha ]==> ((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1))) 11. ==[ beta ]==> (((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1))) 12. ==[ alpha ]==> (((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) UNREDUCED: maximal number of reductions reached. ------ 14652/661248. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.((^a.a)(^a.a)))) 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)))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 14653/661299. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(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. ------ 14654/661392. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14655/661626. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(a (a a)))) REDUCED to normal form. ------ 14656/661731. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((((^y.y)(^z.(z z)))((^y.y)(^z.(z z))))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1))))((^y1.y1)(^z1.(z1 z1)))) 5. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.(x1 x1))))((^y1.y1)(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.(z z))))((^x1.x1)(^y1.(y1 y1)))) 7. ==[ beta ]==> ((((^y.y)(^z.(z z)))((^y.y)(^z.(z z))))((^x1.x1)(^y1.(y1 y1)))) 8. ==[ alpha ]==> ((((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1))))((^y1.y1)(^z1.(z1 z1)))) IRREDUCIBLE: cycle. ------ 14657/661734. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 14658/661824. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (a (^z.((^x1.x1) a))) 6. ==[ alpha ]==> (a (^x.((^y.y) a))) 7. ==[ beta ]==> (a (^x.a)) REDUCED to normal form. ------ 14659/661995. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 14660/662064. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(a (^z.z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14661/662067. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(a (^z.z)))) REDUCED to normal form. ------ 14662/662085. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.x))) REDUCED to normal form. ------ 14663/662139. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (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)))) REDUCED to normal form. ------ 14664/662193. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 14665/662238. ------ 1. ==[ start ]==> (((^a.b) a)(^b.b)) 2. ==[ alpha ]==> (((^x.b) a)(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 14666/662244. ------ 1. ==[ start ]==> ((^a.(a b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a (^y.(^z.z))) b) 4. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 14667/662247. ------ 1. ==[ start ]==> ((a (a b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 14668/662337. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.z)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.z)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.z)) IRREDUCIBLE: cycle. ------ 14669/662349. ------ 1. ==[ start ]==> ((a a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 14670/662376. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 14671/662403. ------ 1. ==[ start ]==> ((a b)((^a.(^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. ------ 14672/662412. ------ 1. ==[ start ]==> (((^a.a)(a a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(b ((a a) a))) 3. ==[ beta ]==> ((a a)(b ((a a) a))) REDUCED to normal form. ------ 14673/662439. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 14674/662448. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b) a)) 2. ==[ alpha ]==> (((^x.x) b)((^y.b) a)) 3. ==[ beta ]==> (b ((^y.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 14675/662493. ------ 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 (^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. ------ 14676/662502. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 14677/662520. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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. ------ 14678/662547. ------ 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. ------ 14679/662574. ------ 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 (^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. ------ 14680/662601. ------ 1. ==[ start ]==> ((a (^b.a))((a a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))((a a)((a a) a))) REDUCED to normal form. ------ 14681/662619. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.b))) REDUCED to normal form. ------ 14682/662637. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a)(^z.z))) 3. ==[ beta ]==> ((^y.y)(((a a) 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. ------ 14683/662673. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 14684/662718. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) 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. ------ 14685/662745. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 14686/662772. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 14687/662799. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a) a)) REDUCED to normal form. ------ 14688/662826. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.x))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 14689/662862. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^y.a))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 14690/662889. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 14691/662916. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 14692/662952. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a ((a a) a))) 3. ==[ beta ]==> ((^y.(y y))(a ((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))(a ((a a) a))) 5. ==[ beta ]==> ((a ((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 14693/662979. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 14694/663015. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y)) c)) 3. ==[ beta ]==> ((a b)((^y.(y y)) c)) 4. ==[ alpha ]==> ((a b)((^x.(x x)) c)) 5. ==[ beta ]==> ((a b)(c c)) REDUCED to normal form. ------ 14695/663033. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((^y.y) a)((^z.z) 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. ------ 14696/663060. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 14697/663087. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)((^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. ------ 14698/663123. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 14699/663150. ------ 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. ------ 14700/663186. ------ 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. ------ 14701/663213. ------ 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 (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 14702/663240. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z)((^x1.x1)(^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))) 7. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 8. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 14703/663258. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 14704/663267. ------ 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. ------ 14705/663294. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 14706/663384. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a ((^a.a)(^a.a)))) 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))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 14707/663393. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 14708/663420. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z)) b)) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z)) b)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y)) b)) 5. ==[ beta ]==> (a ((^y.(y y)) b)) 6. ==[ alpha ]==> (a ((^x.(x x)) b)) 7. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 14709/663438. ------ 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. ------ 14710/663447. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 14711/663465. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a (^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. ------ 14712/663528. ------ 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. ------ 14713/663555. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 14714/663591. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 14715/663618. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (a a))) REDUCED to normal form. ------ 14716/663645. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.y))) 7. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 14717/663672. ------ 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. ------ 14718/663699. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 14719/663726. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(y y))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(x x))) REDUCED to normal form. ------ 14720/663762. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 14721/663816. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)((^z.z) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)((^z.z) a))) 5. ==[ beta ]==> (a ((a a)((^z.z) a))) 6. ==[ alpha ]==> (a ((a a)((^x.x) a))) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 14722/663852. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (b (((^y.y) a)(^z.z))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 14723/663879. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 14724/663897. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b c)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b c)) 3. ==[ beta ]==> (((a a) a)(b c)) REDUCED to normal form. ------ 14725/663933. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 14726/663960. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z)) b)) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z)) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y)) b)) REDUCED to normal form. ------ 14727/663978. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b (a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b (a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (a (^z.z)))) 5. ==[ beta ]==> ((a ((^y.y) a))(b (a (^z.z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b (a (^y.y)))) 7. ==[ beta ]==> ((a a)(b (a (^y.y)))) 8. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 14728/663987. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a a) c)) REDUCED to normal form. ------ 14729/664014. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14730/664041. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 14731/664059. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(a (^y.y)))) REDUCED to normal form. ------ 14732/664077. ------ 1. ==[ start ]==> (((a a)((a a) a))(a (^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(a (^x.a))) REDUCED to normal form. ------ 14733/664104. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 14734/664131. ------ 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. ------ 14735/664158. ------ 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))) 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. ------ 14736/664185. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 14737/664212. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.x))) REDUCED to normal form. ------ 14738/664230. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a) 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. ------ 14739/664239. ------ 1. ==[ start ]==> ((a (a b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 14740/664248. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b a)) 3. ==[ beta ]==> ((^y.b)(b a)) 4. ==[ alpha ]==> ((^x.b)(b a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14741/664329. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a a)) IRREDUCIBLE: cycle. ------ 14742/664431. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14743/666231. ------ 1. ==[ start ]==> ((^a.(a b))(^b.b)) 2. ==[ alpha ]==> ((^x.(x b))(^y.y)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14744/666324. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a))) b) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y))) b) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y))) b) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y))) b) IRREDUCIBLE: cycle. ------ 14745/666348. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14746/666429. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14747/666432. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 14748/666441. ------ 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. ------ 14749/666591. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (^z.a))) 3. ==[ beta ]==> (^y.(b (^z.a))) 4. ==[ alpha ]==> (^x.(b (^y.a))) REDUCED to normal form. ------ 14750/666663. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^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. ------ 14751/666783. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 14752/666834. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 14753/666945. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.a))) 5. ==[ beta ]==> ((^y.(^z.a))(^y.(^z.a))) 6. ==[ alpha ]==> ((^x.(^y.a))(^z.(^x1.a))) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 14754/667089. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 14755/667158. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14756/667284. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14757/667377. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 14758/667386. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(^x.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 14759/667494. ------ 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)))) REDUCED to normal form. ------ 14760/667512. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 14761/667917. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 14762/668007. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.((^a.a) a))) 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. ------ 14763/668049. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14764/668070. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.c)) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.c)) REDUCED to normal form. ------ 14765/668223. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(a a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(a a))) 3. ==[ beta ]==> (b (^y.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 14766/668229. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a) 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. ------ 14767/668232. ------ 1. ==[ start ]==> ((a (a b))(^b.b)) 2. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 14768/668241. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14769/668322. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.(^a.a))) 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. ------ 14770/668352. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.x))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 14771/668379. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 14772/668415. ------ 1. ==[ start ]==> (((a a)(^a.a))(b ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(b ((a a) a))) REDUCED to normal form. ------ 14773/668433. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 14774/668442. ------ 1. ==[ start ]==> (((^a.a) b)(a (a b))) 2. ==[ alpha ]==> (((^x.x) b)(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 14775/668451. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b) a)) 2. ==[ alpha ]==> (((a a)(a a))((^x.b) a)) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 14776/668469. ------ 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) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 14777/668496. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) b)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a a) b)(a (^y.y))) 6. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 14778/668523. ------ 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. ------ 14779/668550. ------ 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. ------ 14780/668577. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 14781/668595. ------ 1. ==[ start ]==> ((a (^b.a))(b (^c.a))) 2. ==[ alpha ]==> ((a (^x.a))(b (^y.a))) REDUCED to normal form. ------ 14782/668640. ------ 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. ------ 14783/668667. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 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)((^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. ------ 14784/668676. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 14785/668703. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1) a))) 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. ------ 14786/668757. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 14787/668784. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 14788/668838. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 14789/668928. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 14790/669009. ------ 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. ------ 14791/669036. ------ 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)(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. ------ 14792/669063. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 14793/669081. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 14794/669090. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.z))) REDUCED to normal form. ------ 14795/669135. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 14796/669162. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 14797/669180. ------ 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. ------ 14798/669207. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 14799/669234. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 14800/669261. ------ 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. ------ 14801/669288. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a)) b)) 3. ==[ beta ]==> ((a (^y.y))((a (a a)) b)) 4. ==[ alpha ]==> ((a (^x.x))((a (a a)) b)) REDUCED to normal form. ------ 14802/669297. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 14803/669324. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 14804/669378. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(^b.(^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. ------ 14805/669387. ------ 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. ------ 14806/669414. ------ 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. ------ 14807/669441. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 14808/669468. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a (^z.z)) a)) REDUCED to normal form. ------ 14809/669495. ------ 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. ------ 14810/669513. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 14811/669585. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 14812/669612. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 14813/669639. ------ 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. ------ 14814/669666. ------ 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. ------ 14815/669810. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (^z.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (^z.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (^z.a))) 5. ==[ beta ]==> (a (b (^z.a))) 6. ==[ alpha ]==> (a (b (^x.a))) REDUCED to normal form. ------ 14816/669891. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 14817/669918. ------ 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)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1) 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. ------ 14818/669972. ------ 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.(^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. ------ 14819/669981. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (a (^y.y)))) REDUCED to normal form. ------ 14820/670008. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a ((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a ((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14821/670035. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 14822/670053. ------ 1. ==[ start ]==> ((a (^a.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 14823/670098. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 14824/670125. ------ 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. ------ 14825/670152. ------ 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)) REDUCED to normal form. ------ 14826/670179. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a a) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a) b)) 5. ==[ beta ]==> ((a (^y.y))((a a) b)) 6. ==[ alpha ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 14827/670206. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^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. ------ 14828/670224. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(a a))) 2. ==[ alpha ]==> (((^x.b) a)((a a)(a a))) 3. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 14829/670233. ------ 1. ==[ start ]==> ((a (a b))((^a.a) b)) 2. ==[ alpha ]==> ((a (a b))((^x.x) b)) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 14830/670242. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(a (^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14831/670323. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.z))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a (^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.z))) IRREDUCIBLE: cycle. ------ 14832/672234. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(a a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(a a))) 3. ==[ beta ]==> ((^y.(a a)) b) 4. ==[ alpha ]==> ((^x.(a a)) b) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 14833/672405. ------ 1. ==[ start ]==> ((^a.b)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 14834/672453. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 14835/672462. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(a b))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(x b))) REDUCED to normal form. ------ 14836/672486. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) 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. ------ 14837/672642. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 14838/672804. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((a a) a))) REDUCED to normal form. ------ 14839/672846. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 14840/672945. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> ((b ((^x.x)(^y.y)))((b ((^z.z)(^x1.x1)))(b ((^y1.y1)(^z1.z1))))) 5. ==[ beta ]==> ((b (^y.y))((b ((^z.z)(^x1.x1)))(b ((^y1.y1)(^z1.z1))))) 6. ==[ alpha ]==> ((b (^x.x))((b ((^y.y)(^z.z)))(b ((^x1.x1)(^y1.y1))))) 7. ==[ beta ]==> ((b (^x.x))((b (^z.z))(b ((^x1.x1)(^y1.y1))))) 8. ==[ alpha ]==> ((b (^x.x))((b (^y.y))(b ((^z.z)(^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. ------ 14841/673170. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14842/673263. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.((^a.a)(^a.a)))) 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)(^x.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 14843/673398. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 14844/673533. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 14845/673728. ------ 1. ==[ start ]==> ((^a.((a a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))(b ((^y.y) a))) 3. ==[ beta ]==> (((b ((^y.y) a))(b ((^y.y) a)))(b ((^y.y) a))) 4. ==[ alpha ]==> (((b ((^x.x) a))(b ((^y.y) a)))(b ((^z.z) a))) 5. ==[ beta ]==> (((b a)(b ((^y.y) a)))(b ((^z.z) a))) 6. ==[ alpha ]==> (((b a)(b ((^x.x) a)))(b ((^y.y) a))) 7. ==[ beta ]==> (((b a)(b a))(b ((^y.y) a))) 8. ==[ alpha ]==> (((b a)(b a))(b ((^x.x) a))) 9. ==[ beta ]==> (((b a)(b a))(b a)) REDUCED to normal form. ------ 14846/673857. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(z z)))) 5. ==[ beta ]==> (b (^y.(^z.(z z)))) 6. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 14847/673938. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 14848/674019. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(^b.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. ------ 14849/674061. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14850/674217. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 14851/674241. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(a a))) 2. ==[ alpha ]==> ((^x.(x b))((a a)(a a))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 14852/674244. ------ 1. ==[ start ]==> ((a (a b))(^c.(a a))) 2. ==[ alpha ]==> ((a (a b))(^x.(a a))) REDUCED to normal form. ------ 14853/674253. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.z)) 3. ==[ beta ]==> ((^y.b)(^z.z)) 4. ==[ alpha ]==> ((^x.b)(^y.y)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 14854/674334. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.a)) IRREDUCIBLE: cycle. ------ 14855/674382. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (a ((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (a ((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (a ((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 14856/674409. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 14857/674418. ------ 1. ==[ start ]==> ((a b)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a b)(c (^y.y))) 4. ==[ alpha ]==> ((a b)(c (^x.x))) REDUCED to normal form. ------ 14858/674463. ------ 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))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 14859/674472. ------ 1. ==[ start ]==> (((a a)(a a))(a (a b))) REDUCED to normal form. ------ 14860/674499. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a)(a a))) REDUCED to normal form. ------ 14861/674535. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 14862/674634. ------ 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. ------ 14863/674652. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a (^z.b))) 3. ==[ beta ]==> ((^y.y)(a (^z.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 14864/674697. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))(^a.(^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. ------ 14865/674724. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 14866/674733. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)((^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. ------ 14867/674760. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)(a (a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 14868/674778. ------ 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. ------ 14869/674787. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^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. ------ 14870/674814. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 14871/674859. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 14872/674949. ------ 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 a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 14873/674958. ------ 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. ------ 14874/674994. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 14875/675111. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 14876/675156. ------ 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)(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. ------ 14877/675165. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 14878/675183. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 14879/675273. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 14880/675318. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 14881/675408. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(^b.(^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. ------ 14882/675453. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(z z)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 7. ==[ beta ]==> ((^y.(y y)) b) 8. ==[ alpha ]==> ((^x.(x x)) b) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 14883/675480. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 14884/675516. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.a))(b (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.(y y)))) REDUCED to normal form. ------ 14885/675543. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 14886/675570. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 7. ==[ beta ]==> ((^y.(y y))(a a)) 8. ==[ alpha ]==> ((^x.(x x))(a a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 14887/675741. ------ 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. ------ 14888/675777. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1)) 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. ------ 14889/675831. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (a ((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) c)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 14890/675867. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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. ------ 14891/675894. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(a a))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 14892/675912. ------ 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. ------ 14893/675939. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.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. ------ 14894/675948. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 14895/675975. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 14896/675993. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z)) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z)) 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 a)((a (^y.y)) b)) 8. ==[ alpha ]==> ((a a)((a (^x.x)) b)) REDUCED to normal form. ------ 14897/676002. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 14898/676029. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14899/676074. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 14900/676092. ------ 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. ------ 14901/676146. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(b b)) 3. ==[ beta ]==> ((a (a (a a)))(b b)) REDUCED to normal form. ------ 14902/676200. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b (a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b (a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (a a))) 5. ==[ beta ]==> ((a (^y.y))(b (a a))) 6. ==[ alpha ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 14903/676227. ------ 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. ------ 14904/676245. ------ 1. ==[ start ]==> (((^a.b) a)(b (^a.a))) 2. ==[ alpha ]==> (((^x.b) a)(b (^y.y))) 3. ==[ beta ]==> (b (b (^y.y))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 14905/676254. ------ 1. ==[ start ]==> ((a (a b))((a a)(a a))) REDUCED to normal form. ------ 14906/676263. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a) 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. ------ 14907/676344. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a) 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. ------ 14908/676370. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.x))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14909/676371. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 14910/678390. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^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. ------ 14911/678417. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 14912/678444. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 14913/678480. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b ((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 14914/678501. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 14915/678642. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (^x.((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^x.((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> (^x.((a (^y.y))(^z.z))) REDUCED to normal form. ------ 14916/678690. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.b))) REDUCED to normal form. ------ 14917/678984. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))(((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.(^z1.z1))(^x2.(^y2.y2)))((^z2.(^x3.x3))(^y3.(^z3.z3))))) 5. ==[ beta ]==> ((^y.y)(((^y1.(^z1.z1))(^x2.(^y2.y2)))((^z2.(^x3.x3))(^y3.(^z3.z3))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14918/679023. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((^y.y)(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 14919/679302. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 14920/679311. ------ 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. ------ 14921/679335. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))(^a.a))) 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. ------ 14922/679689. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(a (a a)))) 5. ==[ beta ]==> ((a a)(^y.(a (a a)))) 6. ==[ alpha ]==> ((a a)(^x.(a (a a)))) REDUCED to normal form. ------ 14923/679767. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.a))((^y.(^z.z))(^x1.a)))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a)))((^x2.(^y2.y2))(^z2.a))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.a)))((^x2.(^y2.y2))(^z2.a))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.a)))((^y1.(^z1.z1))(^x2.a))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y1.(^z1.z1))(^x2.a))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 14924/679806. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 (y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 (y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 14925/679977. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 14926/680100. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 14927/680148. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.z))) REDUCED to normal form. ------ 14928/680202. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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)))) REDUCED to normal form. ------ 14929/680256. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 14930/680280. ------ 1. ==[ start ]==> ((^a.(a b))(b (^a.a))) 2. ==[ alpha ]==> ((^x.(x b))(b (^y.y))) 3. ==[ beta ]==> ((b (^y.y)) b) 4. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 14931/680292. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(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. ------ 14932/680373. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(z z))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(z z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(z z))) IRREDUCIBLE: cycle. ------ 14933/680412. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 14934/680439. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 14935/680466. ------ 1. ==[ start ]==> ((a b)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 14936/680502. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((a a) a))) REDUCED to normal form. ------ 14937/680520. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.b))) 3. ==[ beta ]==> (((a a)(a a))(^y.b)) 4. ==[ alpha ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 14938/680538. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 14939/680556. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(a a))) 3. ==[ beta ]==> ((^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. ------ 14940/680565. ------ 1. ==[ start ]==> (((a a) b)((^c.a) b)) 2. ==[ alpha ]==> (((a a) b)((^x.a) b)) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 14941/680583. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(a (^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. ------ 14942/680592. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 14943/680610. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))((a (a a)) a)) REDUCED to normal form. ------ 14944/680637. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 14945/680664. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 14946/680682. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 14947/680709. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.b))) REDUCED to normal form. ------ 14948/680781. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(^y.a))) REDUCED to normal form. ------ 14949/680808. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(a (^y.(y y)))) 6. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 14950/680835. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 14951/680889. ------ 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. ------ 14952/680925. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) 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. ------ 14953/680952. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 14954/680979. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 14955/681006. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 14956/681015. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b ((^y.y)(^z.z)))(b ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((b ((^x.x)(^y.y)))(b ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((b (^y.y))(b ((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((b (^x.x))(b ((^y.y)(^z.z)))) 9. ==[ beta ]==> ((b (^x.x))(b (^z.z))) 10. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 14957/681042. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a ((a a) a))) 3. ==[ beta ]==> ((^y.y)(a ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 14958/681078. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 14959/681096. ------ 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. ------ 14960/681123. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(a ((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))(a ((^x.x) a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 14961/681150. ------ 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)((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. ------ 14962/681213. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^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. ------ 14963/681249. ------ 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. ------ 14964/681276. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 14965/681303. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 14966/681321. ------ 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 b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 14967/681330. ------ 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. ------ 14968/681357. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))(^a.a))) 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. ------ 14969/681447. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (a (a a)))) 5. ==[ beta ]==> ((^y.y)(b (a (a a)))) 6. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 14970/681483. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) a)) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 14971/681501. ------ 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. ------ 14972/681510. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 14973/681528. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 14974/681537. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 14975/681582. ------ 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. ------ 14976/681618. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.z))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 14977/681654. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 14978/681681. ------ 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)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 14979/681708. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)(a (a a)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 14980/681735. ------ 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. ------ 14981/681762. ------ 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)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 14982/681789. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 14983/681825. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 14984/681879. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (a ((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (a ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 14985/681942. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) 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. ------ 14986/681987. ------ 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)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 14987/681996. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.a))) REDUCED to normal form. ------ 14988/682023. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a) a)) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a) a)) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 14989/682050. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y)) b)) REDUCED to normal form. ------ 14990/682104. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 14991/682122. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(a a))) REDUCED to normal form. ------ 14992/682140. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 14993/682167. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.a))) REDUCED to normal form. ------ 14994/682194. ------ 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))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 14995/682221. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 14996/682248. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.z1))) 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. ------ 14997/682275. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.a)(^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. ------ 14998/682293. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> (b ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 14999/682302. ------ 1. ==[ start ]==> ((a (a b))(b (^a.a))) 2. ==[ alpha ]==> ((a (a b))(b (^x.x))) REDUCED to normal form. ------ 15000/682311. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(a a))) 3. ==[ beta ]==> ((^y.b)((a a)(a a))) 4. ==[ alpha ]==> ((^x.b)((a a)(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15001/682392. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a (a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (a a))) IRREDUCIBLE: cycle. ------ 15002/684465. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15003/684585. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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)) REDUCED to normal form. ------ 15004/684591. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b) a)) 3. ==[ beta ]==> (((^z.b) a)(^y.y)) 4. ==[ alpha ]==> (((^x.b) a)(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 15005/684708. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(c (^y.(^z.z)))) REDUCED to normal form. ------ 15006/684747. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 15007/684780. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a)(^z.z))) 3. ==[ eta ]==> ((^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. ------ 15008/685089. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 15009/685275. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15010/685401. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15011/685530. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a (^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (^x.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 15012/685872. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 15013/685962. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) b)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z) a))) 5. ==[ beta ]==> (b (^y.((^z.z) a))) 6. ==[ alpha ]==> (b (^x.((^y.y) a))) 7. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 15014/686151. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.((^a.a) a))) 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. ------ 15015/686166. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (^z.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 15016/686214. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.c)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.c)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.c)) REDUCED to normal form. ------ 15017/686340. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(a (^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)))) REDUCED to normal form. ------ 15018/686346. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((^y.(^z.z)) a) b) 4. ==[ alpha ]==> (((^x.(^y.y)) a) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 15019/686439. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(^a.a))) 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. ------ 15020/686496. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 15021/686523. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 15022/686550. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 15023/686586. ------ 1. ==[ start ]==> (((^a.a) b)(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x) b)(b ((a a) a))) 3. ==[ beta ]==> (b (b ((a a) a))) REDUCED to normal form. ------ 15024/686613. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 15025/686622. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b) a)) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 15026/686640. ------ 1. ==[ start ]==> (((a a) b)(((a a) a)(a a))) REDUCED to normal form. ------ 15027/686667. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^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. ------ 15028/686694. ------ 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. ------ 15029/686721. ------ 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 (^x.x))(^y.y))(a (a (a a)))) REDUCED to normal form. ------ 15030/686739. ------ 1. ==[ start ]==> ((a (^b.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 15031/686775. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 15032/686811. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a)(^a.a))) 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. ------ 15033/686820. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(a a))) 3. ==[ beta ]==> ((^y.a)((^z.a)(a a))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 15034/686847. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^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. ------ 15035/686901. ------ 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)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 15036/686928. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))((^z1.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. ------ 15037/687000. ------ 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) 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. ------ 15038/687090. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 7. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15039/687117. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 15040/687153. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 15041/687180. ------ 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. ------ 15042/687207. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 15043/687234. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 15044/687261. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 15045/687306. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 15046/687324. ------ 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. ------ 15047/687351. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (^z.a))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.a))) REDUCED to normal form. ------ 15048/687378. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 15049/687405. ------ 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. ------ 15050/687432. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 15051/687441. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a))(^a.a))) 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. ------ 15052/687468. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 15053/687522. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^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. ------ 15054/687531. ------ 1. ==[ start ]==> (((a (a a)) b)(b (a (a a)))) REDUCED to normal form. ------ 15055/687558. ------ 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)))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 15056/687585. ------ 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. ------ 15057/687612. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (a (^z.z)))) REDUCED to normal form. ------ 15058/687639. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.a))((a (^y.y)) a)) REDUCED to normal form. ------ 15059/687657. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b (^z.(z z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 15060/687666. ------ 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. ------ 15061/687729. ------ 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)(^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. ------ 15062/687756. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 15063/687783. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 15064/687810. ------ 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. ------ 15065/687837. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) a) b)) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a) b)) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a) b)) 5. ==[ beta ]==> ((a a)(((^y.y) a) b)) 6. ==[ alpha ]==> ((a a)(((^x.x) a) b)) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 15066/687900. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(z1 z1)))) 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. ------ 15067/687954. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> (a (c (^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (c (^x.(^y.y)))) REDUCED to normal form. ------ 15068/687990. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y) b)((a a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) b)((a a)((^y.y) a))) 5. ==[ beta ]==> (b ((a a)((^y.y) a))) 6. ==[ alpha ]==> (b ((a a)((^x.x) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 15069/688035. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(a a))) 3. ==[ beta ]==> (((a a) a)((^y.a)(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(a a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 15070/688062. ------ 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.(^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. ------ 15071/688071. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b c)) REDUCED to normal form. ------ 15072/688116. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.z))) 7. ==[ beta ]==> ((a a)((^y.a)(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 15073/688125. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (a a))) REDUCED to normal form. ------ 15074/688152. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15075/688179. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 15076/688197. ------ 1. ==[ start ]==> ((a (^a.b))(c (^a.a))) 2. ==[ alpha ]==> ((a (^x.b))(c (^y.y))) REDUCED to normal form. ------ 15077/688215. ------ 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))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 15078/688269. ------ 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. ------ 15079/688296. ------ 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. ------ 15080/688323. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z)) a)) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z)) a)) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 15081/688350. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a a) b)) REDUCED to normal form. ------ 15082/688368. ------ 1. ==[ start ]==> (((^a.b) a)(a (a (^a.a)))) 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. ------ 15083/688377. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 15084/688386. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (^a.a))) 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. ------ 15085/688467. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)(^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. ------ 15086/688650. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(z b))) 3. ==[ beta ]==> ((^z.(z b))(^y.y)) 4. ==[ alpha ]==> ((^x.(x b))(^y.y)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 15087/690405. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(a (^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 ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 15088/690678. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 15089/690684. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (a b))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 15090/690687. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y b))) REDUCED to normal form. ------ 15091/691029. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 15092/691044. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 15093/691368. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15094/691623. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 15095/691758. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 15096/691965. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.d)) 3. ==[ beta ]==> ((^y.y)(^y1.d)) 4. ==[ alpha ]==> ((^x.x)(^y.d)) 5. ==[ beta ]==> (^y.d) 6. ==[ alpha ]==> (^x.d) REDUCED to normal form. ------ 15097/692082. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 15098/692163. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^y.a)) REDUCED to normal form. ------ 15099/692244. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 15100/692259. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 15101/692433. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 15102/692439. ------ 1. ==[ start ]==> ((^a.(a b))(a (a (^a.a)))) 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. ------ 15103/692442. ------ 1. ==[ start ]==> ((a (a b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(x (^y.y)))) REDUCED to normal form. ------ 15104/692607. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 15105/692634. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 15106/692661. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 15107/692688. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^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. ------ 15108/692697. ------ 1. ==[ start ]==> (((a a)(a a))(b ((a a) a))) REDUCED to normal form. ------ 15109/692715. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 15110/692724. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (a b))) REDUCED to normal form. ------ 15111/692733. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15112/692787. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 15113/692859. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 15114/692877. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(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. ------ 15115/692886. ------ 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. ------ 15116/692922. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)(^a.a))) 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 REDUCED to normal form. ------ 15117/692949. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^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. ------ 15118/692958. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 15119/692985. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((a a)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((a a)(a ((^y.y) a))) 8. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 15120/693003. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.(z z)))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.(y y)))) 7. ==[ beta ]==> (a (a (^y.(y y)))) 8. ==[ alpha ]==> (a (a (^x.(x x)))) REDUCED to normal form. ------ 15121/693012. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 15122/693030. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 15123/693039. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.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. ------ 15124/693066. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^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. ------ 15125/693084. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a) a)) REDUCED to normal form. ------ 15126/693174. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 15127/693273. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 7. ==[ beta ]==> ((^y.(^z.z)) b) 8. ==[ alpha ]==> ((^x.(^y.y)) b) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15128/693336. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (^z.(z z)))) REDUCED to normal form. ------ 15129/693363. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 15130/693408. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 15131/693498. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 15132/693543. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^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. ------ 15133/693570. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 15134/693633. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^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. ------ 15135/693660. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)(^b.(^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. ------ 15136/693678. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15137/693705. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(z z)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 5. ==[ beta ]==> ((^y.(y y)) b) 6. ==[ alpha ]==> ((^x.(x x)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 15138/693741. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (^z.a))) 3. ==[ beta ]==> ((a (^y.a))(c (^z.a))) 4. ==[ alpha ]==> ((a (^x.a))(c (^y.a))) REDUCED to normal form. ------ 15139/693768. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 15140/693795. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 15141/694056. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a) b)) 5. ==[ beta ]==> (a ((^z.a) b)) 6. ==[ alpha ]==> (a ((^x.a) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 15142/694092. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (^b.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. ------ 15143/694119. ------ 1. ==[ start ]==> ((((a a) a) a)(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(a (^x.(x x)))) REDUCED to normal form. ------ 15144/694137. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 15145/694164. ------ 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 (^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. ------ 15146/694173. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 15147/694200. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 15148/694218. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) a) a)) 3. ==[ beta ]==> ((((^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. ------ 15149/694227. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 15150/694254. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^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. ------ 15151/694281. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.a)) REDUCED to normal form. ------ 15152/694299. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a) a)) 2. ==[ alpha ]==> ((a (^x.b))((^y.a) a)) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 15153/694317. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(a a))) REDUCED to normal form. ------ 15154/694344. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(a (^z.z)))) REDUCED to normal form. ------ 15155/694398. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b b)) 3. ==[ beta ]==> (((a (a a)) a)(b b)) REDUCED to normal form. ------ 15156/694452. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b (a a))) REDUCED to normal form. ------ 15157/694470. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 15158/694479. ------ 1. ==[ start ]==> ((a (a b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))(a (a (^x.x)))) REDUCED to normal form. ------ 15159/694488. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15160/694569. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a) a)) IRREDUCIBLE: cycle. ------ 15161/694761. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((^z.(^x1.z))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.x))(^z.z)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15162/694950. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.b))) 3. ==[ eta ]==> ((^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. ------ 15163/695571. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.((^a.a)(^a.a)))) 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. ------ 15164/696336. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.((^a.a) a))) 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. ------ 15165/696516. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 4. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15166/696696. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.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. ------ 15167/696723. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 15168/696804. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((^z.z)(^x1.b))(^y.y)) 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. ------ 15169/696807. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 15170/696816. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(a 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. ------ 15171/696921. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^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 ]==> (^x.(a (a (a a)))) REDUCED to normal form. ------ 15172/696993. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (^z.b))) 3. ==[ eta ]==> ((^y.y)(a (^z.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 15173/696996. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.b))) 3. ==[ beta ]==> ((a a)(^y.(^z.b))) 4. ==[ alpha ]==> ((a a)(^x.(^y.b))) REDUCED to normal form. ------ 15174/697263. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> (((^x.a)(^y.(y y)))(((^z.a)(^x1.(x1 x1)))((^y1.a)(^z1.(z1 z1))))) 5. ==[ beta ]==> (a (((^z.a)(^x1.(x1 x1)))((^y1.a)(^z1.(z1 z1))))) 6. ==[ alpha ]==> (a (((^x.a)(^y.(y y)))((^z.a)(^x1.(x1 x1))))) 7. ==[ beta ]==> (a (a ((^z.a)(^x1.(x1 x1))))) 8. ==[ alpha ]==> (a (a ((^x.a)(^y.(y y))))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 15175/697614. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 15176/697617. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.((^a.a)(^a.a)))) 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))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 15177/697761. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.((^a.a)(^a.a)))) 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 ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15178/697995. ------ 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. ------ 15179/698046. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1))))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1))))((^x2.a)(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((a ((^x1.a)(^y1.(^z1.z1))))((^x2.a)(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a a)((^x1.a)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 15180/698379. ------ 1. ==[ start ]==> ((^a.(^a.b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(a ((^z.z) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 15181/698382. ------ 1. ==[ start ]==> ((a (^a.b))(^a.((^a.a) a))) 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. ------ 15182/698454. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(^z.y))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.y))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.x))) REDUCED to normal form. ------ 15183/698508. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 15184/698553. ------ 1. ==[ start ]==> (((^a.b) a)(^c.b)) 2. ==[ alpha ]==> (((^x.b) a)(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 15185/698559. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) b) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15186/698562. ------ 1. ==[ start ]==> ((a (a b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 15187/698571. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(y (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15188/698652. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.b)) IRREDUCIBLE: cycle. ------ 15189/698745. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 15190/698772. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 15191/698853. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 15192/698862. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 15193/698871. ------ 1. ==[ start ]==> (((a a) b)((^a.b) a)) 2. ==[ alpha ]==> (((a a) b)((^x.b) a)) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 15194/698889. ------ 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)(((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. ------ 15195/698916. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^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. ------ 15196/698925. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 15197/698943. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a (a 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. ------ 15198/698970. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.a))(a (a (a a)))) REDUCED to normal form. ------ 15199/699015. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.a))) REDUCED to normal form. ------ 15200/699042. ------ 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. ------ 15201/699087. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a))(^a.(^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. ------ 15202/699114. ------ 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. ------ 15203/699141. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.a))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 15204/699168. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 15205/699258. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 15206/699285. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^y.a))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 15207/699312. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 15208/699348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 15209/699384. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.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)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 15210/699402. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))(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. ------ 15211/699411. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 15212/699429. ------ 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. ------ 15213/699456. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) a)((^y1.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. ------ 15214/699510. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a 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. ------ 15215/699555. ------ 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. ------ 15216/699582. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 15217/699609. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 15218/699627. ------ 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 b)((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 15219/699636. ------ 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. ------ 15220/699663. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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 (^x.x))((^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. ------ 15221/699807. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 15222/699816. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 15223/699834. ------ 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. ------ 15224/699843. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b b)) REDUCED to normal form. ------ 15225/699870. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a) c)) 3. ==[ beta ]==> ((a (^y.a))((^z.a) c)) 4. ==[ alpha ]==> ((a (^x.a))((^y.a) c)) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 15226/699888. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 15227/699960. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 15228/699987. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 15229/700014. ------ 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 a)((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 15230/700041. ------ 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. ------ 15231/700068. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.y))) 7. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 15232/700095. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 15233/700131. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 15234/700185. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(a a))) 5. ==[ beta ]==> (a (((^z.z) a)(a a))) 6. ==[ alpha ]==> (a (((^x.x) a)(a a))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 15235/700221. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^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. ------ 15236/700302. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 15237/700329. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)(^z.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.a))) REDUCED to normal form. ------ 15238/700356. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) 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. ------ 15239/700383. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1)) b)) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15240/700428. ------ 1. ==[ start ]==> ((a (^a.b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))(a ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 15241/700473. ------ 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))(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 15242/700500. ------ 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. ------ 15243/700527. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))(a a))) 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. ------ 15244/700554. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)(a (^y1.y1)))) 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. ------ 15245/700581. ------ 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))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 15246/700599. ------ 1. ==[ start ]==> (((^a.b) a)((a a) b)) 2. ==[ alpha ]==> (((^x.b) a)((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 15247/700608. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 15248/700617. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (a (^a.a)))) 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. ------ 15249/700698. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a b)) IRREDUCIBLE: cycle. ------ 15250/700760. ------ 1. ==[ start ]==> (^a.(((a a) a) b)) 2. ==[ alpha ]==> (^x.(((x x) x) b)) REDUCED to normal form. ------ 15251/700761. ------ 1. ==[ start ]==> (a (((a a) a) b)) REDUCED to normal form. ------ 15252/701259. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 15253/701583. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15254/702474. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 15255/702654. ------ 1. ==[ start ]==> ((^a.(a b))(^c.b)) 2. ==[ alpha ]==> ((^x.(x b))(^y.b)) 3. ==[ beta ]==> ((^y.b) b) 4. ==[ alpha ]==> ((^x.b) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15256/702810. ------ 1. ==[ start ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 15257/702816. ------ 1. ==[ start ]==> ((^a.a)(((a a) a) b)) 2. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 15258/702906. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15259/702963. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 15260/702972. ------ 1. ==[ start ]==> (((a a) b)(^a.(a b))) 2. ==[ alpha ]==> (((a a) b)(^x.(x b))) REDUCED to normal form. ------ 15261/703152. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.b))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 15262/703311. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 15263/703314. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((a a) a))) REDUCED to normal form. ------ 15264/703485. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((y y) y))) 3. ==[ beta ]==> ((a b)(^y.((y y) y))) 4. ==[ alpha ]==> ((a b)(^x.((x x) x))) REDUCED to normal form. ------ 15265/703635. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15266/703638. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 15267/703761. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15268/703773. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.((^a.a)(^a.a)))) 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. ------ 15269/703908. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 15270/703917. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 15271/704193. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a) b)) 3. ==[ beta ]==> (((((^y.y) a) b)(((^y.y) a) b))(((^y.y) a) b)) 4. ==[ alpha ]==> (((((^x.x) a) b)(((^y.y) a) b))(((^z.z) a) b)) 5. ==[ beta ]==> (((a b)(((^y.y) a) b))(((^z.z) a) b)) 6. ==[ alpha ]==> (((a b)(((^x.x) a) b))(((^y.y) a) b)) 7. ==[ beta ]==> (((a b)(a b))(((^y.y) a) b)) 8. ==[ alpha ]==> (((a b)(a b))(((^x.x) a) b)) 9. ==[ beta ]==> (((a b)(a b))(a b)) REDUCED to normal form. ------ 15272/704367. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 15273/704448. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z) a))) 7. ==[ beta ]==> ((a a)(^y.((^z.z) a))) 8. ==[ alpha ]==> ((a a)(^x.((^y.y) a))) 9. ==[ beta ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 15274/704526. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 15275/704529. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 15276/704601. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.c)) 3. ==[ beta ]==> ((a (a (a a)))(^y.c)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.c)) REDUCED to normal form. ------ 15277/704706. ------ 1. ==[ start ]==> ((^a.(a b))((a a) b)) 2. ==[ alpha ]==> ((^x.(x b))((a a) b)) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 15278/704709. ------ 1. ==[ start ]==> ((a (a b))(^c.b)) 2. ==[ alpha ]==> ((a (a b))(^x.b)) REDUCED to normal form. ------ 15279/704718. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15280/704799. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(a a))) IRREDUCIBLE: cycle. ------ 15281/704862. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.a)) 2. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 15282/704874. ------ 1. ==[ start ]==> ((a a)(((a a) a) b)) REDUCED to normal form. ------ 15283/704910. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 15284/704937. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 15285/704964. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 15286/704973. ------ 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. ------ 15287/705000. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 15288/705018. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15289/705027. ------ 1. ==[ start ]==> (((a a) b)(a (a b))) REDUCED to normal form. ------ 15290/705054. ------ 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. ------ 15291/705081. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^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. ------ 15292/705108. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a (a a)) a)) REDUCED to normal form. ------ 15293/705162. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 15294/705207. ------ 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 REDUCED to normal form. ------ 15295/705288. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (a ((^y.(y y))((^z.z) a))) 6. ==[ alpha ]==> (a ((^x.(x x))((^y.y) a))) 7. ==[ beta ]==> (a (((^y.y) a)((^y.y) a))) 8. ==[ alpha ]==> (a (((^x.x) a)((^y.y) a))) 9. ==[ beta ]==> (a (a ((^y.y) a))) 10. ==[ alpha ]==> (a (a ((^x.x) a))) 11. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 15296/705315. ------ 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))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 15297/705369. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a) a)) REDUCED to normal form. ------ 15298/705387. ------ 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. ------ 15299/705414. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^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. ------ 15300/705477. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (((^y.a)(^z.(z z)))((^y.a)(^z.(z z)))) 6. ==[ alpha ]==> (((^x.a)(^y.(y y)))((^z.a)(^x1.(x1 x1)))) 7. ==[ beta ]==> (a ((^z.a)(^x1.(x1 x1)))) 8. ==[ alpha ]==> (a ((^x.a)(^y.(y y)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 15301/705504. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^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. ------ 15302/705540. ------ 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. ------ 15303/705567. ------ 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)((^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. ------ 15304/705594. ------ 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. ------ 15305/705621. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 15306/705648. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 15307/705666. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 15308/705675. ------ 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))(^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 15309/705693. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 15310/705711. ------ 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. ------ 15311/705738. ------ 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. ------ 15312/705765. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (^z.a))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 15313/705783. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c d)) 2. ==[ alpha ]==> (((^x.(x x)) b)(c d)) 3. ==[ beta ]==> ((b b)(c d)) REDUCED to normal form. ------ 15314/705792. ------ 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. ------ 15315/705819. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 15316/705828. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15317/705855. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))(^a.a))) 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. ------ 15318/705909. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 7. ==[ beta ]==> ((^y.a)(^z.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 15319/705918. ------ 1. ==[ start ]==> (((a (a a)) b)(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(c ((^x.x) a))) 3. ==[ beta ]==> (((a (a a)) b)(c a)) REDUCED to normal form. ------ 15320/705945. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b (a (a a)))) 3. ==[ beta ]==> (((^y.y) a)(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)(b (a (a a)))) 5. ==[ beta ]==> (a (b (a (a a)))) REDUCED to normal form. ------ 15321/705963. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a)(^b.(^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. ------ 15322/705972. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 15323/705999. ------ 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. ------ 15324/706026. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.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. ------ 15325/706053. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 15326/706080. ------ 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. ------ 15327/706116. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 15328/706143. ------ 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)(^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. ------ 15329/706170. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.a))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 15330/706197. ------ 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. ------ 15331/706224. ------ 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. ------ 15332/706251. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a) b)) 3. ==[ beta ]==> ((a ((a a) a))(a b)) REDUCED to normal form. ------ 15333/706287. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15334/706377. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b ((a (^y.y))(a (^z.z)))) 6. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 15335/706404. ------ 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. ------ 15336/706422. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(a (^y.(y y)))) 3. ==[ beta ]==> (((a a) a)(a (^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)(a (^x.(x x)))) REDUCED to normal form. ------ 15337/706449. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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 REDUCED to normal form. ------ 15338/706458. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c b)) REDUCED to normal form. ------ 15339/706485. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b c)) 3. ==[ beta ]==> ((a (^y.(y y)))(b c)) 4. ==[ alpha ]==> ((a (^x.(x x)))(b c)) REDUCED to normal form. ------ 15340/706503. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 15341/706566. ------ 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. ------ 15342/706584. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (^x.b))(^z.a)) 4. ==[ alpha ]==> ((a (^x.b))(^y.a)) REDUCED to normal form. ------ 15343/706602. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a) a)) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a) a)) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 15344/706629. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 15345/706683. ------ 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. ------ 15346/706710. ------ 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)))) REDUCED to normal form. ------ 15347/706737. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 15348/706755. ------ 1. ==[ start ]==> (((^a.b) a)(b (a a))) 2. ==[ alpha ]==> (((^x.b) a)(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 15349/706764. ------ 1. ==[ start ]==> ((a (a b))((a a) b)) REDUCED to normal form. ------ 15350/706773. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15351/706854. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(a a))) IRREDUCIBLE: cycle. ------ 15352/706917. ------ 1. ==[ start ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 15353/708639. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.c)) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.z)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 15354/708975. ------ 1. ==[ start ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 15355/708999. ------ 1. ==[ start ]==> ((^a.(^a.a))(((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. ------ 15356/709125. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b ((a a) a))) 3. ==[ beta ]==> ((b ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((b ((a a) a))(^x.x)) REDUCED to normal form. ------ 15357/709146. ------ 1. ==[ start ]==> (((a a) b)(^b.(^a.b))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.x))) REDUCED to normal form. ------ 15358/709314. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)((a a) a))) 3. ==[ eta ]==> ((^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. ------ 15359/709659. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.a))) 3. ==[ beta ]==> ((a b)(^y.(^z.a))) 4. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 15360/709947. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15361/710091. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 15362/710631. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^y.a)) REDUCED to normal form. ------ 15363/710700. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((a a) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 15364/710703. ------ 1. ==[ start ]==> ((a (^a.b))(^c.c)) 2. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 15365/710721. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.((^a.a) a))) 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. ------ 15366/710880. ------ 1. ==[ start ]==> ((^a.(a b))(b (a a))) 2. ==[ alpha ]==> ((^x.(x b))(b (a a))) 3. ==[ beta ]==> ((b (a a)) b) REDUCED to normal form. ------ 15367/710892. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.b)) 3. ==[ beta ]==> ((^y.b)(^z.b)) 4. ==[ alpha ]==> ((^x.b)(^y.b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15368/711036. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 15369/711066. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a) b)) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a) b)) REDUCED to normal form. ------ 15370/711102. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 15371/711129. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 15372/711156. ------ 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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 15373/711192. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b ((a a) a))) REDUCED to normal form. ------ 15374/711210. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(^y.b))) 3. ==[ beta ]==> (((a a) b)(^y.b)) 4. ==[ alpha ]==> (((a a) b)(^x.b)) REDUCED to normal form. ------ 15375/711228. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 15376/711282. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15377/711327. ------ 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. ------ 15378/711345. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 15379/711354. ------ 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. ------ 15380/711381. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a)((a a) a))) 3. ==[ beta ]==> ((a a)((a a)((a a) a))) REDUCED to normal form. ------ 15381/711417. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 15382/711426. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(a a))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 15383/711453. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 15384/711471. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.a))) 5. ==[ beta ]==> (a ((a (a a))(^y.a))) 6. ==[ alpha ]==> (a ((a (a a))(^x.a))) REDUCED to normal form. ------ 15385/711480. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.a))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.a))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 15386/711498. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) a)(^y1.(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. ------ 15387/711507. ------ 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)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 15388/711534. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 15389/711642. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((a a)((^y.a)(^y.a))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 15390/711723. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 15391/711768. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^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))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 15392/711858. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 15393/711966. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 15394/712011. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15395/712038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 15396/712101. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 15397/712128. ------ 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)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 15398/712155. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 15399/712173. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 15400/712227. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a) c)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a) c)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 15401/712263. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 15402/712470. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1)) 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. ------ 15403/712524. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z)) a)) 5. ==[ beta ]==> (a ((^z.(z z)) a)) 6. ==[ alpha ]==> (a ((^x.(x x)) a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 15404/712560. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (^a.(^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. ------ 15405/712587. ------ 1. ==[ start ]==> ((((a a) a) a)(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)(b (^x.a))) REDUCED to normal form. ------ 15406/712632. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^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. ------ 15407/712641. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 15408/712668. ------ 1. ==[ start ]==> ((((^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.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 15409/712686. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a a)(^z.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a a)(^z.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(^z.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a a)(^z.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.a))) 7. ==[ beta ]==> ((a a)((a a)(^y.a))) 8. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 15410/712695. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z) a)) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y) a)) 5. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 15411/712722. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15412/712749. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 15413/712767. ------ 1. ==[ start ]==> ((a (^a.b))((a a) c)) 2. ==[ alpha ]==> ((a (^x.b))((a a) c)) REDUCED to normal form. ------ 15414/712785. ------ 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. ------ 15415/712812. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(a a))) REDUCED to normal form. ------ 15416/712839. ------ 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. ------ 15417/712893. ------ 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)) REDUCED to normal form. ------ 15418/712938. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 15419/712947. ------ 1. ==[ start ]==> ((a (a b))(b (a a))) REDUCED to normal form. ------ 15420/712956. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a) b)) 3. ==[ beta ]==> ((^y.b)((a a) b)) 4. ==[ alpha ]==> ((^x.b)((a a) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15421/713037. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.z))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.z))) IRREDUCIBLE: cycle. ------ 15422/713100. ------ 1. ==[ start ]==> ((((a a) a) b)(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)(a (^x.x))) REDUCED to normal form. ------ 15423/713117. ------ 1. ==[ start ]==> (^a.((^a.b)(^a.a))) 2. ==[ alpha ]==> (^x.((^y.b)(^z.z))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 15424/713118. ------ 1. ==[ start ]==> (a ((^a.b)(^a.a))) 2. ==[ alpha ]==> (a ((^x.b)(^y.y))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 15425/713940. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.((^a.a)(^a.a)))) 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. ------ 15426/715167. ------ 1. ==[ start ]==> ((((a a) a) b) c) REDUCED to normal form. ------ 15427/715185. ------ 1. ==[ start ]==> (((^a.b)(^a.a)) a) 2. ==[ alpha ]==> (((^x.b)(^y.y)) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 15428/715191. ------ 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)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15429/715245. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 15430/715365. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^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. ------ 15431/715443. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (^y.((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (^x.((a (a a))((^y.y) a))) 5. ==[ beta ]==> (^x.((a (a a)) a)) REDUCED to normal form. ------ 15432/715515. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (^z.a))) 3. ==[ eta ]==> ((^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. ------ 15433/715527. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((a a) a))) 3. ==[ beta ]==> ((^y.a)(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.a)(^y.((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 15434/715707. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((a a) a))) 3. ==[ beta ]==> (((a a) a)(^y.((a a) a))) 4. ==[ alpha ]==> (((a a) a)(^x.((a a) a))) REDUCED to normal form. ------ 15435/715785. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.(z z))(^x1.a))((^y1.(y1 y1))(^z1.a)))) 5. ==[ beta ]==> (((^y.a)(^y.a))(((^z.(z z))(^x1.a))((^y1.(y1 y1))(^z1.a)))) 6. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.(z z))(^x1.a))((^y1.(y1 y1))(^z1.a)))) 7. ==[ beta ]==> (a (((^z.(z z))(^x1.a))((^y1.(y1 y1))(^z1.a)))) 8. ==[ alpha ]==> (a (((^x.(x x))(^y.a))((^z.(z z))(^x1.a)))) 9. ==[ beta ]==> (a (((^y.a)(^y.a))((^z.(z z))(^x1.a)))) 10. ==[ alpha ]==> (a (((^x.a)(^y.a))((^z.(z z))(^x1.a)))) 11. ==[ beta ]==> (a (a ((^z.(z z))(^x1.a)))) 12. ==[ alpha ]==> (a (a ((^x.(x x))(^y.a)))) 13. ==[ beta ]==> (a (a ((^y.a)(^y.a)))) 14. ==[ alpha ]==> (a (a ((^x.a)(^y.a)))) 15. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 15436/715878. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.((z z) z))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.((z z) z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z) z))) 5. ==[ beta ]==> ((^y.y)(^z.((z z) z))) 6. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 7. ==[ beta ]==> (^y.((y y) y)) 8. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 15437/716010. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15438/716013. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 15439/716136. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15440/716310. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15441/716436. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 15442/716544. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(a (a a)))) 5. ==[ beta ]==> ((a a)(^y.(a (a a)))) 6. ==[ alpha ]==> ((a a)(^x.(a (a a)))) REDUCED to normal form. ------ 15443/716568. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((((^y.(y y))(^z.z))((^y.(y y))(^z.z)))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((((^x.(x x))(^y.y))((^z.(z z))(^x1.x1)))((^y1.(y1 y1))(^z1.z1))) 5. ==[ beta ]==> ((((^y.y)(^y.y))((^z.(z z))(^x1.x1)))((^y1.(y1 y1))(^z1.z1))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.(z z))(^x1.x1)))((^y1.(y1 y1))(^z1.z1))) 7. ==[ beta ]==> (((^y.y)((^z.(z z))(^x1.x1)))((^y1.(y1 y1))(^z1.z1))) 8. ==[ alpha ]==> (((^x.x)((^y.(y y))(^z.z)))((^x1.(x1 x1))(^y1.y1))) 9. ==[ beta ]==> (((^y.(y y))(^z.z))((^x1.(x1 x1))(^y1.y1))) 10. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.x1))) 11. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.x1))) 12. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 13. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 14. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 15. ==[ beta ]==> ((^y.(y y))(^z.z)) 16. ==[ alpha ]==> ((^x.(x x))(^y.y)) 17. ==[ beta ]==> ((^y.y)(^y.y)) 18. ==[ alpha ]==> ((^x.x)(^y.y)) 19. ==[ beta ]==> (^y.y) 20. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15444/716661. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(z (z z)))) 5. ==[ beta ]==> (a (^z.(z (z z)))) 6. ==[ alpha ]==> (a (^x.(x (x x)))) REDUCED to normal form. ------ 15445/716832. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 15446/716901. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (a (^z.z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 15447/716922. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.a))) REDUCED to normal form. ------ 15448/717003. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(^z.y))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.y))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.x))) REDUCED to normal form. ------ 15449/717057. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 15450/717081. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.x1)) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.z)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 15451/717237. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.a)) 2. ==[ alpha ]==> ((((a a) a) b)(^x.a)) REDUCED to normal form. ------ 15452/717255. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 15453/717267. ------ 1. ==[ start ]==> ((a a)((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a a)((^x.b)(^y.y))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 15454/717285. ------ 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. ------ 15455/717321. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 15456/717375. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 15457/717411. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15458/717438. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(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. ------ 15459/717447. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b) a)) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 15460/717465. ------ 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. ------ 15461/717492. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 15462/717501. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^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. ------ 15463/717519. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a (^x.a))((a (a a)) a)) REDUCED to normal form. ------ 15464/717591. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.a))) 3. ==[ beta ]==> ((a a)(b (^y.a))) 4. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 15465/717600. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.a)((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.a)((a a)((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 15466/717636. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)(^y.y))) REDUCED to normal form. ------ 15467/717663. ------ 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)))) 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. ------ 15468/717690. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 15469/717717. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 15470/717744. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))(^b.(^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. ------ 15471/717780. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 15472/717834. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a))(^a.(^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. ------ 15473/717861. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)(^y.a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 15474/717897. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 15475/717951. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(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. ------ 15476/717978. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 15477/717987. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 15478/718005. ------ 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. ------ 15479/718014. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(c c)) REDUCED to normal form. ------ 15480/718059. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 15481/718086. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 15482/718131. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 15483/718158. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a (^x.x)))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 15484/718176. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 15485/718185. ------ 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. ------ 15486/718212. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 15487/718311. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a) c)) 3. ==[ beta ]==> (((a (a a)) b)(a c)) REDUCED to normal form. ------ 15488/718356. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (a (a a)))) 5. ==[ beta ]==> ((^y.y)(b (a (a a)))) 6. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 15489/718383. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 15490/718392. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 15491/718419. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z)) b)) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z)) b)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y)) b)) 5. ==[ beta ]==> ((a (^x.a))(b b)) REDUCED to normal form. ------ 15492/718437. ------ 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 (^y.y))(a (^y.y)))(((^z.z) a)(a (^x1.x1)))) 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. ------ 15493/718446. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 15494/718509. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 15495/718536. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 15496/718563. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.a)(a (^y.y)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 15497/718590. ------ 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. ------ 15498/718617. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)(a (a a)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 15499/718644. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)(^y.y))) 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. ------ 15500/718680. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c (a (^y.y)))) 5. ==[ beta ]==> (c (a (^y.y))) 6. ==[ alpha ]==> (c (a (^x.x))) REDUCED to normal form. ------ 15501/718734. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (a (a a)))) 5. ==[ beta ]==> (a (a (a (a a)))) REDUCED to normal form. ------ 15502/718770. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.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. ------ 15503/718815. ------ 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. ------ 15504/718851. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) 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. ------ 15505/718878. ------ 1. ==[ start ]==> ((((^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.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 15506/718896. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b c)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b c)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b c)) 5. ==[ beta ]==> ((a ((^y.y) a))(b c)) 6. ==[ alpha ]==> ((a ((^x.x) a))(b c)) 7. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 15507/718905. ------ 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. ------ 15508/718932. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a) a)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15509/718959. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 15510/718977. ------ 1. ==[ start ]==> ((a (^a.b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(b (a (^y.y)))) REDUCED to normal form. ------ 15511/718995. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.a)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.a)) REDUCED to normal form. ------ 15512/719049. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 15513/719076. ------ 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. ------ 15514/719103. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 15515/719130. ------ 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. ------ 15516/719148. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y)) a)) 3. ==[ beta ]==> (b ((a (^y.y)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 15517/719157. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 15518/719166. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b (a a))) 3. ==[ beta ]==> ((^y.b)(b (a a))) 4. ==[ alpha ]==> ((^x.b)(b (a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15519/719247. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b a)) IRREDUCIBLE: cycle. ------ 15520/719310. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x) a)) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 15521/719328. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 15522/719336. ------ 1. ==[ start ]==> (^a.((a b) a)) 2. ==[ alpha ]==> (^x.((x b) x)) REDUCED to normal form. ------ 15523/719337. ------ 1. ==[ start ]==> (a ((a b) a)) REDUCED to normal form. ------ 15524/721404. ------ 1. ==[ start ]==> (((^a.b)(^a.a)) b) 2. ==[ alpha ]==> (((^x.b)(^y.y)) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 15525/721413. ------ 1. ==[ start ]==> (((a b) a) a) REDUCED to normal form. ------ 15526/721419. ------ 1. ==[ start ]==> ((^a.a)((a b) a)) 2. ==[ alpha ]==> ((^x.x)((a b) a)) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 15527/721428. ------ 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. ------ 15528/721446. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a) b)) 3. ==[ beta ]==> ((((a a) a) b)(((a a) a) b)) REDUCED to normal form. ------ 15529/721473. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 15530/721509. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15531/721593. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^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. ------ 15532/721602. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y b))) REDUCED to normal form. ------ 15533/721782. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 15534/721914. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 15535/722106. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 7. ==[ beta ]==> (^y.(^z.a)) 8. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 15536/722115. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.((x x) x))) REDUCED to normal form. ------ 15537/722238. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15538/722364. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15539/722403. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.((^a.a)(^a.a)))) 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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15540/722538. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 15541/722547. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 15542/722796. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.((x x) x))((a (a a)) a)) 3. ==[ beta ]==> ((((a (a a)) a)((a (a a)) a))((a (a a)) a)) REDUCED to normal form. ------ 15543/722889. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (a (^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(y y)))) REDUCED to normal form. ------ 15544/722997. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 15545/723129. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 15546/723231. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.c)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.c)) 3. ==[ beta ]==> (((a (a a)) a)(^y.c)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.c)) REDUCED to normal form. ------ 15547/723303. ------ 1. ==[ start ]==> (((^a.b) a)(^a.c)) 2. ==[ alpha ]==> (((^x.b) a)(^y.c)) 3. ==[ beta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 15548/723309. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y)) a)) 3. ==[ beta ]==> (((a (^y.y)) a) b) 4. ==[ alpha ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 15549/723402. ------ 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))(^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 15550/723465. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(x x))) REDUCED to normal form. ------ 15551/723483. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(^a.a))) 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. ------ 15552/723492. ------ 1. ==[ start ]==> (((a b) a)(^a.a)) 2. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 15553/723504. ------ 1. ==[ start ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 15554/723513. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 15555/723531. ------ 1. ==[ start ]==> ((a (a a))(((a a) a) b)) REDUCED to normal form. ------ 15556/723558. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> ((a b)((^y.y) c)) 4. ==[ alpha ]==> ((a b)((^x.x) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 15557/723567. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 15558/723594. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 15559/723657. ------ 1. ==[ start ]==> (((a a) b)(b ((a a) a))) REDUCED to normal form. ------ 15560/723675. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 15561/723684. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (a b))) REDUCED to normal form. ------ 15562/723711. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 15563/723738. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 15564/723792. ------ 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)(((^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. ------ 15565/723837. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.a))) 3. ==[ beta ]==> ((^y.a)(b (^z.a))) 4. ==[ alpha ]==> ((^x.a)(b (^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 15566/723864. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 15567/723918. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 15568/723945. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 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. ------ 15569/723999. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 15570/724044. ------ 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. ------ 15571/724071. ------ 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. ------ 15572/724107. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.a))) 5. ==[ beta ]==> (((^y.(y y))(^z.a))((^y.(y y))(^z.a))) 6. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(^x1.a))) 7. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(^x1.a))) 8. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(^x1.a))) 9. ==[ beta ]==> (a ((^z.(z z))(^x1.a))) 10. ==[ alpha ]==> (a ((^x.(x x))(^y.a))) 11. ==[ beta ]==> (a ((^y.a)(^y.a))) 12. ==[ alpha ]==> (a ((^x.a)(^y.a))) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 15573/724134. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 15574/724170. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a b)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a b)(b (^y.y))) 6. ==[ alpha ]==> ((a b)(b (^x.x))) REDUCED to normal form. ------ 15575/724197. ------ 1. ==[ start ]==> (((a (a a)) a)(a ((a a) a))) REDUCED to normal form. ------ 15576/724224. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 15577/724251. ------ 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. ------ 15578/724278. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((^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. ------ 15579/724305. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 15580/724323. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 15581/724368. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 8. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 15582/724395. ------ 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. ------ 15583/724422. ------ 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. ------ 15584/724449. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 15585/724458. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15586/724485. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1)((^y1.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. ------ 15587/724539. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(a a))(^a.(^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. ------ 15588/724593. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 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. ------ 15589/724602. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 15590/724620. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)(^b.(^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. ------ 15591/724629. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a ((^z.z)(^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. ------ 15592/724656. ------ 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. ------ 15593/724683. ------ 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. ------ 15594/724710. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((^y1.y1) 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 (^x.x)) a) REDUCED to normal form. ------ 15595/724773. ------ 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. ------ 15596/724800. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 15597/724827. ------ 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. ------ 15598/724854. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 15599/724881. ------ 1. ==[ start ]==> ((a ((a a) a))((a (a a)) a)) REDUCED to normal form. ------ 15600/724917. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 15601/724971. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (a ((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 15602/725007. ------ 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. ------ 15603/725034. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 15604/725052. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.a))) 3. ==[ beta ]==> (((a a) a)(b (^y.a))) 4. ==[ alpha ]==> (((a a) a)(b (^x.a))) REDUCED to normal form. ------ 15605/725079. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 15606/725133. ------ 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))(a (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(a (^y1.y1)))) 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)))) 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. ------ 15607/725142. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b c)) REDUCED to normal form. ------ 15608/725214. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 15609/725259. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 15610/725286. ------ 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)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 15611/725340. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))(^y1.y1))) 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))) REDUCED to normal form. ------ 15612/725367. ------ 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. ------ 15613/725385. ------ 1. ==[ start ]==> (((^a.b) a)(a c)) 2. ==[ alpha ]==> (((^x.b) a)(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 15614/725394. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (a b))((a (^x.x)) a)) REDUCED to normal form. ------ 15615/725403. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15616/725484. ------ 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))(^y.(y y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.(^x1.x1)))) IRREDUCIBLE: cycle. ------ 15617/725547. ------ 1. ==[ start ]==> ((((a a) a) b)(a (a a))) REDUCED to normal form. ------ 15618/725565. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (^z.z))) 3. ==[ beta ]==> (b (a (^z.z))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 15619/725574. ------ 1. ==[ start ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 15620/727476. ------ 1. ==[ start ]==> ((^a.(a b))(^a.c)) 2. ==[ alpha ]==> ((^x.(x b))(^y.c)) 3. ==[ beta ]==> ((^y.c) b) 4. ==[ alpha ]==> ((^x.c) b) 5. ==[ beta ]==> c REDUCED to normal form. ------ 15621/727650. ------ 1. ==[ start ]==> (((^a.b)(^a.a)) c) 2. ==[ alpha ]==> (((^x.b)(^y.y)) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 15622/727659. ------ 1. ==[ start ]==> (((a b) a) b) REDUCED to normal form. ------ 15623/727683. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((a b) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15624/727857. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.y))) REDUCED to normal form. ------ 15625/727926. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (^y.((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (^x.((^y.(^z.z)) c)) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15626/727998. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 15627/728046. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.b))) REDUCED to normal form. ------ 15628/728169. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 15629/728370. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.a))) REDUCED to normal form. ------ 15630/728802. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 15631/729144. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.d)) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.d)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.d)) 5. ==[ beta ]==> (a (^z.d)) 6. ==[ alpha ]==> (a (^x.d)) REDUCED to normal form. ------ 15632/729261. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 15633/729342. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15634/729384. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z)) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 15635/729432. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.((^a.a) a))) 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. ------ 15636/729558. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(a (^z.z)))) 3. ==[ beta ]==> (b (^y.(a (^z.z)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 15637/729564. ------ 1. ==[ start ]==> ((^a.(a b))(a c)) 2. ==[ alpha ]==> ((^x.(x b))(a c)) 3. ==[ beta ]==> ((a c) b) REDUCED to normal form. ------ 15638/729567. ------ 1. ==[ start ]==> ((a (a b))(^a.c)) 2. ==[ alpha ]==> ((a (a b))(^x.c)) REDUCED to normal form. ------ 15639/729657. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.z)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.z)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.z)) IRREDUCIBLE: cycle. ------ 15640/729720. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 15641/729738. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 15642/729747. ------ 1. ==[ start ]==> (((a b) a)(^a.(^a.a))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 15643/729761. ------ 1. ==[ start ]==> (^a.(^b.(a b))) 2. ==[ alpha ]==> (^x.(^y.(x y))) 3. ==[ eta ]==> (^x.x) REDUCED to normal form. ------ 15644/729762. ------ 1. ==[ start ]==> (a (^b.(a b))) 2. ==[ alpha ]==> (a (^x.(a x))) 3. ==[ eta ]==> (a a) REDUCED to normal form. ------ 15645/729777. ------ 1. ==[ start ]==> ((a (^a.a))((a b) a)) 2. ==[ alpha ]==> ((a (^x.x))((a b) a)) REDUCED to normal form. ------ 15646/729786. ------ 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))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 15647/729804. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((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. ------ 15648/729840. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 15649/729867. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^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. ------ 15650/729894. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 15651/729921. ------ 1. ==[ start ]==> (((a a) b)((^a.(^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. ------ 15652/729948. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.b)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.b)) REDUCED to normal form. ------ 15653/729966. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.b) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.b) a)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 15654/730020. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 15655/730038. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 15656/730065. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (a (a a)))) REDUCED to normal form. ------ 15657/730092. ------ 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 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. ------ 15658/730137. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.b))) REDUCED to normal form. ------ 15659/730182. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(^y1.y1)))) 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. ------ 15660/730191. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 15661/730209. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 15662/730218. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((^y1.y1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a ((^y1.y1) a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1) a))) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 15663/730245. ------ 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)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 15664/730263. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 15665/730353. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 15666/730434. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^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. ------ 15667/730506. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15668/730605. ------ 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. ------ 15669/730677. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 15670/730722. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15671/730749. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 15672/730803. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a)) b)) 5. ==[ beta ]==> ((^y.y)((a (a a)) b)) 6. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 15673/730812. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(^a.(^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. ------ 15674/730839. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.a))) 5. ==[ beta ]==> (a ((^y.a)(^z.a))) 6. ==[ alpha ]==> (a ((^x.a)(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 15675/730866. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 15676/730893. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(^b.(^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. ------ 15677/730938. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z)) b)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b b)) REDUCED to normal form. ------ 15678/731010. ------ 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. ------ 15679/731181. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 15680/731352. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 15681/731379. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(a a))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 15682/731397. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((a (^y.y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 15683/731406. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 15684/731433. ------ 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)((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15685/731460. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 15686/731478. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y)) b)) REDUCED to normal form. ------ 15687/731496. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(b (a (^x.x)))) REDUCED to normal form. ------ 15688/731523. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(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. ------ 15689/731550. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.y))(a a))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.y))(a a))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(a a))) REDUCED to normal form. ------ 15690/731577. ------ 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. ------ 15691/731631. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b b)) REDUCED to normal form. ------ 15692/731649. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 15693/731658. ------ 1. ==[ start ]==> ((a (a b))(a c)) REDUCED to normal form. ------ 15694/731667. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z)) a)) 3. ==[ beta ]==> ((^y.b)((a (^z.z)) a)) 4. ==[ alpha ]==> ((^x.b)((a (^y.y)) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15695/731748. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a) 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. ------ 15696/731811. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.y))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 15697/731829. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a) 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. ------ 15698/731838. ------ 1. ==[ start ]==> (((a b) a)(a (^a.a))) 2. ==[ alpha ]==> (((a b) a)(a (^x.x))) REDUCED to normal form. ------ 15699/731855. ------ 1. ==[ start ]==> (^a.((^a.a)(a b))) 2. ==[ alpha ]==> (^x.((^y.y)(x b))) 3. ==[ beta ]==> (^x.(x b)) REDUCED to normal form. ------ 15700/731856. ------ 1. ==[ start ]==> (a ((^a.a)(a b))) 2. ==[ alpha ]==> (a ((^x.x)(a b))) 3. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 15701/731859. ------ 1. ==[ start ]==> ((^a.a)(^b.(a b))) 2. ==[ alpha ]==> ((^x.x)(^y.(a y))) 3. ==[ eta ]==> ((^x.x) a) 4. ==[ beta ]==> a REDUCED to normal form. ------ 15702/733236. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(a (a a)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> ((a (a a))(^z.(a (a a)))) 6. ==[ alpha ]==> ((a (a a))(^x.(a (a a)))) REDUCED to normal form. ------ 15703/733749. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(a (^z.z)))) 3. ==[ beta ]==> ((^y.(a (^z.z))) b) 4. ==[ alpha ]==> ((^x.(a (^y.y))) b) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 15704/733932. ------ 1. ==[ start ]==> (((a b) a) c) REDUCED to normal form. ------ 15705/733950. ------ 1. ==[ start ]==> (((^a.a)(a b)) a) 2. ==[ alpha ]==> (((^x.x)(a b)) a) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 15706/733956. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 15707/733959. ------ 1. ==[ start ]==> ((a a)(^b.(a b))) 2. ==[ alpha ]==> ((a a)(^x.(a x))) 3. ==[ eta ]==> ((a a) a) REDUCED to normal form. ------ 15708/733983. ------ 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 ((^z.b)(^x1.x1))) 6. ==[ alpha ]==> (b ((^x.b)(^y.y))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 15709/734010. ------ 1. ==[ start ]==> ((^a.b)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 15710/734091. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^z.a)(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (a (^x1.x1)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 15711/734157. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(z b))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z b))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y b))) REDUCED to normal form. ------ 15712/734208. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^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 ]==> (^x.((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (^x.((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (^x.(a (^z.z))) 8. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 15713/734499. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 15714/734550. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))(^a.(^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. ------ 15715/734670. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((y y) y))) 3. ==[ beta ]==> ((a (a a))(^y.((y y) y))) 4. ==[ alpha ]==> ((a (a a))(^x.((x x) x))) REDUCED to normal form. ------ 15716/734775. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15717/734901. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15718/735228. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 15719/735333. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((^x.x)(a (a a)))((^y.y)(a (a a))))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a (a a))((^y.y)(a (a a))))((^z.z)(a (a a)))) 6. ==[ alpha ]==> (((a (a a))((^x.x)(a (a a))))((^y.y)(a (a a)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a (a a)))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a (a a)))) 9. ==[ beta ]==> (((a (a a))(a (a a)))(a (a a))) REDUCED to normal form. ------ 15720/735336. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(a (a a)))) REDUCED to normal form. ------ 15721/735666. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (a a))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 15722/735714. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.a))) REDUCED to normal form. ------ 15723/735795. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 15724/735840. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 15725/735846. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(a (^z.z)))) 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. ------ 15726/735849. ------ 1. ==[ start ]==> ((a (a b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(a (^y.y)))) REDUCED to normal form. ------ 15727/735858. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.c)) 3. ==[ beta ]==> ((^y.b)(^z.c)) 4. ==[ alpha ]==> ((^x.b)(^y.c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15728/736002. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.a)) 2. ==[ alpha ]==> ((((a a) a) b)(^x.a)) REDUCED to normal form. ------ 15729/736020. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(z z))) 3. ==[ beta ]==> (b (^z.(z z))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 15730/736029. ------ 1. ==[ start ]==> (((a b) a)(^b.a)) 2. ==[ alpha ]==> (((a b) a)(^x.a)) REDUCED to normal form. ------ 15731/736047. ------ 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. ------ 15732/736059. ------ 1. ==[ start ]==> ((a a)((^a.a)(a b))) 2. ==[ alpha ]==> ((a a)((^x.x)(a b))) 3. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 15733/736077. ------ 1. ==[ start ]==> (((^a.a) a)((a b) a)) 2. ==[ alpha ]==> (((^x.x) a)((a b) a)) 3. ==[ beta ]==> (a ((a b) a)) REDUCED to normal form. ------ 15734/736086. ------ 1. ==[ start ]==> ((a (a a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a (a a))((^x.b)(^y.y))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 15735/736104. ------ 1. ==[ start ]==> (((a a) a)(((a a) a) b)) REDUCED to normal form. ------ 15736/736113. ------ 1. ==[ start ]==> ((a b)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 15737/736167. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 15738/736194. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 15739/736230. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 15740/736257. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(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. ------ 15741/736266. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 15742/736284. ------ 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))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 15743/736311. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.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. ------ 15744/736392. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.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 ]==> a REDUCED to normal form. ------ 15745/736419. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^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. ------ 15746/736455. ------ 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. ------ 15747/736482. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))(^a.(^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. ------ 15748/736509. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.a))) REDUCED to normal form. ------ 15749/736536. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 15750/736572. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 15751/736599. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 15752/736644. ------ 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 a)(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 15753/736653. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))(^a.(^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. ------ 15754/736743. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(b ((^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. ------ 15755/736770. ------ 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. ------ 15756/736797. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 15757/736806. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 15758/736851. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(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. ------ 15759/736878. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 15760/736896. ------ 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. ------ 15761/736950. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 15762/736968. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((b b)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 15763/736977. ------ 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. ------ 15764/737004. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 15765/737013. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c d)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 15766/737103. ------ 1. ==[ start ]==> (((a (a a)) b)((a (a a)) b)) REDUCED to normal form. ------ 15767/737175. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 15768/737211. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 15769/737229. ------ 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. ------ 15770/737238. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 15771/737265. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) c)) 5. ==[ beta ]==> ((^y.y)((^z.a) c)) 6. ==[ alpha ]==> ((^x.x)((^y.a) c)) 7. ==[ beta ]==> ((^y.a) c) 8. ==[ alpha ]==> ((^x.a) c) 9. ==[ beta ]==> a REDUCED to normal form. ------ 15772/737301. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 15773/737328. ------ 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. ------ 15774/737355. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a a)((^y.(y y))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a a))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 15775/737382. ------ 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. ------ 15776/737409. ------ 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)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 15777/737436. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))(a (a a))) REDUCED to normal form. ------ 15778/737526. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b ((^z.z) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b ((^z.z) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b ((^z.z) a))) 5. ==[ beta ]==> (a (b ((^z.z) a))) 6. ==[ alpha ]==> (a (b ((^x.x) a))) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 15779/737562. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y)) a)) 5. ==[ beta ]==> (b ((^y.(y y)) a)) 6. ==[ alpha ]==> (b ((^x.(x x)) a)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 15780/737589. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a) b)) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 15781/737607. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 15782/737634. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 15783/737670. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 15784/737697. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 15785/737724. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15786/737751. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) 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. ------ 15787/737769. ------ 1. ==[ start ]==> ((a (^a.b))(c (a a))) 2. ==[ alpha ]==> ((a (^x.b))(c (a a))) REDUCED to normal form. ------ 15788/737787. ------ 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)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 15789/737814. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 15790/737868. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 15791/737895. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (^z.a))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.a))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 15792/737922. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^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. ------ 15793/737940. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 15794/737949. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(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. ------ 15795/737958. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a c)) 3. ==[ beta ]==> ((^y.b)(a c)) 4. ==[ alpha ]==> ((^x.b)(a c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15796/738039. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(a a))) IRREDUCIBLE: cycle. ------ 15797/738102. ------ 1. ==[ start ]==> ((((a a) a) b)((a a) a)) REDUCED to normal form. ------ 15798/738120. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 15799/738129. ------ 1. ==[ start ]==> (((a b) a)((^a.a) a)) 2. ==[ alpha ]==> (((a b) a)((^x.x) a)) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 15800/738147. ------ 1. ==[ start ]==> (((^a.a)(a b))(a a)) 2. ==[ alpha ]==> (((^x.x)(a b))(a a)) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 15801/738155. ------ 1. ==[ start ]==> (^a.((a a)(^a.b))) 2. ==[ alpha ]==> (^x.((x x)(^y.b))) REDUCED to normal form. ------ 15802/738156. ------ 1. ==[ start ]==> (a ((a a)(^a.b))) 2. ==[ alpha ]==> (a ((a a)(^x.b))) REDUCED to normal form. ------ 15803/738168. ------ 1. ==[ start ]==> ((^a.(^a.a))(^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. ------ 15804/740049. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 4. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15805/740250. ------ 1. ==[ start ]==> (((^a.a)(a b)) b) 2. ==[ alpha ]==> (((^x.x)(a b)) b) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 15806/740259. ------ 1. ==[ start ]==> (((a a)(^a.b)) a) 2. ==[ alpha ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 15807/740265. ------ 1. ==[ start ]==> ((^a.a)((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 3. ==[ beta ]==> ((a a)(^y.b)) 4. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 15808/740274. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 15809/740277. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(a b))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(a y))) 3. ==[ eta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 15810/740292. ------ 1. ==[ start ]==> ((^a.(a a))((a b) a)) 2. ==[ alpha ]==> ((^x.(x x))((a b) a)) 3. ==[ beta ]==> (((a b) a)((a b) a)) REDUCED to normal form. ------ 15811/740319. ------ 1. ==[ start ]==> ((^a.b)(((a a) a) b)) 2. ==[ alpha ]==> ((^x.b)(((a a) a) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 15812/740355. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15813/740466. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.(^a.b))) 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. ------ 15814/740475. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z b))) REDUCED to normal form. ------ 15815/740637. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((a a) a))) REDUCED to normal form. ------ 15816/740760. ------ 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. ------ 15817/740859. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((((^z.z)(^x1.x1)) b)(((^y1.y1)(^z1.z1)) b))) 5. ==[ beta ]==> (((^y.y) b)((((^z.z)(^x1.x1)) b)(((^y1.y1)(^z1.z1)) b))) 6. ==[ alpha ]==> (((^x.x) b)((((^y.y)(^z.z)) b)(((^x1.x1)(^y1.y1)) b))) 7. ==[ beta ]==> (b ((((^y.y)(^z.z)) b)(((^x1.x1)(^y1.y1)) b))) 8. ==[ alpha ]==> (b ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1)) b))) 9. ==[ beta ]==> (b (((^y.y) b)(((^z.z)(^x1.x1)) b))) 10. ==[ alpha ]==> (b (((^x.x) b)(((^y.y)(^z.z)) b))) 11. ==[ beta ]==> (b (b (((^y.y)(^z.z)) b))) 12. ==[ alpha ]==> (b (b (((^x.x)(^y.y)) b))) 13. ==[ beta ]==> (b (b ((^y.y) b))) 14. ==[ alpha ]==> (b (b ((^x.x) b))) 15. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 15818/740979. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.a))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.a))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.a))) REDUCED to normal form. ------ 15819/740988. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((y y) y))) REDUCED to normal form. ------ 15820/741084. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15821/741210. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) 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. ------ 15822/741420. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.((^a.a)(^a.a)))) 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))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 15823/741642. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a)(^y.(y y)))((a a)(^y.(y y))))((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((((a a)(^x.(x x)))((a a)(^y.(y y))))((a a)(^z.(z z)))) REDUCED to normal form. ------ 15824/741771. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(y (y y)))) 5. ==[ beta ]==> (b (^y.(y (y y)))) 6. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 15825/741852. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 15826/741975. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 15827/742104. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.c)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.c)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.c)) 5. ==[ beta ]==> ((a (^y.y))(^z.c)) 6. ==[ alpha ]==> ((a (^x.x))(^y.c)) REDUCED to normal form. ------ 15828/742155. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z))) b) 4. ==[ alpha ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 15829/742158. ------ 1. ==[ start ]==> ((a (a b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 15830/742167. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(a (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15831/742311. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.b)) 2. ==[ alpha ]==> ((((a a) a) b)(^x.b)) REDUCED to normal form. ------ 15832/742329. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(^a.a))) 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. ------ 15833/742338. ------ 1. ==[ start ]==> (((a b) a)(^a.(a a))) 2. ==[ alpha ]==> (((a b) a)(^x.(x x))) REDUCED to normal form. ------ 15834/742356. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.z))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 15835/742365. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.a)) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 15836/742377. ------ 1. ==[ start ]==> ((a a)((a a)(^a.b))) 2. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 15837/742386. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(a b))) 3. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 15838/742404. ------ 1. ==[ start ]==> ((a (a a))((a b) a)) REDUCED to normal form. ------ 15839/742413. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 15840/742431. ------ 1. ==[ start ]==> ((a b)(((a a) a) b)) REDUCED to normal form. ------ 15841/742467. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 15842/742521. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15843/742530. ------ 1. ==[ start ]==> (((a a) b)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a) b)(c (^y.y))) 4. ==[ alpha ]==> (((a a) b)(c (^x.x))) REDUCED to normal form. ------ 15844/742557. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b ((a a) a))) REDUCED to normal form. ------ 15845/742575. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a (^x.x))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 15846/742584. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 15847/742611. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(a a))) REDUCED to normal form. ------ 15848/742647. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 15849/742665. ------ 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 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. ------ 15850/742710. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(c (^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 15851/742737. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 15852/742746. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)((a a) a))) REDUCED to normal form. ------ 15853/742818. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^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. ------ 15854/742872. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 15855/742890. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 15856/742944. ------ 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. ------ 15857/742971. ------ 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. ------ 15858/742980. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 7. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15859/743007. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 15860/743043. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (a (a a)))) 3. ==[ beta ]==> ((a b)(c (a (a a)))) REDUCED to normal form. ------ 15861/743061. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))(^b.(^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. ------ 15862/743070. ------ 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. ------ 15863/743097. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((a a) a))) REDUCED to normal form. ------ 15864/743124. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 15865/743151. ------ 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. ------ 15866/743178. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a ((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 15867/743196. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.(z z)))) REDUCED to normal form. ------ 15868/743268. ------ 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))(^y1.y1))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z)(^x1.x1))(^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))) 7. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 8. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 15869/743295. ------ 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. ------ 15870/743322. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.a))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 15871/743331. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 15872/743358. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(a (a 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. ------ 15873/743412. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15874/743466. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.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. ------ 15875/743475. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(c a)) REDUCED to normal form. ------ 15876/743493. ------ 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)((^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. ------ 15877/743502. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (a (a a)))) REDUCED to normal form. ------ 15878/743529. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.a))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.a))(a (^y.y))) REDUCED to normal form. ------ 15879/743556. ------ 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. ------ 15880/743583. ------ 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. ------ 15881/743673. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(^z.z))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(^y.y))) 5. ==[ beta ]==> ((a a)((a (a a))(^y.y))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 15882/743700. ------ 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. ------ 15883/743727. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.a))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 15884/743754. ------ 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. ------ 15885/743790. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 15886/743844. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 15887/743880. ------ 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. ------ 15888/743907. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(a a))) 3. ==[ beta ]==> ((((a a) a) a)(a (a a))) REDUCED to normal form. ------ 15889/743952. ------ 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)(b (^y1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 15890/743961. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 15891/744006. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(a a))) 7. ==[ beta ]==> ((a a)((^y.a)(a a))) 8. ==[ alpha ]==> ((a a)((^x.a)(a a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 15892/744015. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c b)) REDUCED to normal form. ------ 15893/744042. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 15894/744087. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 15895/744105. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x)) b)) REDUCED to normal form. ------ 15896/744159. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a) a)) 3. ==[ beta ]==> ((a (a (a a)))((^y.a) a)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a) a)) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 15897/744186. ------ 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)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 15898/744240. ------ 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. ------ 15899/744258. ------ 1. ==[ start ]==> (((^a.b) a)(b b)) 2. ==[ alpha ]==> (((^x.b) a)(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 15900/744267. ------ 1. ==[ start ]==> ((a (a b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 15901/744276. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15902/744357. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (^a.a))) 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. ------ 15903/744420. ------ 1. ==[ start ]==> ((((a a) a) b)(a b)) REDUCED to normal form. ------ 15904/744438. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)(^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. ------ 15905/744447. ------ 1. ==[ start ]==> (((a b) a)(a (a a))) REDUCED to normal form. ------ 15906/744465. ------ 1. ==[ start ]==> (((^a.a)(a b))(a (^a.a))) 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. ------ 15907/744474. ------ 1. ==[ start ]==> (((a a)(^a.b))(a a)) 2. ==[ alpha ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 15908/746577. ------ 1. ==[ start ]==> (((^a.a)(a b)) c) 2. ==[ alpha ]==> (((^x.x)(a b)) c) 3. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 15909/746586. ------ 1. ==[ start ]==> (((a a)(^a.b)) b) 2. ==[ alpha ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 15910/746610. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 15911/746622. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(a b))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(a y))) 3. ==[ eta ]==> (((^x.x) a) a) 4. ==[ beta ]==> (a a) REDUCED to normal form. ------ 15912/746811. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 15913/746853. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a) b)) 3. ==[ beta ]==> (^y.((^z.a) b)) 4. ==[ alpha ]==> (^x.((^y.a) b)) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 15914/746925. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)(a (a a)))) 3. ==[ eta ]==> ((^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. ------ 15915/747000. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.b))) 3. ==[ beta ]==> ((a a)(^y.(^z.b))) 4. ==[ alpha ]==> ((a a)(^x.(^y.b))) REDUCED to normal form. ------ 15916/747096. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 15917/747324. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 15918/747756. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 15919/748107. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(z z)))) 5. ==[ beta ]==> (b (^y.(^z.(z z)))) 6. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 15920/748215. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 15921/748296. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^y.a)) REDUCED to normal form. ------ 15922/748311. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 15923/748386. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.((^a.a) a))) 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. ------ 15924/748491. ------ 1. ==[ start ]==> ((^a.(a b))(b b)) 2. ==[ alpha ]==> ((^x.(x b))(b b)) 3. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 15925/748503. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15926/748647. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(a a))) REDUCED to normal form. ------ 15927/748665. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 15928/748674. ------ 1. ==[ start ]==> (((a b) a)(^b.(^a.a))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 15929/748692. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.a)) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.a)) 3. ==[ beta ]==> ((a b)(^y.a)) 4. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 15930/748701. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 15931/748731. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 15932/748740. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(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))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 15933/748758. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b) a)) 3. ==[ beta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 15934/748767. ------ 1. ==[ start ]==> (((a a) a)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a) a)((^x.b)(^y.y))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 15935/748785. ------ 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. ------ 15936/748821. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 15937/748848. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 15938/748875. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 15939/748929. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 15940/748947. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^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. ------ 15941/748974. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a) b)) 2. ==[ alpha ]==> ((a (^x.a))((^y.a) b)) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 15942/748992. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 15943/749019. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a)) a)) REDUCED to normal form. ------ 15944/749046. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^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. ------ 15945/749091. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.a))) REDUCED to normal form. ------ 15946/749118. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a (^y.b))) 3. ==[ beta ]==> ((a a)(a (^y.b))) 4. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 15947/749136. ------ 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 ]==> (((^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. ------ 15948/749145. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 15949/749163. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(^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. ------ 15950/749172. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a (^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. ------ 15951/749199. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))(a ((^z.z) a))) 8. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 9. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 15952/749217. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 15953/749325. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((((^y.y)(^z.z)) b)(((^y.y)(^z.z)) 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. ------ 15954/749352. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 15955/749388. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 15956/749415. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 15957/749559. ------ 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. ------ 15958/749586. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 15959/749631. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 15960/749676. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^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. ------ 15961/749703. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.x1))(^y1.(y1 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. ------ 15962/749757. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) a)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1)) 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. ------ 15963/749766. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 15964/749793. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 15965/749820. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 15966/749847. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.(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. ------ 15967/749874. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(^b.(^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. ------ 15968/749892. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 15969/749964. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 15970/749991. ------ 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. ------ 15971/750135. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 15972/750189. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z)) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z)) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z)) c)) 5. ==[ beta ]==> (a ((a (^z.z)) c)) 6. ==[ alpha ]==> (a ((a (^x.x)) c)) REDUCED to normal form. ------ 15973/750225. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^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. ------ 15974/750270. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a) b)) 3. ==[ beta ]==> (((a a) a)((^y.a) b)) 4. ==[ alpha ]==> (((a a) a)((^x.a) b)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 15975/750306. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.a))) REDUCED to normal form. ------ 15976/750333. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.(y y)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 15977/750351. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.z))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(^z.z))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.y))) 9. ==[ beta ]==> ((a a)(a (^y.y))) 10. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 15978/750360. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 15979/750387. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^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. ------ 15980/750414. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y) a)) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 15981/750432. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a) a)) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 15982/750477. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (a (^z.z)))) REDUCED to normal form. ------ 15983/750504. ------ 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. ------ 15984/750531. ------ 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))) REDUCED to normal form. ------ 15985/750558. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 15986/750603. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(a a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 15987/750612. ------ 1. ==[ start ]==> ((a (a b))(b b)) REDUCED to normal form. ------ 15988/750621. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 15989/750702. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1)) a)) IRREDUCIBLE: cycle. ------ 15990/750765. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(a a))) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 15991/750783. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 15992/750792. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(^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. ------ 15993/750810. ------ 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)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 15994/750819. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 15995/750836. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))((x x) x))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 15996/750837. ------ 1. ==[ start ]==> (a ((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (a ((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 15997/750867. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(a b))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(a y))) 3. ==[ eta ]==> ((^x.(x x)) a) 4. ==[ beta ]==> (a a) REDUCED to normal form. ------ 15998/752940. ------ 1. ==[ start ]==> (((a a)(^a.b)) c) 2. ==[ alpha ]==> (((a a)(^x.b)) c) REDUCED to normal form. ------ 15999/752958. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a)) a) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a)) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 16000/752964. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((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. ------ 16001/752991. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(a b))) 3. ==[ beta ]==> (((^y.y)(a b))((^y.y)(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. ------ 16002/752994. ------ 1. ==[ start ]==> ((a (a a))(^b.(a b))) 2. ==[ alpha ]==> ((a (a a))(^x.(a x))) 3. ==[ eta ]==> ((a (a a)) a) REDUCED to normal form. ------ 16003/753018. ------ 1. ==[ start ]==> ((^a.b)((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.b)((^y.b)(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 16004/753099. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^z.(z z))(^x1.(x1 x1)))(^y.y)) 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. ------ 16005/753192. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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)) REDUCED to normal form. ------ 16006/753216. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)(a a))) 3. ==[ beta ]==> (^y.(((a a) a)(a a))) 4. ==[ alpha ]==> (^x.(((a a) a)(a a))) REDUCED to normal form. ------ 16007/753534. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.((a a) a))) 3. ==[ beta ]==> ((a (a a))(^y.((a a) a))) 4. ==[ alpha ]==> ((a (a a))(^x.((a a) a))) REDUCED to normal form. ------ 16008/753705. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((^y.y)(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 16009/753783. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16010/753909. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(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. ------ 16011/754137. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.((^a.a)(^a.a)))) 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)))(^z.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 16012/754263. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 16013/754341. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.(^z.z))((^x1.x1) a))((^y.(^z.z))((^x1.x1) a)))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a)))((^x2.(^y2.y2))((^z2.z2) a))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))((^z1.z1) a)))((^x2.(^y2.y2))((^z2.z2) a))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((^x1.x1) a)))((^y1.(^z1.z1))((^x2.x2) a))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16014/754470. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.d)) 3. ==[ beta ]==> (((^y.y) b)(^z.d)) 4. ==[ alpha ]==> (((^x.x) b)(^y.d)) 5. ==[ beta ]==> (b (^y.d)) 6. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 16015/754749. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(^b.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. ------ 16016/754830. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 16017/754854. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(a a)) b) 4. ==[ alpha ]==> (((^x.(^y.y))(a a)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 16018/754947. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.(a (^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. ------ 16019/755010. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 16020/755028. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 16021/755037. ------ 1. ==[ start ]==> (((a b) a)(^c.a)) 2. ==[ alpha ]==> (((a b) a)(^x.a)) REDUCED to normal form. ------ 16022/755055. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(y y))) 3. ==[ beta ]==> ((a b)(^y.(y y))) 4. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 16023/755064. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.a)) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.a)) REDUCED to normal form. ------ 16024/755082. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 16025/755094. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 16026/755112. ------ 1. ==[ start ]==> (((^a.a) a)((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)((a a)(^y.b))) 3. ==[ beta ]==> (a ((a a)(^y.b))) 4. ==[ alpha ]==> (a ((a a)(^x.b))) REDUCED to normal form. ------ 16027/755121. ------ 1. ==[ start ]==> ((a (a a))((^a.a)(a b))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(a b))) 3. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 16028/755139. ------ 1. ==[ start ]==> (((a a) a)((a b) a)) REDUCED to normal form. ------ 16029/755148. ------ 1. ==[ start ]==> ((a b)((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a b)((^x.b)(^y.y))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 16030/755166. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a) b)) REDUCED to normal form. ------ 16031/755193. ------ 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 ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 16032/755202. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 16033/755229. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 16034/755292. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b ((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(b ((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(b ((a a) a))) REDUCED to normal form. ------ 16035/755319. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 16036/755328. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 16037/755346. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)(a a))) REDUCED to normal form. ------ 16038/755382. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16039/755427. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 16040/755454. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^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. ------ 16041/755517. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(^y.y))) REDUCED to normal form. ------ 16042/755544. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 16043/755571. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(^z.a))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 16044/755607. ------ 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)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 16045/755634. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 16046/755661. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a (a a))((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 16047/755679. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a) a) a)) 3. ==[ beta ]==> ((a a)(((a a) a) a)) REDUCED to normal form. ------ 16048/755805. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a a))(b (^y.y))) 6. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 16049/755832. ------ 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)(a ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 16050/755841. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 16051/755868. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 16052/755886. ------ 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. ------ 16053/755913. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 16054/755958. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.(^z.z)))) REDUCED to normal form. ------ 16055/756003. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 16056/756012. ------ 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. ------ 16057/756039. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 16058/756138. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> (((a (a a)) b)((^y.y) a)) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x) a)) 5. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 16059/756165. ------ 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. ------ 16060/756192. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a c)) REDUCED to normal form. ------ 16061/756264. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a ((^a.a)(^a.a)))) 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)))) 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. ------ 16062/756273. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 16063/756300. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(z z)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 7. ==[ beta ]==> ((^y.(y y)) b) 8. ==[ alpha ]==> ((^x.(x x)) b) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 16064/756363. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (^y.(y y)))) REDUCED to normal form. ------ 16065/756390. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 16066/756417. ------ 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. ------ 16067/756444. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.a)(a (^y.y)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 16068/756471. ------ 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))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 16069/756561. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (a (^z.z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (a (^z.z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (a (^z.z)))) 5. ==[ beta ]==> (a (c (a (^z.z)))) 6. ==[ alpha ]==> (a (c (a (^x.x)))) REDUCED to normal form. ------ 16070/756624. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x)) a)) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 16071/756642. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(a a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a a))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 16072/756669. ------ 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 (^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a (^z1.z1)))) 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. ------ 16073/756678. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 16074/756732. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.y))) REDUCED to normal form. ------ 16075/756759. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^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. ------ 16076/756786. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 16077/756822. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 16078/756849. ------ 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.(^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. ------ 16079/756876. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.a))) 5. ==[ beta ]==> ((a (a (a a)))(^y.a)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.a)) REDUCED to normal form. ------ 16080/756930. ------ 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)))) REDUCED to normal form. ------ 16081/756957. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.a))) REDUCED to normal form. ------ 16082/756975. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)((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. ------ 16083/756984. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 16084/756993. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b b)) 3. ==[ beta ]==> ((^y.b)(b b)) 4. ==[ alpha ]==> ((^x.b)(b b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 16085/757074. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (a (^z.z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a (a (^z.z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (a (^z.z)))) IRREDUCIBLE: cycle. ------ 16086/757137. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.x))) REDUCED to normal form. ------ 16087/757155. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 16088/757164. ------ 1. ==[ start ]==> (((a b) a)((a a) a)) REDUCED to normal form. ------ 16089/757182. ------ 1. ==[ start ]==> (((^a.a)(a b))(a (a a))) 2. ==[ alpha ]==> (((^x.x)(a b))(a (a a))) 3. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 16090/757191. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y) a)) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 16091/757209. ------ 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 a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 16092/758931. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 16093/759339. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a)) b) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a)) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 16094/759363. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 16095/759381. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(^y.b))) 3. ==[ beta ]==> (((a a)(^y.b))((a a)(^y.b))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.b))) REDUCED to normal form. ------ 16096/759393. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^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. ------ 16097/759408. ------ 1. ==[ start ]==> ((^a.b)((a b) a)) 2. ==[ alpha ]==> ((^x.b)((a b) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 16098/759582. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 16099/759591. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z b))) REDUCED to normal form. ------ 16100/759771. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.b))) 5. ==[ beta ]==> (a (^y.(^z.b))) 6. ==[ alpha ]==> (a (^x.(^y.b))) REDUCED to normal form. ------ 16101/759849. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 16102/759948. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a) a) a)) 3. ==[ beta ]==> ((((a a) a) a)((((a a) a) a)(((a a) a) a))) REDUCED to normal form. ------ 16103/760095. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 16104/760104. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((z z) z))) REDUCED to normal form. ------ 16105/760299. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16106/760392. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16107/760527. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 16108/760536. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 16109/760731. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((((a (^y.y))(^z.a))((a (^y.y))(^z.a)))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((((a (^x.x))(^y.a))((a (^z.z))(^x1.a)))((a (^y1.y1))(^z1.a))) REDUCED to normal form. ------ 16110/760770. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(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))) REDUCED to normal form. ------ 16111/760887. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(x (x x)))) REDUCED to normal form. ------ 16112/760986. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(z z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 16113/761064. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 16114/761067. ------ 1. ==[ start ]==> ((a (^a.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (^x.b))(^y.a)) REDUCED to normal form. ------ 16115/761220. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.c)) REDUCED to normal form. ------ 16116/761244. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a (^y.y))(^z.z)) b) 4. ==[ alpha ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 16117/761337. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 16118/761418. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 16119/761427. ------ 1. ==[ start ]==> (((a b) a)(^a.b)) 2. ==[ alpha ]==> (((a b) a)(^x.b)) REDUCED to normal form. ------ 16120/761445. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.z))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 16121/761454. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(y y))) REDUCED to normal form. ------ 16122/761472. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16123/761502. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 16124/761520. ------ 1. ==[ start ]==> ((a (a a))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (a a))((a a)(^x.b))) REDUCED to normal form. ------ 16125/761529. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a b))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 16126/761547. ------ 1. ==[ start ]==> ((a b)((a b) a)) REDUCED to normal form. ------ 16127/761556. ------ 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))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 16128/761637. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 16129/761664. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 16130/761700. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((a a) a))) REDUCED to normal form. ------ 16131/761718. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^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. ------ 16132/761727. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a b))) REDUCED to normal form. ------ 16133/761781. ------ 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)(((^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. ------ 16134/761790. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 16135/761862. ------ 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 (^x.x)) b)((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.z))) REDUCED to normal form. ------ 16136/761889. ------ 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. ------ 16137/761907. ------ 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. ------ 16138/761988. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 16139/762006. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(x x)))) REDUCED to normal form. ------ 16140/762033. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 16141/762087. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a) a) a)) REDUCED to normal form. ------ 16142/762123. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16143/762177. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 7. ==[ beta ]==> ((^y.a)(^z.(z z))) 8. ==[ alpha ]==> ((^x.a)(^y.(y y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 16144/762204. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 16145/762213. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 16146/762240. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a ((a a) a))) REDUCED to normal form. ------ 16147/762267. ------ 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. ------ 16148/762294. ------ 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. ------ 16149/762411. ------ 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. ------ 16150/762438. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 16151/762447. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16152/762474. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 16153/762528. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1)(^x2.x2)))) 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. ------ 16154/762582. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 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. ------ 16155/762609. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 16156/762645. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b (a (a a)))) 3. ==[ beta ]==> ((a (^y.a))(b (a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))(b (a (a a)))) REDUCED to normal form. ------ 16157/762663. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(^b.(^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. ------ 16158/762672. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 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. ------ 16159/762699. ------ 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. ------ 16160/762735. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a) c)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 16161/762816. ------ 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. ------ 16162/762843. ------ 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. ------ 16163/762870. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 16164/762906. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 16165/762960. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 16166/762996. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b ((^z.z) a))) 3. ==[ beta ]==> (((^y.y) b)(b ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) b)(b ((^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. ------ 16167/763023. ------ 1. ==[ start ]==> ((((a a) a) a)(a (a (a a)))) REDUCED to normal form. ------ 16168/763077. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 16169/763104. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a) a)) REDUCED to normal form. ------ 16170/763122. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a (^z.(z z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a (^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (^z.(z z)))) 5. ==[ beta ]==> ((a ((^y.y) a))(a (^z.(z z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.(y y)))) 7. ==[ beta ]==> ((a a)(a (^y.(y y)))) 8. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 16171/763185. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b c)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b c)) REDUCED to normal form. ------ 16172/763203. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.b))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.b))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 16173/763221. ------ 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. ------ 16174/763248. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z)) b)) REDUCED to normal form. ------ 16175/763302. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a) a)) 3. ==[ beta ]==> (((a (a a)) a)((^y.a) a)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a) a)) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 16176/763329. ------ 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))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 16177/763374. ------ 1. ==[ start ]==> (((^a.b) a)(c a)) 2. ==[ alpha ]==> (((^x.b) a)(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 16178/763383. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 16179/763392. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 16180/763473. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 16181/763536. ------ 1. ==[ start ]==> ((((a a) a) b)(b a)) REDUCED to normal form. ------ 16182/763554. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)(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. ------ 16183/763563. ------ 1. ==[ start ]==> (((a b) a)(a b)) REDUCED to normal form. ------ 16184/763581. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 16185/763590. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (a a))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (a a))) REDUCED to normal form. ------ 16186/763608. ------ 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)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 16187/765339. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 16188/765819. ------ 1. ==[ start ]==> (((a a) a)(^b.(a b))) 2. ==[ alpha ]==> (((a a) a)(^x.(a x))) 3. ==[ eta ]==> (((a a) a) a) REDUCED to normal form. ------ 16189/765861. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16190/766008. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.z))) REDUCED to normal form. ------ 16191/766023. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b) a)) 3. ==[ beta ]==> (^y.((^z.b) a)) 4. ==[ alpha ]==> (^x.((^y.b) a)) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 16192/766095. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))((^z.z) a))) 3. ==[ eta ]==> ((^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. ------ 16193/766197. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 16194/766266. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))(^z.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 16195/766359. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.((a a) a))) 3. ==[ beta ]==> ((a a)(^y.((a a) a))) 4. ==[ alpha ]==> ((a a)(^x.((a a) a))) REDUCED to normal form. ------ 16196/766521. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.a))) REDUCED to normal form. ------ 16197/766590. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16198/766683. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.y))) 3. ==[ beta ]==> ((b b)(^y.(^z.y))) 4. ==[ alpha ]==> ((b b)(^x.(^y.x))) REDUCED to normal form. ------ 16199/766818. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(^x.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 16200/766953. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 16201/767187. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 16202/767304. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 16203/767412. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 16204/767481. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 16205/767484. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 16206/767583. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.((^a.a) a))) 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. ------ 16207/767655. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 16208/767661. ------ 1. ==[ start ]==> ((^a.(a b))(c a)) 2. ==[ alpha ]==> ((^x.(x b))(c a)) 3. ==[ beta ]==> ((c a) b) REDUCED to normal form. ------ 16209/767817. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 16210/767835. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(^a.a))) 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. ------ 16211/767844. ------ 1. ==[ start ]==> (((a b) a)(^b.(a a))) 2. ==[ alpha ]==> (((a b) a)(^x.(a a))) REDUCED to normal form. ------ 16212/767862. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.a)) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.a)) 3. ==[ beta ]==> ((a b)(^y.a)) 4. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 16213/767871. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 16214/767889. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 16215/767937. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (a ((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (a ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 16216/767955. ------ 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. ------ 16217/767964. ------ 1. ==[ start ]==> (((a a) a)((^a.a)(a b))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(a b))) 3. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 16218/767982. ------ 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. ------ 16219/767991. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 16220/768009. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 16221/768018. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 16222/768045. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16223/768072. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 16224/768099. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 16225/768153. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 16226/768171. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b) a)) 2. ==[ alpha ]==> ((a (^x.a))((^y.b) a)) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 16227/768189. ------ 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. ------ 16228/768216. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(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. ------ 16229/768243. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a a)((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((a a)((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((a a)((a (a a)) a)) REDUCED to normal form. ------ 16230/768288. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.(^z.z)))) REDUCED to normal form. ------ 16231/768315. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (^y.a))) 3. ==[ beta ]==> ((a a)(b (^y.a))) 4. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 16232/768342. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (^y.b))) REDUCED to normal form. ------ 16233/768360. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((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. ------ 16234/768396. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^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. ------ 16235/768414. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 16236/768504. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)((a a) a))) 3. ==[ beta ]==> ((a a)((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 16237/768522. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a) a)) 3. ==[ beta ]==> ((^y.(y y))(((a a) a) a)) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a) a)) 5. ==[ beta ]==> ((((a a) a) a)(((a a) a) a)) REDUCED to normal form. ------ 16238/768549. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z)) b) 6. ==[ alpha ]==> (((^x.x)(^y.y)) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 16239/768585. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((a b)((^y.a)(^y.a))) 6. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 16240/768612. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 16241/768639. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))(^b.(^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. ------ 16242/768666. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 16243/768711. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(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))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 16244/768738. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z)) c)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(c c)) REDUCED to normal form. ------ 16245/768756. ------ 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. ------ 16246/768783. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 16247/768810. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a (^x.x)))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 16248/768828. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a (^y.a))) 3. ==[ beta ]==> ((b b)(a (^y.a))) 4. ==[ alpha ]==> ((b b)(a (^x.a))) REDUCED to normal form. ------ 16249/768873. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16250/768900. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 16251/768954. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 16252/768963. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a)) b)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 16253/768990. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 16254/769008. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a)) b)) 5. ==[ beta ]==> ((^y.y)((a (a a)) b)) 6. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 16255/769017. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 16256/769044. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 16257/769071. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 16258/769098. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 16259/769161. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 16260/769188. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 16261/769215. ------ 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. ------ 16262/769332. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(y1 y1)))) 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. ------ 16263/769386. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a) b)) 5. ==[ beta ]==> (a (((^z.z) a) b)) 6. ==[ alpha ]==> (a (((^x.x) a) b)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 16264/769422. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^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. ------ 16265/769449. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(y y))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(x x))) REDUCED to normal form. ------ 16266/769467. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a) a)((^y.(y y)) a)) 4. ==[ alpha ]==> (((a a) a)((^x.(x x)) a)) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 16267/769494. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.a) b)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 16268/769503. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (^x1.(^y1.y1)))) REDUCED to normal form. ------ 16269/769530. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (^z.a))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (^z.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 16270/769557. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 16271/769584. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16272/769611. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 16273/769629. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 16274/769701. ------ 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. ------ 16275/769728. ------ 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. ------ 16276/769755. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(a a))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 16277/769782. ------ 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. ------ 16278/769800. ------ 1. ==[ start ]==> (((^a.b) a)(a (^b.a))) 2. ==[ alpha ]==> (((^x.b) a)(a (^y.a))) 3. ==[ beta ]==> (b (a (^y.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 16279/769809. ------ 1. ==[ start ]==> ((a (a b))(c a)) REDUCED to normal form. ------ 16280/769818. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 16281/769899. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a) b)) IRREDUCIBLE: cycle. ------ 16282/769962. ------ 1. ==[ start ]==> ((((a a) a) b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 16283/769980. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)(^a.a))) 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. ------ 16284/769989. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(a a))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(a a))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 16285/770007. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a) a)) 2. ==[ alpha ]==> (((^x.x)(a b))((a a) a)) 3. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 16286/770016. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(^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. ------ 16287/770034. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a) 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. ------ 16288/770060. ------ 1. ==[ start ]==> (^a.((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.x)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 16289/770061. ------ 1. ==[ start ]==> (a ((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a ((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 16290/770118. ------ 1. ==[ start ]==> ((^a.b)(^b.(a b))) 2. ==[ alpha ]==> ((^x.b)(^y.(a y))) 3. ==[ eta ]==> ((^x.b) a) 4. ==[ beta ]==> b REDUCED to normal form. ------ 16291/770316. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(z b))) 3. ==[ beta ]==> (^y.(^z.(z b))) 4. ==[ alpha ]==> (^x.(^y.(y b))) REDUCED to normal form. ------ 16292/770658. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.((a a) a))) 3. ==[ beta ]==> ((^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)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 16293/771954. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.y))) 3. ==[ beta ]==> ((^y.(^z.y)) b) 4. ==[ alpha ]==> ((^x.(^y.x)) b) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 16294/772215. ------ 1. ==[ start ]==> ((^a.a)((^b.a)((^a.a)(^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. ------ 16295/772242. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((^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))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16296/772269. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 16297/772272. ------ 1. ==[ start ]==> ((a b)(^b.(a b))) 2. ==[ alpha ]==> ((a b)(^x.(a x))) 3. ==[ eta ]==> ((a b) a) REDUCED to normal form. ------ 16298/772350. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.a))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16299/772467. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (a b))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (a b))) 3. ==[ beta ]==> (^y.(a (a b))) 4. ==[ alpha ]==> (^x.(a (a b))) REDUCED to normal form. ------ 16300/772470. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(a b))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(y b))) REDUCED to normal form. ------ 16301/772809. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)((a a) a))((^z.z)((a a) a)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)((a a) a))((^z.z)((a a) a)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)((a a) a))((^y.y)((a a) a)))) 7. ==[ beta ]==> (((a a) a)(((a a) a)((^y.y)((a a) a)))) 8. ==[ alpha ]==> (((a a) a)(((a a) a)((^x.x)((a a) a)))) 9. ==[ beta ]==> (((a a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 16302/772812. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.((a a) a))) REDUCED to normal form. ------ 16303/773034. ------ 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. ------ 16304/773160. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16305/773262. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 16306/773541. ------ 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. ------ 16307/773592. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.a)(a (^z.z)))((^y.a)(a (^z.z))))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((((^x.a)(a (^y.y)))((^z.a)(a (^x1.x1))))((^y1.a)(a (^z1.z1)))) 5. ==[ beta ]==> ((a ((^z.a)(a (^x1.x1))))((^y1.a)(a (^z1.z1)))) 6. ==[ alpha ]==> ((a ((^x.a)(a (^y.y))))((^z.a)(a (^x1.x1)))) 7. ==[ beta ]==> ((a a)((^z.a)(a (^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.a)(a (^y.y)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 16308/773766. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(y (y y)))) 3. ==[ beta ]==> (((a a) a)(^y.(y (y y)))) 4. ==[ alpha ]==> (((a a) a)(^x.(x (x x)))) REDUCED to normal form. ------ 16309/773925. ------ 1. ==[ start ]==> ((^a.(^a.b))(b c)) 2. ==[ alpha ]==> ((^x.(^y.b))(b c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 16310/773946. ------ 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))(^x.a)) REDUCED to normal form. ------ 16311/774027. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 16312/774099. ------ 1. ==[ start ]==> (((^a.b) a)(^b.c)) 2. ==[ alpha ]==> (((^x.b) a)(^y.c)) 3. ==[ beta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 16313/774105. ------ 1. ==[ start ]==> ((^a.(a b))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(x b))(a (^y.a))) 3. ==[ beta ]==> ((a (^y.a)) b) 4. ==[ alpha ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 16314/774108. ------ 1. ==[ start ]==> ((a (a b))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.x))) REDUCED to normal form. ------ 16315/774261. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.b)) 2. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 16316/774288. ------ 1. ==[ start ]==> (((a b) a)(^c.(^a.a))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 16317/774306. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.b)) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.b)) 3. ==[ beta ]==> ((a b)(^y.b)) 4. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 16318/774315. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.a)) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.a)) REDUCED to normal form. ------ 16319/774333. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 16320/774372. ------ 1. ==[ start ]==> ((a a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 16321/774399. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 16322/774417. ------ 1. ==[ start ]==> (((a a) a)((a a)(^a.b))) 2. ==[ alpha ]==> (((a a) a)((a a)(^x.b))) REDUCED to normal form. ------ 16323/774426. ------ 1. ==[ start ]==> ((a b)((^a.a)(a b))) 2. ==[ alpha ]==> ((a b)((^x.x)(a b))) 3. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 16324/774444. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((a b) a)) REDUCED to normal form. ------ 16325/774471. ------ 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. ------ 16326/774507. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 16327/774597. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 16328/774624. ------ 1. ==[ start ]==> ((a (^b.a))(a (a b))) 2. ==[ alpha ]==> ((a (^x.a))(a (a b))) REDUCED to normal form. ------ 16329/774660. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a) b)) 3. ==[ beta ]==> ((^y.y)((^z.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 16330/774705. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((^y.a)((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((^x.a)((a (a a))((^y.y) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 16331/774732. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(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. ------ 16332/774786. ------ 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. ------ 16333/774822. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 16334/774849. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 16335/774885. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (((a a) a)(a ((^y.y) a))) 8. ==[ alpha ]==> (((a a) a)(a ((^x.x) a))) 9. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 16336/774912. ------ 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)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 16337/774939. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 16338/774966. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))((a a) a)) REDUCED to normal form. ------ 16339/775038. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (a a)) c)) 3. ==[ beta ]==> ((a b)((a (a a)) c)) REDUCED to normal form. ------ 16340/775110. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 16341/775164. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(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. ------ 16342/775173. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 16343/775191. ------ 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. ------ 16344/775263. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 16345/775317. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 16346/775416. ------ 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. ------ 16347/775443. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(^a.a)) 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 ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 16348/775470. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 16349/775542. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b (a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b (a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 16350/775578. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16351/775668. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.(z z)))) 3. ==[ beta ]==> ((a ((^y.y) a))(b (^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(y y)))) 5. ==[ beta ]==> ((a a)(b (^y.(y y)))) 6. ==[ alpha ]==> ((a a)(b (^x.(x x)))) REDUCED to normal form. ------ 16352/775695. ------ 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. ------ 16353/775722. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a a)((^y.(y y))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a a))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 16354/775749. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 16355/775875. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z)) c)) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z)) c)) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y)) c)) 5. ==[ beta ]==> (b ((a (^y.y)) c)) 6. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 16356/775920. ------ 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. ------ 16357/775947. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 16358/775956. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 16359/776001. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a a)((^z.z) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)((^z.z) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a a)((^z.z) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a a)((^y.y) a))) 7. ==[ beta ]==> ((a a)((a a)((^y.y) a))) 8. ==[ alpha ]==> ((a a)((a a)((^x.x) a))) 9. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 16360/776037. ------ 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) a)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16361/776064. ------ 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)))) REDUCED to normal form. ------ 16362/776082. ------ 1. ==[ start ]==> ((a (^a.b))(b c)) 2. ==[ alpha ]==> ((a (^x.b))(b c)) REDUCED to normal form. ------ 16363/776100. ------ 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. ------ 16364/776127. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 16365/776154. ------ 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)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 16366/776181. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a (a a)) a)(^y.a)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.a)) REDUCED to normal form. ------ 16367/776235. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 16368/776253. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a) c)) 2. ==[ alpha ]==> (((^x.b) a)((^y.y) c)) 3. ==[ beta ]==> (b ((^y.y) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 16369/776262. ------ 1. ==[ start ]==> ((a (a b))(a (^b.a))) 2. ==[ alpha ]==> ((a (a b))(a (^x.a))) REDUCED to normal form. ------ 16370/776271. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c a)) 3. ==[ beta ]==> ((^y.b)(c a)) 4. ==[ alpha ]==> ((^x.b)(c a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 16371/776352. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b (a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (a a))) IRREDUCIBLE: cycle. ------ 16372/776415. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a) b)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x) b)) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 16373/776433. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 16374/776442. ------ 1. ==[ start ]==> (((a b) a)((a a)(^a.a))) 2. ==[ alpha ]==> (((a b) a)((a a)(^x.x))) REDUCED to normal form. ------ 16375/776460. ------ 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. ------ 16376/776469. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((a a) a)) REDUCED to normal form. ------ 16377/776487. ------ 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 a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 16378/776522. ------ 1. ==[ start ]==> (^a.(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y) x)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.(x (^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 16379/776523. ------ 1. ==[ start ]==> (a (((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (a (((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (a (a (^y.(^z.z)))) 4. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 16380/776580. ------ 1. ==[ start ]==> ((^a.b)(^c.(^a.b))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 16381/776778. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.(^z.(^x1.z))) 4. ==[ alpha ]==> (^x.(^y.(^z.y))) REDUCED to normal form. ------ 16382/778416. ------ 1. ==[ start ]==> ((^a.(a b))(^b.c)) 2. ==[ alpha ]==> ((^x.(x b))(^y.c)) 3. ==[ beta ]==> ((^y.c) b) 4. ==[ alpha ]==> ((^x.c) b) 5. ==[ beta ]==> c REDUCED to normal form. ------ 16383/778680. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a))) a) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z))) a) 3. ==[ beta ]==> ((a (^y.(^z.z))) a) 4. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 16384/778686. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)(^b.(^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. ------ 16385/778695. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 16386/778740. ------ 1. ==[ start ]==> ((^a.b)((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.b)((a a)(^y.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 16387/778743. ------ 1. ==[ start ]==> ((a b)(^c.(^a.b))) 2. ==[ alpha ]==> ((a b)(^x.(^y.b))) REDUCED to normal form. ------ 16388/778752. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(a y))) 3. ==[ eta ]==> (((^x.x)(a a)) a) 4. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 16389/778776. ------ 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. ------ 16390/778938. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(^x1.b))) 3. ==[ beta ]==> (^y.((^z.z)(^x1.b))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.b))) 5. ==[ beta ]==> (^x.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 16391/778941. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 16392/779010. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1)) c)) 3. ==[ eta ]==> ((^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. ------ 16393/779112. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 16394/779130. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 16395/779181. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 16396/779292. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((a a) a))) 3. ==[ beta ]==> ((^y.(y y))(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))(^y.((a a) a))) 5. ==[ beta ]==> ((^y.((a a) a))(^y.((a a) a))) 6. ==[ alpha ]==> ((^x.((a a) a))(^y.((a a) a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 16397/779463. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 16398/779598. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.((^a.a)(^a.a)))) 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)(^x.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 16399/779631. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^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. ------ 16400/779895. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.((^a.a)(^a.a)))) 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 ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16401/780063. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((((^y.y) a)(^z.(^x1.x1)))(((^y.y) a)(^z.(^x1.x1))))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1))))(((^x2.x2) a)(^y2.(^z2.z2)))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1))))(((^x2.x2) a)(^y2.(^z2.z2)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1))))(((^z1.z1) a)(^x2.(^y2.y2)))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^x1.(^y1.y1))))(((^z1.z1) a)(^x2.(^y2.y2)))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.x2)))) 9. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^z1.(^x2.x2)))) 10. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^y1.(^z1.z1)))) REDUCED to normal form. ------ 16402/780237. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 16403/780327. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^y.a)) REDUCED to normal form. ------ 16404/780396. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 16405/780570. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(a (^z.z)))) 3. ==[ beta ]==> (b (^y.(a (^z.z)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 16406/780576. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a) c)) 2. ==[ alpha ]==> ((^x.(x b))((^y.y) c)) 3. ==[ beta ]==> (((^y.y) c) b) 4. ==[ alpha ]==> (((^x.x) c) b) 5. ==[ beta ]==> (c b) REDUCED to normal form. ------ 16407/780579. ------ 1. ==[ start ]==> ((a (a b))(^b.c)) 2. ==[ alpha ]==> ((a (a b))(^x.c)) REDUCED to normal form. ------ 16408/780588. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 16409/780732. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(a a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(a a))) REDUCED to normal form. ------ 16410/780750. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 16411/780777. ------ 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. ------ 16412/780786. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.b)) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.b)) REDUCED to normal form. ------ 16413/780804. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(^a.a))) 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. ------ 16414/780840. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 16415/780852. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 16416/780861. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 16417/780888. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 16418/780906. ------ 1. ==[ start ]==> ((a b)((a a)(^a.b))) 2. ==[ alpha ]==> ((a b)((a a)(^x.b))) REDUCED to normal form. ------ 16419/780915. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a b))) 3. ==[ beta ]==> ((a a)((^y.y)(a b))) 4. ==[ alpha ]==> ((a a)((^x.x)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 16420/780942. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 16421/780960. ------ 1. ==[ start ]==> (((a a)(a a))(((a a) a) b)) REDUCED to normal form. ------ 16422/780996. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16423/781023. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 7. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 16424/781050. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 16425/781086. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b ((a a) a))) REDUCED to normal form. ------ 16426/781104. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a (^x.a))(^z.b)) 4. ==[ alpha ]==> ((a (^x.a))(^y.b)) REDUCED to normal form. ------ 16427/781122. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b) a)) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 16428/781140. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 16429/781176. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 16430/781221. ------ 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 (^x.x)) b)(a (a (a a)))) REDUCED to normal form. ------ 16431/781248. ------ 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. ------ 16432/781266. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.a))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.a))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.a))) 5. ==[ beta ]==> (a (b (^y.a))) 6. ==[ alpha ]==> (a (b (^x.a))) REDUCED to normal form. ------ 16433/781275. ------ 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. ------ 16434/781293. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a (^x1.b))) 3. ==[ beta ]==> ((^y.y)(a (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 16435/781347. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 16436/781365. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 16437/781392. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 16438/781419. ------ 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. ------ 16439/781455. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)((a a) a))) 5. ==[ beta ]==> (((^y.y)((a a) a))((^y.y)((a a) a))) 6. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)((a a) a))) 7. ==[ beta ]==> (((a a) a)((^y.y)((a a) a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)((a a) a))) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 16440/781482. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)(^a.a))) 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. ------ 16441/781536. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 7. ==[ beta ]==> ((^y.(y y))(^z.a)) 8. ==[ alpha ]==> ((^x.(x x))(^y.a)) 9. ==[ beta ]==> ((^y.a)(^y.a)) 10. ==[ alpha ]==> ((^x.a)(^y.a)) 11. ==[ beta ]==> a REDUCED to normal form. ------ 16442/781563. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 16443/781590. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.a))(^b.(^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. ------ 16444/781599. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.z))) REDUCED to normal form. ------ 16445/781626. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a ((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 16446/781653. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 16447/781761. ------ 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 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. ------ 16448/781797. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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 (^x.x))((^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. ------ 16449/781806. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 16450/781833. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 16451/781887. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16452/781941. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))(^a.a))) 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. ------ 16453/781968. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(z z))(^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. ------ 16454/782004. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c ((^z.z) a))) 3. ==[ beta ]==> ((a (^y.a))(c ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.a))(c ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.a))(c a)) REDUCED to normal form. ------ 16455/782022. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(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. ------ 16456/782031. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 16457/782058. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 16458/782094. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y)) b)) 5. ==[ beta ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 16459/782121. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a) c)) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 16460/782202. ------ 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. ------ 16461/782229. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 16462/782265. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 16463/782319. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (a ((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.y))) 7. ==[ beta ]==> (a ((^y.y)(^y.y))) 8. ==[ alpha ]==> (a ((^x.x)(^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 16464/782355. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c (a (^z.z)))) 3. ==[ beta ]==> (((^y.y) b)(c (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)(c (a (^y.y)))) 5. ==[ beta ]==> (b (c (a (^y.y)))) 6. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 16465/782382. ------ 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. ------ 16466/782400. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 16467/782436. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 16468/782463. ------ 1. ==[ start ]==> ((((^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.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 16469/782481. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b (^z.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b (^z.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))) 7. ==[ beta ]==> ((a a)(b (^y.a))) 8. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 16470/782490. ------ 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. ------ 16471/782562. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 16472/782580. ------ 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. ------ 16473/782607. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) 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. ------ 16474/782634. ------ 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. ------ 16475/782688. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(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)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 16476/782715. ------ 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))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 16477/782733. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a a)(a (^y.y)))) 3. ==[ beta ]==> (b ((a a)(a (^y.y)))) 4. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 16478/782742. ------ 1. ==[ start ]==> ((a (a b))((^a.a) c)) 2. ==[ alpha ]==> ((a (a b))((^x.x) c)) 3. ==[ beta ]==> ((a (a b)) c) REDUCED to normal form. ------ 16479/782751. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.a))) 3. ==[ beta ]==> ((^y.b)(a (^z.a))) 4. ==[ alpha ]==> ((^x.b)(a (^y.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 16480/782832. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) IRREDUCIBLE: cycle. ------ 16481/782895. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)(a a))) REDUCED to normal form. ------ 16482/782913. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 16483/782922. ------ 1. ==[ start ]==> (((a b) a)(b a)) REDUCED to normal form. ------ 16484/782940. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(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. ------ 16485/782949. ------ 1. ==[ start ]==> (((a a)(^a.b))(a b)) 2. ==[ alpha ]==> (((a a)(^x.b))(a b)) REDUCED to normal form. ------ 16486/782967. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 16487/783003. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 16488/784905. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(a (^z.z)))) 3. ==[ beta ]==> ((^y.(a (^z.z))) b) 4. ==[ alpha ]==> ((^x.(a (^y.y))) b) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 16489/785169. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a))) b) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z))) b) 3. ==[ beta ]==> ((a (^y.(^z.z))) b) 4. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 16490/785193. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^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. ------ 16491/785259. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(a y))) 3. ==[ eta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 16492/785274. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16493/785457. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y b))) REDUCED to normal form. ------ 16494/785508. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 16495/785637. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.b))) REDUCED to normal form. ------ 16496/785679. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 16497/785961. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 16498/786003. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16499/786258. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a (^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (^x.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 16500/786393. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 16501/786852. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16502/786894. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 16503/787023. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.((^a.a) a))) 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. ------ 16504/787074. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a (^y.y))) b) 4. ==[ alpha ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 16505/787077. ------ 1. ==[ start ]==> ((a (a b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(a (^y.y)))) REDUCED to normal form. ------ 16506/787086. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.c)) 3. ==[ beta ]==> ((^y.b)(^z.c)) 4. ==[ alpha ]==> ((^x.b)(^y.c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 16507/787248. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 16508/787257. ------ 1. ==[ start ]==> (((a b) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 16509/787275. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.z))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 16510/787284. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 16511/787338. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 16512/787368. ------ 1. ==[ start ]==> ((a (^a.a))(((^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. ------ 16513/787377. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 16514/787404. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 16515/787422. ------ 1. ==[ start ]==> (((^a.a)(a a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.b))) 3. ==[ beta ]==> ((a a)((a a)(^y.b))) 4. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 16516/787431. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a b))) 3. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 16517/787449. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 16518/787458. ------ 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))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 16519/787512. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 16520/787539. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 16521/787566. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 16522/787629. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a (a b))) REDUCED to normal form. ------ 16523/787656. ------ 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. ------ 16524/787683. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)((^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. ------ 16525/787692. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 16526/787782. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (^y.a))) REDUCED to normal form. ------ 16527/787809. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.b))) REDUCED to normal form. ------ 16528/787854. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(x x)))((^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. ------ 16529/787944. ------ 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 a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 16530/787989. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a) a) a)) 3. ==[ beta ]==> ((^y.y)(((a a) a) a)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 16531/788025. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 16532/788052. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 16533/788079. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 16534/788106. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^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. ------ 16535/788178. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 16536/788196. ------ 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. ------ 16537/788223. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a ((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a ((^y.y) a))) 7. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 16538/788250. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 16539/788268. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 16540/788277. ------ 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. ------ 16541/788313. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16542/788340. ------ 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))(^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. ------ 16543/788394. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 16544/788403. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^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. ------ 16545/788430. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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 ((^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. ------ 16546/788448. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 16547/788457. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 16548/788475. ------ 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)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 16549/788484. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 16550/788511. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 16551/788538. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 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. ------ 16552/788565. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a)(^b.(^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. ------ 16553/788601. ------ 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. ------ 16554/788628. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 16555/788655. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a a)((a (^y.y))((^z.z) a))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y) a))) 7. ==[ beta ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 16556/788682. ------ 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. ------ 16557/788772. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.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. ------ 16558/788826. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a)) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a)) a)) 5. ==[ beta ]==> (a ((a (a a)) a)) REDUCED to normal form. ------ 16559/788862. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.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. ------ 16560/788889. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 16561/788934. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1)) 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. ------ 16562/788997. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.a))) REDUCED to normal form. ------ 16563/789024. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16564/789051. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 16565/789069. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 16566/789087. ------ 1. ==[ start ]==> (((a a)((a a) a))(b c)) REDUCED to normal form. ------ 16567/789168. ------ 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. ------ 16568/789195. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 16569/789222. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 16570/789240. ------ 1. ==[ start ]==> (((^a.b) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 16571/789249. ------ 1. ==[ start ]==> ((a (a b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a a)(a (^x.x)))) REDUCED to normal form. ------ 16572/789258. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z) c)) 3. ==[ beta ]==> ((^y.b)((^z.z) c)) 4. ==[ alpha ]==> ((^x.b)((^y.y) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 16573/789339. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z)) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z)) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z)) a)) IRREDUCIBLE: cycle. ------ 16574/789402. ------ 1. ==[ start ]==> ((((a a) a) b)(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)(b (^x.x))) REDUCED to normal form. ------ 16575/789420. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z) b)) 3. ==[ beta ]==> (b ((^z.z) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 16576/789429. ------ 1. ==[ start ]==> (((a b) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 16577/789447. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)(^y.y))) 3. ==[ beta ]==> ((a b)((a a)(^y.y))) 4. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 16578/789456. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 16579/789474. ------ 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) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 16580/789510. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 16581/789527. ------ 1. ==[ start ]==> (^a.((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (^x.((^y.(y y))(x (x x)))) 3. ==[ beta ]==> (^x.((x (x x))(x (x x)))) REDUCED to normal form. ------ 16582/789528. ------ 1. ==[ start ]==> (a ((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (a ((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (a ((a (a a))(a (a a)))) REDUCED to normal form. ------ 16583/791685. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a))) c) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z))) c) 3. ==[ beta ]==> ((a (^y.(^z.z))) c) 4. ==[ alpha ]==> ((a (^x.(^y.y))) c) REDUCED to normal form. ------ 16584/791703. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a))) a) 2. ==[ alpha ]==> (((^x.(x x))(a (a a))) a) 3. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 16585/791709. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))(a (a a))) 4. ==[ alpha ]==> ((^x.(x x))(a (a a))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 16586/791736. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)((^z.z)(^x1.x1)))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (a ((^x1.a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 16587/791763. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 16588/791961. ------ 1. ==[ start ]==> ((^a.(^b.a))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(b ((a a) a))) 3. ==[ beta ]==> (^y.(b ((a a) a))) 4. ==[ alpha ]==> (^x.(b ((a a) a))) REDUCED to normal form. ------ 16589/791982. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 16590/792303. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))(((^y.(^z.z))((^x1.x1)(^y1.y1)))((^y.(^z.z))((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))((^z2.(^x3.x3))((^y3.y3)(^z3.z3))))) 5. ==[ beta ]==> ((^y.y)(((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))((^z2.(^x3.x3))((^y3.y3)(^z3.z3))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2))))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16591/792504. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 16592/792528. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16593/793062. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 16594/793086. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((^x.(x x))(a a))((^y.(y y))(a a)))((^z.(z z))(a a))) 5. ==[ beta ]==> ((((a a)(a a))((^y.(y y))(a a)))((^z.(z z))(a a))) 6. ==[ alpha ]==> ((((a a)(a a))((^x.(x x))(a a)))((^y.(y y))(a a))) 7. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))((^y.(y y))(a a))) 8. ==[ alpha ]==> ((((a a)(a a))((a a)(a a)))((^x.(x x))(a a))) 9. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))((a a)(a a))) REDUCED to normal form. ------ 16595/793287. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(y1 (y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 (y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 16596/793419. ------ 1. ==[ start ]==> ((^a.(^a.b))(c b)) 2. ==[ alpha ]==> ((^x.(^y.b))(c b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 16597/793467. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 16598/793548. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 16599/793599. ------ 1. ==[ start ]==> ((^a.(a b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b (^y.(^z.z))) b) 4. ==[ alpha ]==> ((b (^x.(^y.y))) b) REDUCED to normal form. ------ 16600/793611. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(a (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 16601/793773. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 16602/793782. ------ 1. ==[ start ]==> (((a b) a)(^b.b)) 2. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 16603/793809. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 16604/793827. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 16605/793863. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 16606/793881. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(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. ------ 16607/793893. ------ 1. ==[ start ]==> ((a a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a a)((^x.(x x))(a (a a)))) 3. ==[ beta ]==> ((a a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 16608/793911. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (a (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 16609/793920. ------ 1. ==[ start ]==> ((a (a a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 16610/793947. ------ 1. ==[ start ]==> ((a b)((^a.(^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. ------ 16611/793965. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 16612/793992. ------ 1. ==[ start ]==> (((^a.a) b)((a b) a)) 2. ==[ alpha ]==> (((^x.x) b)((a b) a)) 3. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 16613/794001. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.y))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 16614/794019. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 16615/794046. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> (((a a) b)((^y.y) c)) 4. ==[ alpha ]==> (((a a) b)((^x.x) c)) 5. ==[ beta ]==> (((a a) b) c) REDUCED to normal form. ------ 16616/794145. ------ 1. ==[ start ]==> ((a (^b.a))(b ((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))(b ((a a) a))) REDUCED to normal form. ------ 16617/794163. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 16618/794181. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b) a)) 3. ==[ beta ]==> ((^y.y)((^z.b) a)) 4. ==[ alpha ]==> ((^x.x)((^y.b) a)) 5. ==[ beta ]==> ((^y.b) a) 6. ==[ alpha ]==> ((^x.b) a) 7. ==[ beta ]==> b REDUCED to normal form. ------ 16619/794226. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 16620/794253. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))((^y1.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. ------ 16621/794307. ------ 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. ------ 16622/794334. ------ 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. ------ 16623/794370. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 16624/794406. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 16625/794433. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 16626/794460. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(a (a a)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 16627/794478. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 16628/794487. ------ 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)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 16629/794559. ------ 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. ------ 16630/794685. ------ 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))) REDUCED to normal form. ------ 16631/794712. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 16632/794811. ------ 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. ------ 16633/794937. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 16634/794964. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 16635/794991. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 16636/795018. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (a a)) b)) REDUCED to normal form. ------ 16637/795045. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a) c)) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a) c)) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a) c)) 5. ==[ beta ]==> ((a (^x.a))(a c)) REDUCED to normal form. ------ 16638/795216. ------ 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. ------ 16639/795243. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(a (^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 16640/795270. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(a a))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(a a))) REDUCED to normal form. ------ 16641/795306. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c c)) 3. ==[ beta ]==> ((^y.y)(c c)) 4. ==[ alpha ]==> ((^x.x)(c c)) 5. ==[ beta ]==> (c c) REDUCED to normal form. ------ 16642/795396. ------ 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. ------ 16643/795441. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b ((^y.y) a))) 3. ==[ beta ]==> (((a a) a)(b ((^y.y) a))) 4. ==[ alpha ]==> (((a a) a)(b ((^x.x) a))) 5. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 16644/795468. ------ 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)(a (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 16645/795477. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 16646/795504. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a) b)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a) b)) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 16647/795522. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.z)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 16648/795531. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^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. ------ 16649/795585. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 16650/795603. ------ 1. ==[ start ]==> ((a (^a.b))(c b)) 2. ==[ alpha ]==> ((a (^x.b))(c b)) REDUCED to normal form. ------ 16651/795621. ------ 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. ------ 16652/795648. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) a)) 7. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 16653/795675. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (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. ------ 16654/795702. ------ 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)))) 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. ------ 16655/795729. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 7. ==[ beta ]==> ((a (^x.x))(^z.a)) 8. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 16656/795774. ------ 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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 16657/795783. ------ 1. ==[ start ]==> ((a (a b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 16658/795792. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.b)((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.b)((a a)(a (^y.y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 16659/795936. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y)) a)) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 16660/795954. ------ 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)(a a))) REDUCED to normal form. ------ 16661/795963. ------ 1. ==[ start ]==> (((a b) a)((^a.a) b)) 2. ==[ alpha ]==> (((a b) a)((^x.x) b)) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 16662/795981. ------ 1. ==[ start ]==> (((^a.a)(a b))(b a)) 2. ==[ alpha ]==> (((^x.x)(a b))(b a)) 3. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 16663/795990. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 16664/796008. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 16665/796044. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 16666/796062. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(a a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 16667/796070. ------ 1. ==[ start ]==> (^a.((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (^x.((x (x x))(^y.(y y)))) REDUCED to normal form. ------ 16668/796071. ------ 1. ==[ start ]==> (a ((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (a ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 16669/796164. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> ((^x.(^y.(^z.z))) a) 4. ==[ beta ]==> (^y.(^z.z)) 5. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16670/798246. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a))) b) 2. ==[ alpha ]==> (((^x.(x x))(a (a a))) b) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 16671/798255. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a))) a) 2. ==[ alpha ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 16672/798261. ------ 1. ==[ start ]==> ((^a.a)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))(^y.(y y))) 4. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 16673/798270. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 16674/798288. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.x1)))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 16675/798315. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 16676/798351. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16677/798354. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a z))) 3. ==[ eta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 16678/798396. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) a) b)) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 16679/798513. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^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. ------ 16680/798552. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(z b))) 3. ==[ beta ]==> ((^y.y)(^z.(z b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 16681/798855. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a (^x1.x1))(^y1.(^z1.z1)))((a (^x2.x2))(^y2.(^z2.z2))))) REDUCED to normal form. ------ 16682/798894. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 16683/799056. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 16684/799065. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 16685/799218. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 16686/799353. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.((^a.a)(^a.a)))) 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 ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16687/799638. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((a (a a))(^x.x))((a (a a))(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 16688/799731. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(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)))) REDUCED to normal form. ------ 16689/799839. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 16690/799848. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 (x1 x1)))) REDUCED to normal form. ------ 16691/799971. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 16692/800151. ------ 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. ------ 16693/800244. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(a (^x1.x1)))) IRREDUCIBLE: cycle. ------ 16694/800307. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 16695/800334. ------ 1. ==[ start ]==> (((a b) a)(^c.(a a))) 2. ==[ alpha ]==> (((a b) a)(^x.(a a))) REDUCED to normal form. ------ 16696/800352. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 16697/800379. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(a a))) 3. ==[ beta ]==> ((^y.y)(^z.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 16698/800415. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 16699/800433. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 16700/800442. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 16701/800454. ------ 1. ==[ start ]==> ((a a)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a a)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 16702/800463. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 16703/800481. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 16704/800490. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 16705/800508. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 16706/800517. ------ 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 16707/800544. ------ 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. ------ 16708/800562. ------ 1. ==[ start ]==> (((a a)(a a))((a b) a)) REDUCED to normal form. ------ 16709/800589. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a) b)) REDUCED to normal form. ------ 16710/800625. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(^a.a))(^b.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. ------ 16711/800652. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 16712/800679. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 16713/800706. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^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. ------ 16714/800742. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a (a b))) 3. ==[ beta ]==> ((^y.y)(a (a b))) 4. ==[ alpha ]==> ((^x.x)(a (a b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 16715/800751. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b) a)) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 16716/800823. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (a a)) a)) REDUCED to normal form. ------ 16717/800850. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a (a a)))) REDUCED to normal form. ------ 16718/800877. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 16719/800895. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((^y.y)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 16720/800904. ------ 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. ------ 16721/800967. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 16722/800994. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 16723/801021. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(x x)))) REDUCED to normal form. ------ 16724/801048. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 16725/801057. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 7. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16726/801084. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a a) a)) 6. ==[ alpha ]==> ((^x.x)((a a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 16727/801138. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^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. ------ 16728/801165. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^y.a))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 16729/801192. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 16730/801201. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (a (a a)))) REDUCED to normal form. ------ 16731/801228. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 16732/801255. ------ 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. ------ 16733/801291. ------ 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. ------ 16734/801363. ------ 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 b)((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 16735/801408. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16736/801435. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 16737/801489. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 7. ==[ beta ]==> ((^y.a)((^z.z) a)) 8. ==[ alpha ]==> ((^x.a)((^y.y) a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 16738/801498. ------ 1. ==[ start ]==> (((a (a a)) b)(c d)) REDUCED to normal form. ------ 16739/801543. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16740/801570. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a))(^a.a))) 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. ------ 16741/801624. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 16742/801660. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (a (a a)))) 5. ==[ beta ]==> ((^y.y)(b (a (a a)))) 6. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 16743/801696. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 16744/801723. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(b b)) REDUCED to normal form. ------ 16745/801750. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a) c)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a) c)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a) c)) 5. ==[ beta ]==> ((a a)((^y.a) c)) 6. ==[ alpha ]==> ((a a)((^x.a) c)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 16746/801831. ------ 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. ------ 16747/801867. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 16748/801921. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(a (a a)))) 5. ==[ beta ]==> (a ((^z.z)(a (a a)))) 6. ==[ alpha ]==> (a ((^x.x)(a (a a)))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 16749/802002. ------ 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))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 16750/802029. ------ 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)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(z1 z1)))) 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. ------ 16751/802038. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (a (a a)))) REDUCED to normal form. ------ 16752/802065. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (a a))) REDUCED to normal form. ------ 16753/802092. ------ 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)))) REDUCED to normal form. ------ 16754/802119. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16755/802164. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(a a))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 16756/802182. ------ 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. ------ 16757/802209. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.a))) REDUCED to normal form. ------ 16758/802236. ------ 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. ------ 16759/802263. ------ 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)) REDUCED to normal form. ------ 16760/802317. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a) a)) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 16761/802335. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))(a a))) 3. ==[ beta ]==> (b ((a (^y.y))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 16762/802344. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 16763/802353. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(b (^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 16764/802434. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(a (^x1.x1)))) IRREDUCIBLE: cycle. ------ 16765/802497. ------ 1. ==[ start ]==> ((((a a) a) b)(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(a (a (^x.x)))) REDUCED to normal form. ------ 16766/802515. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (^a.a))) 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. ------ 16767/802524. ------ 1. ==[ start ]==> (((a b) a)((a a)(a a))) REDUCED to normal form. ------ 16768/802542. ------ 1. ==[ start ]==> (((^a.a)(a b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 16769/802551. ------ 1. ==[ start ]==> (((a a)(^a.b))(b a)) 2. ==[ alpha ]==> (((a a)(^x.b))(b a)) REDUCED to normal form. ------ 16770/802569. ------ 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)((^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. ------ 16771/802605. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 16772/802623. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a (^a.a))) 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. ------ 16773/802632. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 16774/804825. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a))) b) 2. ==[ alpha ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 16775/804849. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 16776/804930. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16777/804942. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(a b))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(a y))) 3. ==[ eta ]==> (((^x.x) b) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 16778/805131. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 16779/805140. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(y b))) REDUCED to normal form. ------ 16780/805164. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a)(a a))) 3. ==[ eta ]==> ((^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. ------ 16781/805320. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 16782/805335. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 16783/805473. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 16784/805644. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 16785/805659. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16786/805785. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16787/805941. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 16788/806085. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.((^a.a)(^a.a)))) 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))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 16789/806310. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (a (^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(y y)))) REDUCED to normal form. ------ 16790/806427. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 16791/806535. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 16792/806550. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 16793/806706. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.((^a.a) a))) 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. ------ 16794/806730. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(a a))) 3. ==[ beta ]==> (((a (^y.y))(a a)) b) 4. ==[ alpha ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 16795/806886. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 16796/806931. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.b)) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.y)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 16797/806940. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 16798/806994. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 16799/807012. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(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. ------ 16800/807021. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 16801/807051. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 16802/807060. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (a ((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (a ((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (a ((a (a a))(a (a a)))) REDUCED to normal form. ------ 16803/807078. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^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. ------ 16804/807087. ------ 1. ==[ start ]==> (((a a) a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 16805/807114. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 16806/807132. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 16807/807141. ------ 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))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 16808/807168. ------ 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)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 16809/807186. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((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. ------ 16810/807195. ------ 1. ==[ start ]==> (((a a) b)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 16811/807222. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 16812/807249. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 16813/807276. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)(^b.(^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. ------ 16814/807312. ------ 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. ------ 16815/807330. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.b))) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 16816/807339. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a (a b))) REDUCED to normal form. ------ 16817/807366. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(a a))) 3. ==[ beta ]==> ((a a)(((a a) a)(a a))) REDUCED to normal form. ------ 16818/807375. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a) b)) 3. ==[ beta ]==> ((^y.a)((^z.a) b)) 4. ==[ alpha ]==> ((^x.a)((^y.a) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 16819/807402. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16820/807465. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 16821/807492. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.a))) REDUCED to normal form. ------ 16822/807519. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (^z.b))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.b))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.b))) REDUCED to normal form. ------ 16823/807537. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 16824/807627. ------ 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)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 16825/807645. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^y.y))(^z.(^x1.x1)))((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 16826/807672. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 16827/807708. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)(^a.a))) 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. ------ 16828/807726. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> (((^y.y)(^z.z)) b) 8. ==[ alpha ]==> (((^x.x)(^y.y)) b) 9. ==[ beta ]==> ((^y.y) b) 10. ==[ alpha ]==> ((^x.x) b) 11. ==[ beta ]==> b REDUCED to normal form. ------ 16829/807735. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))(^a.(^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. ------ 16830/807762. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 16831/807789. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 16832/807816. ------ 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.(^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. ------ 16833/807861. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 16834/807879. ------ 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. ------ 16835/807906. ------ 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. ------ 16836/807933. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (a (^x.x)))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 16837/807951. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 16838/807960. ------ 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. ------ 16839/807987. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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 (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 16840/808023. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(^y1.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. ------ 16841/808077. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 7. ==[ beta ]==> (((^y.y) a)(^z.a)) 8. ==[ alpha ]==> (((^x.x) a)(^y.a)) 9. ==[ beta ]==> (a (^y.a)) 10. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 16842/808086. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 16843/808113. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 16844/808131. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 16845/808140. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 16846/808158. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 16847/808167. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))(^a.a))) 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. ------ 16848/808194. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.a))(^z.z)) 8. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 16849/808221. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 16850/808248. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 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. ------ 16851/808284. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(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. ------ 16852/808311. ------ 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. ------ 16853/808338. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a (a (^y.y)))) 8. ==[ alpha ]==> ((a a)(a (a (^x.x)))) REDUCED to normal form. ------ 16854/808365. ------ 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. ------ 16855/808392. ------ 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. ------ 16856/808455. ------ 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)(^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. ------ 16857/808509. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)(^z.(z z)))) 5. ==[ beta ]==> (a ((a a)(^z.(z z)))) 6. ==[ alpha ]==> (a ((a a)(^x.(x x)))) REDUCED to normal form. ------ 16858/808545. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.z))) 5. ==[ beta ]==> (b ((^y.(y y))(^z.z))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.y))) 7. ==[ beta ]==> (b ((^y.y)(^y.y))) 8. ==[ alpha ]==> (b ((^x.x)(^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 16859/808572. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 16860/808626. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(y1 y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 16861/808671. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a) b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a) b)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a) b)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a) b)) 7. ==[ beta ]==> ((a a)((^y.a) b)) 8. ==[ alpha ]==> ((a a)((^x.a) b)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 16862/808680. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 16863/808707. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16864/808734. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 16865/808752. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (^x.b))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 16866/808797. ------ 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))(^z.z))(b c)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b c)) REDUCED to normal form. ------ 16867/808878. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(b (a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 16868/808905. ------ 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. ------ 16869/808923. ------ 1. ==[ start ]==> (((^a.b) a)(c (^a.a))) 2. ==[ alpha ]==> (((^x.b) a)(c (^y.y))) 3. ==[ beta ]==> (b (c (^y.y))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 16870/808932. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(a a))) REDUCED to normal form. ------ 16871/808941. ------ 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. ------ 16872/809022. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.(^x1.x1)))) IRREDUCIBLE: cycle. ------ 16873/809085. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(^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. ------ 16874/809103. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 16875/809112. ------ 1. ==[ start ]==> (((a b) a)(b (^a.a))) 2. ==[ alpha ]==> (((a b) a)(b (^x.x))) REDUCED to normal form. ------ 16876/809130. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y) b)) 3. ==[ beta ]==> ((a b)((^y.y) b)) 4. ==[ alpha ]==> ((a b)((^x.x) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 16877/809139. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 16878/809157. ------ 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)(^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. ------ 16879/809193. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 16880/809211. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a) 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. ------ 16881/809220. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 16882/809237. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1) x))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16883/809238. ------ 1. ==[ start ]==> (a ((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 16884/810060. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16885/810618. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^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)))) 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. ------ 16886/811446. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16887/811473. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(a (a a)))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(a (a a)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(a (a a)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 16888/811500. ------ 1. ==[ start ]==> ((^a.b)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 16889/811548. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 16890/811557. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(a b))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(a x))) 3. ==[ eta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 16891/811581. ------ 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 (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 16892/811698. ------ 1. ==[ start ]==> ((^a.(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (^x.(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> (^x.(c (^z.z))) 6. ==[ alpha ]==> (^x.(c (^y.y))) REDUCED to normal form. ------ 16893/811746. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.y))) REDUCED to normal form. ------ 16894/812040. ------ 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 (((^y.a)(a (a a)))((^z.a)(a (a a))))) 6. ==[ alpha ]==> (a (((^x.a)(a (a a)))((^y.a)(a (a a))))) 7. ==[ beta ]==> (a (a ((^y.a)(a (a a))))) 8. ==[ alpha ]==> (a (a ((^x.a)(a (a a))))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 16895/812265. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16896/812268. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 16897/812391. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 16898/812403. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.((^a.a)(^a.a)))) 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. ------ 16899/812547. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 16900/812691. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 16901/812823. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((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)))) REDUCED to normal form. ------ 16902/812826. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 16903/813033. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.d)) REDUCED to normal form. ------ 16904/813231. ------ 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. ------ 16905/813312. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 16906/813336. ------ 1. ==[ start ]==> ((^a.(a b))(c (^a.a))) 2. ==[ alpha ]==> ((^x.(x b))(c (^y.y))) 3. ==[ beta ]==> ((c (^y.y)) b) 4. ==[ alpha ]==> ((c (^x.x)) b) REDUCED to normal form. ------ 16907/813492. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.b)) 2. ==[ alpha ]==> ((((a a) a) b)(^x.b)) REDUCED to normal form. ------ 16908/813510. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(a (^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)))) REDUCED to normal form. ------ 16909/813537. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(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. ------ 16910/813546. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.b)) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 16911/813600. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 16912/813618. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(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. ------ 16913/813627. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 16914/813657. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 16915/813675. ------ 1. ==[ start ]==> (((^a.a) a)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (a ((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (a ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 16916/813684. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 16917/813702. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 16918/813711. ------ 1. ==[ start ]==> ((a b)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 16919/813756. ------ 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. ------ 16920/813765. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)(a b))) 3. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 16921/813783. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a b) a)) 3. ==[ beta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 16922/813792. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 16923/813810. ------ 1. ==[ start ]==> (((a a) b)(((a a) a) b)) REDUCED to normal form. ------ 16924/813909. ------ 1. ==[ start ]==> ((a (^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.a))(c (^z.z))) 4. ==[ alpha ]==> ((a (^x.a))(c (^y.y))) REDUCED to normal form. ------ 16925/813954. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.b)) REDUCED to normal form. ------ 16926/813990. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.a)(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 16927/814017. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a (^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. ------ 16928/814026. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 16929/814071. ------ 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. ------ 16930/814098. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1))((^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. ------ 16931/814197. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(a (^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. ------ 16932/814224. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((a (a a))(a ((^y.y) a))) 8. ==[ alpha ]==> ((a (a a))(a ((^x.x) a))) 9. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 16933/814242. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(a (^y.(y y)))) 6. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 16934/814251. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(a (a a)))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 16935/814323. ------ 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. ------ 16936/814350. ------ 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. ------ 16937/814449. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a 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. ------ 16938/814476. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 16939/814602. ------ 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 (^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 16940/814611. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 16941/814701. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a (a a)) b)(a (^y.a))) 4. ==[ alpha ]==> (((a (a a)) b)(a (^x.a))) REDUCED to normal form. ------ 16942/814728. ------ 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. ------ 16943/814755. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 16944/814782. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 16945/814809. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a)) b)) 3. ==[ beta ]==> ((a (^y.a))((a (a a)) b)) 4. ==[ alpha ]==> ((a (^x.a))((a (a a)) b)) REDUCED to normal form. ------ 16946/814899. ------ 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)(^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. ------ 16947/815007. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(y y)))) 5. ==[ beta ]==> ((a a)(b (^y.(y y)))) 6. ==[ alpha ]==> ((a a)(b (^x.(x x)))) REDUCED to normal form. ------ 16948/815034. ------ 1. ==[ start ]==> ((a ((a a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 16949/815160. ------ 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. ------ 16950/815187. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a) b)) 3. ==[ beta ]==> ((((a a) a) a)(a b)) REDUCED to normal form. ------ 16951/815232. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 16952/815268. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z)) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y)) a)) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 16953/815286. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(a a))) 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. ------ 16954/815295. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a) b)) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 16955/815385. ------ 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. ------ 16956/815412. ------ 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.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 16957/815439. ------ 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. ------ 16958/815466. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 16959/815493. ------ 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.(^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. ------ 16960/815520. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.a)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.a)) REDUCED to normal form. ------ 16961/815538. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a) a)) 2. ==[ alpha ]==> (((^x.b) a)((^y.a) a)) 3. ==[ beta ]==> (b ((^y.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 16962/815547. ------ 1. ==[ start ]==> ((a (a b))(c (^a.a))) 2. ==[ alpha ]==> ((a (a b))(c (^x.x))) REDUCED to normal form. ------ 16963/815556. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(a a))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(a a))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 16964/815637. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b b)) IRREDUCIBLE: cycle. ------ 16965/815700. ------ 1. ==[ start ]==> ((((a a) a) b)((a a) b)) REDUCED to normal form. ------ 16966/815718. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (a (^a.a)))) 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. ------ 16967/815727. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 16968/815745. ------ 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. ------ 16969/815754. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y) b)) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 16970/815772. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 16971/815808. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 16972/815826. ------ 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))) REDUCED to normal form. ------ 16973/815835. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a) 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. ------ 16974/815861. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(^x1.x))) 3. ==[ beta ]==> (^x.((^z.z)(^x1.x))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.x))) 5. ==[ beta ]==> (^x.(^z.x)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 16975/815862. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (a (((^x.x)(^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. ------ 16976/816360. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 16977/816684. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16978/817575. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 16979/818073. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a)) a) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a)) a) 3. ==[ beta ]==> (((^y.y)(^z.a)) a) 4. ==[ alpha ]==> (((^x.x)(^y.a)) a) 5. ==[ beta ]==> ((^y.a) a) 6. ==[ alpha ]==> ((^x.a) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 16980/818079. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 16981/818088. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 16982/818106. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(^y.(y y)))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 16983/818133. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 16984/818169. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16985/818214. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b) a)) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 16986/818331. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)(^b.(^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. ------ 16987/818403. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b) a)) 3. ==[ eta ]==> ((^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. ------ 16988/818574. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (^z.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 16989/818577. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.b))) REDUCED to normal form. ------ 16990/818673. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((((^z.z) a)(^x1.(x1 x1)))(((^y1.y1) a)(^z1.(z1 z1))))) 5. ==[ beta ]==> ((a (^y.(y y)))((((^z.z) a)(^x1.(x1 x1)))(((^y1.y1) a)(^z1.(z1 z1))))) 6. ==[ alpha ]==> ((a (^x.(x x)))((((^y.y) a)(^z.(z z)))(((^x1.x1) a)(^y1.(y1 y1))))) 7. ==[ beta ]==> ((a (^x.(x x)))((a (^z.(z z)))(((^x1.x1) a)(^y1.(y1 y1))))) 8. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(y y)))(((^z.z) a)(^x1.(x1 x1))))) 9. ==[ beta ]==> ((a (^x.(x x)))((a (^y.(y y)))(a (^x1.(x1 x1))))) 10. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(y y)))(a (^z.(z z))))) REDUCED to normal form. ------ 16991/818898. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(^c.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. ------ 16992/818901. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 16993/819198. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.((^a.a)(^a.a)))) 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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 16994/819693. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(z (z z)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(z (z z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y (y y)))) REDUCED to normal form. ------ 16995/819789. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (^z.(z z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 16996/819792. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 16997/819963. ------ 1. ==[ start ]==> (((^a.b) a)(^a.((^a.a) a))) 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. ------ 16998/819969. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(x b))((^y.a) a)) 3. ==[ beta ]==> (((^y.a) a) b) 4. ==[ alpha ]==> (((^x.a) a) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 16999/820143. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 17000/820152. ------ 1. ==[ start ]==> (((a b) a)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 17001/820179. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 17002/820197. ------ 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)(^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. ------ 17003/820233. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 17004/820251. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(^a.a))) 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. ------ 17005/820260. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 17006/820287. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.z)) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 17007/820299. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^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. ------ 17008/820308. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 17009/820326. ------ 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. ------ 17010/820335. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 17011/820353. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 17012/820362. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 17013/820389. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 17014/820407. ------ 1. ==[ start ]==> (((a a)(a a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))((a a)(^x.b))) REDUCED to normal form. ------ 17015/820434. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b) a)) REDUCED to normal form. ------ 17016/820443. ------ 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. ------ 17017/820497. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 17018/820524. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^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. ------ 17019/820551. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 17020/820587. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 17021/820623. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b) a)) 3. ==[ beta ]==> ((a a)((^y.b) a)) 4. ==[ alpha ]==> ((a a)((^x.b) a)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 17022/820668. ------ 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 (^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. ------ 17023/820695. ------ 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. ------ 17024/820722. ------ 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. ------ 17025/820749. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 17026/820776. ------ 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. ------ 17027/820794. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.b))) REDUCED to normal form. ------ 17028/820812. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 17029/820839. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 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. ------ 17030/820866. ------ 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. ------ 17031/820893. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) 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. ------ 17032/820902. ------ 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 ((^y.a)(a (a a)))) 8. ==[ alpha ]==> (a ((^x.a)(a (a a)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 17033/820929. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^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. ------ 17034/821010. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))(^a.(^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. ------ 17035/821037. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 17036/821091. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a))(^b.(^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. ------ 17037/821100. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b ((^y.y)(^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. ------ 17038/821118. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(^c.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. ------ 17039/821163. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 17040/821208. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 17041/821253. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17042/821334. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 8. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 9. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 17043/821388. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17044/821415. ------ 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)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17045/821469. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 17046/821568. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z)) 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. ------ 17047/821595. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z)) b)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z)) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y)) b)) 5. ==[ beta ]==> ((a a)((^y.(y y)) b)) 6. ==[ alpha ]==> ((a a)((^x.(x x)) b)) 7. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 17048/821622. ------ 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. ------ 17049/821712. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(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. ------ 17050/821766. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 17051/821847. ------ 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)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 17052/821874. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17053/821883. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b a)) REDUCED to normal form. ------ 17054/821910. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a (a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(a (a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (a (a a)))) REDUCED to normal form. ------ 17055/821937. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (a a))) REDUCED to normal form. ------ 17056/821964. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17057/821991. ------ 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)(^x.x))((a a) a)) REDUCED to normal form. ------ 17058/822009. ------ 1. ==[ start ]==> ((a (^a.b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(a (^y.(y y)))) REDUCED to normal form. ------ 17059/822027. ------ 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. ------ 17060/822054. ------ 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 (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 17061/822081. ------ 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. ------ 17062/822108. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) a) a)) 3. ==[ beta ]==> (((a (a a)) 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. ------ 17063/822135. ------ 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)) REDUCED to normal form. ------ 17064/822180. ------ 1. ==[ start ]==> (((^a.b) a)(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)(a ((^y.y) a))) 3. ==[ beta ]==> (b (a ((^y.y) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 17065/822189. ------ 1. ==[ start ]==> ((a (a b))((^b.a) a)) 2. ==[ alpha ]==> ((a (a b))((^x.a) a)) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 17066/822198. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.z))) 3. ==[ beta ]==> ((^y.b)(c (^z.z))) 4. ==[ alpha ]==> ((^x.b)(c (^y.y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 17067/822279. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(a a))) IRREDUCIBLE: cycle. ------ 17068/822342. ------ 1. ==[ start ]==> ((((a a) a) b)(b (a a))) REDUCED to normal form. ------ 17069/822360. ------ 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 ((^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. ------ 17070/822369. ------ 1. ==[ start ]==> (((a b) a)(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)(a (a (^x.x)))) REDUCED to normal form. ------ 17071/822387. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (^a.a))) 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. ------ 17072/822396. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(a a))) REDUCED to normal form. ------ 17073/822414. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (^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. ------ 17074/822450. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 17075/822468. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (a a))(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. ------ 17076/822477. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 17077/822504. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a a)) 3. ==[ beta ]==> (((^y.y)(^z.a))(a a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a a)) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 17078/822840. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(z b))) 3. ==[ eta ]==> ((^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. ------ 17079/824406. ------ 1. ==[ start ]==> ((^a.(a b))(^a.((^a.a) a))) 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. ------ 17080/824724. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a)) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a)) b) 3. ==[ beta ]==> (((^y.y)(^z.a)) b) 4. ==[ alpha ]==> (((^x.x)(^y.a)) b) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 17081/824748. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^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. ------ 17082/824868. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(a z))) 3. ==[ eta ]==> (((^x.(^y.y)) a) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 17083/825063. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (a b))) 3. ==[ eta ]==> ((^y.y)(a (a b))) 4. ==[ alpha ]==> ((^x.x)(a (a b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 17084/825066. ------ 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))) REDUCED to normal form. ------ 17085/825408. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((a a) a))) 3. ==[ beta ]==> ((a b)(^y.((a a) a))) 4. ==[ alpha ]==> ((a b)(^x.((a a) a))) REDUCED to normal form. ------ 17086/825579. ------ 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. ------ 17087/825684. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((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. ------ 17088/825867. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 17089/826011. ------ 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 (^x.x))(a (a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 17090/826116. ------ 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. ------ 17091/826245. ------ 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. ------ 17092/826353. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 17093/826623. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 17094/826629. ------ 1. ==[ start ]==> ((^a.(a b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))(a ((^y.y) a))) 3. ==[ beta ]==> ((a ((^y.y) a)) b) 4. ==[ alpha ]==> ((a ((^x.x) a)) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 17095/826632. ------ 1. ==[ start ]==> ((a (a b))(^a.((^a.a) a))) 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. ------ 17096/826803. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 17097/826812. ------ 1. ==[ start ]==> (((a b) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 17098/826857. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 17099/826893. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 17100/826920. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 17101/826947. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 17102/826977. ------ 1. ==[ start ]==> ((a (^a.a))(((^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. ------ 17103/826986. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^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 (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 17104/827004. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((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. ------ 17105/827013. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 17106/827031. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 17107/827040. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 17108/827067. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^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. ------ 17109/827094. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(a b))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 17110/827112. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17111/827121. ------ 1. ==[ start ]==> (((a a) b)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a) b)((^x.b)(^y.y))) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 17112/827139. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((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. ------ 17113/827175. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 17114/827202. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 17115/827256. ------ 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)((^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. ------ 17116/827265. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b ((a a) a))) REDUCED to normal form. ------ 17117/827292. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a (a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a (a b))) 3. ==[ beta ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 17118/827301. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b) a)) 3. ==[ beta ]==> ((^y.a)((^z.b) a)) 4. ==[ alpha ]==> ((^x.a)((^y.b) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 17119/827445. ------ 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))) REDUCED to normal form. ------ 17120/827553. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((a a)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((a a)(a ((^y.y) a))) 8. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 17121/827571. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((((^y.y) a)(^z.(z z)))(((^y.y) a)(^z.(z z)))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.(z z)))) 9. ==[ beta ]==> ((a (^x.(x x)))(a (^z.(z z)))) 10. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 17122/827598. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 17123/827634. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)((a a) a))) 3. ==[ beta ]==> ((a b)((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.x)((a a) a))) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 17124/827652. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a) a) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))(((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. ------ 17125/827679. ------ 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. ------ 17126/827688. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))(^a.(^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. ------ 17127/827715. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 17128/827742. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 17129/827769. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 17130/827805. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a ((a a) a))) REDUCED to normal form. ------ 17131/827832. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a a))) 7. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 17132/827859. ------ 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. ------ 17133/827886. ------ 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. ------ 17134/827913. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 17135/828003. ------ 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))(^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. ------ 17136/828012. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a (a a)) b)((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 17137/828039. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)((^z.z) a))) 5. ==[ beta ]==> (a ((^y.a)((^z.z) a))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 17138/828057. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 17139/828066. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 17140/828084. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 17141/828093. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 17142/828120. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a))(^a.a))) 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. ------ 17143/828138. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (a a)) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (a a)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 17144/828147. ------ 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))(^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. ------ 17145/828174. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.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. ------ 17146/828210. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(b (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (a (a a)))) REDUCED to normal form. ------ 17147/828237. ------ 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. ------ 17148/828264. ------ 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. ------ 17149/828291. ------ 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. ------ 17150/828318. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a a)((a (^y.y))((^z.z) a))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y) a))) 7. ==[ beta ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 17151/828345. ------ 1. ==[ start ]==> ((a ((a a) a))((a a)(a (a a)))) REDUCED to normal form. ------ 17152/828381. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 17153/828435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (a ((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 17154/828471. ------ 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. ------ 17155/828498. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)(^y.y))) 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. ------ 17156/828516. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a) a)(((^y.y) a) b)) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a) b)) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 17157/828552. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 17158/828579. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 17159/828597. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z)) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z)) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z)) a)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z)) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y)) a)) 7. ==[ beta ]==> ((a a)((^y.(y y)) a)) 8. ==[ alpha ]==> ((a a)((^x.(x x)) a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 17160/828660. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 17161/828750. ------ 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. ------ 17162/828831. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(b (a (^x.x)))) REDUCED to normal form. ------ 17163/828849. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 17164/828858. ------ 1. ==[ start ]==> ((a (a b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))(a ((^x.x) a))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 17165/828867. ------ 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. ------ 17166/828948. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.x1))) IRREDUCIBLE: cycle. ------ 17167/829011. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 17168/829029. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 17169/829038. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 17170/829056. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 17171/829065. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (^y.y))) REDUCED to normal form. ------ 17172/829083. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z) b)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 17173/829119. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 17174/829137. ------ 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)) REDUCED to normal form. ------ 17175/829146. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)(^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. ------ 17176/829173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a (^z.z))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 17177/829329. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(a z))) 3. ==[ eta ]==> ((^x.(x (^y.y))) a) 4. ==[ beta ]==> (a (^y.y)) 5. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 17178/829518. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.z))) 3. ==[ eta ]==> ((^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. ------ 17179/830904. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 17180/831084. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.a))) 3. ==[ beta ]==> ((^y.(^z.a)) b) 4. ==[ alpha ]==> ((^x.(^y.a)) b) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 17181/831402. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.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. ------ 17182/831453. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) 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. ------ 17183/831480. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 17184/831561. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> (((^z.z)(a b))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.y)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 17185/831564. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(a y))) 3. ==[ eta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 17186/831750. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(^x1.b))) 3. ==[ eta ]==> ((^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. ------ 17187/831753. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.y))) 3. ==[ beta ]==> ((a a)(^y.(^z.y))) 4. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 17188/831762. ------ 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. ------ 17189/831921. ------ 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. ------ 17190/831942. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.b))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.b))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.b))) REDUCED to normal form. ------ 17191/832020. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.(z z))((^x1.x1) a))((^y1.(y1 y1))((^z1.z1) a)))) 5. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.(z z))((^x1.x1) a))((^y1.(y1 y1))((^z1.z1) a)))) 6. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.(z z))((^x1.x1) a))((^y1.(y1 y1))((^z1.z1) a)))) 7. ==[ beta ]==> ((a ((^y.y) a))(((^z.(z z))((^x1.x1) a))((^y1.(y1 y1))((^z1.z1) a)))) 8. ==[ alpha ]==> ((a ((^x.x) a))(((^y.(y y))((^z.z) a))((^x1.(x1 x1))((^y1.y1) a)))) 9. ==[ beta ]==> ((a a)(((^y.(y y))((^z.z) a))((^x1.(x1 x1))((^y1.y1) a)))) 10. ==[ alpha ]==> ((a a)(((^x.(x x))((^y.y) a))((^z.(z z))((^x1.x1) a)))) 11. ==[ beta ]==> ((a a)((((^y.y) a)((^y.y) a))((^z.(z z))((^x1.x1) a)))) 12. ==[ alpha ]==> ((a a)((((^x.x) a)((^y.y) a))((^z.(z z))((^x1.x1) a)))) 13. ==[ beta ]==> ((a a)((a ((^y.y) a))((^z.(z z))((^x1.x1) a)))) 14. ==[ alpha ]==> ((a a)((a ((^x.x) a))((^y.(y y))((^z.z) a)))) 15. ==[ beta ]==> ((a a)((a a)((^y.(y y))((^z.z) a)))) 16. ==[ alpha ]==> ((a a)((a a)((^x.(x x))((^y.y) a)))) 17. ==[ beta ]==> ((a a)((a a)(((^y.y) a)((^y.y) a)))) 18. ==[ alpha ]==> ((a a)((a a)(((^x.x) a)((^y.y) a)))) 19. ==[ beta ]==> ((a a)((a a)(a ((^y.y) a)))) 20. ==[ alpha ]==> ((a a)((a a)(a ((^x.x) a)))) 21. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 17192/832095. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.a))) 3. ==[ beta ]==> ((a b)(^y.(^z.a))) 4. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 17193/832245. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 17194/832266. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.a))) REDUCED to normal form. ------ 17195/832698. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 17196/832803. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(b (^y.(y y)))) 3. ==[ beta ]==> (((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)))) REDUCED to normal form. ------ 17197/832932. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(z z)))) 5. ==[ beta ]==> (b (^y.(^z.(z z)))) 6. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 17198/833058. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(z (z z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(z (z z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(z (z z)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(z (z z)))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 17199/833136. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)((^z.z) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 17200/833139. ------ 1. ==[ start ]==> ((a (^a.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (^x.b))(^y.a)) REDUCED to normal form. ------ 17201/833157. ------ 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. ------ 17202/833238. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 17203/833310. ------ 1. ==[ start ]==> (((^a.b) a)(^c.c)) 2. ==[ alpha ]==> (((^x.b) a)(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 17204/833316. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(^z.a))) 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. ------ 17205/833319. ------ 1. ==[ start ]==> ((a (a b))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.a))) REDUCED to normal form. ------ 17206/833328. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.((^a.a) a))) 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. ------ 17207/833499. ------ 1. ==[ start ]==> (((a b) a)(^c.b)) 2. ==[ alpha ]==> (((a b) a)(^x.b)) REDUCED to normal form. ------ 17208/833517. ------ 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. ------ 17209/833580. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 17210/833598. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.b)) REDUCED to normal form. ------ 17211/833634. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.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. ------ 17212/833682. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^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 ((^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. ------ 17213/833691. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 17214/833709. ------ 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. ------ 17215/833718. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(a (a a)))) 3. ==[ beta ]==> ((a b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 17216/833736. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 17217/833763. ------ 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. ------ 17218/833772. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 17219/833790. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((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. ------ 17220/833799. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(a b))) 3. ==[ beta ]==> ((a (a (^x.x)))(a b)) REDUCED to normal form. ------ 17221/833817. ------ 1. ==[ start ]==> (((a a) b)((a b) a)) REDUCED to normal form. ------ 17222/833844. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a) b)) REDUCED to normal form. ------ 17223/833934. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 17224/833988. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 17225/833997. ------ 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 REDUCED to normal form. ------ 17226/834024. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^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. ------ 17227/834033. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a) b)) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 17228/834060. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 17229/834078. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))((^y.y) a))) 5. ==[ beta ]==> (a ((a (a a))((^y.y) a))) 6. ==[ alpha ]==> (a ((a (a a))((^x.x) a))) 7. ==[ beta ]==> (a ((a (a a)) a)) REDUCED to normal form. ------ 17230/834105. ------ 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. ------ 17231/834159. ------ 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. ------ 17232/834177. ------ 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. ------ 17233/834231. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 17234/834249. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 17235/834258. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)((^y.y) 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. ------ 17236/834330. ------ 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. ------ 17237/834357. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a) a) a)) REDUCED to normal form. ------ 17238/834384. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) b)) 5. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 17239/834411. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (a a)) c)) REDUCED to normal form. ------ 17240/834483. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 17241/834573. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 17242/834618. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 17243/834645. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a a)((^x1.x1)(^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. ------ 17244/834708. ------ 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. ------ 17245/834735. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.a))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.a))) 7. ==[ beta ]==> (a (a (^y.a))) 8. ==[ alpha ]==> (a (a (^x.a))) REDUCED to normal form. ------ 17246/834762. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 17247/834789. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 17248/834816. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.a))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.a))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 17249/834843. ------ 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. ------ 17250/834906. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 17251/834933. ------ 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 (^x.x))(a (a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 17252/835041. ------ 1. ==[ start ]==> ((a ((a a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(b (^x.(x x)))) REDUCED to normal form. ------ 17253/835131. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c c)) 3. ==[ beta ]==> (((^y.a)(^y.a))(c c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c c)) 5. ==[ beta ]==> (a (c c)) REDUCED to normal form. ------ 17254/835167. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) b)((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) b)((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. ------ 17255/835194. ------ 1. ==[ start ]==> ((((a a) a) a)((a (a a)) a)) REDUCED to normal form. ------ 17256/835248. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1)) c)) REDUCED to normal form. ------ 17257/835293. ------ 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)((^y.y) 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. ------ 17258/835302. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y)) a)) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 17259/835329. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17260/835374. ------ 1. ==[ start ]==> ((a (^a.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))((a a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.b))((a a) a)) REDUCED to normal form. ------ 17261/835392. ------ 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. ------ 17262/835419. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 17263/835446. ------ 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. ------ 17264/835473. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 17265/835500. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.z))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 17266/835527. ------ 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)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 17267/835545. ------ 1. ==[ start ]==> (((^a.b) a)((a a) c)) 2. ==[ alpha ]==> (((^x.b) a)((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 17268/835554. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(^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. ------ 17269/835563. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a ((^z.z) a))) 3. ==[ beta ]==> ((^y.b)(a ((^z.z) a))) 4. ==[ alpha ]==> ((^x.b)(a ((^y.y) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 17270/835707. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x)) a)) REDUCED to normal form. ------ 17271/835725. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 17272/835734. ------ 1. ==[ start ]==> (((a b) a)((a a) b)) REDUCED to normal form. ------ 17273/835752. ------ 1. ==[ start ]==> (((^a.a)(a b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(a (a (^y.y)))) 3. ==[ beta ]==> ((a b)(a (a (^y.y)))) 4. ==[ alpha ]==> ((a b)(a (a (^x.x)))) REDUCED to normal form. ------ 17274/835761. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 17275/835779. ------ 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))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 17276/835815. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 17277/835833. ------ 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 (a a)))(a b)) REDUCED to normal form. ------ 17278/835842. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 17279/835869. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.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. ------ 17280/835895. ------ 1. ==[ start ]==> (^a.(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.(((x x) x)(^y.(^z.z)))) REDUCED to normal form. ------ 17281/835896. ------ 1. ==[ start ]==> (a (((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (a (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 17282/837789. ------ 1. ==[ start ]==> ((^a.(a b))(^c.c)) 2. ==[ alpha ]==> ((^x.(x b))(^y.y)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 17283/838134. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a))) a) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 17284/838140. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 17285/838167. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.a))) 5. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 7. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.a))) 8. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.a))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 17286/838194. ------ 1. ==[ start ]==> ((^a.b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((a (a a))(^y.(y y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 17287/838230. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 17288/838275. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(^z.b))) 3. ==[ beta ]==> (((a a)(^z.b))(^y.y)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 17289/838287. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.x)(^y.(^z.z))) 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. ------ 17290/838392. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (^x.((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> (^x.((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 17291/838476. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 17292/838635. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (^z.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 17293/838734. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(((a (a a))(^y.a))((a (a a))(^z.a)))) REDUCED to normal form. ------ 17294/838827. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.((a a) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a) a))) 5. ==[ beta ]==> ((^y.y)(^z.((a a) a))) 6. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 7. ==[ beta ]==> (^y.((a a) a)) 8. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 17295/838959. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 17296/839556. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 17297/839772. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(z z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 17298/839781. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(y (y y)))) REDUCED to normal form. ------ 17299/839850. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 17300/840030. ------ 1. ==[ start ]==> ((^a.(a b))((a a) c)) 2. ==[ alpha ]==> ((^x.(x b))((a a) c)) 3. ==[ beta ]==> (((a a) c) b) REDUCED to normal form. ------ 17301/840033. ------ 1. ==[ start ]==> ((a (a b))(^c.c)) 2. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 17302/840042. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 17303/840123. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.z))) IRREDUCIBLE: cycle. ------ 17304/840186. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.c)) 2. ==[ alpha ]==> ((((a a) a) b)(^x.c)) REDUCED to normal form. ------ 17305/840231. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 17306/840240. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(y (^z.z)))) REDUCED to normal form. ------ 17307/840312. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 17308/840321. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 17309/840348. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 17310/840375. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 17311/840387. ------ 1. ==[ start ]==> ((a a)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 17312/840414. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 17313/840423. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 17314/840441. ------ 1. ==[ start ]==> ((a b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 17315/840450. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((a a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 17316/840477. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 17317/840522. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 17318/840531. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17319/840558. ------ 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)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 17320/840612. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17321/840639. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.a))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 17322/840675. ------ 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)(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. ------ 17323/840720. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((^y.a)((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(^z.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 17324/840756. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)(a a))) REDUCED to normal form. ------ 17325/840783. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(^a.a))(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)((^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. ------ 17326/840810. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.a))((a (a a)) a)) REDUCED to normal form. ------ 17327/840837. ------ 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. ------ 17328/840864. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 17329/840882. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 17330/840927. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 17331/840954. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 17332/840981. ------ 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. ------ 17333/840990. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (((^y.(y y))((^z.z) a))((^y.(y y))((^z.z) a))) 6. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))((^x1.x1) a))) 7. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))((^x1.x1) a))) 8. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))((^x1.x1) a))) 9. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))((^x1.x1) a))) 10. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((^z.z) a))) 11. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) a))) 12. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) a))) 13. ==[ beta ]==> ((a a)(((^y.y) a)((^y.y) a))) 14. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 15. ==[ beta ]==> ((a a)(a ((^y.y) a))) 16. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 17. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 17334/841017. ------ 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))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 17335/841071. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)((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. ------ 17336/841125. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(^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. ------ 17337/841179. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 17338/841206. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^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. ------ 17339/841278. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 17340/841296. ------ 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. ------ 17341/841341. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17342/841368. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 17343/841422. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((^y.(^z.z))(a a)) 8. ==[ alpha ]==> ((^x.(^y.y))(a a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17344/841476. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 7. ==[ beta ]==> ((^y.a)((^z.z) a)) 8. ==[ alpha ]==> ((^x.a)((^y.y) a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 17345/841485. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c d)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c d)) REDUCED to normal form. ------ 17346/841503. ------ 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))(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. ------ 17347/841557. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))(^a.a))) 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. ------ 17348/841683. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) 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. ------ 17349/841710. ------ 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. ------ 17350/841737. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a) c)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a) c)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a) c)) 5. ==[ beta ]==> ((a a)((^y.a) c)) 6. ==[ alpha ]==> ((a a)((^x.a) c)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 17351/841800. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 17352/841854. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (a ((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.a)(a (^y.y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 17353/841935. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.y))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^y.y))) 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. ------ 17354/841962. ------ 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)(^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. ------ 17355/841971. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (a (^x1.x1)))) REDUCED to normal form. ------ 17356/841998. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b ((^z.z) a))) 3. ==[ beta ]==> ((a (^y.(y y)))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(b a)) REDUCED to normal form. ------ 17357/842016. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^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. ------ 17358/842025. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (a (a a)))) REDUCED to normal form. ------ 17359/842052. ------ 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) a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17360/842079. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 17361/842097. ------ 1. ==[ start ]==> ((a (^a.b))(b (^b.a))) 2. ==[ alpha ]==> ((a (^x.b))(b (^y.a))) REDUCED to normal form. ------ 17362/842142. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 17363/842169. ------ 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. ------ 17364/842196. ------ 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. ------ 17365/842223. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) 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. ------ 17366/842250. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x)) b)) REDUCED to normal form. ------ 17367/842268. ------ 1. ==[ start ]==> (((^a.b) a)(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(b (a (^y.y)))) 3. ==[ beta ]==> (b (b (a (^y.y)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 17368/842277. ------ 1. ==[ start ]==> ((a (a b))((a a) c)) REDUCED to normal form. ------ 17369/842286. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.b)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 17370/842367. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a (^z.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.a))) IRREDUCIBLE: cycle. ------ 17371/842430. ------ 1. ==[ start ]==> ((((a a) a) b)(a c)) REDUCED to normal form. ------ 17372/842448. ------ 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 ((^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. ------ 17373/842457. ------ 1. ==[ start ]==> (((a b) a)(b (a a))) REDUCED to normal form. ------ 17374/842475. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 17375/842484. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (a (^y.y)))) REDUCED to normal form. ------ 17376/842502. ------ 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)(b (^z.z))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 17377/842538. ------ 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)) REDUCED to normal form. ------ 17378/842556. ------ 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))(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. ------ 17379/842565. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a b)) REDUCED to normal form. ------ 17380/842592. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a (a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a (a a))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 17381/842619. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 17382/844866. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a))) b) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 17383/844890. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17384/844971. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 17385/845037. ------ 1. ==[ start ]==> (((a a) b)(^b.(a b))) 2. ==[ alpha ]==> (((a a) b)(^x.(a x))) 3. ==[ eta ]==> (((a a) b) a) REDUCED to normal form. ------ 17386/845205. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b ((a a) a))) 3. ==[ eta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 17387/845577. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.((a a) a))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.((a a) a))) REDUCED to normal form. ------ 17388/845748. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.((z z) z))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.((z z) z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.((y y) y))) REDUCED to normal form. ------ 17389/845826. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17390/846036. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.((^a.a)(^a.a)))) 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))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 17391/846180. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(^x.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 17392/846258. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((a (^x.x))((^y.y) a))((a (^z.z))((^x1.x1) a)))((a (^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((((a (^x.x)) a)((a (^z.z))((^x1.x1) a)))((a (^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> ((((a (^x.x)) a)((a (^y.y))((^z.z) a)))((a (^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> ((((a (^x.x)) a)((a (^y.y)) a))((a (^x1.x1))((^y1.y1) a))) 8. ==[ alpha ]==> ((((a (^x.x)) a)((a (^y.y)) a))((a (^z.z))((^x1.x1) a))) 9. ==[ beta ]==> ((((a (^x.x)) a)((a (^y.y)) a))((a (^z.z)) a)) REDUCED to normal form. ------ 17393/846414. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(a (a a)))) REDUCED to normal form. ------ 17394/846522. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 17395/846591. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 17396/846771. ------ 1. ==[ start ]==> ((^a.(a b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(b (a (^y.y)))) 3. ==[ beta ]==> ((b (a (^y.y))) b) 4. ==[ alpha ]==> ((b (a (^x.x))) b) REDUCED to normal form. ------ 17397/846783. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.z)) 3. ==[ beta ]==> ((^y.b)(^z.z)) 4. ==[ alpha ]==> ((^x.b)(^y.y)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 17398/846864. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.c)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.c)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.c)) IRREDUCIBLE: cycle. ------ 17399/846927. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 17400/846972. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.b)) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.b)) 3. ==[ beta ]==> ((a b)(^y.b)) 4. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 17401/846981. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 17402/847035. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 17403/847062. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 17404/847089. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 17405/847116. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 17406/847146. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 17407/847173. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^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. ------ 17408/847182. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 17409/847200. ------ 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. ------ 17410/847209. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 17411/847227. ------ 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. ------ 17412/847236. ------ 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 a) REDUCED to normal form. ------ 17413/847263. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 17414/847281. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^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 ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17415/847290. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(a b))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(a b))) 3. ==[ beta ]==> (((a a) b)(a b)) REDUCED to normal form. ------ 17416/847308. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 17417/847317. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 17418/847335. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a) b)) 3. ==[ beta ]==> ((a (^y.y))(((a a) a) b)) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a) b)) REDUCED to normal form. ------ 17419/847371. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^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. ------ 17420/847425. ------ 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)((^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. ------ 17421/847461. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b ((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b ((a a) a))) 3. ==[ beta ]==> ((a a)(b ((a a) a))) REDUCED to normal form. ------ 17422/847497. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b) a)) 3. ==[ beta ]==> ((^y.y)((^y1.b) a)) 4. ==[ alpha ]==> ((^x.x)((^y.b) a)) 5. ==[ beta ]==> ((^y.b) a) 6. ==[ alpha ]==> ((^x.b) a) 7. ==[ beta ]==> b REDUCED to normal form. ------ 17423/847551. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) c)) 5. ==[ beta ]==> (a ((^y.(^z.z)) c)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) c)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 17424/847650. ------ 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. ------ 17425/847722. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 17426/847740. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.a))) 5. ==[ beta ]==> (((a (a a))(^y.a))((a (a a))(^y.a))) 6. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 17427/847767. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 17428/847803. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^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. ------ 17429/847830. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)((a a) a)) REDUCED to normal form. ------ 17430/847848. ------ 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. ------ 17431/847875. ------ 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)(((^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. ------ 17432/847884. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 17433/847911. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.a)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 17434/847938. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 17435/847974. ------ 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. ------ 17436/848001. ------ 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. ------ 17437/848028. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(a a))) 7. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 17438/848055. ------ 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. ------ 17439/848082. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 17440/848172. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.x2))) 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. ------ 17441/848181. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 17442/848208. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (a ((^y.(y y))(a (^z.z)))) 6. ==[ alpha ]==> (a ((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> (a ((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> (a ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 17443/848226. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 7. ==[ beta ]==> (((^y.y) a)(^z.a)) 8. ==[ alpha ]==> (((^x.x) a)(^y.a)) 9. ==[ beta ]==> (a (^y.a)) 10. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 17444/848235. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 17445/848253. ------ 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 x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 17446/848262. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 17447/848289. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.a))(^z.z)) 8. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 17448/848307. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) a)) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 17449/848316. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 17450/848343. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 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. ------ 17451/848406. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (a (a a)))) REDUCED to normal form. ------ 17452/848433. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 17453/848460. ------ 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. ------ 17454/848487. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a (a (^y.y)))) 8. ==[ alpha ]==> ((a a)(a (a (^x.x)))) REDUCED to normal form. ------ 17455/848514. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> ((a ((a a) a))((a (^x.x)) a)) REDUCED to normal form. ------ 17456/848604. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 17457/848640. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^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. ------ 17458/848667. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)(a (a a))) REDUCED to normal form. ------ 17459/848685. ------ 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. ------ 17460/848712. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a) b)) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 17461/848721. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 17462/848748. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 17463/848775. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.(z z))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(y y))) REDUCED to normal form. ------ 17464/848847. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 17465/848865. ------ 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. ------ 17466/848946. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b c)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b c)) 3. ==[ beta ]==> (((a (a a)) a)(b c)) REDUCED to normal form. ------ 17467/849018. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 17468/849027. ------ 1. ==[ start ]==> ((a (a b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))(b (a (^x.x)))) REDUCED to normal form. ------ 17469/849036. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a) c)) 3. ==[ beta ]==> ((^y.b)((a a) c)) 4. ==[ alpha ]==> ((^x.b)((a a) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 17470/849180. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(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. ------ 17471/849198. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.z)) a)) 3. ==[ beta ]==> (b ((a (^z.z)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 17472/849207. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 17473/849225. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a) b)) 2. ==[ alpha ]==> (((^x.x)(a b))((a a) b)) 3. ==[ beta ]==> ((a b)((a a) b)) REDUCED to normal form. ------ 17474/849234. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 17475/849252. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 17476/849288. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 17477/849306. ------ 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)))((a a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 17478/849315. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 17479/849342. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 17480/849369. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 17481/849386. ------ 1. ==[ start ]==> (^a.((^a.b)(a a))) 2. ==[ alpha ]==> (^x.((^y.b)(x x))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 17482/849387. ------ 1. ==[ start ]==> (a ((^a.b)(a a))) 2. ==[ alpha ]==> (a ((^x.b)(a a))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 17483/851643. ------ 1. ==[ start ]==> (((^a.b)(a a)) a) 2. ==[ alpha ]==> (((^x.b)(a a)) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 17484/851649. ------ 1. ==[ start ]==> ((^a.a)((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 3. ==[ beta ]==> ((^y.b)(a a)) 4. ==[ alpha ]==> ((^x.b)(a a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 17485/851703. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 17486/851784. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^z.(^x1.x1))((a a) a))(^y.y)) 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. ------ 17487/851805. ------ 1. ==[ start ]==> (((a a) b)(^c.(^a.b))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.b))) REDUCED to normal form. ------ 17488/852012. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(a 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)) REDUCED to normal form. ------ 17489/852144. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 17490/852192. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 17491/852243. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.(^y1.y1))(a (^z1.z1)))((^x2.(^y2.y2))(a (^z2.z2))))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(a (^z1.z1)))((^x2.(^y2.y2))(a (^z2.z2))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2))))) 7. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 8. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17492/852468. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 17493/852516. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.a))) REDUCED to normal form. ------ 17494/852804. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 17495/852948. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 17496/853065. ------ 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))) REDUCED to normal form. ------ 17497/853290. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.d)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.d)) REDUCED to normal form. ------ 17498/853359. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 17499/853407. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 17500/853488. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 17501/853539. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 17502/853695. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 17503/853713. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 17504/853749. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.b)) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.b)) REDUCED to normal form. ------ 17505/853767. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^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. ------ 17506/853803. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 17507/853857. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 17508/853884. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 17509/853902. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.a)) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 17510/853914. ------ 1. ==[ start ]==> ((a a)((^a.b)(a a))) 2. ==[ alpha ]==> ((a a)((^x.b)(a a))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 17511/853932. ------ 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. ------ 17512/853959. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 17513/853968. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 17514/853986. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 17515/854013. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 17516/854022. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 17517/854049. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 17518/854067. ------ 1. ==[ start ]==> (((a a) b)((a a)(^a.b))) 2. ==[ alpha ]==> (((a a) b)((a a)(^x.b))) REDUCED to normal form. ------ 17519/854094. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b) a)) REDUCED to normal form. ------ 17520/854121. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 17521/854184. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 17522/854211. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 17523/854247. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b ((a a) a))) 3. ==[ beta ]==> ((^y.a)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.a)(b ((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 17524/854274. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 17525/854283. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b) a)) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 17526/854328. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(a (^y1.y1)))) 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 ((^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. ------ 17527/854337. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 17528/854355. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (a a))((^x1.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. ------ 17529/854409. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 17530/854427. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.a))) 3. ==[ beta ]==> (((a a) a)(b (^y.a))) 4. ==[ alpha ]==> (((a a) a)(b (^x.a))) REDUCED to normal form. ------ 17531/854454. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.b))) REDUCED to normal form. ------ 17532/854499. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 17533/854508. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 17534/854580. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 17535/854634. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a) a)) REDUCED to normal form. ------ 17536/854661. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 17537/854733. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (a (a a)))) REDUCED to normal form. ------ 17538/854751. ------ 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. ------ 17539/854823. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((b b)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((b b)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 17540/854868. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17541/854895. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.x1))(a (a 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. ------ 17542/854958. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a)) b)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 17543/854985. ------ 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. ------ 17544/855012. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 17545/855039. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 17546/855066. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 17547/855093. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 17548/855120. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a)) b)) 5. ==[ beta ]==> ((^y.y)((a (a a)) b)) 6. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 17549/855156. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 17550/855183. ------ 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 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. ------ 17551/855210. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)(^b.(^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. ------ 17552/855327. ------ 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. ------ 17553/855417. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(^b.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. ------ 17554/855444. ------ 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. ------ 17555/855498. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 17556/855543. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b ((^z.z) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b ((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b ((^z.z) a))) 5. ==[ beta ]==> ((a ((^y.y) a))(b ((^z.z) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b ((^y.y) a))) 7. ==[ beta ]==> ((a a)(b ((^y.y) a))) 8. ==[ alpha ]==> ((a a)(b ((^x.x) a))) 9. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 17557/855579. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17558/855606. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 17559/855624. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 17560/855642. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(b (^x.a))) REDUCED to normal form. ------ 17561/855669. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(z z)))) REDUCED to normal form. ------ 17562/855696. ------ 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. ------ 17563/855723. ------ 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)))) 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. ------ 17564/855750. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 9. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 17565/855777. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 17566/855795. ------ 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)) REDUCED to normal form. ------ 17567/855804. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 17568/855813. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b (a (^z.z)))) 3. ==[ beta ]==> ((^y.b)(b (a (^z.z)))) 4. ==[ alpha ]==> ((^x.b)(b (a (^y.y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 17569/855894. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(a (^z.z)))) IRREDUCIBLE: cycle. ------ 17570/855957. ------ 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. ------ 17571/855975. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 17572/855984. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b) a)((a (^x.x)) a)) REDUCED to normal form. ------ 17573/856002. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (a a))) 2. ==[ alpha ]==> (((^x.x)(a b))(b (a a))) 3. ==[ beta ]==> ((a b)(b (a a))) REDUCED to normal form. ------ 17574/856011. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((a a) b)) REDUCED to normal form. ------ 17575/856029. ------ 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 (^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. ------ 17576/856065. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 17577/856083. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b a)) REDUCED to normal form. ------ 17578/856092. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 17579/856119. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a) a)) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 17580/856146. ------ 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. ------ 17581/856164. ------ 1. ==[ start ]==> (((^a.b)(a a))(a a)) 2. ==[ alpha ]==> (((^x.b)(a a))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 17582/856172. ------ 1. ==[ start ]==> (^a.((a b)(^a.a))) 2. ==[ alpha ]==> (^x.((x b)(^y.y))) REDUCED to normal form. ------ 17583/856173. ------ 1. ==[ start ]==> (a ((a b)(^a.a))) 2. ==[ alpha ]==> (a ((a b)(^x.x))) REDUCED to normal form. ------ 17584/858429. ------ 1. ==[ start ]==> (((^a.b)(a a)) b) 2. ==[ alpha ]==> (((^x.b)(a a)) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 17585/858438. ------ 1. ==[ start ]==> (((a b)(^a.a)) a) 2. ==[ alpha ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 17586/858444. ------ 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. ------ 17587/858453. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 17588/858471. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^y.(^z.z)))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 17589/858498. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 17590/858534. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 17591/858618. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.z)) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 17592/858696. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 17593/858807. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 17594/858816. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(y b))) REDUCED to normal form. ------ 17595/859038. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(^y1.y1)))((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^y.y)(^z.z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))(((^z2.z2)(^x3.x3))(^y3.(^z3.z3))))) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))(((^z2.z2)(^x3.x3))(^y3.(^z3.z3))))) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))(((^y2.y2)(^z2.z2))(^x3.(^y3.y3))))) 7. ==[ beta ]==> ((^y.(^z.z))((((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))(((^y2.y2)(^z2.z2))(^x3.(^y3.y3))))) 8. ==[ alpha ]==> ((^x.(^y.y))((((^z.z)(^x1.x1))(^y1.(^z1.z1)))(((^x2.x2)(^y2.y2))(^z2.(^x3.x3))))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17596/859158. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((a a) a))) 3. ==[ beta ]==> ((a (a a))(^y.((a a) a))) 4. ==[ alpha ]==> ((a (a a))(^x.((a a) a))) REDUCED to normal form. ------ 17597/859263. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 17598/859617. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.((^a.a)(^a.a)))) 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)))(^z.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 17599/859821. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a) c)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a) c)) 3. ==[ beta ]==> ((((^y.a) c)((^y.a) c))((^y.a) c)) 4. ==[ alpha ]==> ((((^x.a) c)((^y.a) c))((^z.a) c)) 5. ==[ beta ]==> ((a ((^y.a) c))((^z.a) c)) 6. ==[ alpha ]==> ((a ((^x.a) c))((^y.a) c)) 7. ==[ beta ]==> ((a a)((^y.a) c)) 8. ==[ alpha ]==> ((a a)((^x.a) c)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 17600/859995. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(a (a a)))) 3. ==[ beta ]==> (((a a) a)(^y.(a (a a)))) 4. ==[ alpha ]==> (((a a) a)(^x.(a (a a)))) REDUCED to normal form. ------ 17601/860112. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(y1 (y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(y1 (y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17602/860154. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 17603/860334. ------ 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) REDUCED to normal form. ------ 17604/860508. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 17605/860517. ------ 1. ==[ start ]==> (((a b) a)(^a.c)) 2. ==[ alpha ]==> (((a b) a)(^x.c)) REDUCED to normal form. ------ 17606/860562. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 17607/860598. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 17608/860616. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 17609/860652. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 17610/860679. ------ 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. ------ 17611/860697. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(^a.a))) 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. ------ 17612/860706. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.a)) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 17613/860718. ------ 1. ==[ start ]==> ((a a)((a b)(^a.a))) 2. ==[ alpha ]==> ((a a)((a b)(^x.x))) REDUCED to normal form. ------ 17614/860727. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(a a))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 17615/860745. ------ 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. ------ 17616/860772. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 17617/860781. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 17618/860808. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 17619/860826. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 17620/860862. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^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. ------ 17621/860889. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(a b))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 17622/860916. ------ 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))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 17623/860970. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 17624/861051. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^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. ------ 17625/861078. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 17626/861087. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (a b))) REDUCED to normal form. ------ 17627/861114. ------ 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. ------ 17628/861141. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 17629/861168. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (a a)) a)) REDUCED to normal form. ------ 17630/861195. ------ 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. ------ 17631/861285. ------ 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. ------ 17632/861312. ------ 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)))((^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. ------ 17633/861321. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 9. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 10. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17634/861348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 7. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 8. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 17635/861402. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17636/861429. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a (a a))((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 17637/861510. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 17638/861537. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 17639/861627. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 17640/861636. ------ 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. ------ 17641/861807. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 8. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 9. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 17642/861834. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 17643/861888. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 17644/862041. ------ 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. ------ 17645/862068. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(z z)) b)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z)) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y)) b)) 5. ==[ beta ]==> ((a a)((^y.(y y)) b)) 6. ==[ alpha ]==> ((a a)((^x.(x x)) b)) 7. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 17646/862095. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a) c)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a) c)) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 17647/862131. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 17648/862185. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(a a))) 5. ==[ beta ]==> (a ((^z.(z z))(a a))) 6. ==[ alpha ]==> (a ((^x.(x x))(a a))) 7. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 17649/862221. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c c)) 3. ==[ beta ]==> (((^y.y) b)(c c)) 4. ==[ alpha ]==> (((^x.x) b)(c c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 17650/862266. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 17651/862293. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17652/862347. ------ 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) a)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.a))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 17653/862356. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(b a)) REDUCED to normal form. ------ 17654/862383. ------ 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. ------ 17655/862410. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (a a))) REDUCED to normal form. ------ 17656/862428. ------ 1. ==[ start ]==> ((a (^a.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 17657/862500. ------ 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. ------ 17658/862527. ------ 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)))) REDUCED to normal form. ------ 17659/862554. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(^z.a))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 17660/862581. ------ 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. ------ 17661/862599. ------ 1. ==[ start ]==> (((^a.b) a)(c (a a))) 2. ==[ alpha ]==> (((^x.b) a)(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 17662/862608. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (a b))((a (^x.x)) b)) REDUCED to normal form. ------ 17663/862617. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 17664/862698. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.(^x1.x1)))) IRREDUCIBLE: cycle. ------ 17665/862761. ------ 1. ==[ start ]==> ((((a a) a) b)(b b)) REDUCED to normal form. ------ 17666/862779. ------ 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 ((^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. ------ 17667/862788. ------ 1. ==[ start ]==> (((a b) a)(a c)) REDUCED to normal form. ------ 17668/862806. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 17669/862815. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (a a))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (a a))) REDUCED to normal form. ------ 17670/862833. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 17671/862869. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 17672/862887. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 17673/862896. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b a)) REDUCED to normal form. ------ 17674/862923. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a b)) 3. ==[ beta ]==> (((^y.y)(^z.a))(a b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a b)) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 17675/862950. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 17676/862968. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (^a.a))) 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. ------ 17677/862977. ------ 1. ==[ start ]==> (((a b)(^a.a))(a a)) 2. ==[ alpha ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 17678/865242. ------ 1. ==[ start ]==> (((^a.b)(a a)) c) 2. ==[ alpha ]==> (((^x.b)(a a)) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 17679/865251. ------ 1. ==[ start ]==> (((a b)(^a.a)) b) 2. ==[ alpha ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 17680/865275. ------ 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. ------ 17681/865356. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 17682/865449. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(a y))) 3. ==[ eta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 17683/865518. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> (^x.((^z.z) c)) 6. ==[ alpha ]==> (^x.((^y.y) c)) 7. ==[ beta ]==> (^x.c) REDUCED to normal form. ------ 17684/865638. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.y))) REDUCED to normal form. ------ 17685/865989. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((a a) a))) REDUCED to normal form. ------ 17686/866160. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.((z z) z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.((y y) y))) REDUCED to normal form. ------ 17687/866211. ------ 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. ------ 17688/866313. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.x))) REDUCED to normal form. ------ 17689/866448. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 17690/866592. ------ 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. ------ 17691/866643. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((((^y.y) a)(a (^z.z)))(((^y.y) a)(a (^z.z))))(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> (((((^x.x) a)(a (^y.y)))(((^z.z) a)(a (^x1.x1))))(((^y1.y1) a)(a (^z1.z1)))) 5. ==[ beta ]==> (((a (a (^y.y)))(((^z.z) a)(a (^x1.x1))))(((^y1.y1) a)(a (^z1.z1)))) 6. ==[ alpha ]==> (((a (a (^x.x)))(((^y.y) a)(a (^z.z))))(((^x1.x1) a)(a (^y1.y1)))) 7. ==[ beta ]==> (((a (a (^x.x)))(a (a (^z.z))))(((^x1.x1) a)(a (^y1.y1)))) 8. ==[ alpha ]==> (((a (a (^x.x)))(a (a (^y.y))))(((^z.z) a)(a (^x1.x1)))) 9. ==[ beta ]==> (((a (a (^x.x)))(a (a (^y.y))))(a (a (^x1.x1)))) 10. ==[ alpha ]==> (((a (a (^x.x)))(a (a (^y.y))))(a (a (^z.z)))) REDUCED to normal form. ------ 17692/866934. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17693/866976. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 17694/867156. ------ 1. ==[ start ]==> ((^a.(a b))(c (a a))) 2. ==[ alpha ]==> ((^x.(x b))(c (a a))) 3. ==[ beta ]==> ((c (a a)) b) REDUCED to normal form. ------ 17695/867330. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 17696/867339. ------ 1. ==[ start ]==> (((a b) a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 17697/867438. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.y)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 17698/867447. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 17699/867474. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a a))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 17700/867501. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 17701/867519. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.a)) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 17702/867528. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 17703/867542. ------ 1. ==[ start ]==> (^a.(^a.(^b.(a a)))) 2. ==[ alpha ]==> (^x.(^y.(^z.(y y)))) REDUCED to normal form. ------ 17704/867543. ------ 1. ==[ start ]==> (a (^a.(^b.(a a)))) 2. ==[ alpha ]==> (a (^x.(^y.(x x)))) REDUCED to normal form. ------ 17705/867558. ------ 1. ==[ start ]==> ((a (^a.a))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 17706/867567. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)(a a))) 3. ==[ beta ]==> (a ((^y.b)(a a))) 4. ==[ alpha ]==> (a ((^x.b)(a a))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 17707/867585. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 17708/867612. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 17709/867621. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 17710/867639. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 17711/867648. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 17712/867675. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 17713/867702. ------ 1. ==[ start ]==> (((a a) b)((^a.(^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. ------ 17714/867720. ------ 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)((a a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 17715/867729. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)(a b)) REDUCED to normal form. ------ 17716/867747. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b) a)) 3. ==[ beta ]==> ((a (^y.y))((a b) a)) 4. ==[ alpha ]==> ((a (^x.x))((a b) a)) REDUCED to normal form. ------ 17717/867756. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 17718/867774. ------ 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) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 17719/867801. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((a (^x.a))((^z.z) c)) 4. ==[ alpha ]==> ((a (^x.a))((^y.y) c)) 5. ==[ beta ]==> ((a (^x.a)) c) REDUCED to normal form. ------ 17720/867837. ------ 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)((^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. ------ 17721/867918. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.b)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.b)) REDUCED to normal form. ------ 17722/867990. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17723/868062. ------ 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) 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. ------ 17724/868089. ------ 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. ------ 17725/868152. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 7. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 8. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 9. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 10. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17726/868179. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 17727/868215. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.a)(a (a a)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 17728/868233. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 17729/868242. ------ 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)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 17730/868269. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 17731/868287. ------ 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)(((a a) a) a)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 17732/868296. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 17733/868323. ------ 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.(^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. ------ 17734/868350. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 17735/868413. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a)(b (^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.y))) REDUCED to normal form. ------ 17736/868440. ------ 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. ------ 17737/868467. ------ 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. ------ 17738/868494. ------ 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. ------ 17739/868503. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17740/868593. ------ 1. ==[ start ]==> (((a (a a)) b)(a (^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)(a (^x.a))) REDUCED to normal form. ------ 17741/868620. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a a))) 5. ==[ beta ]==> (a ((^y.(^z.z))(a a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 17742/868638. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 17743/868647. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 17744/868665. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 17745/868674. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 17746/868701. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 17747/868719. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 17748/868728. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 17749/868755. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))(^a.a))) 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. ------ 17750/868845. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(b (a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b (a (a a)))) 5. ==[ beta ]==> ((a a)(b (a (a a)))) REDUCED to normal form. ------ 17751/868872. ------ 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. ------ 17752/868899. ------ 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. ------ 17753/868926. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> ((a ((a a) a))(a (a (^y.y)))) 4. ==[ alpha ]==> ((a ((a a) a))(a (a (^x.x)))) REDUCED to normal form. ------ 17754/869016. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a))(^z.z))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a))(^z.z))) 5. ==[ beta ]==> (a ((a (a a))(^z.z))) 6. ==[ alpha ]==> (a ((a (a a))(^x.x))) REDUCED to normal form. ------ 17755/869052. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 17756/869079. ------ 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)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 17757/869097. ------ 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. ------ 17758/869124. ------ 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)((a (a a)) a)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 17759/869133. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 17760/869160. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 17761/869187. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^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. ------ 17762/869214. ------ 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)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17763/869259. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a) b)) 2. ==[ alpha ]==> ((a (^x.b))((^y.a) b)) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 17764/869277. ------ 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. ------ 17765/869304. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 17766/869385. ------ 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)) REDUCED to normal form. ------ 17767/869430. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 17768/869439. ------ 1. ==[ start ]==> ((a (a b))(c (a a))) REDUCED to normal form. ------ 17769/869448. ------ 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. ------ 17770/869529. ------ 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. ------ 17771/869592. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 17772/869610. ------ 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 ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 17773/869619. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a b) a)(a (^y.y))) 4. ==[ alpha ]==> (((a b) a)(a (^x.x))) REDUCED to normal form. ------ 17774/869637. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y)) a)) 3. ==[ beta ]==> ((a b)((a (^y.y)) a)) 4. ==[ alpha ]==> ((a b)((a (^x.x)) a)) REDUCED to normal form. ------ 17775/869646. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 17776/869664. ------ 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) b)) 4. ==[ alpha ]==> ((^x.x)((a a) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 17777/869700. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 17778/869718. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y) b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x) b)) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 17779/869727. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 17780/869754. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(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. ------ 17781/869781. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 17782/869799. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a) 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. ------ 17783/869808. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 17784/869823. ------ 1. ==[ start ]==> ((^a.(^b.(a a))) a) 2. ==[ alpha ]==> ((^x.(^y.(x x))) a) 3. ==[ beta ]==> (^y.(a a)) 4. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 17785/869825. ------ 1. ==[ start ]==> (^a.(a (^b.(a a)))) 2. ==[ alpha ]==> (^x.(x (^y.(x x)))) REDUCED to normal form. ------ 17786/869826. ------ 1. ==[ start ]==> (a (a (^b.(a a)))) 2. ==[ alpha ]==> (a (a (^x.(a a)))) REDUCED to normal form. ------ 17787/869829. ------ 1. ==[ start ]==> ((^a.a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 3. ==[ beta ]==> (^y.(^z.(y y))) 4. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 17788/872091. ------ 1. ==[ start ]==> (((a b)(^a.a)) c) 2. ==[ alpha ]==> (((a b)(^x.x)) c) REDUCED to normal form. ------ 17789/872106. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.z)) 3. ==[ beta ]==> (^y.((^z.z)(^z.z))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 17790/872109. ------ 1. ==[ start ]==> ((a (^b.(a a))) a) 2. ==[ alpha ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 17791/872115. ------ 1. ==[ start ]==> ((^a.a)(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 3. ==[ beta ]==> (a (^y.(a a))) 4. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 17792/872118. ------ 1. ==[ start ]==> ((a a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 17793/872142. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)(a a))) 3. ==[ beta ]==> (((^y.b)(a a))((^y.b)(a a))) 4. ==[ alpha ]==> (((^x.b)(a a))((^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. ------ 17794/872169. ------ 1. ==[ start ]==> ((^a.b)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 17795/872250. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^z.a)((^x1.x1)(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.a)((^y.y)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (a (^x1.x1)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 17796/872439. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 17797/872610. ------ 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. ------ 17798/872685. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.b))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.b))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.b))) REDUCED to normal form. ------ 17799/873009. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 17800/873441. ------ 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. ------ 17801/873825. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 17802/873900. ------ 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. ------ 17803/873981. ------ 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))(^x.a)) REDUCED to normal form. ------ 17804/874005. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((^y.a)(^z.z)) b) 4. ==[ alpha ]==> (((^x.a)(^y.y)) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 17805/874188. ------ 1. ==[ start ]==> (((a b) a)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 17806/874206. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.c)) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.c)) 3. ==[ beta ]==> ((a b)(^y.c)) 4. ==[ alpha ]==> ((a b)(^x.c)) REDUCED to normal form. ------ 17807/874296. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 17808/874323. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 17809/874368. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(y y))) 3. ==[ beta ]==> (b (^y.(y y))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 17810/874377. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.a)) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.a)) REDUCED to normal form. ------ 17811/874392. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a a)) 3. ==[ beta ]==> (^y.((a a)(a a))) 4. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 17812/874395. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.a)) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 17813/874407. ------ 1. ==[ start ]==> ((a a)(a (^b.(a a)))) 2. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 17814/874425. ------ 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. ------ 17815/874434. ------ 1. ==[ start ]==> ((a (a a))((^a.b)(a a))) 2. ==[ alpha ]==> ((a (a a))((^x.b)(a a))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 17816/874452. ------ 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. ------ 17817/874461. ------ 1. ==[ start ]==> ((a b)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 17818/874479. ------ 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))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 17819/874506. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 17820/874515. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 17821/874533. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 17822/874542. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 17823/874560. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 17824/874587. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.b))) REDUCED to normal form. ------ 17825/874614. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 17826/874641. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a) b)) REDUCED to normal form. ------ 17827/874677. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 17828/874704. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 17829/874731. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 17830/874740. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 17831/874767. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 17832/874803. ------ 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)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 17833/874821. ------ 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. ------ 17834/874830. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a) b)) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 17835/874848. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^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. ------ 17836/874857. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 17837/874902. ------ 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. ------ 17838/874947. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.a))) REDUCED to normal form. ------ 17839/874974. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(a (^y.b))) 3. ==[ beta ]==> ((a (a a))(a (^y.b))) 4. ==[ alpha ]==> ((a (a a))(a (^x.b))) REDUCED to normal form. ------ 17840/874992. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(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. ------ 17841/875073. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(a (^y.(y y)))) 6. ==[ alpha ]==> ((a b)(a (^x.(x x)))) REDUCED to normal form. ------ 17842/875100. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 17843/875154. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a) a)) REDUCED to normal form. ------ 17844/875181. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^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. ------ 17845/875244. ------ 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. ------ 17846/875271. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.a))(^b.(^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. ------ 17847/875316. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a) a)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 17848/875361. ------ 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. ------ 17849/875388. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) a)((^y1.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. ------ 17850/875442. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 17851/875478. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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 ((^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. ------ 17852/875505. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 17853/875532. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.a))) REDUCED to normal form. ------ 17854/875559. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 17855/875586. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 17856/875613. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 17857/875649. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 17858/875676. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 17859/875703. ------ 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)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 17860/875730. ------ 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. ------ 17861/875820. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1) 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. ------ 17862/875910. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)(^a.(^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. ------ 17863/875937. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 17864/875991. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a)) a)) REDUCED to normal form. ------ 17865/876018. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a) b)) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a) b)) 5. ==[ beta ]==> ((a (^x.(x x)))(a b)) REDUCED to normal form. ------ 17866/876045. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y)) c)) REDUCED to normal form. ------ 17867/876099. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 17868/876117. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a (^x.b))(a (a a))) REDUCED to normal form. ------ 17869/876162. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.a))) REDUCED to normal form. ------ 17870/876189. ------ 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. ------ 17871/876216. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)(a a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)(a a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)(a a))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 17872/876243. ------ 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.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 17873/876270. ------ 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. ------ 17874/876288. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) 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. ------ 17875/876297. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.y))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 17876/876306. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (a a))) 3. ==[ beta ]==> ((^y.b)(c (a a))) 4. ==[ alpha ]==> ((^x.b)(c (a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 17877/876387. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(a a))) IRREDUCIBLE: cycle. ------ 17878/876450. ------ 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. ------ 17879/876468. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 17880/876477. ------ 1. ==[ start ]==> (((a b) a)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 17881/876495. ------ 1. ==[ start ]==> (((^a.a)(a b))(a c)) 2. ==[ alpha ]==> (((^x.x)(a b))(a c)) 3. ==[ beta ]==> ((a b)(a c)) REDUCED to normal form. ------ 17882/876504. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y)) a)) REDUCED to normal form. ------ 17883/876522. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b (a a))) 3. ==[ beta ]==> ((^y.y)(b (a a))) 4. ==[ alpha ]==> ((^x.x)(b (a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 17884/876558. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 17885/876576. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a a)(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 17886/876585. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y) b)) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 17887/876612. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.z))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 17888/876639. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 17889/876657. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (a a))) 2. ==[ alpha ]==> (((^x.b)(a a))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 17890/876666. ------ 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. ------ 17891/876681. ------ 1. ==[ start ]==> ((^a.(^b.(a a))) b) 2. ==[ alpha ]==> ((^x.(^y.(x x))) b) 3. ==[ beta ]==> (^y.(b b)) 4. ==[ alpha ]==> (^x.(b b)) REDUCED to normal form. ------ 17892/876684. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a a)) 2. ==[ alpha ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 17893/876705. ------ 1. ==[ start ]==> ((^a.(^a.a))(^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. ------ 17894/878973. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(^a.a))) 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. ------ 17895/878976. ------ 1. ==[ start ]==> ((a (^b.(a a))) b) 2. ==[ alpha ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 17896/879000. ------ 1. ==[ start ]==> ((^a.(^a.a))(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. ------ 17897/879003. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 17898/879018. ------ 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. ------ 17899/879045. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 17900/879081. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 17901/879126. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^z.z) a)(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 17902/879192. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(a z))) 3. ==[ eta ]==> (((^x.x)(a (^y.y))) a) 4. ==[ beta ]==> ((a (^y.y)) a) 5. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 17903/879243. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 17904/879390. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(y b))) 3. ==[ beta ]==> ((a a)(^y.(y b))) 4. ==[ alpha ]==> ((a a)(^x.(x b))) REDUCED to normal form. ------ 17905/879585. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((((a a) a)(^y.y))(((a a) a)(^z.z)))) REDUCED to normal form. ------ 17906/879732. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 17907/879810. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 17908/879903. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 17909/879936. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 17910/880038. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(^x.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 17911/880368. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y)) b)) 3. ==[ beta ]==> ((((^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)) 5. ==[ beta ]==> (((b b)((^y.(y y)) b))((^z.(z z)) b)) 6. ==[ alpha ]==> (((b b)((^x.(x x)) b))((^y.(y y)) b)) 7. ==[ beta ]==> (((b b)(b b))((^y.(y y)) b)) 8. ==[ alpha ]==> (((b b)(b b))((^x.(x x)) b)) 9. ==[ beta ]==> (((b b)(b b))(b b)) REDUCED to normal form. ------ 17912/880461. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 17913/880569. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 17914/880686. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 17915/880881. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) 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. ------ 17916/881082. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 17917/881091. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.c)) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.c)) REDUCED to normal form. ------ 17918/881145. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 17919/881226. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 17920/881244. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(^a.a))) 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. ------ 17921/881253. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 17922/881268. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (^a.a))) 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. ------ 17923/881271. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 17924/881301. ------ 1. ==[ start ]==> ((a (^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 17925/881319. ------ 1. ==[ start ]==> ((a (a a))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (a a))((a b)(^x.x))) REDUCED to normal form. ------ 17926/881328. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 5. ==[ beta ]==> ((^y.b)(a a)) 6. ==[ alpha ]==> ((^x.b)(a a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 17927/881346. ------ 1. ==[ start ]==> ((a b)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 17928/881382. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 17929/881400. ------ 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. ------ 17930/881427. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 17931/881436. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17932/881463. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 17933/881490. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a b))) 5. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 17934/881517. ------ 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)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 17935/881544. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 17936/881625. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)(^b.(^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. ------ 17937/881661. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b ((a a) a))) REDUCED to normal form. ------ 17938/881688. ------ 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. ------ 17939/881715. ------ 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. ------ 17940/881742. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 17941/881769. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))((a (a a)) a)) REDUCED to normal form. ------ 17942/881886. ------ 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. ------ 17943/881922. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17944/881976. ------ 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))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 17945/882003. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 17946/882030. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a a) a)) 6. ==[ alpha ]==> ((^x.x)((a a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 17947/882084. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))(^a.(^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. ------ 17948/882111. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 17949/882201. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a ((a a) a))) 3. ==[ beta ]==> ((b b)(a ((a a) a))) REDUCED to normal form. ------ 17950/882237. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 17951/882327. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 17952/882336. ------ 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. ------ 17953/882381. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((^y.(^z.z))(a a)) 8. ==[ alpha ]==> ((^x.(^y.y))(a a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17954/882408. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(z z))(a (^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. ------ 17955/882444. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c d)) 3. ==[ beta ]==> ((a (^y.a))(c d)) 4. ==[ alpha ]==> ((a (^x.a))(c d)) REDUCED to normal form. ------ 17956/882462. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 17957/882534. ------ 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)(^y.y))((a (a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a)) b)) REDUCED to normal form. ------ 17958/882642. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 17959/882669. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x)) b)) 3. ==[ beta ]==> ((a ((a a) a))(b b)) REDUCED to normal form. ------ 17960/882705. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.a))) 3. ==[ beta ]==> ((^y.y)(c (^y1.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 17961/882759. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (a (a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 17962/882840. ------ 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)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 17963/882867. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 17964/882921. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 17965/882930. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (a (^y.y)))) REDUCED to normal form. ------ 17966/882957. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b ((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b ((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 17967/882984. ------ 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. ------ 17968/883020. ------ 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. ------ 17969/883101. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 17970/883128. ------ 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.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 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)))) REDUCED to normal form. ------ 17971/883155. ------ 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. ------ 17972/883182. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a) a)) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 17973/883191. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.b)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 17974/883335. ------ 1. ==[ start ]==> ((((a a) a) b)(c a)) REDUCED to normal form. ------ 17975/883353. ------ 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 ((^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. ------ 17976/883362. ------ 1. ==[ start ]==> (((a b) a)(b b)) REDUCED to normal form. ------ 17977/883380. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(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. ------ 17978/883389. ------ 1. ==[ start ]==> (((a a)(^a.b))(a c)) 2. ==[ alpha ]==> (((a a)(^x.b))(a c)) REDUCED to normal form. ------ 17979/883407. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 17980/883443. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 17981/883461. ------ 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 a)))(b (^y.y))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.x))) REDUCED to normal form. ------ 17982/883470. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 17983/883497. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b a)) 3. ==[ beta ]==> (((^y.y)(^z.a))(b a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b a)) 5. ==[ beta ]==> ((^y.a)(b a)) 6. ==[ alpha ]==> ((^x.a)(b a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 17984/883524. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 17985/883542. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)(^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. ------ 17986/883551. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (a a))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (a a))) REDUCED to normal form. ------ 17987/883566. ------ 1. ==[ start ]==> ((^a.(^b.(a a))) c) 2. ==[ alpha ]==> ((^x.(^y.(x x))) c) 3. ==[ beta ]==> (^y.(c c)) 4. ==[ alpha ]==> (^x.(c c)) REDUCED to normal form. ------ 17988/883569. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 17989/883586. ------ 1. ==[ start ]==> (^a.((a a)(a b))) 2. ==[ alpha ]==> (^x.((x x)(x b))) REDUCED to normal form. ------ 17990/883587. ------ 1. ==[ start ]==> (a ((a a)(a b))) REDUCED to normal form. ------ 17991/885867. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.a)) 3. ==[ beta ]==> (^y.((^z.a)(^z.a))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.a))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 17992/885870. ------ 1. ==[ start ]==> ((a (^b.(a a))) c) 2. ==[ alpha ]==> ((a (^x.(a a))) c) REDUCED to normal form. ------ 17993/885888. ------ 1. ==[ start ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 17994/885894. ------ 1. ==[ start ]==> ((^a.a)((a a)(a b))) 2. ==[ alpha ]==> ((^x.x)((a a)(a b))) 3. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 17995/885915. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(y y)))) 3. ==[ beta ]==> (a (^y.(^z.(y y)))) 4. ==[ alpha ]==> (a (^x.(^y.(x x)))) REDUCED to normal form. ------ 17996/885984. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 17997/886104. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a z))) 3. ==[ eta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 17998/886146. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a) b)) 3. ==[ beta ]==> (^y.(((a a) a) b)) 4. ==[ alpha ]==> (^x.(((a a) a) b)) REDUCED to normal form. ------ 17999/886293. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.y))) 3. ==[ beta ]==> ((a a)(^y.(^z.y))) 4. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 18000/886482. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.b))) 3. ==[ beta ]==> ((a a)(^y.(^z.b))) 4. ==[ alpha ]==> ((a a)(^x.(^y.b))) REDUCED to normal form. ------ 18001/886644. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((a a) a))) REDUCED to normal form. ------ 18002/886713. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a)) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18003/886806. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.a))) 3. ==[ beta ]==> ((b b)(^y.(^z.a))) 4. ==[ alpha ]==> ((b b)(^x.(^y.a))) REDUCED to normal form. ------ 18004/886815. ------ 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. ------ 18005/886839. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18006/887103. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.((^a.a)(^a.a)))) 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 ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18007/887247. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(^x.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 18008/887271. ------ 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. ------ 18009/887481. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a (a a)))) REDUCED to normal form. ------ 18010/887589. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 18011/887604. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z)) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 18012/887778. ------ 1. ==[ start ]==> (((^a.b) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((^z.z) a))) 3. ==[ beta ]==> (b (^y.((^z.z) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 18013/887940. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.x))) REDUCED to normal form. ------ 18014/887985. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 18015/887994. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(a (^z.z)))) REDUCED to normal form. ------ 18016/888048. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 18017/888102. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 18018/888129. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 18019/888147. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.a)) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 18020/888156. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 18021/888171. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a) 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. ------ 18022/888174. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.a)) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.a)) REDUCED to normal form. ------ 18023/888192. ------ 1. ==[ start ]==> (((a a)(a b))(^a.a)) 2. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 18024/888204. ------ 1. ==[ start ]==> ((a a)((a a)(a b))) REDUCED to normal form. ------ 18025/888222. ------ 1. ==[ start ]==> (((^a.a) a)(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(a (^y.(a a)))) 3. ==[ beta ]==> (a (a (^y.(a a)))) 4. ==[ alpha ]==> (a (a (^x.(a a)))) REDUCED to normal form. ------ 18026/888240. ------ 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. ------ 18027/888249. ------ 1. ==[ start ]==> (((a a) a)((^a.b)(a a))) 2. ==[ alpha ]==> (((a a) a)((^x.b)(a a))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 18028/888267. ------ 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. ------ 18029/888294. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 18030/888303. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 18031/888330. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 18032/888348. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18033/888357. ------ 1. ==[ start ]==> (((a a) b)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 18034/888384. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 18035/888402. ------ 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))) REDUCED to normal form. ------ 18036/888411. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 18037/888429. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a b) a)) 3. ==[ beta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 18038/888438. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 18039/888456. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a) b)) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a) b)) REDUCED to normal form. ------ 18040/888492. ------ 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)((^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. ------ 18041/888573. ------ 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 (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 18042/888600. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(^z.b))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 18043/888618. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.b) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.b) a)) 5. ==[ beta ]==> (a ((^y.b) a)) 6. ==[ alpha ]==> (a ((^x.b) a)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 18044/888717. ------ 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. ------ 18045/888744. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 18046/888771. ------ 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. ------ 18047/888789. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a (^y.b))) 3. ==[ beta ]==> ((a a)(a (^y.b))) 4. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 18048/888807. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((^y.(y y))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.y))) 5. ==[ beta ]==> ((((a a) a)(^y.y))(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 18049/888834. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^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. ------ 18050/888870. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((a b)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((a b)(a ((^y.y) a))) 8. ==[ alpha ]==> ((a b)(a ((^x.x) a))) 9. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 18051/888888. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 9. ==[ beta ]==> (a (^y.(y y))) 10. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 18052/888897. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 18053/888915. ------ 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. ------ 18054/888924. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))((^x1.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. ------ 18055/888951. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a) a)) REDUCED to normal form. ------ 18056/888996. ------ 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 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. ------ 18057/889005. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 18058/889023. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a)) c)) REDUCED to normal form. ------ 18059/889095. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a (^x.x)))(b (^z.z))) 6. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 18060/889113. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 18061/889122. ------ 1. ==[ start ]==> (((a (a a))(a a))(a ((a a) a))) REDUCED to normal form. ------ 18062/889149. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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 (^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 18063/889158. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18064/889248. ------ 1. ==[ start ]==> (((a (a a)) b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 18065/889293. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18066/889302. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 18067/889320. ------ 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. ------ 18068/889329. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 18069/889356. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 18070/889374. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 18071/889383. ------ 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. ------ 18072/889410. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18073/889527. ------ 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. ------ 18074/889554. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 18075/889581. ------ 1. ==[ start ]==> ((a ((a a) a))((a (a a))(a a))) REDUCED to normal form. ------ 18076/889617. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) c)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 18077/889707. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(a a))) 5. ==[ beta ]==> (b ((^y.(y y))(a a))) 6. ==[ alpha ]==> (b ((^x.(x x))(a a))) 7. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 18078/889734. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 18079/889752. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 18080/889779. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(y1 y1)))) 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. ------ 18081/889788. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 18082/889815. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 8. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 18083/889833. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) a) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a) b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a) b)) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a) b)) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a) b)) 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. ------ 18084/889842. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 18085/889869. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^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. ------ 18086/889896. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(z z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 18087/889914. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y)) a)) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 18088/889932. ------ 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. ------ 18089/889959. ------ 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 (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 18090/889986. ------ 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. ------ 18091/890067. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b c)) REDUCED to normal form. ------ 18092/890085. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.y)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 18093/890103. ------ 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. ------ 18094/890184. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a) a)) IRREDUCIBLE: cycle. ------ 18095/890247. ------ 1. ==[ start ]==> ((((a a) a) b)(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)(a (^x.a))) REDUCED to normal form. ------ 18096/890265. ------ 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 ((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 18097/890274. ------ 1. ==[ start ]==> (((a b) a)((^a.(^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. ------ 18098/890292. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 18099/890301. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 18100/890319. ------ 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)((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. ------ 18101/890355. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 18102/890373. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y)) 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. ------ 18103/890382. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 18104/890409. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 18105/890436. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 18106/890454. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a) a)) 2. ==[ alpha ]==> (((^x.b)(a a))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 18107/890463. ------ 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. ------ 18108/890481. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) a)) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 18109/890499. ------ 1. ==[ start ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 18110/890507. ------ 1. ==[ start ]==> (^a.(b (^a.b))) 2. ==[ alpha ]==> (^x.(b (^y.b))) REDUCED to normal form. ------ 18111/890508. ------ 1. ==[ start ]==> (a (b (^a.b))) 2. ==[ alpha ]==> (a (b (^x.b))) REDUCED to normal form. ------ 18112/890538. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((^y.(^z.(y y)))(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (^y.((^z.(^x1.(z z)))(^z.(^x1.(z z))))) 6. ==[ alpha ]==> (^x.((^y.(^z.(y y)))(^x1.(^y1.(x1 x1))))) 7. ==[ beta ]==> (^x.(^z.((^x1.(^y1.(x1 x1)))(^x1.(^y1.(x1 x1)))))) 8. ==[ alpha ]==> (^x.(^y.((^z.(^x1.(z z)))(^y1.(^z1.(y1 y1)))))) 9. ==[ beta ]==> (^x.(^y.(^x1.((^y1.(^z1.(y1 y1)))(^y1.(^z1.(y1 y1))))))) 10. ==[ alpha ]==> (^x.(^y.(^z.((^x1.(^y1.(x1 x1)))(^z1.(^x2.(z1 z1))))))) 11. ==[ beta ]==> (^x.(^y.(^z.(^y1.((^z1.(^x2.(z1 z1)))(^z1.(^x2.(z1 z1)))))))) 12. ==[ alpha ]==> (^x.(^y.(^z.(^x1.((^y1.(^z1.(y1 y1)))(^x2.(^y2.(x2 x2)))))))) 13. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^z1.((^x2.(^y2.(x2 x2)))(^x2.(^y2.(x2 x2))))))))) 14. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.((^z1.(^x2.(z1 z1)))(^y2.(^z2.(y2 y2))))))))) 15. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^x2.((^y2.(^z2.(y2 y2)))(^y2.(^z2.(y2 y2)))))))))) 16. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.((^x2.(^y2.(x2 x2)))(^z2.(^x3.(z2 z2)))))))))) 17. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^y2.((^z2.(^x3.(z2 z2)))(^z2.(^x3.(z2 z2))))))))))) 18. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.((^y2.(^z2.(y2 y2)))(^x3.(^y3.(x3 x3))))))))))) 19. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^z2.((^x3.(^y3.(x3 x3)))(^x3.(^y3.(x3 x3)))))))))))) 20. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.((^z2.(^x3.(z2 z2)))(^y3.(^z3.(y3 y3)))))))))))) 21. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^x3.((^y3.(^z3.(y3 y3)))(^y3.(^z3.(y3 y3))))))))))))) 22. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.((^x3.(^y3.(x3 x3)))(^z3.(^x4.(z3 z3))))))))))))) 23. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^y3.((^z3.(^x4.(z3 z3)))(^z3.(^x4.(z3 z3)))))))))))))) 24. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.((^y3.(^z3.(y3 y3)))(^x4.(^y4.(x4 x4)))))))))))))) 25. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^z3.((^x4.(^y4.(x4 x4)))(^x4.(^y4.(x4 x4))))))))))))))) 26. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.((^z3.(^x4.(z3 z3)))(^y4.(^z4.(y4 y4))))))))))))))) 27. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^x4.((^y4.(^z4.(y4 y4)))(^y4.(^z4.(y4 y4)))))))))))))))) 28. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.((^x4.(^y4.(x4 x4)))(^z4.(^x5.(z4 z4)))))))))))))))) 29. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^y4.((^z4.(^x5.(z4 z4)))(^z4.(^x5.(z4 z4))))))))))))))))) 30. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.((^y4.(^z4.(y4 y4)))(^x5.(^y5.(x5 x5))))))))))))))))) 31. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^z4.((^x5.(^y5.(x5 x5)))(^x5.(^y5.(x5 x5)))))))))))))))))) 32. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.((^z4.(^x5.(z4 z4)))(^y5.(^z5.(y5 y5)))))))))))))))))) 33. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.(^x5.((^y5.(^z5.(y5 y5)))(^y5.(^z5.(y5 y5))))))))))))))))))) 34. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.(^z4.((^x5.(^y5.(x5 x5)))(^z5.(^x6.(z5 z5))))))))))))))))))) 35. ==[ 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)))))))))))))))))))) UNREDUCED: maximal number of reductions reached. ------ 18113/891105. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.b))) 3. ==[ beta ]==> ((^y.(^z.b))((^y.(^z.b))(^y.(^z.b)))) 4. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.b))(^y1.(^z1.b)))) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 18114/892221. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(z (z z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 18115/892401. ------ 1. ==[ start ]==> ((^a.(a b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((^z.z) a))) 3. ==[ beta ]==> ((^y.((^z.z) a)) b) 4. ==[ alpha ]==> ((^x.((^y.y) a)) b) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 18116/892788. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(z z))) 3. ==[ beta ]==> (^y.((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (^x.((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (^x.((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> (^x.((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 18117/892809. ------ 1. ==[ start ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 18118/892824. ------ 1. ==[ start ]==> ((^a.a)(b (^a.b))) 2. ==[ alpha ]==> ((^x.x)(b (^y.b))) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 18119/892833. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 18120/892851. ------ 1. ==[ start ]==> ((^a.(a a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(a (^y.(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (^y.(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 18121/892854. ------ 1. ==[ start ]==> ((a (a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 18122/892878. ------ 1. ==[ start ]==> ((^a.b)((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.b)((^y.b)(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 18123/892959. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((^z.(z z))(a (a a)))(^y.y)) 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. ------ 18124/893148. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ eta ]==> ((^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. ------ 18125/893241. ------ 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))) REDUCED to normal form. ------ 18126/893319. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 18127/893418. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (^y.b))) 3. ==[ beta ]==> ((a (^y.b))((a (^y.b))(a (^y.b)))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.b))(a (^z.b)))) REDUCED to normal form. ------ 18128/893421. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.b))) REDUCED to normal form. ------ 18129/893574. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.a))) REDUCED to normal form. ------ 18130/893745. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.a))) REDUCED to normal form. ------ 18131/894177. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 18132/894294. ------ 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)))) REDUCED to normal form. ------ 18133/894411. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 18134/894534. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 18135/894537. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(y (y y)))) REDUCED to normal form. ------ 18136/894636. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 18137/894708. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 18138/894714. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)((^z.z) a))) 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. ------ 18139/894717. ------ 1. ==[ start ]==> ((a (a b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))(^x.((^y.y) a))) 3. ==[ beta ]==> ((a (a b))(^x.a)) REDUCED to normal form. ------ 18140/894807. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.((^a.a) a))) 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. ------ 18141/894870. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.c)) 2. ==[ alpha ]==> ((((a a) a) b)(^x.c)) REDUCED to normal form. ------ 18142/894924. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 18143/894978. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 18144/894996. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(x (^y.y)))) REDUCED to normal form. ------ 18145/895032. ------ 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. ------ 18146/895077. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.b)) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 18147/895086. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.a)) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.a)) REDUCED to normal form. ------ 18148/895101. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(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. ------ 18149/895104. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 18150/895122. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 18151/895143. ------ 1. ==[ start ]==> ((a a)(b (^a.b))) 2. ==[ alpha ]==> ((a a)(b (^x.b))) REDUCED to normal form. ------ 18152/895152. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(a b))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(a b))) REDUCED to normal form. ------ 18153/895170. ------ 1. ==[ start ]==> ((a (a a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))(a (^x.(a a)))) REDUCED to normal form. ------ 18154/895188. ------ 1. ==[ start ]==> (((a a) a)((a b)(^a.a))) 2. ==[ alpha ]==> (((a a) a)((a b)(^x.x))) REDUCED to normal form. ------ 18155/895197. ------ 1. ==[ start ]==> ((a b)((^a.b)(a a))) 2. ==[ alpha ]==> ((a b)((^x.b)(a a))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 18156/895215. ------ 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. ------ 18157/895242. ------ 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 ((^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. ------ 18158/895251. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 18159/895269. ------ 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)((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. ------ 18160/895278. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 18161/895296. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 18162/895350. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 18163/895377. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b) a)) REDUCED to normal form. ------ 18164/895431. ------ 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)(((^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. ------ 18165/895440. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 18166/895467. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 18167/895557. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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. ------ 18168/895566. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b) a)) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 18169/895584. ------ 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. ------ 18170/895620. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 18171/895638. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a (^x.(x x)))((a (a a)) a)) REDUCED to normal form. ------ 18172/895710. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b (^y.a))) 3. ==[ beta ]==> ((a (a a))(b (^y.a))) 4. ==[ alpha ]==> ((a (a a))(b (^x.a))) REDUCED to normal form. ------ 18173/895737. ------ 1. ==[ start ]==> ((a (a (a a)))(a (^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))(a (^x.b))) REDUCED to normal form. ------ 18174/895809. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (a a))(^y.a))) 3. ==[ beta ]==> ((a b)((a (a a))(^y.a))) 4. ==[ alpha ]==> ((a b)((a (a a))(^x.a))) REDUCED to normal form. ------ 18175/895836. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) 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. ------ 18176/895863. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 18177/895890. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.a))) REDUCED to normal form. ------ 18178/895917. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 18179/895944. ------ 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. ------ 18180/895980. ------ 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. ------ 18181/896007. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 18182/896034. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 18183/896097. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^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. ------ 18184/896124. ------ 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. ------ 18185/896178. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (a a)))) 7. ==[ beta ]==> ((a (^y.y))(a (a a))) 8. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 18186/896241. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 18187/896268. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 18188/896295. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a (^x.a))(a (^z.a))) 6. ==[ alpha ]==> ((a (^x.a))(a (^y.a))) REDUCED to normal form. ------ 18189/896322. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 18190/896349. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 18191/896385. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^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. ------ 18192/896412. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 18193/896439. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 18194/896466. ------ 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. ------ 18195/896493. ------ 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)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 18196/896556. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 18197/896610. ------ 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. ------ 18198/896646. ------ 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. ------ 18199/896673. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 18200/896727. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 18201/896754. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (a a)) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((a (a a)) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a)) a)) REDUCED to normal form. ------ 18202/896781. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a) b)) 3. ==[ beta ]==> (((a (a a))(^x.a))(a b)) REDUCED to normal form. ------ 18203/896853. ------ 1. ==[ start ]==> ((a (^a.b))(a (a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))(a (a (a a)))) REDUCED to normal form. ------ 18204/896925. ------ 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. ------ 18205/896952. ------ 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. ------ 18206/896979. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(a a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 18207/897006. ------ 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. ------ 18208/897024. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) a)((a a)(^y.a))) 3. ==[ beta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 18209/897033. ------ 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))((^y.y) a)) 4. ==[ alpha ]==> ((a (a b))((^x.x) a)) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 18210/897123. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a ((^z.z) a))) IRREDUCIBLE: cycle. ------ 18211/897186. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a) c)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x) c)) 3. ==[ beta ]==> ((((a a) a) b) c) REDUCED to normal form. ------ 18212/897204. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 18213/897213. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 18214/897231. ------ 1. ==[ start ]==> (((^a.a)(a b))(b b)) 2. ==[ alpha ]==> (((^x.x)(a b))(b b)) 3. ==[ beta ]==> ((a b)(b b)) REDUCED to normal form. ------ 18215/897240. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 18216/897294. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 18217/897312. ------ 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)))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a (a (^x.x)))) REDUCED to normal form. ------ 18218/897321. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z)) 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. ------ 18219/897348. ------ 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. ------ 18220/897375. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 18221/897393. ------ 1. ==[ start ]==> (((^a.b)(a a))(a b)) 2. ==[ alpha ]==> (((^x.b)(a a))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 18222/897402. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a) a)) 2. ==[ alpha ]==> (((a b)(^x.x))((a a) a)) REDUCED to normal form. ------ 18223/897420. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (a a))) REDUCED to normal form. ------ 18224/897438. ------ 1. ==[ start ]==> (((a a)(a b))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(a b))(a (^x.x))) REDUCED to normal form. ------ 18225/899169. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 18226/899349. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.a))) 3. ==[ beta ]==> ((^y.(^z.a)) b) 4. ==[ alpha ]==> ((^x.(^y.a)) b) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 18227/899736. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(^a.a))) 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. ------ 18228/899757. ------ 1. ==[ start ]==> (((a a)(a b)) c) REDUCED to normal form. ------ 18229/899790. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18230/899820. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^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. ------ 18231/899835. ------ 1. ==[ start ]==> ((^a.b)((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.b)((a b)(^y.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 18232/899916. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^z.(z z)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 18233/900009. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(a z))) 3. ==[ eta ]==> (((^x.(^y.y))(a a)) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 18234/900033. ------ 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))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 18235/900198. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.y))) 5. ==[ beta ]==> (a (^y.(^z.y))) 6. ==[ alpha ]==> (a (^x.(^y.x))) REDUCED to normal form. ------ 18236/900207. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(y b))) REDUCED to normal form. ------ 18237/900387. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.b))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.b))) 5. ==[ beta ]==> ((^y.(^z.b))(^y.(^z.b))) 6. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.b))) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 18238/900600. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18239/901158. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((^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)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) a))((^y1.(^z1.z1)) a)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.(^y1.y1)) a)) 7. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.(^y1.y1)) a)) 8. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) a)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 11. ==[ beta ]==> ((^y.(^z.z)) a) 12. ==[ alpha ]==> ((^x.(^y.y)) a) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18240/901491. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 18241/901494. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 18242/901671. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))((a a)(^y.a))) 3. ==[ beta ]==> (((a a)(^y.a)) b) 4. ==[ alpha ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 18243/901674. ------ 1. ==[ start ]==> ((a (a b))(^c.(^b.a))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.a))) REDUCED to normal form. ------ 18244/901683. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.b)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.b)(^y.((^z.z) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 18245/901764. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.a))) IRREDUCIBLE: cycle. ------ 18246/901827. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 18247/901845. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 18248/901899. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 18249/901953. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 18250/901962. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 18251/901989. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a a))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 18252/902034. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(a a))) 3. ==[ beta ]==> (b (^y.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 18253/902043. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.b)) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.b)) REDUCED to normal form. ------ 18254/902058. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(^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. ------ 18255/902061. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 18256/902079. ------ 1. ==[ start ]==> (((a a)(a b))(^b.a)) 2. ==[ alpha ]==> (((a a)(a b))(^x.a)) REDUCED to normal form. ------ 18257/902118. ------ 1. ==[ start ]==> ((a (^a.a))(b (^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.b))) REDUCED to normal form. ------ 18258/902127. ------ 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. ------ 18259/902145. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(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. ------ 18260/902163. ------ 1. ==[ start ]==> ((a b)((a b)(^a.a))) 2. ==[ alpha ]==> ((a b)((a b)(^x.x))) REDUCED to normal form. ------ 18261/902172. ------ 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))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 18262/902217. ------ 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))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.a)) 6. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 18263/902244. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 18264/902253. ------ 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 ]==> ((^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. ------ 18265/902280. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 18266/902307. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 18267/902334. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)(a b))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 18268/902361. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 18269/902379. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a) b)) REDUCED to normal form. ------ 18270/902442. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 18271/902469. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 18272/902478. ------ 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 (^x.x)) b)(c (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.y))) REDUCED to normal form. ------ 18273/902505. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b ((a a) a))) 3. ==[ beta ]==> ((a a)(b ((a a) a))) REDUCED to normal form. ------ 18274/902523. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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))) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 18275/902532. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (a b))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (a b))) REDUCED to normal form. ------ 18276/902559. ------ 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. ------ 18277/902586. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^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. ------ 18278/902694. ------ 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. ------ 18279/902712. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (^z.b))) 3. ==[ beta ]==> ((^y.(y y))(a (^z.b))) 4. ==[ alpha ]==> ((^x.(x x))(a (^y.b))) 5. ==[ beta ]==> ((a (^y.b))(a (^y.b))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.b))) REDUCED to normal form. ------ 18280/902739. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 18281/902793. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 8. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 9. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 10. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 11. ==[ beta ]==> (a ((^y.y) a)) 12. ==[ alpha ]==> (a ((^x.x) a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 18282/902820. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(a (a a)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 18283/902847. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^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. ------ 18284/902928. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 18285/903018. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 18286/903153. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 18287/903180. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (a ((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 18288/903225. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18289/903279. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 18290/903351. ------ 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)(^y.y))(((^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. ------ 18291/903378. ------ 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. ------ 18292/903486. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 18293/903576. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (^z.(z z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (^z.(z z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (^z.(z z)))) 5. ==[ beta ]==> (a (b (^z.(z z)))) 6. ==[ alpha ]==> (a (b (^x.(x x)))) REDUCED to normal form. ------ 18294/903657. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 18295/903684. ------ 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.(^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. ------ 18296/903738. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.z))) 7. ==[ beta ]==> ((a a)((^y.(y y))(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(^y.y))) 9. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 18297/903801. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(b a)) REDUCED to normal form. ------ 18298/903819. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.b))(^z.(z z))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(y y))) REDUCED to normal form. ------ 18299/903837. ------ 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. ------ 18300/903864. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 18301/903945. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)(^y1.y1))) 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. ------ 18302/903972. ------ 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. ------ 18303/903990. ------ 1. ==[ start ]==> (((^a.b) a)(b c)) 2. ==[ alpha ]==> (((^x.b) a)(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 18304/903999. ------ 1. ==[ start ]==> ((a (a b))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (a b))((a a)(^x.a))) REDUCED to normal form. ------ 18305/904008. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.b)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.b)((^y.y)((^z.z) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 18306/904089. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.a))) IRREDUCIBLE: cycle. ------ 18307/904152. ------ 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. ------ 18308/904170. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 18309/904179. ------ 1. ==[ start ]==> (((a b) a)(c a)) REDUCED to normal form. ------ 18310/904197. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 18311/904206. ------ 1. ==[ start ]==> (((a a)(^a.b))(b b)) 2. ==[ alpha ]==> (((a a)(^x.b))(b b)) REDUCED to normal form. ------ 18312/904224. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 18313/904260. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 18314/904278. ------ 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)))) 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. ------ 18315/904287. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (a (^y.y)))) REDUCED to normal form. ------ 18316/904314. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(a a))) 5. ==[ beta ]==> ((^y.a)((a a)(a a))) 6. ==[ alpha ]==> ((^x.a)((a a)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 18317/904341. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 18318/904359. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)(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. ------ 18319/904368. ------ 1. ==[ start ]==> (((a b)(^a.a))(a b)) 2. ==[ alpha ]==> (((a b)(^x.x))(a b)) REDUCED to normal form. ------ 18320/904386. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(^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. ------ 18321/904404. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a) a)) 2. ==[ alpha ]==> (((a a)(a b))((^x.x) a)) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 18322/904430. ------ 1. ==[ start ]==> (^a.((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (^x.((x (^y.y))((x x) x))) REDUCED to normal form. ------ 18323/904431. ------ 1. ==[ start ]==> (a ((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (a ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 18324/905379. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 18325/905811. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.((^a.a)(^a.a)))) 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)(^z.z))(^x2.((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 11. ==[ beta ]==> (^x.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18326/906144. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.d)) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.d)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 18327/906711. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.a)) 3. ==[ beta ]==> (^y.((^z.a)(^z.a))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.a))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 18328/906759. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a)) a) 2. ==[ alpha ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 18329/906765. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))((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. ------ 18330/906792. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(a b))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(a b))) 3. ==[ beta ]==> (((a a)(a b))((a a)(a b))) REDUCED to normal form. ------ 18331/906813. ------ 1. ==[ start ]==> (((a a) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 18332/906855. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18333/907002. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a z))) 3. ==[ eta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 18334/907017. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((a b) a)) 3. ==[ beta ]==> (^y.((a b) a)) 4. ==[ alpha ]==> (^x.((a b) a)) REDUCED to normal form. ------ 18335/907191. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 18336/907260. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 18337/907359. ------ 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. ------ 18338/907542. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 18339/907584. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18340/907710. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(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. ------ 18341/907713. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> ((a (^y.y))(^z.((z z) z))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 18342/907866. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 18343/908142. ------ 1. ==[ start ]==> ((^a.((a a) a))(a ((^a.a)(^a.a)))) 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)))) 5. ==[ beta ]==> (((a (^y.y))(a ((^z.z)(^x1.x1))))(a ((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(a ((^y.y)(^z.z))))(a ((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^z.z)))(a ((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z)(^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. ------ 18344/908145. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(^x.(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 18345/908271. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 18346/908379. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(a (a a)))) REDUCED to normal form. ------ 18347/908478. ------ 1. ==[ start ]==> ((a (^a.b))(^c.d)) 2. ==[ alpha ]==> ((a (^x.b))(^y.d)) REDUCED to normal form. ------ 18348/908496. ------ 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. ------ 18349/908655. ------ 1. ==[ start ]==> ((^a.(a b))(b c)) 2. ==[ alpha ]==> ((^x.(x b))(b c)) 3. ==[ beta ]==> ((b c) b) REDUCED to normal form. ------ 18350/908667. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 18351/908829. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 18352/908838. ------ 1. ==[ start ]==> (((a b) a)(^a.(^b.a))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.x))) REDUCED to normal form. ------ 18353/908946. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 18354/909000. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 18355/909018. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(^a.a))) 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. ------ 18356/909027. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 18357/909042. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((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. ------ 18358/909045. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.a)) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.a)) REDUCED to normal form. ------ 18359/909063. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(x x))) REDUCED to normal form. ------ 18360/909090. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 18361/909102. ------ 1. ==[ start ]==> ((a a)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a a)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 18362/909120. ------ 1. ==[ start ]==> (((^a.a) a)(b (^a.b))) 2. ==[ alpha ]==> (((^x.x) a)(b (^y.b))) 3. ==[ beta ]==> (a (b (^y.b))) 4. ==[ alpha ]==> (a (b (^x.b))) REDUCED to normal form. ------ 18363/909129. ------ 1. ==[ start ]==> ((a (a a))((a a)(a b))) REDUCED to normal form. ------ 18364/909147. ------ 1. ==[ start ]==> (((a a) a)(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)(a (^x.(a a)))) REDUCED to normal form. ------ 18365/909165. ------ 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. ------ 18366/909174. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 18367/909192. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 18368/909201. ------ 1. ==[ start ]==> (((^a.a) b)((^c.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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 18369/909228. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18370/909246. ------ 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 ]==> ((^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. ------ 18371/909255. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a a) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 18372/909273. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) a)(^b.(^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. ------ 18373/909282. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 18374/909309. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 18375/909327. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a a)(^z.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^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. ------ 18376/909336. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 18377/909354. ------ 1. ==[ start ]==> ((a (^b.a))((a b) a)) 2. ==[ alpha ]==> ((a (^x.a))((a b) a)) REDUCED to normal form. ------ 18378/909390. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 18379/909471. ------ 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 (^x.x)) b) a) REDUCED to normal form. ------ 18380/909525. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.b)) REDUCED to normal form. ------ 18381/909543. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.b) a)) 3. ==[ beta ]==> ((^y.y)((^x1.b) a)) 4. ==[ alpha ]==> ((^x.x)((^y.b) a)) 5. ==[ beta ]==> ((^y.b) a) 6. ==[ alpha ]==> ((^x.b) a) 7. ==[ beta ]==> b REDUCED to normal form. ------ 18382/909597. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 18383/909615. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a a) 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. ------ 18384/909642. ------ 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. ------ 18385/909669. ------ 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. ------ 18386/909687. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (^y.a))) 3. ==[ beta ]==> ((a a)(b (^y.a))) 4. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 18387/909696. ------ 1. ==[ start ]==> ((a (a (a a)))((a a)((a a) a))) REDUCED to normal form. ------ 18388/909732. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 18389/909768. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 18390/909786. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.a))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.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. ------ 18391/909795. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)((^y.y) 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. ------ 18392/909813. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(x x)))) REDUCED to normal form. ------ 18393/909822. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 18394/909840. ------ 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)((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. ------ 18395/909849. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^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. ------ 18396/909876. ------ 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. ------ 18397/909894. ------ 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)) REDUCED to normal form. ------ 18398/909921. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 18399/910011. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^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. ------ 18400/910020. ------ 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. ------ 18401/910047. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 18402/910056. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18403/910083. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 18404/910146. ------ 1. ==[ start ]==> (((a (a a)) b)(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(c (^x.(x x)))) REDUCED to normal form. ------ 18405/910173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.(^z.z)))) 5. ==[ beta ]==> (a (b (^y.(^z.z)))) 6. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 18406/910200. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 18407/910218. ------ 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)(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18408/910227. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 18409/910254. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.a))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 18410/910272. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.a))) REDUCED to normal form. ------ 18411/910281. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 18412/910308. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18413/910452. ------ 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. ------ 18414/910479. ------ 1. ==[ start ]==> ((a ((a a) a))(a ((^a.a)(^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. ------ 18415/910515. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1)) 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. ------ 18416/910605. ------ 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. ------ 18417/910632. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(a a))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(a a))) REDUCED to normal form. ------ 18418/910650. ------ 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. ------ 18419/910677. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.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. ------ 18420/910686. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 18421/910713. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (a a))) REDUCED to normal form. ------ 18422/910731. ------ 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)((^y.y) 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. ------ 18423/910740. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 18424/910767. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^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. ------ 18425/910794. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 18426/910830. ------ 1. ==[ start ]==> (((a a)((a a) a))(a (a (a a)))) REDUCED to normal form. ------ 18427/910857. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 18428/910884. ------ 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. ------ 18429/910911. ------ 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. ------ 18430/910983. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 18431/910992. ------ 1. ==[ start ]==> ((a (a b))(b c)) REDUCED to normal form. ------ 18432/911001. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.a))) 3. ==[ beta ]==> ((^y.b)((a a)(^z.a))) 4. ==[ alpha ]==> ((^x.b)((a a)(^y.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 18433/911145. ------ 1. ==[ start ]==> ((((a a) a) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 18434/911163. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z) c)) 3. ==[ beta ]==> (b ((^z.z) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 18435/911172. ------ 1. ==[ start ]==> (((a b) a)(a (^b.a))) 2. ==[ alpha ]==> (((a b) a)(a (^x.a))) REDUCED to normal form. ------ 18436/911190. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))(^a.a))) 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. ------ 18437/911199. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 18438/911217. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 18439/911253. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 18440/911271. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a a) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a) b)) REDUCED to normal form. ------ 18441/911280. ------ 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)))) 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. ------ 18442/911307. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (^a.a))) 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. ------ 18443/911334. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 18444/911352. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)(^y.y))) 3. ==[ beta ]==> (b ((a a)(^y.y))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 18445/911361. ------ 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. ------ 18446/911379. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a) a)) REDUCED to normal form. ------ 18447/911397. ------ 1. ==[ start ]==> (((a a)(a b))(a (a a))) REDUCED to normal form. ------ 18448/911424. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(a a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 18449/911490. ------ 1. ==[ start ]==> ((^a.b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(y y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 18450/912381. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18451/912813. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^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)))) 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. ------ 18452/913713. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.b)) 3. ==[ beta ]==> (^y.((^z.b)(^z.b))) 4. ==[ alpha ]==> (^x.((^y.b)(^z.b))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 18453/913761. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a)) b) 2. ==[ alpha ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 18454/913785. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 18455/913803. ------ 1. ==[ start ]==> ((^a.(a a))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(x x))(b (^y.b))) 3. ==[ beta ]==> ((b (^y.b))(b (^y.b))) 4. ==[ alpha ]==> ((b (^x.b))(b (^y.b))) REDUCED to normal form. ------ 18456/913830. ------ 1. ==[ start ]==> ((^a.b)(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)(a (^y.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 18457/913833. ------ 1. ==[ start ]==> ((a b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 18458/913911. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^z.(^x1.x1))((^y1.y1) a))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18459/914100. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.a))) 3. ==[ eta ]==> ((^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. ------ 18460/914220. ------ 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)(^x1.(x1 b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 18461/914271. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 18462/914370. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (^y.a))) 3. ==[ beta ]==> ((b (^y.a))((b (^y.a))(b (^y.a)))) 4. ==[ alpha ]==> ((b (^x.a))((b (^y.a))(b (^z.a)))) REDUCED to normal form. ------ 18463/914724. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 18464/914733. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z) z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18465/915021. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 18466/915153. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(^b.(^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. ------ 18467/915156. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 18468/915486. ------ 1. ==[ start ]==> ((^a.(^a.b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(b ((^z.z) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 18469/915507. ------ 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. ------ 18470/915615. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 18471/915666. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 18472/915840. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 18473/915849. ------ 1. ==[ start ]==> (((a b) a)(^b.c)) 2. ==[ alpha ]==> (((a b) a)(^x.c)) REDUCED to normal form. ------ 18474/916011. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 18475/916038. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 18476/916053. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a b)) 3. ==[ beta ]==> (^y.((a b)(a b))) 4. ==[ alpha ]==> (^x.((a b)(a b))) REDUCED to normal form. ------ 18477/916056. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.b)) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.b)) REDUCED to normal form. ------ 18478/916074. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 18479/916101. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 18480/916131. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 18481/916149. ------ 1. ==[ start ]==> ((a (a a))(b (^a.b))) 2. ==[ alpha ]==> ((a (a a))(b (^x.b))) REDUCED to normal form. ------ 18482/916158. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((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. ------ 18483/916176. ------ 1. ==[ start ]==> ((a b)(a (^b.(a a)))) 2. ==[ alpha ]==> ((a b)(a (^x.(a a)))) REDUCED to normal form. ------ 18484/916194. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 18485/916221. ------ 1. ==[ start ]==> (((^a.a) b)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 18486/916248. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^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. ------ 18487/916257. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 18488/916275. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 18489/916302. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(^z.z)))) REDUCED to normal form. ------ 18490/916356. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.b))) REDUCED to normal form. ------ 18491/916392. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 18492/916410. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 18493/916446. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 18494/916536. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b ((a a) a))) 3. ==[ beta ]==> (((^y.y) a)(b ((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)(b ((a a) a))) 5. ==[ beta ]==> (a (b ((a a) a))) REDUCED to normal form. ------ 18495/916563. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a (a b))) 3. ==[ beta ]==> ((^y.y)(a (a b))) 4. ==[ alpha ]==> ((^x.x)(a (a b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 18496/916572. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 18497/916617. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 18498/916716. ------ 1. ==[ start ]==> ((a (a (a a)))(b (^c.a))) 2. ==[ alpha ]==> ((a (a (a a)))(b (^x.a))) REDUCED to normal form. ------ 18499/916725. ------ 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. ------ 18500/916788. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))(^a.(^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. ------ 18501/916815. ------ 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. ------ 18502/916842. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 18503/916869. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 18504/916923. ------ 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. ------ 18505/916959. ------ 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. ------ 18506/916986. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(^z.a))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.a))) 7. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 18507/917013. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 18508/917040. ------ 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. ------ 18509/917076. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 18510/917103. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(^y1.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. ------ 18511/917157. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((^y.y) a)((^z.z) 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. ------ 18512/917211. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 18513/917247. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 18514/917274. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a))(^a.(^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. ------ 18515/917301. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 18516/917328. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 18517/917364. ------ 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)(^y.y))((^z.z)((^x1.x1)(^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))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 18518/917391. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a))(^a.a))) 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. ------ 18519/917418. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 18520/917445. ------ 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. ------ 18521/917472. ------ 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 y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 18522/917499. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)(^b.(^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. ------ 18523/917535. ------ 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. ------ 18524/917589. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (a ((a (^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (a ((a (^x.x))((^y.y) a))) 7. ==[ beta ]==> (a ((a (^x.x)) a)) REDUCED to normal form. ------ 18525/917652. ------ 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. ------ 18526/917706. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 18527/917733. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 18528/917760. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a)) a)) REDUCED to normal form. ------ 18529/917787. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a) b)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) b)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18530/917832. ------ 1. ==[ start ]==> ((a (^a.b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))(b ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.b))(b a)) REDUCED to normal form. ------ 18531/917850. ------ 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. ------ 18532/917931. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b (^y.a))) 3. ==[ beta ]==> (((a (a a)) a)(b (^y.a))) 4. ==[ alpha ]==> (((a (a a)) a)(b (^x.a))) REDUCED to normal form. ------ 18533/917958. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 18534/917985. ------ 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. ------ 18535/918003. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 18536/918012. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 18537/918021. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b c)) 3. ==[ beta ]==> ((^y.b)(b c)) 4. ==[ alpha ]==> ((^x.b)(b c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 18538/918102. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (a (^z.z)))) IRREDUCIBLE: cycle. ------ 18539/918165. ------ 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)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 18540/918183. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)(a (^z.z)))) 3. ==[ beta ]==> (b ((a a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 18541/918192. ------ 1. ==[ start ]==> (((a b) a)((^a.a) c)) 2. ==[ alpha ]==> (((a b) a)((^x.x) c)) 3. ==[ beta ]==> (((a b) a) c) REDUCED to normal form. ------ 18542/918210. ------ 1. ==[ start ]==> (((^a.a)(a b))(c a)) 2. ==[ alpha ]==> (((^x.x)(a b))(c a)) 3. ==[ beta ]==> ((a b)(c a)) REDUCED to normal form. ------ 18543/918219. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 18544/918237. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 18545/918273. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 18546/918291. ------ 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. ------ 18547/918300. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a) b)) REDUCED to normal form. ------ 18548/918327. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 18549/918354. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 18550/918372. ------ 1. ==[ start ]==> (((^a.b)(a a))(b a)) 2. ==[ alpha ]==> (((^x.b)(a a))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 18551/918381. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 18552/918399. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a b)) 2. ==[ alpha ]==> ((a (^x.(a a)))(a b)) REDUCED to normal form. ------ 18553/918417. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 18554/918444. ------ 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. ------ 18555/918717. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(a z))) 3. ==[ eta ]==> ((^x.(^y.x)) a) 4. ==[ beta ]==> (^y.a) 5. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 18556/920742. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(a a))) 3. ==[ beta ]==> (^y.((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (^x.((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 18557/920880. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 18558/920904. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18559/920949. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))(^y1.a))(^y.y)) 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. ------ 18560/921066. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(a b))) 3. ==[ beta ]==> (^y.((^z.z)(a b))) 4. ==[ alpha ]==> (^x.((^y.y)(a b))) 5. ==[ beta ]==> (^x.(a b)) REDUCED to normal form. ------ 18561/921069. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(a b))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(a y))) 3. ==[ eta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 18562/921258. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 18563/921267. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 b))) REDUCED to normal form. ------ 18564/921447. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 18565/921609. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(^y.((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((a a) a))) REDUCED to normal form. ------ 18566/921633. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18567/921771. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18568/921915. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 18569/922320. ------ 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. ------ 18570/922446. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(a (a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(a (a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 18571/922524. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 18572/922704. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 18573/922887. ------ 1. ==[ start ]==> (((a b) a)(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 18574/922905. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.y))) 3. ==[ beta ]==> ((a b)(^y.(^z.y))) 4. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 18575/922968. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 18576/923022. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 18577/923067. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 18578/923091. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(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. ------ 18579/923094. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 18580/923112. ------ 1. ==[ start ]==> (((a a)(a b))(^c.a)) 2. ==[ alpha ]==> (((a a)(a b))(^x.a)) REDUCED to normal form. ------ 18581/923139. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.a)) REDUCED to normal form. ------ 18582/923187. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))((a a) a))) 3. ==[ beta ]==> (a ((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (a ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 18583/923205. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.b))) 3. ==[ beta ]==> ((^y.y)(b (^z.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 18584/923214. ------ 1. ==[ start ]==> (((a a) a)((a a)(a b))) REDUCED to normal form. ------ 18585/923232. ------ 1. ==[ start ]==> (((^a.a)(a a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(a (^y.(a a)))) 3. ==[ beta ]==> ((a a)(a (^y.(a a)))) 4. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 18586/923259. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 18587/923277. ------ 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. ------ 18588/923304. ------ 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))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.a)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.a)) REDUCED to normal form. ------ 18589/923313. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18590/923340. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 18591/923367. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 18592/923394. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18593/923421. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(a b))) 3. ==[ beta ]==> ((a (^x.a))(a b)) REDUCED to normal form. ------ 18594/923439. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a b) a)) REDUCED to normal form. ------ 18595/923466. ------ 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. ------ 18596/923502. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 18597/923529. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(z1 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. ------ 18598/923592. ------ 1. ==[ start ]==> (((a a)(^b.a))(b ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(b ((a a) a))) REDUCED to normal form. ------ 18599/923610. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 18600/923619. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (a b))) REDUCED to normal form. ------ 18601/923646. ------ 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. ------ 18602/923682. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 18603/923754. ------ 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)((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. ------ 18604/923772. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.a))) 3. ==[ beta ]==> ((^y.(y y))(b (^z.a))) 4. ==[ alpha ]==> ((^x.(x x))(b (^y.a))) 5. ==[ beta ]==> ((b (^y.a))(b (^y.a))) 6. ==[ alpha ]==> ((b (^x.a))(b (^y.a))) REDUCED to normal form. ------ 18605/923799. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a (^x1.b))) 3. ==[ beta ]==> ((^y.y)(a (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 18606/923853. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18607/923880. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((a (a a))(a ((^y.y) a))) 8. ==[ alpha ]==> ((a (a a))(a ((^x.x) a))) 9. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 18608/923907. ------ 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))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 18609/923961. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a a)(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. ------ 18610/923988. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 18611/924006. ------ 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. ------ 18612/924078. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c (a (a a)))) 3. ==[ beta ]==> ((b b)(c (a (a a)))) REDUCED to normal form. ------ 18613/924123. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(^c.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. ------ 18614/924213. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) 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. ------ 18615/924240. ------ 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. ------ 18616/924258. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 18617/924267. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 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. ------ 18618/924339. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^x1.x1))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 18619/924411. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 18620/924438. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 18621/924465. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a)) b)) 3. ==[ beta ]==> ((a ((^y.y) a))((a (a a)) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (a a)) b)) 5. ==[ beta ]==> ((a a)((a (a a)) b)) REDUCED to normal form. ------ 18622/924636. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (^z.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (^z.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (^z.a))) 5. ==[ beta ]==> (a (c (^z.a))) 6. ==[ alpha ]==> (a (c (^x.a))) REDUCED to normal form. ------ 18623/924672. ------ 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. ------ 18624/924717. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(a a))) 5. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 18625/924744. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 18626/924753. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c c)) REDUCED to normal form. ------ 18627/924798. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(a (a a)))) 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. ------ 18628/924879. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 18629/924924. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 18630/924951. ------ 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. ------ 18631/925032. ------ 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. ------ 18632/925050. ------ 1. ==[ start ]==> (((^a.b) a)(c b)) 2. ==[ alpha ]==> (((^x.b) a)(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 18633/925059. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 18634/925068. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 18635/925149. ------ 1. ==[ start ]==> (((^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.z1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) IRREDUCIBLE: cycle. ------ 18636/925212. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(a a))) REDUCED to normal form. ------ 18637/925230. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 18638/925239. ------ 1. ==[ start ]==> (((a b) a)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 18639/925257. ------ 1. ==[ start ]==> (((^a.a)(a b))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(a (^y.a))) 3. ==[ beta ]==> ((a b)(a (^y.a))) 4. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 18640/925266. ------ 1. ==[ start ]==> (((a a)(^a.b))(c a)) 2. ==[ alpha ]==> (((a a)(^x.b))(c a)) REDUCED to normal form. ------ 18641/925284. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 18642/925320. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a c)) REDUCED to normal form. ------ 18643/925338. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^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. ------ 18644/925347. ------ 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. ------ 18645/925374. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a (a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (a (^z.z)))) 6. ==[ alpha ]==> ((^x.a)(a (a (^y.y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 18646/925401. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 18647/925419. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 18648/925428. ------ 1. ==[ start ]==> (((a b)(^a.a))(b a)) 2. ==[ alpha ]==> (((a b)(^x.x))(b a)) REDUCED to normal form. ------ 18649/925446. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a a))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 18650/925464. ------ 1. ==[ start ]==> (((a a)(a b))((a a) a)) REDUCED to normal form. ------ 18651/925491. ------ 1. ==[ start ]==> (((a (^a.a))((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. ------ 18652/925517. ------ 1. ==[ start ]==> (^a.(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y) x)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^x.(x ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (^x.(x ((^y.y)(^z.z)))) 5. ==[ beta ]==> (^x.(x (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 18653/925518. ------ 1. ==[ start ]==> (a (((^a.a) a)((^a.a)(^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)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 18654/925575. ------ 1. ==[ start ]==> ((^a.b)(^c.(a b))) 2. ==[ alpha ]==> ((^x.b)(^y.(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 18655/925773. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.b))) 4. ==[ alpha ]==> (^x.(^y.(^z.b))) REDUCED to normal form. ------ 18656/927798. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(^a.a))) 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. ------ 18657/927873. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^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) REDUCED to normal form. ------ 18658/927879. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 18659/927906. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((a a) a))) 3. ==[ beta ]==> (((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))) REDUCED to normal form. ------ 18660/927933. ------ 1. ==[ start ]==> ((^a.b)((a a)(a b))) 2. ==[ alpha ]==> ((^x.b)((a a)(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 18661/927936. ------ 1. ==[ start ]==> ((a b)(^c.(a b))) 2. ==[ alpha ]==> ((a b)(^x.(a b))) REDUCED to normal form. ------ 18662/927954. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 18663/927969. ------ 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. ------ 18664/928131. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(^z.b))) 3. ==[ beta ]==> (^y.((a a)(^z.b))) 4. ==[ alpha ]==> (^x.((a a)(^y.b))) REDUCED to normal form. ------ 18665/928134. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 18666/928332. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.x1))) REDUCED to normal form. ------ 18667/928473. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a (^x1.x1))((^y1.y1)(^z1.z1)))((a (^x2.x2))((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> (((a (^x.x))(^z.z))(((a (^x1.x1))((^y1.y1)(^z1.z1)))((a (^x2.x2))((^y2.y2)(^z2.z2))))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a (^z.z))((^x1.x1)(^y1.y1)))((a (^z1.z1))((^x2.x2)(^y2.y2))))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(((a (^z.z))(^y1.y1))((a (^z1.z1))((^x2.x2)(^y2.y2))))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a (^z.z))(^x1.x1))((a (^y1.y1))((^z1.z1)(^x2.x2))))) 9. ==[ beta ]==> (((a (^x.x))(^y.y))(((a (^z.z))(^x1.x1))((a (^y1.y1))(^x2.x2)))) 10. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a (^z.z))(^x1.x1))((a (^y1.y1))(^z1.z1)))) REDUCED to normal form. ------ 18668/928683. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 18669/928698. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18670/928824. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b ((^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. ------ 18671/929256. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(b (a (a a)))) 3. ==[ beta ]==> (((b (a (a a)))(b (a (a a))))(b (a (a a)))) REDUCED to normal form. ------ 18672/929412. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 18673/929520. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 18674/929589. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z)) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 18675/929637. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z (z z)))) REDUCED to normal form. ------ 18676/929769. ------ 1. ==[ start ]==> ((^a.(a b))(c b)) 2. ==[ alpha ]==> ((^x.(x b))(c b)) 3. ==[ beta ]==> ((c b) b) REDUCED to normal form. ------ 18677/929970. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.c)) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.c)) 3. ==[ beta ]==> ((a b)(^y.c)) 4. ==[ alpha ]==> ((a b)(^x.c)) REDUCED to normal form. ------ 18678/929979. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 18679/930033. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 18680/930087. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 18681/930132. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.b)) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 18682/930141. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 18683/930156. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(^a.a))) 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. ------ 18684/930159. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 18685/930177. ------ 1. ==[ start ]==> (((a a)(a b))(^a.b)) 2. ==[ alpha ]==> (((a a)(a b))(^x.b)) REDUCED to normal form. ------ 18686/930204. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(y y))) REDUCED to normal form. ------ 18687/930231. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^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 (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 18688/930243. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)((^a.a)(^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)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 18689/930270. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 18690/930288. ------ 1. ==[ start ]==> (((a a) a)(b (^a.b))) 2. ==[ alpha ]==> (((a a) a)(b (^x.b))) REDUCED to normal form. ------ 18691/930297. ------ 1. ==[ start ]==> ((a b)((a a)(a b))) REDUCED to normal form. ------ 18692/930315. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 18693/930333. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 18694/930342. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.b)(a a))) 3. ==[ beta ]==> (b ((^y.b)(a a))) 4. ==[ alpha ]==> (b ((^x.b)(a a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 18695/930387. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18696/930396. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 18697/930414. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 18698/930423. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 18699/930441. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 18700/930450. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 18701/930477. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 18702/930495. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(^y.b))) REDUCED to normal form. ------ 18703/930531. ------ 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)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 18704/930576. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 18705/930612. ------ 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 (^x.x)) b)((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 18706/930639. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 18707/930666. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^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. ------ 18708/930693. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.b)) REDUCED to normal form. ------ 18709/930756. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((a a) a)(a (^y.y))) 8. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 18710/930783. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 18711/930810. ------ 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. ------ 18712/930837. ------ 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. ------ 18713/930909. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(a a))) 3. ==[ beta ]==> ((a b)((^y.a)(a a))) 4. ==[ alpha ]==> ((a b)((^x.a)(a a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 18714/930927. ------ 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)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 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. ------ 18715/930936. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 18716/930954. ------ 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. ------ 18717/930963. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 18718/930981. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) a)(^y1.(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. ------ 18719/930990. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 18720/931017. ------ 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)(^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. ------ 18721/931044. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a a) a)) REDUCED to normal form. ------ 18722/931062. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 18723/931152. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 18724/931188. ------ 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 (^y.y))(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. ------ 18725/931341. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 18726/931395. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 18727/931413. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 18728/931422. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 18729/931449. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 7. ==[ beta ]==> ((^y.a)((^z.z) a)) 8. ==[ alpha ]==> ((^x.a)((^y.y) a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 18730/931620. ------ 1. ==[ start ]==> ((a ((a a) a))(b (a (a a)))) REDUCED to normal form. ------ 18731/931656. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18732/931710. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a) c)) 5. ==[ beta ]==> (a ((^z.a) c)) 6. ==[ alpha ]==> (a ((^x.a) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 18733/931746. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b (^z.(z z)))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.(y y)))) 5. ==[ beta ]==> (b (b (^y.(y y)))) 6. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 18734/931773. ------ 1. ==[ start ]==> ((((a a) a) a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 18735/931791. ------ 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. ------ 18736/931818. ------ 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)(^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. ------ 18737/931827. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 18738/931854. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 18739/931872. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(^z.(z z)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.(y y)))) 7. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 18740/931881. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (a a))) REDUCED to normal form. ------ 18741/931908. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18742/931935. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(^a.(^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. ------ 18743/931953. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y)) c)) REDUCED to normal form. ------ 18744/931971. ------ 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. ------ 18745/931998. ------ 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 (^x.x))(^z.z))(a (a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a (a a)))) REDUCED to normal form. ------ 18746/932025. ------ 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. ------ 18747/932052. ------ 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)))) REDUCED to normal form. ------ 18748/932079. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))((a a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 18749/932124. ------ 1. ==[ start ]==> (((^a.b) a)((^b.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) REDUCED to normal form. ------ 18750/932133. ------ 1. ==[ start ]==> ((a (a b))(c b)) REDUCED to normal form. ------ 18751/932142. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 18752/932223. ------ 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. ------ 18753/932286. ------ 1. ==[ start ]==> ((((a a) a) b)(c (^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)(c (^x.x))) REDUCED to normal form. ------ 18754/932304. ------ 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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 18755/932313. ------ 1. ==[ start ]==> (((a b) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 18756/932331. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a) 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. ------ 18757/932340. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (^y.a))) REDUCED to normal form. ------ 18758/932358. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a (^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. ------ 18759/932394. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 18760/932412. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(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)) REDUCED to normal form. ------ 18761/932421. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 18762/932448. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 18763/932475. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 18764/932493. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y) b)) 3. ==[ beta ]==> (b ((^y.y) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 18765/932502. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 18766/932520. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 18767/932538. ------ 1. ==[ start ]==> (((a a)(a b))(a b)) REDUCED to normal form. ------ 18768/932565. ------ 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. ------ 18769/932592. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^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 (^y.y))(a a)) 6. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 18770/934956. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a))) b) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z))) b) 3. ==[ beta ]==> ((a ((^y.y)(^z.z))) b) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y))) b) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 18771/934980. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^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. ------ 18772/935025. ------ 1. ==[ start ]==> ((^a.b)(b (^a.b))) 2. ==[ alpha ]==> ((^x.b)(b (^y.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 18773/935244. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(a y))) 3. ==[ eta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 18774/935466. ------ 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. ------ 18775/935604. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 18776/935916. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))(^b.(^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. ------ 18777/935955. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 18778/936243. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 18779/936348. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1))))((^x2.(^y2.y2))(^z2.(z2 z2)))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1))))((^x2.(^y2.y2))(^z2.(z2 z2)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(x1 x1))))((^y1.(^z1.z1))(^x2.(x2 x2)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18780/936387. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18781/936612. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 18782/936681. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (a (^z.z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 18783/936729. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 18784/936837. ------ 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. ------ 18785/936861. ------ 1. ==[ start ]==> ((^a.(a b))((^b.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 b) REDUCED to normal form. ------ 18786/937062. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 18787/937071. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.c)) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.c)) REDUCED to normal form. ------ 18788/937125. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 18789/937179. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 18790/937224. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(a a))) 3. ==[ beta ]==> (b (^y.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 18791/937233. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.b)) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 18792/937248. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b a)) 3. ==[ beta ]==> (^y.((b a)(b a))) 4. ==[ alpha ]==> (^x.((b a)(b a))) REDUCED to normal form. ------ 18793/937269. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(a a))) REDUCED to normal form. ------ 18794/937296. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 18795/937323. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 18796/937353. ------ 1. ==[ start ]==> ((a (^a.a))(((^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. ------ 18797/937380. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((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. ------ 18798/937398. ------ 1. ==[ start ]==> ((a b)(b (^a.b))) 2. ==[ alpha ]==> ((a b)(b (^x.b))) REDUCED to normal form. ------ 18799/937407. ------ 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. ------ 18800/937443. ------ 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. ------ 18801/937452. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)(a a))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 18802/937470. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 18803/937497. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a) b)(^y.a)) 6. ==[ alpha ]==> (((a a) b)(^x.a)) REDUCED to normal form. ------ 18804/937524. ------ 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. ------ 18805/937551. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 18806/937614. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a b)) REDUCED to normal form. ------ 18807/937632. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a b) a)) 3. ==[ beta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 18808/937641. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 18809/937785. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 18810/937821. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.b) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.b) a)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 18811/937839. ------ 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. ------ 18812/937947. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^y.y))((^z.z)(^x1.x1)))((a (^y.y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^z.z))(^y1.y1))) 10. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 18813/937974. ------ 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. ------ 18814/938010. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a) a)(^y.y))) 3. ==[ beta ]==> ((a b)(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((a b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 18815/938037. ------ 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)((^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. ------ 18816/938064. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 18817/938091. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.(z z)))) REDUCED to normal form. ------ 18818/938118. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 18819/938208. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(^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. ------ 18820/938235. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 18821/938262. ------ 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. ------ 18822/938289. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))(^b.(^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. ------ 18823/938298. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 18824/938325. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 18825/938379. ------ 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. ------ 18826/938388. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x)) c)) 3. ==[ beta ]==> (((a (a a)) b)(c c)) REDUCED to normal form. ------ 18827/938433. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (a a)))) 7. ==[ beta ]==> ((a (^y.y))(a (a a))) 8. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 18828/938460. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 18829/938496. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.a))(^z.z)) 8. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 18830/938523. ------ 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. ------ 18831/938550. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 7. ==[ beta ]==> (((^y.y) a)(^z.a)) 8. ==[ alpha ]==> (((^x.x) a)(^y.a)) 9. ==[ beta ]==> (a (^y.a)) 10. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 18832/938586. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^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. ------ 18833/938613. ------ 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)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 18834/938640. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.x1))) 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. ------ 18835/938667. ------ 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. ------ 18836/938694. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 18837/938721. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 18838/938757. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a ((^a.a)(^a.a)))) 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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 18839/938811. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> (a (((^z.z) a)(a (^x1.x1)))) 6. ==[ alpha ]==> (a (((^x.x) a)(a (^y.y)))) 7. ==[ beta ]==> (a (a (a (^y.y)))) 8. ==[ alpha ]==> (a (a (a (^x.x)))) REDUCED to normal form. ------ 18840/938928. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 18841/938955. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 18842/938982. ------ 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. ------ 18843/939009. ------ 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. ------ 18844/939036. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a b)) REDUCED to normal form. ------ 18845/939054. ------ 1. ==[ start ]==> ((a (^a.b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(c (a (^y.y)))) REDUCED to normal form. ------ 18846/939072. ------ 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. ------ 18847/939099. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 18848/939180. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (^z.a))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.a))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 18849/939207. ------ 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. ------ 18850/939225. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 18851/939234. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(a a))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 18852/939243. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c b)) 3. ==[ beta ]==> ((^y.b)(c b)) 4. ==[ alpha ]==> ((^x.b)(c b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 18853/939387. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a) a)) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 18854/939405. ------ 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 ((a (^z.z))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 18855/939414. ------ 1. ==[ start ]==> (((a b) a)((^a.(^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. ------ 18856/939432. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)(a (^y.y)))) 3. ==[ beta ]==> ((a b)((a a)(a (^y.y)))) 4. ==[ alpha ]==> ((a b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 18857/939441. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y) c)) 3. ==[ beta ]==> (((a a)(^x.b)) c) REDUCED to normal form. ------ 18858/939495. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 18859/939522. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 18860/939549. ------ 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 REDUCED to normal form. ------ 18861/939576. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 18862/939594. ------ 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))) REDUCED to normal form. ------ 18863/939603. ------ 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. ------ 18864/939621. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b a)) 2. ==[ alpha ]==> ((a (^x.(a a)))(b a)) REDUCED to normal form. ------ 18865/939639. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(a a))) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 18866/939666. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 18867/939693. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^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 (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 18868/939804. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18869/940533. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.((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. ------ 18870/941991. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 18871/942180. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18872/942183. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 18873/942225. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 18874/942342. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^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. ------ 18875/942414. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a) b)) 3. ==[ eta ]==> ((^y.y)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 18876/942570. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(z b))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z b))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y b))) REDUCED to normal form. ------ 18877/942909. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18878/942912. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 18879/943074. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 18880/943506. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 18881/943641. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.(^b.(^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. ------ 18882/943800. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 18883/943980. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(^z.z))) 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. ------ 18884/944136. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.((^a.a) a))) 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. ------ 18885/944190. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(a (^z.z)))) REDUCED to normal form. ------ 18886/944208. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 18887/944262. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(a (^y.y)))) REDUCED to normal form. ------ 18888/944325. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 18889/944352. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 18890/944367. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 18891/944370. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 18892/944388. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 18893/944442. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^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 (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 18894/944490. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) 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)))) 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. ------ 18895/944517. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 18896/944535. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (^y.b))) 3. ==[ beta ]==> ((a a)(b (^y.b))) 4. ==[ alpha ]==> ((a a)(b (^x.b))) REDUCED to normal form. ------ 18897/944544. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(a b))) REDUCED to normal form. ------ 18898/944562. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 18899/944580. ------ 1. ==[ start ]==> (((a a)(a a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))((a b)(^x.x))) REDUCED to normal form. ------ 18900/944607. ------ 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. ------ 18901/944643. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(^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. ------ 18902/944670. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 18903/944697. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^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. ------ 18904/944724. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^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. ------ 18905/944742. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 18906/944769. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b) a)) REDUCED to normal form. ------ 18907/944796. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a) b)) 3. ==[ beta ]==> ((a a)(((a a) a) b)) REDUCED to normal form. ------ 18908/944805. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 18909/944832. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18910/944886. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 18911/944895. ------ 1. ==[ start ]==> (((a a)(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))(c (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(c (^y.y))) REDUCED to normal form. ------ 18912/944922. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b ((a a) a))) REDUCED to normal form. ------ 18913/944949. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(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. ------ 18914/945012. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 18915/945057. ------ 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. ------ 18916/945102. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b (^x1.a))) 3. ==[ beta ]==> ((^y.y)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 18917/945183. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 18918/945210. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(x1 x1))((^y1.y1) a))) 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. ------ 18919/945264. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 18920/945291. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 18921/945309. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a) a) a)) REDUCED to normal form. ------ 18922/945336. ------ 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)) a)(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z) b)) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) b)) 7. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 18923/945426. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^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. ------ 18924/945516. ------ 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. ------ 18925/945543. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (a (((^y.y) a)((^z.z) a))) 6. ==[ alpha ]==> (a (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (a (a ((^y.y) a))) 8. ==[ alpha ]==> (a (a ((^x.x) a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 18926/945570. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 18927/945588. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 18928/945597. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.z))) REDUCED to normal form. ------ 18929/945642. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 18930/945714. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 18931/945741. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 18932/945768. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((a ((^x.x) 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)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 18933/945795. ------ 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. ------ 18934/945885. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(^b.(^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. ------ 18935/945975. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)((a (^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 (^x.x)) a)) REDUCED to normal form. ------ 18936/946002. ------ 1. ==[ start ]==> ((((a a) a) a)((a a)(a (a a)))) REDUCED to normal form. ------ 18937/946020. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(a (^b.(^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. ------ 18938/946047. ------ 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))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(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. ------ 18939/946101. ------ 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) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 18940/946182. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 18941/946254. ------ 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. ------ 18942/946281. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 18943/946362. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) 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. ------ 18944/946371. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.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. ------ 18945/946452. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.x1))) IRREDUCIBLE: cycle. ------ 18946/946515. ------ 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. ------ 18947/946533. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (^z.z))) 3. ==[ beta ]==> (b (c (^z.z))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 18948/946542. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 18949/946560. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 18950/946569. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(a (^y.y)))) REDUCED to normal form. ------ 18951/946587. ------ 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)(a (^z.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 18952/946623. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 18953/946641. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a (^y.y))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 18954/946677. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b (a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b (a a))) 5. ==[ beta ]==> ((^y.a)(b (a a))) 6. ==[ alpha ]==> ((^x.a)(b (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 18955/946704. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 18956/946722. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (^a.a))) 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. ------ 18957/946731. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 18958/946749. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 18959/946767. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 18960/946794. ------ 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. ------ 18961/946821. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^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 (^y.y))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 18962/946847. ------ 1. ==[ start ]==> (^a.((a (a a))(a (a a)))) 2. ==[ alpha ]==> (^x.((x (x x))(x (x x)))) REDUCED to normal form. ------ 18963/946848. ------ 1. ==[ start ]==> (a ((a (a a))(a (a a)))) REDUCED to normal form. ------ 18964/947670. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18965/949128. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.z)) 3. ==[ beta ]==> (^y.((^z.z)(^z.z))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18966/949230. ------ 1. ==[ start ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 18967/949236. ------ 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. ------ 18968/949263. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^z.z)(^x1.x1)))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a (^x.x))(a ((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 11. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 12. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 18969/949290. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 18970/949338. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(y y)))) 3. ==[ beta ]==> (b (^y.(^z.(y y)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 18971/949488. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (^x.((a (^y.y))(^z.a))) REDUCED to normal form. ------ 18972/949527. ------ 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) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 18973/949716. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.(^a.b))) 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. ------ 18974/949731. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 18975/949830. ------ 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. ------ 18976/949905. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.b))) 3. ==[ beta ]==> ((a b)(^y.(^z.b))) 4. ==[ alpha ]==> ((a b)(^x.(^y.b))) REDUCED to normal form. ------ 18977/950055. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 18978/950058. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 18979/950391. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 18980/950904. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 18981/950946. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 18982/951021. ------ 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. ------ 18983/951120. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 18984/951282. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.a))) REDUCED to normal form. ------ 18985/951354. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 18986/951417. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 18987/951471. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 18988/951513. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z) b)) 3. ==[ beta ]==> (^y.(((^z.z) b)((^z.z) b))) 4. ==[ alpha ]==> (^x.(((^y.y) b)((^z.z) b))) 5. ==[ beta ]==> (^x.(b ((^z.z) b))) 6. ==[ alpha ]==> (^x.(b ((^y.y) b))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 18989/951516. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.b)) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 18990/951561. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.b)) REDUCED to normal form. ------ 18991/951588. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 18992/951615. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^a.a)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 18993/951627. ------ 1. ==[ start ]==> ((a a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 18994/951654. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)((^a.a)(^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. ------ 18995/951681. ------ 1. ==[ start ]==> ((a b)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a b)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 18996/951699. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.b))) REDUCED to normal form. ------ 18997/951726. ------ 1. ==[ start ]==> (((^a.a) b)(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(a (^y.(a a)))) 3. ==[ beta ]==> (b (a (^y.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 18998/951753. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 18999/951771. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19000/951780. ------ 1. ==[ start ]==> (((a a) b)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 19001/951798. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^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. ------ 19002/951807. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 19003/951825. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 19004/951834. ------ 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. ------ 19005/951852. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 19006/951861. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 19007/951879. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 19008/951915. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)(a b))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 19009/951960. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a) b)) 3. ==[ beta ]==> ((^y.a)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.a)(((a a) a) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 19010/951996. ------ 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 (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 19011/952023. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 19012/952050. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 19013/952104. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a (^x.x))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 19014/952122. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b) a)) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 19015/952140. ------ 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. ------ 19016/952167. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(a (^y1.y1)))) 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. ------ 19017/952194. ------ 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. ------ 19018/952221. ------ 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. ------ 19019/952293. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a (^y.b))) 3. ==[ beta ]==> ((a b)(a (^y.b))) 4. ==[ alpha ]==> ((a b)(a (^x.b))) REDUCED to normal form. ------ 19020/952311. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a) a)(^z.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a) a)(^z.z))) 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. ------ 19021/952338. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 19022/952347. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(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. ------ 19023/952365. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 19024/952374. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(a ((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 19025/952401. ------ 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. ------ 19026/952419. ------ 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))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 19027/952428. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 19028/952446. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 19029/952536. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 19030/952662. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^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 ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19031/952725. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.(z z)))) REDUCED to normal form. ------ 19032/952752. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 19033/952779. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (^z.a))) 3. ==[ beta ]==> ((a (^y.a))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.a))) REDUCED to normal form. ------ 19034/952797. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 19035/952806. ------ 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)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 19036/952833. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 8. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 9. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 19037/953094. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z)) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z)) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z)) b)) 5. ==[ beta ]==> (a ((^z.(z z)) b)) 6. ==[ alpha ]==> (a ((^x.(x x)) b)) 7. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 19038/953130. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (^b.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. ------ 19039/953157. ------ 1. ==[ start ]==> ((((a a) a) a)(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(b (^x.(x x)))) REDUCED to normal form. ------ 19040/953202. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 19041/953211. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 19042/953238. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 19043/953256. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^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))) 7. ==[ beta ]==> ((a a)((a (^y.y))(^z.a))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 19044/953265. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^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. ------ 19045/953292. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19046/953319. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^z.z))) 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. ------ 19047/953337. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a) b)) 3. ==[ beta ]==> ((a (^x.b))(a b)) REDUCED to normal form. ------ 19048/953382. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 19049/953409. ------ 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. ------ 19050/953436. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)(a a))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(a a))) 5. ==[ beta ]==> (((a (a a)) a)(a (a a))) REDUCED to normal form. ------ 19051/953463. ------ 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.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 19052/953490. ------ 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. ------ 19053/953508. ------ 1. ==[ start ]==> (((^a.b) a)(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(a (^y.(y y)))) 3. ==[ beta ]==> (b (a (^y.(y y)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 19054/953526. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 19055/953607. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a) a)) IRREDUCIBLE: cycle. ------ 19056/953670. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.a))) 3. ==[ beta ]==> ((((a a) a) b)(^y.a)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.a)) REDUCED to normal form. ------ 19057/953688. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 19058/953697. ------ 1. ==[ start ]==> (((a b) a)(c (^a.a))) 2. ==[ alpha ]==> (((a b) a)(c (^x.x))) REDUCED to normal form. ------ 19059/953715. ------ 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)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 19060/953724. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 19061/953778. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 19062/953796. ------ 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. ------ 19063/953805. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 19064/953832. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19065/953859. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 19066/953877. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (b ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 19067/953886. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 19068/953904. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) b)) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 19069/953922. ------ 1. ==[ start ]==> (((a a)(a b))(b a)) REDUCED to normal form. ------ 19070/953949. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(a b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(a b)) REDUCED to normal form. ------ 19071/953976. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a (a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a (a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 19072/954003. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 19073/954510. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(z b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 19074/955905. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((^y.(^z.(z z))) b) 4. ==[ alpha ]==> ((^x.(^y.(y y))) b) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 19075/956292. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(a a))) 3. ==[ beta ]==> (^y.((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (^x.((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 19076/956394. ------ 1. ==[ start ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 19077/956418. ------ 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. ------ 19078/956463. ------ 1. ==[ start ]==> ((^a.b)(c (^c.a))) 2. ==[ alpha ]==> ((^x.b)(c (^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 19079/956499. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 19080/956520. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 19081/956544. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> (((^z.b)(a a))(^y.y)) 4. ==[ alpha ]==> (((^x.b)(a a))(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 19082/956700. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 19083/956709. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(a y))) 3. ==[ eta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 19084/956733. ------ 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)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 19085/956904. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 19086/956907. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y b))) REDUCED to normal form. ------ 19087/957249. ------ 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. ------ 19088/957354. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19089/957708. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(^x.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 19090/957786. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((^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))) 5. ==[ beta ]==> ((a ((^z.a)(^x1.a)))((^y1.a)(^z1.a))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.a)))((^z.a)(^x1.a))) 7. ==[ beta ]==> ((a a)((^z.a)(^x1.a))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 19091/958194. ------ 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. ------ 19092/958299. ------ 1. ==[ start ]==> ((^a.(a b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(a (^y.(y y)))) 3. ==[ beta ]==> ((a (^y.(y y))) b) 4. ==[ alpha ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 19093/958302. ------ 1. ==[ start ]==> ((a (a b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 19094/958455. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.c)) 2. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 19095/958473. ------ 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 (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 19096/958662. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(a (^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)))) REDUCED to normal form. ------ 19097/958686. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((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)))) REDUCED to normal form. ------ 19098/958689. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 19099/958707. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 19100/958734. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(a a))) REDUCED to normal form. ------ 19101/958761. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(^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 (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 19102/958788. ------ 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. ------ 19103/958818. ------ 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. ------ 19104/958845. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^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. ------ 19105/958863. ------ 1. ==[ start ]==> ((a b)(c (^c.a))) 2. ==[ alpha ]==> ((a b)(c (^x.a))) REDUCED to normal form. ------ 19106/958872. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((a a)((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 19107/958899. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 19108/958917. ------ 1. ==[ start ]==> (((a a)(a a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(a (^x.(a a)))) REDUCED to normal form. ------ 19109/958935. ------ 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. ------ 19110/958944. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 19111/958962. ------ 1. ==[ start ]==> (((a a) b)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 19112/958989. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.a)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.a)) REDUCED to normal form. ------ 19113/959016. ------ 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. ------ 19114/959043. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) a)(^b.(^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. ------ 19115/959079. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 19116/959097. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)(^z.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.b))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 19117/959106. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a b)) REDUCED to normal form. ------ 19118/959133. ------ 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))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 19119/959178. ------ 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 (^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. ------ 19120/959304. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (a b))) REDUCED to normal form. ------ 19121/959412. ------ 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. ------ 19122/959439. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1))((^y1.y1)(^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. ------ 19123/959502. ------ 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. ------ 19124/959529. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 19125/959556. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (a a))(^z.a))) REDUCED to normal form. ------ 19126/959583. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^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. ------ 19127/959610. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 19128/959646. ------ 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. ------ 19129/959700. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 19130/959718. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (a a)) c)) 3. ==[ beta ]==> ((b b)((a (a a)) c)) REDUCED to normal form. ------ 19131/959727. ------ 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. ------ 19132/959754. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 19133/959763. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 19134/959790. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 19135/959844. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(a a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 9. ==[ beta ]==> ((^y.y)(a a)) 10. ==[ alpha ]==> ((^x.x)(a a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 19136/959853. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 19137/959898. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((^y.y) a)((^z.z) 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. ------ 19138/959925. ------ 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 (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. ------ 19139/959988. ------ 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))(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 19140/960015. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 19141/960051. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 19142/960078. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 19143/960105. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) 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)((^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. ------ 19144/960132. ------ 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. ------ 19145/960159. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 19146/960186. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 19147/960222. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 19148/960276. ------ 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. ------ 19149/960312. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.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. ------ 19150/960357. ------ 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. ------ 19151/960393. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 19152/960420. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 19153/960447. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 19154/960474. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19155/960501. ------ 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. ------ 19156/960537. ------ 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. ------ 19157/960564. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 19158/960591. ------ 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. ------ 19159/960672. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.a))) REDUCED to normal form. ------ 19160/960699. ------ 1. ==[ start ]==> ((a (a b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))(a (^x.(x x)))) REDUCED to normal form. ------ 19161/960852. ------ 1. ==[ start ]==> ((((a a) a) b)((a a) c)) REDUCED to normal form. ------ 19162/960870. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(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. ------ 19163/960879. ------ 1. ==[ start ]==> (((a b) a)((^b.a) a)) 2. ==[ alpha ]==> (((a b) a)((^x.a) a)) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 19164/960897. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(a a))) 3. ==[ beta ]==> ((a b)((a (^y.y))(a a))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(a a))) REDUCED to normal form. ------ 19165/960906. ------ 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))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 19166/960924. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 19167/960960. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 19168/960978. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b b)) REDUCED to normal form. ------ 19169/960987. ------ 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. ------ 19170/961014. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z)) a)) 5. ==[ beta ]==> ((^y.a)((a (^z.z)) a)) 6. ==[ alpha ]==> ((^x.a)((a (^y.y)) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19171/961041. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 19172/961059. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(a (a (^y.y)))) 3. ==[ beta ]==> (b (a (a (^y.y)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 19173/961068. ------ 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. ------ 19174/961086. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 19175/961104. ------ 1. ==[ start ]==> (((a a)(a b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 19176/961131. ------ 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. ------ 19177/961158. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.a)(^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. ------ 19178/961185. ------ 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. ------ 19179/961701. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 19180/963699. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 19181/963711. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(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. ------ 19182/963744. ------ 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. ------ 19183/963861. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 19184/963933. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b) a)) 3. ==[ eta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 19185/964104. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 19186/964107. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 19187/964278. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((a a) a))) 3. ==[ beta ]==> ((a b)(^y.((a a) a))) 4. ==[ alpha ]==> ((a b)(^x.((a a) a))) REDUCED to normal form. ------ 19188/964296. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.b))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.b))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 7. ==[ beta ]==> (^y.(^z.b)) 8. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 19189/964428. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 19190/964764. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.((^a.a)(^a.a)))) 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))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 19191/965187. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 19192/965319. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 19193/965493. ------ 1. ==[ start ]==> (((^a.b) a)(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((^z.z) a))) 3. ==[ beta ]==> (b (^y.((^z.z) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 19194/965511. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(z z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 19195/965592. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((^x1.x1) a))) IRREDUCIBLE: cycle. ------ 19196/965673. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 19197/965682. ------ 1. ==[ start ]==> (((a b) a)(^a.((^a.a) a))) 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. ------ 19198/965817. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.c)) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.c)) 5. ==[ beta ]==> ((^y.a)(^z.c)) 6. ==[ alpha ]==> ((^x.a)(^y.c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19199/965862. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 19200/965871. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 19201/965886. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (^a.a))) 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. ------ 19202/965907. ------ 1. ==[ start ]==> (((a a)(a b))(^b.b)) 2. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 19203/965988. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^b.a)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.a)) REDUCED to normal form. ------ 19204/966036. ------ 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. ------ 19205/966063. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)((^a.a)(^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. ------ 19206/966090. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 19207/966108. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 19208/966117. ------ 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. ------ 19209/966153. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 19210/966162. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 19211/966216. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 19212/966243. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (a a))) 6. ==[ alpha ]==> ((^x.(x x))(a (a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 19213/966270. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 19214/966315. ------ 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. ------ 19215/966342. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))((a b) a)) 3. ==[ beta ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 19216/966351. ------ 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. ------ 19217/966432. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (a ((^y.(y y))(^z.(z z)))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.(y y)))) 7. ==[ beta ]==> (a ((^y.(y y))(^y.(y y)))) 8. ==[ alpha ]==> (a ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 19218/966459. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19219/966495. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b ((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(b ((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(b ((a a) a))) REDUCED to normal form. ------ 19220/966513. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.b)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.b)) REDUCED to normal form. ------ 19221/966531. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b) a)) 3. ==[ beta ]==> (((a a) a)((^y.b) a)) 4. ==[ alpha ]==> (((a a) a)((^x.b) a)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 19222/966585. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 19223/966603. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a a)((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((a a)((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((a a)((a (a a)) a)) REDUCED to normal form. ------ 19224/966648. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 19225/966684. ------ 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. ------ 19226/966702. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (^z.b))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (^z.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. ------ 19227/966756. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(a (^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. ------ 19228/966810. ------ 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)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 19229/966837. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^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. ------ 19230/966882. ------ 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. ------ 19231/966909. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.z) b)) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.y) b)) 7. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 19232/966972. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19233/966999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))(^b.(^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. ------ 19234/967062. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)(a a))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)(a a))) 5. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 19235/967089. ------ 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. ------ 19236/967116. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 19237/967143. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 19238/967170. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.a))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 19239/967260. ------ 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)(^y.y))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 19240/967287. ------ 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 z)))) REDUCED to normal form. ------ 19241/967314. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 19242/967341. ------ 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. ------ 19243/967368. ------ 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. ------ 19244/967431. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 19245/967521. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (b (((^y.y) a)(a (^z.z)))) 6. ==[ alpha ]==> (b (((^x.x) a)(a (^y.y)))) 7. ==[ beta ]==> (b (a (a (^y.y)))) 8. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 19246/967548. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) a)((a (^x.x)) a)) REDUCED to normal form. ------ 19247/967566. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.(y y)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(x x)))) REDUCED to normal form. ------ 19248/967593. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 19249/967647. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(a (^z.z)))) 7. ==[ beta ]==> ((a a)((^y.a)(a (^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.a)(a (^y.y)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 19250/967656. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c c)) REDUCED to normal form. ------ 19251/967728. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 19252/967746. ------ 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. ------ 19253/967827. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 19254/967854. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a) b)) 5. ==[ beta ]==> ((a (^y.y))((^z.a) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.a) b)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 19255/967899. ------ 1. ==[ start ]==> (((^a.b) a)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)((a a)((^y.y) a))) 3. ==[ beta ]==> (b ((a a)((^y.y) a))) 4. ==[ alpha ]==> (b ((a a)((^x.x) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 19256/967917. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.(z z)))) 3. ==[ beta ]==> ((^y.b)(a (^z.(z z)))) 4. ==[ alpha ]==> ((^x.b)(a (^y.(y y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 19257/967998. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)((^x1.x1) a))) IRREDUCIBLE: cycle. ------ 19258/968061. ------ 1. ==[ start ]==> ((((a a) a) b)(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(b (a (^x.x)))) REDUCED to normal form. ------ 19259/968079. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b ((^z.z)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 19260/968088. ------ 1. ==[ start ]==> (((a b) a)(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)(a ((^x.x) a))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 19261/968106. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (^a.a))) 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. ------ 19262/968115. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(a a))) REDUCED to normal form. ------ 19263/968133. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 19264/968169. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c a)) REDUCED to normal form. ------ 19265/968187. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 19266/968196. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b b)) REDUCED to normal form. ------ 19267/968223. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a c)) 3. ==[ beta ]==> (((^y.y)(^z.a))(a c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a c)) 5. ==[ beta ]==> ((^y.a)(a c)) 6. ==[ alpha ]==> ((^x.a)(a c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19268/968250. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 19269/968268. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 19270/968277. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 19271/968295. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 19272/968313. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(a b))((^x.x) b)) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 19273/968340. ------ 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. ------ 19274/968367. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a a) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 19275/968394. ------ 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. ------ 19276/968420. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))((^x1.x1) x))) 3. ==[ beta ]==> (^x.((^z.z)((^x1.x1) x))) 4. ==[ alpha ]==> (^x.((^y.y)((^z.z) x))) 5. ==[ beta ]==> (^x.((^z.z) x)) 6. ==[ alpha ]==> (^x.((^y.y) x)) 7. ==[ eta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19277/968421. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 19278/970314. ------ 1. ==[ start ]==> ((^a.(a b))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((^z.z) a))) 3. ==[ beta ]==> ((^y.((^z.z) a)) b) 4. ==[ alpha ]==> ((^x.((^y.y) a)) b) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19279/970830. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a)) a) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a)) a) 3. ==[ beta ]==> (((^y.y)((^z.z) a)) a) 4. ==[ alpha ]==> (((^x.x)((^y.y) a)) a) 5. ==[ beta ]==> (((^y.y) a) a) 6. ==[ alpha ]==> (((^x.x) a) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 19280/970836. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 19281/970863. ------ 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. ------ 19282/970890. ------ 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 REDUCED to normal form. ------ 19283/970965. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^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. ------ 19284/971088. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 19285/971352. ------ 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))) REDUCED to normal form. ------ 19286/971430. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a (a a))((^y.y) a))((a (a a))((^z.z) a)))) 5. ==[ beta ]==> (((a (a a)) a)(((a (a a))((^y.y) a))((a (a a))((^z.z) a)))) 6. ==[ alpha ]==> (((a (a a)) a)(((a (a a))((^x.x) a))((a (a a))((^y.y) a)))) 7. ==[ beta ]==> (((a (a a)) a)(((a (a a)) a)((a (a a))((^y.y) a)))) 8. ==[ alpha ]==> (((a (a a)) a)(((a (a a)) a)((a (a a))((^x.x) a)))) 9. ==[ beta ]==> (((a (a a)) a)(((a (a a)) a)((a (a a)) a))) REDUCED to normal form. ------ 19287/971532. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.b))) REDUCED to normal form. ------ 19288/971655. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 19289/972423. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 19290/972531. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 19291/972546. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a)) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 19292/972648. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 19293/972726. ------ 1. ==[ start ]==> ((^a.(a b))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a a)((^y.y) a)) b) 4. ==[ alpha ]==> (((a a)((^x.x) a)) b) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 19294/972729. ------ 1. ==[ start ]==> ((a (a b))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))(^x.((^y.y) a))) 3. ==[ beta ]==> ((a (a b))(^x.a)) REDUCED to normal form. ------ 19295/972900. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 19296/972909. ------ 1. ==[ start ]==> (((a b) a)(^b.(^b.a))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.a))) REDUCED to normal form. ------ 19297/972990. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 19298/973044. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(a (^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19299/973089. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.b)) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 19300/973098. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 19301/973113. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1)) a)((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z)) a)((^x1.(^y1.y1)) a))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1)) a))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1)) a))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1)) a)) 8. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 19302/973134. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(a a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(a a))) REDUCED to normal form. ------ 19303/973188. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.b)) 5. ==[ beta ]==> ((a (^y.y))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 19304/973215. ------ 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. ------ 19305/973242. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.z)) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 19306/973254. ------ 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)((^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. ------ 19307/973281. ------ 1. ==[ start ]==> ((a (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 19308/973308. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a b)(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 19309/973353. ------ 1. ==[ start ]==> (((^a.a) b)(b (^a.b))) 2. ==[ alpha ]==> (((^x.x) b)(b (^y.b))) 3. ==[ beta ]==> (b (b (^y.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 19310/973362. ------ 1. ==[ start ]==> (((a a)(a a))((a a)(a b))) REDUCED to normal form. ------ 19311/973380. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(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. ------ 19312/973398. ------ 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. ------ 19313/973407. ------ 1. ==[ start ]==> (((a a) b)((^a.b)(a a))) 2. ==[ alpha ]==> (((a a) b)((^x.b)(a a))) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 19314/973425. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 19315/973452. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 7. ==[ beta ]==> ((a (^x.x))(^z.a)) 8. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 19316/973461. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 19317/973479. ------ 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 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. ------ 19318/973488. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a (a a))(a (a a)))) REDUCED to normal form. ------ 19319/973506. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 19320/973542. ------ 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)((^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. ------ 19321/973587. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b) a)) 3. ==[ beta ]==> ((^y.a)((a b) a)) 4. ==[ alpha ]==> ((^x.a)((a b) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 19322/973614. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 19323/973623. ------ 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 (^x.x)) b) a) REDUCED to normal form. ------ 19324/973650. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 19325/973677. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 19326/973704. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 19327/973767. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a (a b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a (a b))) 3. ==[ beta ]==> (((a a) a)(a (a b))) REDUCED to normal form. ------ 19328/973794. ------ 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. ------ 19329/973821. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a (a a))(a (^y.y))) 8. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 19330/973848. ------ 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. ------ 19331/973920. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b (^y.a))) 3. ==[ beta ]==> ((a b)(b (^y.a))) 4. ==[ alpha ]==> ((a b)(b (^x.a))) REDUCED to normal form. ------ 19332/973947. ------ 1. ==[ start ]==> (((a (a a)) a)(a (^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)(a (^x.b))) REDUCED to normal form. ------ 19333/973965. ------ 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. ------ 19334/973992. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))(^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. ------ 19335/974001. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 19336/974028. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((^x1.x1) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a ((^x1.x1) a))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z) a))) 9. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 19337/974046. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) a)(^z.(z 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. ------ 19338/974055. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 19339/974073. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 19340/974163. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 19341/974406. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 19342/974460. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((^y.(^z.z))(a a)) 8. ==[ alpha ]==> ((^x.(^y.y))(a a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19343/974721. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (a ((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 19344/974838. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 19345/974865. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 19346/974883. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)(^x1.(^y1.y1)))) 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)))) 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. ------ 19347/974892. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 19348/974919. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19349/974946. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (a a))) REDUCED to normal form. ------ 19350/974964. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a)) a)) 2. ==[ alpha ]==> ((a (^x.b))((a (a a)) a)) REDUCED to normal form. ------ 19351/975036. ------ 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. ------ 19352/975063. ------ 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. ------ 19353/975090. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(a a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 19354/975117. ------ 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. ------ 19355/975135. ------ 1. ==[ start ]==> (((^a.b) a)(b (^b.a))) 2. ==[ alpha ]==> (((^x.b) a)(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 19356/975144. ------ 1. ==[ start ]==> ((a (a b))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))((a a)((^x.x) a))) 3. ==[ beta ]==> ((a (a b))((a a) a)) REDUCED to normal form. ------ 19357/975234. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.a))) IRREDUCIBLE: cycle. ------ 19358/975297. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 19359/975315. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 19360/975324. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(^y.a))) 3. ==[ beta ]==> (((a b) a)(^y.a)) 4. ==[ alpha ]==> (((a b) a)(^x.a)) REDUCED to normal form. ------ 19361/975342. ------ 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)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 19362/975351. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (^y.y))) REDUCED to normal form. ------ 19363/975369. ------ 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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19364/975405. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 19365/975423. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 19366/975432. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 19367/975459. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a (^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19368/975486. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 19369/975504. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a) b)) 2. ==[ alpha ]==> (((^x.b)(a a))((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 19370/975513. ------ 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. ------ 19371/975531. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 19372/975549. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(a a))) REDUCED to normal form. ------ 19373/975576. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b a)) REDUCED to normal form. ------ 19374/975603. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a b)) 5. ==[ beta ]==> ((a (^y.y))(a b)) 6. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 19375/975630. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(a (a a))) REDUCED to normal form. ------ 19376/975657. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^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. ------ 19377/975804. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((^z.(^x1.(z z)))(^y.y)) 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. ------ 19378/975993. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(a z))) 3. ==[ eta ]==> ((^y.y)(^z.(a z))) 4. ==[ alpha ]==> ((^x.x)(^y.(a y))) 5. ==[ eta ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 19379/977946. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(a (^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.((^x1.(x1 (^y1.y1)))(^z.z))) 6. ==[ alpha ]==> (^x.((^y.(y (^z.z)))(^x1.x1))) 7. ==[ beta ]==> (^x.((^x1.x1)(^z.z))) 8. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 19380/978075. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a)) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a)) b) 3. ==[ beta ]==> (((^y.y)((^z.z) a)) b) 4. ==[ alpha ]==> (((^x.x)((^y.y) a)) b) 5. ==[ beta ]==> (((^y.y) a) b) 6. ==[ alpha ]==> (((^x.x) a) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 19381/978099. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^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. ------ 19382/978180. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 19383/978225. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> ((a (^z.(a a)))(^y.y)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 19384/978228. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 19385/978414. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(a b))) 3. ==[ eta ]==> ((^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. ------ 19386/978417. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(a y))) 3. ==[ eta ]==> ((a ((^x.x) a)) a) 4. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 19387/978585. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b ((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 19388/978606. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.y))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.y))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.x))) REDUCED to normal form. ------ 19389/978957. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.((a a) a))) REDUCED to normal form. ------ 19390/979035. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19391/979128. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1) y1))) 5. ==[ beta ]==> ((^y.y)(^y1.((y1 y1) y1))) 6. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 7. ==[ beta ]==> (^y.((y y) y)) 8. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 19392/979416. ------ 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. ------ 19393/979467. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1))))((^x2.(x2 x2))(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1))))((^x2.(x2 x2))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))((^y2.(y2 y2))(^z2.(^x3.x3)))) 7. ==[ beta ]==> (((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2))))((^y2.(y2 y2))(^z2.(^x3.x3)))) 8. ==[ alpha ]==> (((^x.x)((^y.(y y))(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.x2)))) 9. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 10. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 11. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 13. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 14. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 15. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 16. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 17. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 18. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 19. ==[ beta ]==> (^y.y) 20. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19394/979560. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a (^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a (^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (^x.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 19395/979902. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 19396/979980. ------ 1. ==[ start ]==> ((^a.(a b))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(x b))(b (^y.a))) 3. ==[ beta ]==> ((b (^y.a)) b) 4. ==[ alpha ]==> ((b (^x.a)) b) REDUCED to normal form. ------ 19397/979992. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.b)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.b)(^y.((^z.z) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 19398/980163. ------ 1. ==[ start ]==> (((a b) a)(^c.c)) 2. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 19399/980181. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.((^a.a) a))) 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. ------ 19400/980244. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 19401/980298. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19402/980352. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.b)) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.b)) REDUCED to normal form. ------ 19403/980367. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (a (^a.a)))) 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. ------ 19404/980370. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 19405/980415. ------ 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. ------ 19406/980442. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(a a))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 19407/980469. ------ 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. ------ 19408/980496. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 19409/980526. ------ 1. ==[ start ]==> ((a (^a.a))(((^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. ------ 19410/980553. ------ 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. ------ 19411/980580. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 19412/980607. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 19413/980625. ------ 1. ==[ start ]==> (((a a)(a a))(b (^a.b))) 2. ==[ alpha ]==> (((a a)(a a))(b (^x.b))) REDUCED to normal form. ------ 19414/980652. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 19415/980670. ------ 1. ==[ start ]==> (((a a) b)((a b)(^a.a))) 2. ==[ alpha ]==> (((a a) b)((a b)(^x.x))) REDUCED to normal form. ------ 19416/980697. ------ 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. ------ 19417/980724. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 19418/980751. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 19419/980787. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 19420/980805. ------ 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)((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. ------ 19421/980814. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))((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. ------ 19422/980841. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(a b))) 3. ==[ beta ]==> ((a a)((^y.y)(a b))) 4. ==[ alpha ]==> ((a a)((^x.x)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 19423/980886. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a) b)) REDUCED to normal form. ------ 19424/981012. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b ((a a) a))) REDUCED to normal form. ------ 19425/981030. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a) a)(^y.b)) 6. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 19426/981102. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 19427/981120. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))((^y.y) a))) 5. ==[ beta ]==> (((a (a a))((^y.y) a))((a (a a))((^y.y) a))) 6. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (a a))((^y.y) a))) 7. ==[ beta ]==> (((a (a a)) a)((a (a a))((^y.y) a))) 8. ==[ alpha ]==> (((a (a a)) a)((a (a a))((^x.x) a))) 9. ==[ beta ]==> (((a (a a)) a)((a (a a)) a)) REDUCED to normal form. ------ 19428/981147. ------ 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. ------ 19429/981201. ------ 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. ------ 19430/981237. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 19431/981264. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))(^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. ------ 19432/981291. ------ 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. ------ 19433/981318. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 19434/981354. ------ 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. ------ 19435/981381. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((a a) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a) a)) REDUCED to normal form. ------ 19436/981426. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 19437/981435. ------ 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. ------ 19438/981462. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a (^x.x))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 19439/981552. ------ 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))(^y.(^z.z)))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 19440/981561. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a) a)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a) a)) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 19441/981588. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) b)) 5. ==[ beta ]==> (a ((^y.(^z.z)) b)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) b)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 19442/981606. ------ 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. ------ 19443/981615. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z)) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(c c)) REDUCED to normal form. ------ 19444/981633. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)((^x1.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. ------ 19445/981687. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((^z.z)(^x1.x1)))) 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. ------ 19446/981723. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19447/981759. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 19448/981786. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 19449/981813. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 19450/981840. ------ 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. ------ 19451/981867. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 19452/981894. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 19453/981930. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(c ((^y1.y1) 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. ------ 19454/981984. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^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)))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 19455/982020. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z)) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z)) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y)) b)) 5. ==[ beta ]==> (b ((^y.(y y)) b)) 6. ==[ alpha ]==> (b ((^x.(x x)) b)) 7. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 19456/982047. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a) c)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a) c)) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 19457/982065. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((a (^x.x)) a)) REDUCED to normal form. ------ 19458/982092. ------ 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. ------ 19459/982128. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (a a))(^z.z))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 19460/982155. ------ 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. ------ 19461/982182. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19462/982209. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 19463/982245. ------ 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. ------ 19464/982272. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 19465/982299. ------ 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. ------ 19466/982326. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 19467/982398. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 19468/982407. ------ 1. ==[ start ]==> ((a (a b))(b (^b.a))) 2. ==[ alpha ]==> ((a (a b))(b (^x.a))) REDUCED to normal form. ------ 19469/982416. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)((^z.z) a))) 3. ==[ beta ]==> ((^y.b)((a a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.b)((a a)((^y.y) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 19470/982497. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b c)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b c)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b c)) IRREDUCIBLE: cycle. ------ 19471/982560. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x)) b)) REDUCED to normal form. ------ 19472/982578. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b (a (^z.z)))) 3. ==[ beta ]==> (b (b (a (^z.z)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 19473/982587. ------ 1. ==[ start ]==> (((a b) a)((a a) c)) REDUCED to normal form. ------ 19474/982605. ------ 1. ==[ start ]==> (((^a.a)(a b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))(a ((^y.y) a))) 3. ==[ beta ]==> ((a b)(a ((^y.y) a))) 4. ==[ alpha ]==> ((a b)(a ((^x.x) a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 19475/982614. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a) a)) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 19476/982632. ------ 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 (^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. ------ 19477/982668. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a) 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. ------ 19478/982695. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 19479/982722. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19480/982749. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 19481/982767. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (a a))) 2. ==[ alpha ]==> (((^x.b)(a a))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 19482/982776. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a) b)) 2. ==[ alpha ]==> (((a b)(^x.x))((a a) b)) REDUCED to normal form. ------ 19483/982794. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 19484/982812. ------ 1. ==[ start ]==> (((a a)(a b))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(a b))(b (^x.x))) REDUCED to normal form. ------ 19485/982839. ------ 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. ------ 19486/982866. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.a)(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. ------ 19487/982893. ------ 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. ------ 19488/982920. ------ 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. ------ 19489/984651. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 19490/985218. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 19491/985518. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 19492/985623. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (^y.((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (^x.((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (^x.((a (a a))(a (a a)))) REDUCED to normal form. ------ 19493/985695. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(^z.b))) 3. ==[ eta ]==> ((^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. ------ 19494/985707. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a z))) 3. ==[ eta ]==> (((^x.x)(^y.a)) a) 4. ==[ beta ]==> ((^y.a) a) 5. ==[ alpha ]==> ((^x.a) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 19495/985965. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((^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))) 5. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) c)((^y1.(^z1.z1)) c))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) c)((^x1.(^y1.y1)) c))) 7. ==[ beta ]==> (((^y.(^z.z)) c)((^x1.(^y1.y1)) c)) 8. ==[ alpha ]==> (((^x.(^y.y)) c)((^z.(^x1.x1)) c)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 11. ==[ beta ]==> ((^y.(^z.z)) c) 12. ==[ alpha ]==> ((^x.(^y.y)) c) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19496/986085. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.b))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.b))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.b))) REDUCED to normal form. ------ 19497/986190. ------ 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. ------ 19498/986409. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.a))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.a))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 7. ==[ beta ]==> (^y.(^z.a)) 8. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 19499/986418. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((x x) x))) REDUCED to normal form. ------ 19500/986748. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.((x x) x))((a (a a)) b)) 3. ==[ beta ]==> ((((a (a a)) b)((a (a a)) b))((a (a a)) b)) REDUCED to normal form. ------ 19501/986841. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 19502/986958. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a (a a)))) REDUCED to normal form. ------ 19503/987081. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 19504/987084. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(a (a a)))) REDUCED to normal form. ------ 19505/987261. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((^y.(^z.z)) c) b) 4. ==[ alpha ]==> (((^x.(^y.y)) c) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 19506/987462. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.a))) 3. ==[ beta ]==> ((a b)(^y.(^z.a))) 4. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 19507/987471. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.((^a.a) a))) 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. ------ 19508/987525. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 19509/987543. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.y))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.y))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.x))) REDUCED to normal form. ------ 19510/987648. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.(^y1.y1)))((^z.z)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.y1)(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 19511/987651. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 19512/987696. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 19513/987777. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.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. ------ 19514/987825. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^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 ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 19515/987852. ------ 1. ==[ start ]==> (((a a) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 19516/987879. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 19517/987906. ------ 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. ------ 19518/987933. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)(a b))) 3. ==[ beta ]==> ((^y.y)((a a)(a b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 19519/987951. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 19520/987978. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 5. ==[ beta ]==> ((^y.b)(a a)) 6. ==[ alpha ]==> ((^x.b)(a a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 19521/988032. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19522/988059. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a (^x.a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 19523/988077. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 19524/988131. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.b))) 3. ==[ beta ]==> ((a a)((a a)(^y.b))) 4. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 19525/988140. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(a b))) 3. ==[ beta ]==> ((^y.a)((^z.z)(a b))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 19526/988167. ------ 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)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 19527/988221. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 19528/988248. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 7. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 19529/988347. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 19530/988392. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)((^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. ------ 19531/988401. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y)) c)) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 19532/988473. ------ 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 (^x.x))(^z.z))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 19533/988491. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (^z.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (^z.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. ------ 19534/988500. ------ 1. ==[ start ]==> (((a (a a)) a)((a a)((a a) a))) REDUCED to normal form. ------ 19535/988518. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(a (^y.b))) 3. ==[ beta ]==> ((a (a a))(a (^y.b))) 4. ==[ alpha ]==> ((a (a a))(a (^x.b))) REDUCED to normal form. ------ 19536/988599. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (((a a)(a a))(a ((^y.y) a))) 8. ==[ alpha ]==> (((a a)(a a))(a ((^x.x) a))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 19537/988626. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 19538/988644. ------ 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. ------ 19539/988698. ------ 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. ------ 19540/988725. ------ 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. ------ 19541/988761. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19542/988788. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 19543/988851. ------ 1. ==[ start ]==> (((a (a a)) b)(a ((a a) a))) REDUCED to normal form. ------ 19544/988878. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(^a.a))(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 ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 19545/988905. ------ 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. ------ 19546/988932. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 19547/988959. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 19548/988977. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 19549/988986. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 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. ------ 19550/989049. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 19551/989076. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a (^y.a))) REDUCED to normal form. ------ 19552/989103. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 19553/989130. ------ 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. ------ 19554/989157. ------ 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)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 19555/989184. ------ 1. ==[ start ]==> ((a ((a a) a))((a (a a)) b)) REDUCED to normal form. ------ 19556/989220. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 19557/989274. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(^b.(^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. ------ 19558/989310. ------ 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. ------ 19559/989337. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) a)(a (a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a) a)(a (a (^x.x)))) REDUCED to normal form. ------ 19560/989382. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(b (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 19561/989391. ------ 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. ------ 19562/989436. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(a a))) 7. ==[ beta ]==> ((a a)((^y.(y y))(a a))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(a a))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 19563/989517. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a (^x.b))(a (a a))) REDUCED to normal form. ------ 19564/989535. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (a a)) a)) REDUCED to normal form. ------ 19565/989562. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 19566/989643. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z)) a)) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z)) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) a)) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 19567/989670. ------ 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. ------ 19568/989688. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (b ((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 19569/989697. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) c)) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 19570/989706. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.a))) 3. ==[ beta ]==> ((^y.b)(b (^z.a))) 4. ==[ alpha ]==> ((^x.b)(b (^y.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 19571/989787. ------ 1. ==[ start ]==> (((^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.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) IRREDUCIBLE: cycle. ------ 19572/989850. ------ 1. ==[ start ]==> ((((a a) a) b)(c (a a))) REDUCED to normal form. ------ 19573/989868. ------ 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 ((^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. ------ 19574/989877. ------ 1. ==[ start ]==> (((a b) a)(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)(b (a (^x.x)))) REDUCED to normal form. ------ 19575/989895. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 19576/989904. ------ 1. ==[ start ]==> (((a a)(^a.b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(a ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 19577/989958. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 19578/989976. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(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. ------ 19579/990012. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b b)) 3. ==[ beta ]==> (((^y.y)(^z.a))(b b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b b)) 5. ==[ beta ]==> ((^y.a)(b b)) 6. ==[ alpha ]==> ((^x.a)(b b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19580/990057. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 19581/990066. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (a a))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (a a))) REDUCED to normal form. ------ 19582/990084. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 19583/990102. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 19584/990129. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y) b)) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 19585/990156. ------ 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))) REDUCED to normal form. ------ 19586/990183. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a a) a)) REDUCED to normal form. ------ 19587/990210. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a) 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. ------ 19588/990236. ------ 1. ==[ start ]==> (^a.(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (^x.(((x x) x)(x (^y.y)))) REDUCED to normal form. ------ 19589/990237. ------ 1. ==[ start ]==> (a (((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (a (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 19590/991950. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 19591/992517. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.b)) 3. ==[ beta ]==> (^y.((^z.b)(^z.b))) 4. ==[ alpha ]==> (^x.((^y.b)(^z.b))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 19592/992673. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a))) a) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 19593/992679. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)(a (^a.a)))) 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. ------ 19594/992706. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1) a))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1) a))) 8. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((^x1.x1) a))) 9. ==[ beta ]==> (a (((^y.y)(^z.z))((^x1.x1) a))) 10. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z) a))) 11. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 12. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 13. ==[ beta ]==> (a ((^y.y) a)) 14. ==[ alpha ]==> (a ((^x.x) a)) 15. ==[ beta ]==> (a a) REDUCED to normal form. ------ 19595/992733. ------ 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. ------ 19596/992814. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(a b))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 19597/992835. ------ 1. ==[ start ]==> (((a a) b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 19598/992931. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (^y.((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (^x.((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 19599/993015. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.b))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 19600/993222. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z b))) REDUCED to normal form. ------ 19601/993273. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((((^x1.x1)(^y1.y1))(a (^z1.z1)))(((^x2.x2)(^y2.y2))(a (^z2.z2))))) 5. ==[ beta ]==> (((^y.y)(a (^z.z)))((((^x1.x1)(^y1.y1))(a (^z1.z1)))(((^x2.x2)(^y2.y2))(a (^z2.z2))))) 6. ==[ alpha ]==> (((^x.x)(a (^y.y)))((((^z.z)(^x1.x1))(a (^y1.y1)))(((^z1.z1)(^x2.x2))(a (^y2.y2))))) 7. ==[ beta ]==> ((a (^y.y))((((^z.z)(^x1.x1))(a (^y1.y1)))(((^z1.z1)(^x2.x2))(a (^y2.y2))))) 8. ==[ alpha ]==> ((a (^x.x))((((^y.y)(^z.z))(a (^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2))))) 9. ==[ beta ]==> ((a (^x.x))(((^z.z)(a (^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2))))) 10. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1))))) 11. ==[ beta ]==> ((a (^x.x))((a (^z.z))(((^x1.x1)(^y1.y1))(a (^z1.z1))))) 12. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(((^z.z)(^x1.x1))(a (^y1.y1))))) 13. ==[ beta ]==> ((a (^x.x))((a (^y.y))((^x1.x1)(a (^y1.y1))))) 14. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z)(a (^x1.x1))))) 15. ==[ beta ]==> ((a (^x.x))((a (^y.y))(a (^x1.x1)))) 16. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 19602/993402. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.b))) REDUCED to normal form. ------ 19603/993498. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 19604/993726. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.a))) REDUCED to normal form. ------ 19605/994293. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 19606/994389. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(^z.(z z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 19607/994392. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 19608/994518. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(z (z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(z (z z)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 19609/994569. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^z.z))) b) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 19610/994770. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.c)) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.y)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 19611/994779. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 19612/994851. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.c)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.c)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.c)) REDUCED to normal form. ------ 19613/994860. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 19614/994914. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 19615/994956. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a) b)) 3. ==[ beta ]==> (^y.(((a a) b)((a a) b))) 4. ==[ alpha ]==> (^x.(((a a) b)((a a) b))) REDUCED to normal form. ------ 19616/994959. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.b)) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.b)) REDUCED to normal form. ------ 19617/994977. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(x (^y.y)))) REDUCED to normal form. ------ 19618/995058. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^a.b)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.b)) REDUCED to normal form. ------ 19619/995085. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(x1 x1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(x1 x1))) 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. ------ 19620/995112. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 19621/995124. ------ 1. ==[ start ]==> ((a a)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a a)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 19622/995151. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 19623/995178. ------ 1. ==[ start ]==> ((a b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 19624/995223. ------ 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. ------ 19625/995232. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 19626/995250. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(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. ------ 19627/995259. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(a b))) REDUCED to normal form. ------ 19628/995277. ------ 1. ==[ start ]==> (((a a) b)(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)(a (^x.(a a)))) REDUCED to normal form. ------ 19629/995295. ------ 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. ------ 19630/995304. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(a a))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 19631/995322. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 19632/995349. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^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. ------ 19633/995358. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^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. ------ 19634/995376. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 19635/995412. ------ 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)((^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. ------ 19636/995457. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.b))) 3. ==[ beta ]==> ((^y.a)((a a)(^z.b))) 4. ==[ alpha ]==> ((^x.a)((a a)(^y.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 19637/995484. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b) a)) 3. ==[ beta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 19638/995493. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 19639/995547. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 19640/995574. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.(y1 y1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) IRREDUCIBLE: cycle. ------ 19641/995601. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 19642/995637. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b ((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b ((a a) a))) 3. ==[ beta ]==> (((a a) a)(b ((a a) a))) REDUCED to normal form. ------ 19643/995664. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (a b))) REDUCED to normal form. ------ 19644/995691. ------ 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. ------ 19645/995718. ------ 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)))((^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. ------ 19646/995727. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z)) c)) 5. ==[ beta ]==> (((^y.(^z.z)) c)((^y.(^z.z)) c)) 6. ==[ alpha ]==> (((^x.(^y.y)) c)((^z.(^x1.x1)) c)) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 9. ==[ beta ]==> ((^y.(^z.z)) c) 10. ==[ alpha ]==> ((^x.(^y.y)) c) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19647/995790. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 19648/995817. ------ 1. ==[ start ]==> (((a (a a)) a)(b (^c.a))) 2. ==[ alpha ]==> (((a (a a)) a)(b (^x.a))) REDUCED to normal form. ------ 19649/995844. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.b))) REDUCED to normal form. ------ 19650/995862. ------ 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)(^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. ------ 19651/995871. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 19652/995898. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 19653/995916. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (a a))(^y.a))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.a))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.a))) REDUCED to normal form. ------ 19654/995925. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 19655/995943. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 19656/996033. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 19657/996078. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 19658/996168. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.a)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.a)) REDUCED to normal form. ------ 19659/996213. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 7. ==[ beta ]==> ((^y.(^z.z)) b) 8. ==[ alpha ]==> ((^x.(^y.y)) b) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19660/996276. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.a))(c (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.a))(c (^y.(y y)))) REDUCED to normal form. ------ 19661/996303. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 19662/996537. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a) c)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) 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. ------ 19663/996672. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a) c)) 3. ==[ beta ]==> (((a a) a)((^y.a) c)) 4. ==[ alpha ]==> (((a a) a)((^x.a) c)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 19664/996708. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(x1 x1)))) REDUCED to normal form. ------ 19665/996735. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a (^b.(^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)))) REDUCED to normal form. ------ 19666/996753. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (a a))(^z.z))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(^z.z))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(^z.z))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(^y.y))) 7. ==[ beta ]==> ((a a)((a (a a))(^y.y))) 8. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 19667/996762. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a)(a a))) REDUCED to normal form. ------ 19668/996789. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19669/996816. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 19670/996834. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(y y)))) REDUCED to normal form. ------ 19671/996933. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b ((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) 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. ------ 19672/996960. ------ 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. ------ 19673/996987. ------ 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. ------ 19674/997005. ------ 1. ==[ start ]==> (((^a.b) a)(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(c (^y.(^z.z)))) 3. ==[ beta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 19675/997014. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 19676/997023. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 19677/997104. ------ 1. ==[ start ]==> (((^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.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 19678/997167. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.y))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 19679/997185. ------ 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)) REDUCED to normal form. ------ 19680/997194. ------ 1. ==[ start ]==> (((a b) a)((^a.(^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. ------ 19681/997212. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a) c)) 2. ==[ alpha ]==> (((^x.x)(a b))((a a) c)) 3. ==[ beta ]==> ((a b)((a a) c)) REDUCED to normal form. ------ 19682/997221. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.a)) REDUCED to normal form. ------ 19683/997239. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a) a)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 19684/997275. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 19685/997302. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 19686/997329. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19687/997356. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 19688/997374. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y)) a)) 3. ==[ beta ]==> (b ((a (^y.y)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 19689/997383. ------ 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. ------ 19690/997401. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a) b)) REDUCED to normal form. ------ 19691/997419. ------ 1. ==[ start ]==> (((a a)(a b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(a (a (^x.x)))) REDUCED to normal form. ------ 19692/997446. ------ 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. ------ 19693/997473. ------ 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)) REDUCED to normal form. ------ 19694/997500. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(a b)) REDUCED to normal form. ------ 19695/997527. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^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. ------ 19696/997554. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 19697/999999. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a))) b) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 19698/1000023. ------ 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) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19699/1000104. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 19700/1000149. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (^z.b))) 3. ==[ beta ]==> ((b (^z.b))(^y.y)) 4. ==[ alpha ]==> ((b (^x.b))(^y.y)) REDUCED to normal form. ------ 19701/1000338. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))((a a) a))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19702/1000557. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 19703/1000908. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 19704/1000959. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))(^a.(^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. ------ 19705/1001367. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(^x.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 19706/1001391. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))(^a.a))) 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. ------ 19707/1001745. ------ 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. ------ 19708/1001853. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 19709/1001904. ------ 1. ==[ start ]==> ((^a.(a b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(c (^y.(^z.z)))) 3. ==[ beta ]==> ((c (^y.(^z.z))) b) 4. ==[ alpha ]==> ((c (^x.(^y.y))) b) REDUCED to normal form. ------ 19710/1002114. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.c)) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 19711/1002132. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.((^a.a) a))) 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. ------ 19712/1002195. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.c)) REDUCED to normal form. ------ 19713/1002267. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.c)) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.c)) 3. ==[ beta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 19714/1002291. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b (a a))) 3. ==[ beta ]==> (^y.((b (a a))(b (a a)))) 4. ==[ alpha ]==> (^x.((b (a a))(b (a a)))) REDUCED to normal form. ------ 19715/1002312. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 19716/1002366. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 19717/1002393. ------ 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. ------ 19718/1002420. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^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. ------ 19719/1002447. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 19720/1002477. ------ 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. ------ 19721/1002504. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^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. ------ 19722/1002531. ------ 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. ------ 19723/1002558. ------ 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. ------ 19724/1002603. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.b))) REDUCED to normal form. ------ 19725/1002612. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 19726/1002648. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.y))) REDUCED to normal form. ------ 19727/1002675. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 19728/1002702. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 19729/1002738. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 19730/1002756. ------ 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)(((^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. ------ 19731/1002765. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 19732/1002792. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 19733/1002837. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b) a)) REDUCED to normal form. ------ 19734/1002864. ------ 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. ------ 19735/1002891. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z) c)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y) c)) 5. ==[ beta ]==> (((a a)(^x.a)) c) REDUCED to normal form. ------ 19736/1003008. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.b)) REDUCED to normal form. ------ 19737/1003071. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(a (^x1.x1)))(((^y.y)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 9. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 10. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 11. ==[ beta ]==> ((a (^x.x))((^z.z)(a (^x1.x1)))) 12. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 13. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 14. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 19738/1003098. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 19739/1003152. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 19740/1003179. ------ 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. ------ 19741/1003215. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a)(^z.z))) REDUCED to normal form. ------ 19742/1003242. ------ 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.(^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. ------ 19743/1003269. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 19744/1003305. ------ 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. ------ 19745/1003332. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 19746/1003359. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a (a (^x.x)))((a a) a)) REDUCED to normal form. ------ 19747/1003377. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a) a) a)) 3. ==[ beta ]==> ((b b)(((a a) a) a)) REDUCED to normal form. ------ 19748/1003413. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))(^a.(^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. ------ 19749/1003503. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(b ((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(b ((^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. ------ 19750/1003557. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(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. ------ 19751/1003566. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 19752/1003584. ------ 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. ------ 19753/1003638. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 19754/1003710. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 19755/1003737. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 19756/1003764. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a a)((^y.a)((^z.z) a))) 6. ==[ alpha ]==> ((a a)((^x.a)((^y.y) a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 19757/1003791. ------ 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. ------ 19758/1003818. ------ 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)((^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. ------ 19759/1003845. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))(^a.a))) 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. ------ 19760/1003935. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (a (a a)))) 5. ==[ beta ]==> (a (b (a (a a)))) REDUCED to normal form. ------ 19761/1003971. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) a)) 5. ==[ beta ]==> (b ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 19762/1003998. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x)) b)) 3. ==[ beta ]==> ((((a a) a) a)(b b)) REDUCED to normal form. ------ 19763/1004016. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)(a (a (^x.x)))) REDUCED to normal form. ------ 19764/1004043. ------ 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 (^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1) 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. ------ 19765/1004106. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a))(^y.y))) REDUCED to normal form. ------ 19766/1004133. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^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. ------ 19767/1004160. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 19768/1004196. ------ 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. ------ 19769/1004223. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 19770/1004250. ------ 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. ------ 19771/1004277. ------ 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))) 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. ------ 19772/1004304. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(z z))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 19773/1004349. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a) b)) 2. ==[ alpha ]==> (((^x.b) a)((^y.a) b)) 3. ==[ beta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 19774/1004358. ------ 1. ==[ start ]==> ((a (a b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 19775/1004367. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 19776/1004511. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a) a)) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 19777/1004529. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 19778/1004538. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b) a)((a (^x.x)) b)) REDUCED to normal form. ------ 19779/1004556. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(b (a (^y.y)))) 3. ==[ beta ]==> ((a b)(b (a (^y.y)))) 4. ==[ alpha ]==> ((a b)(b (a (^x.x)))) REDUCED to normal form. ------ 19780/1004565. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((a a) c)) REDUCED to normal form. ------ 19781/1004583. ------ 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)(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. ------ 19782/1004619. ------ 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)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 19783/1004637. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a a)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(a (^x.x)))) REDUCED to normal form. ------ 19784/1004673. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19785/1004700. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 19786/1004718. ------ 1. ==[ start ]==> (((^a.b)(a a))(a c)) 2. ==[ alpha ]==> (((^x.b)(a a))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 19787/1004727. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 19788/1004745. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (a a))) REDUCED to normal form. ------ 19789/1004763. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(^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. ------ 19790/1004790. ------ 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. ------ 19791/1004817. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 19792/1004844. ------ 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. ------ 19793/1004871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^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. ------ 19794/1004898. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 19795/1004915. ------ 1. ==[ start ]==> (^a.((^a.b) b)) 2. ==[ alpha ]==> (^x.((^y.b) b)) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 19796/1004916. ------ 1. ==[ start ]==> (a ((^a.b) b)) 2. ==[ alpha ]==> (a ((^x.b) b)) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 19797/1007370. ------ 1. ==[ start ]==> (((^a.b) b) a) 2. ==[ alpha ]==> (((^x.b) b) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 19798/1007376. ------ 1. ==[ start ]==> ((^a.a)((^a.b) b)) 2. ==[ alpha ]==> ((^x.x)((^y.b) b)) 3. ==[ beta ]==> ((^y.b) b) 4. ==[ alpha ]==> ((^x.b) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 19799/1007532. ------ 1. ==[ start ]==> (((a a) b)(^c.(a b))) 2. ==[ alpha ]==> (((a a) b)(^x.(a b))) REDUCED to normal form. ------ 19800/1007550. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 19801/1007628. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 19802/1007739. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a y1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(^x1.x1))) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 19803/1007871. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 19804/1008117. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 19805/1008195. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 19806/1008321. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19807/1008450. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.((z z) z))) 3. ==[ beta ]==> (((^y.y) a)(^z.((z z) z))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((y y) y))) 5. ==[ beta ]==> (a (^y.((y y) y))) 6. ==[ alpha ]==> (a (^x.((x x) x))) REDUCED to normal form. ------ 19808/1008753. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^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)) 4. ==[ alpha ]==> (((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1)) a))(((^y1.y1)(^z1.z1)) a)) 5. ==[ beta ]==> ((((^y.y) a)(((^z.z)(^x1.x1)) a))(((^y1.y1)(^z1.z1)) a)) 6. ==[ alpha ]==> ((((^x.x) a)(((^y.y)(^z.z)) a))(((^x1.x1)(^y1.y1)) a)) 7. ==[ beta ]==> ((a (((^y.y)(^z.z)) a))(((^x1.x1)(^y1.y1)) a)) 8. ==[ alpha ]==> ((a (((^x.x)(^y.y)) a))(((^z.z)(^x1.x1)) a)) 9. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1)) a)) 10. ==[ alpha ]==> ((a ((^x.x) 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)((^y.y) a)) 14. ==[ alpha ]==> ((a a)((^x.x) a)) 15. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 19809/1008882. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (b (^x.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 19810/1009008. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 19811/1009086. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 19812/1009266. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(x b))((^y.a) b)) 3. ==[ beta ]==> (((^y.a) b) b) 4. ==[ alpha ]==> (((^x.a) b) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 19813/1009494. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 19814/1009629. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(a (^z.z)))) 3. ==[ beta ]==> (b (^y.(a (^z.z)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 19815/1009638. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.c)) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.c)) REDUCED to normal form. ------ 19816/1009653. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.y1))((^z.(^x1.x1))(^y1.y1)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2)))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))(^x2.x2)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.y1)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.y1))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.x1))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 19817/1009674. ------ 1. ==[ start ]==> (((a a)(a b))(^c.b)) 2. ==[ alpha ]==> (((a a)(a b))(^x.b)) REDUCED to normal form. ------ 19818/1009728. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.x1)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.z)) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 19819/1009809. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 19820/1009827. ------ 1. ==[ start ]==> (((^a.b) b)(^a.a)) 2. ==[ alpha ]==> (((^x.b) b)(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 19821/1009839. ------ 1. ==[ start ]==> ((a a)((^a.b) b)) 2. ==[ alpha ]==> ((a a)((^x.b) b)) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 19822/1009857. ------ 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. ------ 19823/1009884. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 19824/1009911. ------ 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. ------ 19825/1009938. ------ 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)))) 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. ------ 19826/1009965. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((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. ------ 19827/1009983. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 19828/1009992. ------ 1. ==[ start ]==> (((a a) b)((a a)(a b))) REDUCED to normal form. ------ 19829/1010010. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 19830/1010037. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(a a))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 19831/1010091. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 19832/1010109. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 19833/1010136. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 19834/1010172. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 19835/1010199. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 19836/1010280. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 19837/1010334. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 19838/1010406. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.b) a)) 3. ==[ beta ]==> ((a (a a))((^y.b) a)) 4. ==[ alpha ]==> ((a (a a))((^x.b) a)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 19839/1010424. ------ 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. ------ 19840/1010505. ------ 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. ------ 19841/1010532. ------ 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. ------ 19842/1010550. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b (^y.a))) 3. ==[ beta ]==> ((a (a a))(b (^y.a))) 4. ==[ alpha ]==> ((a (a a))(b (^x.a))) REDUCED to normal form. ------ 19843/1010559. ------ 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. ------ 19844/1010577. ------ 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)(a (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 19845/1010631. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 19846/1010658. ------ 1. ==[ start ]==> ((a (^b.(^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)))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((^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. ------ 19847/1010676. ------ 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. ------ 19848/1010703. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 19849/1010757. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a) a) a)) REDUCED to normal form. ------ 19850/1010784. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.x))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 19851/1010793. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19852/1010820. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 19853/1010874. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19854/1010883. ------ 1. ==[ start ]==> (((a (a a)) b)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a)) b)(b (^y.y))) 4. ==[ alpha ]==> (((a (a a)) b)(b (^x.x))) REDUCED to normal form. ------ 19855/1010910. ------ 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. ------ 19856/1010937. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 19857/1010964. ------ 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. ------ 19858/1010991. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.a))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.a))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 19859/1011018. ------ 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. ------ 19860/1011045. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 19861/1011081. ------ 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)(^y.y))(((^z.z)(^x1.x1))(^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))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 19862/1011108. ------ 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. ------ 19863/1011135. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(^z.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. ------ 19864/1011162. ------ 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. ------ 19865/1011189. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 19866/1011216. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> ((a ((a a) a))((^y.y) a)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x) a)) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 19867/1011252. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^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. ------ 19868/1011306. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 19869/1011342. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 19870/1011369. ------ 1. ==[ start ]==> ((((a a) a) a)((a (a a))(a a))) REDUCED to normal form. ------ 19871/1011423. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1)) a)) REDUCED to normal form. ------ 19872/1011450. ------ 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. ------ 19873/1011468. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a (^z.(^x1.x1)))) 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. ------ 19874/1011549. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 19875/1011567. ------ 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. ------ 19876/1011594. ------ 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 (^x.x))(^z.z))((a (a a)) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a)) a)) REDUCED to normal form. ------ 19877/1011621. ------ 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. ------ 19878/1011702. ------ 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. ------ 19879/1011720. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 19880/1011729. ------ 1. ==[ start ]==> ((a (a b))((^b.a) b)) 2. ==[ alpha ]==> ((a (a b))((^x.a) b)) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 19881/1011738. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(c (^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 19882/1011819. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(a a))) IRREDUCIBLE: cycle. ------ 19883/1011900. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 19884/1011909. ------ 1. ==[ start ]==> (((a b) a)(c (a a))) REDUCED to normal form. ------ 19885/1011927. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 19886/1011936. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (a (^y.y)))) REDUCED to normal form. ------ 19887/1011954. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 19888/1011990. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 19889/1012008. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 19890/1012017. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 19891/1012044. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c a)) 3. ==[ beta ]==> (((^y.y)(^z.a))(c a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c a)) 5. ==[ beta ]==> ((^y.a)(c a)) 6. ==[ alpha ]==> ((^x.a)(c a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19892/1012071. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 19893/1012089. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (b ((^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. ------ 19894/1012098. ------ 1. ==[ start ]==> (((a b)(^a.a))(a c)) 2. ==[ alpha ]==> (((a b)(^x.x))(a c)) REDUCED to normal form. ------ 19895/1012116. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 19896/1012134. ------ 1. ==[ start ]==> (((a a)(a b))((a a) b)) REDUCED to normal form. ------ 19897/1012161. ------ 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 (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 19898/1012188. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 19899/1012215. ------ 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. ------ 19900/1012242. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^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. ------ 19901/1012269. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 19902/1012287. ------ 1. ==[ start ]==> (((^a.b) b)(a a)) 2. ==[ alpha ]==> (((^x.b) b)(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 19903/1012295. ------ 1. ==[ start ]==> (^a.((a b)(a a))) 2. ==[ alpha ]==> (^x.((x b)(x x))) REDUCED to normal form. ------ 19904/1012296. ------ 1. ==[ start ]==> (a ((a b)(a a))) REDUCED to normal form. ------ 19905/1014750. ------ 1. ==[ start ]==> (((^a.b) b) b) 2. ==[ alpha ]==> (((^x.b) b) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 19906/1014759. ------ 1. ==[ start ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 19907/1014765. ------ 1. ==[ start ]==> ((^a.a)((a b)(a a))) 2. ==[ alpha ]==> ((^x.x)((a b)(a a))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 19908/1014774. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19909/1014792. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> ((((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)))) REDUCED to normal form. ------ 19910/1014819. ------ 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 REDUCED to normal form. ------ 19911/1014900. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^z.z))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 19912/1014948. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(y y)))) REDUCED to normal form. ------ 19913/1015017. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^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 ]==> (^x.((^z.z)(^x1.a))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.a))) 7. ==[ beta ]==> (^x.(^z.a)) 8. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 19914/1015137. ------ 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) REDUCED to normal form. ------ 19915/1015335. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(y b))) 3. ==[ beta ]==> ((a (a a))(^y.(y b))) 4. ==[ alpha ]==> ((a (a a))(^x.(x b))) REDUCED to normal form. ------ 19916/1015359. ------ 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. ------ 19917/1015515. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.b))) REDUCED to normal form. ------ 19918/1015584. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 19919/1015677. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.((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))) REDUCED to normal form. ------ 19920/1015839. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.a))) 5. ==[ beta ]==> (a (^y.(^z.a))) 6. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 19921/1016271. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 19922/1016406. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 19923/1016475. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 19924/1016631. ------ 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. ------ 19925/1016655. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(a a))) 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. ------ 19926/1016811. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) b)(^x.a)) REDUCED to normal form. ------ 19927/1016973. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19928/1017018. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 19929/1017027. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 19930/1017042. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z)) a)) 3. ==[ beta ]==> (^y.(((a (^z.z)) a)((a (^z.z)) a))) 4. ==[ alpha ]==> (^x.(((a (^y.y)) a)((a (^z.z)) a))) REDUCED to normal form. ------ 19931/1017090. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 19932/1017171. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^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. ------ 19933/1017198. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 19934/1017216. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 19935/1017225. ------ 1. ==[ start ]==> (((a b)(a a))(^a.a)) 2. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 19936/1017237. ------ 1. ==[ start ]==> ((a a)((a b)(a a))) REDUCED to normal form. ------ 19937/1017246. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.b) b)) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 19938/1017264. ------ 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. ------ 19939/1017291. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 19940/1017345. ------ 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))(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. ------ 19941/1017372. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 19942/1017390. ------ 1. ==[ start ]==> (((a a) b)(b (^a.b))) 2. ==[ alpha ]==> (((a a) b)(b (^x.b))) REDUCED to normal form. ------ 19943/1017417. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(a a)))) REDUCED to normal form. ------ 19944/1017435. ------ 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. ------ 19945/1017444. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 19946/1017462. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 19947/1017489. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.a))(^z.a)) 6. ==[ alpha ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 19948/1017525. ------ 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)((^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. ------ 19949/1017570. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 19950/1017597. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 19951/1017606. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(a b))) 3. ==[ beta ]==> (((a (^x.x)) b)(a b)) REDUCED to normal form. ------ 19952/1017633. ------ 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))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 19953/1017651. ------ 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. ------ 19954/1017660. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 19955/1017687. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 19956/1017714. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 19957/1017777. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b ((a a) a))) REDUCED to normal form. ------ 19958/1017804. ------ 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. ------ 19959/1017831. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 19960/1017867. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19961/1017957. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 19962/1017984. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.b))) REDUCED to normal form. ------ 19963/1018029. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 19964/1018038. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 19965/1018056. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 19966/1018146. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 19967/1018191. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19968/1018281. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^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. ------ 19969/1018353. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19970/1018443. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 19971/1018650. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 19972/1018740. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(^b.(^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. ------ 19973/1018785. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a) a)((^y.(y y)) b)) 4. ==[ alpha ]==> (((a a) a)((^x.(x x)) b)) 5. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 19974/1018812. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.a) c)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 19975/1018821. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (^x1.a))) REDUCED to normal form. ------ 19976/1018848. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(y y)))) REDUCED to normal form. ------ 19977/1018875. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 19978/1018902. ------ 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))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 19979/1018929. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 19980/1018947. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 19981/1019073. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b ((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))(b ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 19982/1019100. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a (a (a a)))) REDUCED to normal form. ------ 19983/1019127. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a)(a a))) 3. ==[ beta ]==> ((a (a b))(a (a a))) REDUCED to normal form. ------ 19984/1019136. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a) b)) 3. ==[ beta ]==> ((^y.b)((^z.a) b)) 4. ==[ alpha ]==> ((^x.b)((^y.a) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 19985/1019217. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(^x1.x1))) IRREDUCIBLE: cycle. ------ 19986/1019280. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y) a)) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x) a)) 5. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 19987/1019298. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) 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. ------ 19988/1019307. ------ 1. ==[ start ]==> (((a b) a)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 19989/1019325. ------ 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. ------ 19990/1019334. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 19991/1019388. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 19992/1019406. ------ 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)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 19993/1019415. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 19994/1019442. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a (^z.a))) 5. ==[ beta ]==> ((^y.a)(a (^z.a))) 6. ==[ alpha ]==> ((^x.a)(a (^y.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 19995/1019469. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 19996/1019487. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 19997/1019496. ------ 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. ------ 19998/1019514. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 19999/1019532. ------ 1. ==[ start ]==> (((a a)(a b))(b (a a))) REDUCED to normal form. ------ 20000/1019559. ------ 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. ------ 20001/1019586. ------ 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 (^y.y))((a a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 20002/1019613. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b a)) REDUCED to normal form. ------ 20003/1019640. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(a b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^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. ------ 20004/1019667. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 20005/1019685. ------ 1. ==[ start ]==> (((^a.b) b)(a (^a.a))) 2. ==[ alpha ]==> (((^x.b) b)(a (^y.y))) 3. ==[ beta ]==> (b (a (^y.y))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 20006/1019694. ------ 1. ==[ start ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 20007/1021083. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.((^a.a)(^a.a)))) 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)(^z.z))(^x2.((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 11. ==[ beta ]==> (^x.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 20008/1021983. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.c)) 3. ==[ beta ]==> (^y.((^z.c)(^z.c))) 4. ==[ alpha ]==> (^x.((^y.c)(^z.c))) 5. ==[ beta ]==> (^x.c) REDUCED to normal form. ------ 20009/1022157. ------ 1. ==[ start ]==> (((^a.b) b) c) 2. ==[ alpha ]==> (((^x.b) b) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 20010/1022166. ------ 1. ==[ start ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 20011/1022190. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 20012/1022271. ------ 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. ------ 20013/1022505. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 20014/1022553. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.b))) REDUCED to normal form. ------ 20015/1022751. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.y))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.y))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.x))) REDUCED to normal form. ------ 20016/1023093. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.a))) 3. ==[ beta ]==> ((b b)(^y.(^z.a))) 4. ==[ alpha ]==> ((b b)(^x.(^y.a))) REDUCED to normal form. ------ 20017/1023102. ------ 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. ------ 20018/1023273. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z) z))) 5. ==[ beta ]==> ((^y.y)(^z.((z z) z))) 6. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 7. ==[ beta ]==> (^y.((y y) y)) 8. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 20019/1023558. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((^x.x)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1))))((^x2.x2)((^y2.y2)(^z2.z2)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)((^y1.y1)(^z1.z1))))((^x2.x2)((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)((^x1.x1)(^y1.y1))))((^z1.z1)((^x2.x2)(^y2.y2)))) 7. ==[ beta ]==> (((^y.y)((^z.z)((^x1.x1)(^y1.y1))))((^z1.z1)((^x2.x2)(^y2.y2)))) 8. ==[ alpha ]==> (((^x.x)((^y.y)((^z.z)(^x1.x1))))((^y1.y1)((^z1.z1)(^x2.x2)))) 9. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 10. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 11. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 12. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 13. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(^y1.y1)))) 14. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 15. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 16. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 17. ==[ beta ]==> ((^y.y)(^z.z)) 18. ==[ alpha ]==> ((^x.x)(^y.y)) 19. ==[ beta ]==> (^y.y) 20. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20020/1023561. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(^x.(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 20021/1023891. ------ 1. ==[ start ]==> ((^a.(^a.b))(c c)) 2. ==[ alpha ]==> ((^x.(^y.b))(c c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 20022/1023939. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a (a a)))) REDUCED to normal form. ------ 20023/1024047. ------ 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. ------ 20024/1024227. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.a))) REDUCED to normal form. ------ 20025/1024389. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.c)) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.c)) 5. ==[ beta ]==> ((^y.a)(^z.c)) 6. ==[ alpha ]==> ((^x.a)(^y.c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 20026/1024443. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 20027/1024458. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a c)) 3. ==[ beta ]==> (^y.((a c)(a c))) 4. ==[ alpha ]==> (^x.((a c)(a c))) REDUCED to normal form. ------ 20028/1024461. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.c)) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.c)) REDUCED to normal form. ------ 20029/1024506. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 20030/1024560. ------ 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. ------ 20031/1024587. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(a a))) 5. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 20032/1024614. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 20033/1024632. ------ 1. ==[ start ]==> (((^a.b) b)(^b.a)) 2. ==[ alpha ]==> (((^x.b) b)(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 20034/1024641. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 20035/1024671. ------ 1. ==[ start ]==> ((a (^a.a))((a b)(a a))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(a a))) REDUCED to normal form. ------ 20036/1024680. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b) b)) 2. ==[ alpha ]==> (((^x.x) a)((^y.b) b)) 3. ==[ beta ]==> (a ((^y.b) b)) 4. ==[ alpha ]==> (a ((^x.b) b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 20037/1024698. ------ 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 ]==> ((^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. ------ 20038/1024725. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^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)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 20039/1024752. ------ 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. ------ 20040/1024806. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^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. ------ 20041/1024833. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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. ------ 20042/1024869. ------ 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. ------ 20043/1024896. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 20044/1024932. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 20045/1024950. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((a (a 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. ------ 20046/1024959. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 20047/1024986. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 20048/1025031. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.b))) REDUCED to normal form. ------ 20049/1025058. ------ 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. ------ 20050/1025085. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a) b)) REDUCED to normal form. ------ 20051/1025175. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) 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. ------ 20052/1025229. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.b))) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 20053/1025247. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b) a)) 3. ==[ beta ]==> ((a a)((^y.b) a)) 4. ==[ alpha ]==> ((a a)((^x.b) a)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 20054/1025265. ------ 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. ------ 20055/1025292. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(a (^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. ------ 20056/1025346. ------ 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. ------ 20057/1025373. ------ 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. ------ 20058/1025400. ------ 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. ------ 20059/1025436. ------ 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. ------ 20060/1025463. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 20061/1025499. ------ 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. ------ 20062/1025526. ------ 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)))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 20063/1025553. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 20064/1025571. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 20065/1025580. ------ 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. ------ 20066/1025751. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 20067/1025760. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 20068/1025778. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20069/1025787. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1)) 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. ------ 20070/1025814. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z)) c)) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z)) c)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y)) c)) 5. ==[ beta ]==> ((a (^x.a))(c c)) REDUCED to normal form. ------ 20071/1025832. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 20072/1025931. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 20073/1025958. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> ((a a)((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 20074/1025985. ------ 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. ------ 20075/1026012. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 20076/1026039. ------ 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))((^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. ------ 20077/1026129. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c ((^z.z) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c ((^z.z) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c ((^z.z) a))) 5. ==[ beta ]==> (a (c ((^z.z) a))) 6. ==[ alpha ]==> (a (c ((^x.x) a))) 7. ==[ beta ]==> (a (c a)) REDUCED to normal form. ------ 20078/1026192. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y)) a)) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 20079/1026210. ------ 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. ------ 20080/1026237. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 20081/1026246. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 20082/1026291. ------ 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. ------ 20083/1026327. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20084/1026354. ------ 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. ------ 20085/1026372. ------ 1. ==[ start ]==> ((a (^a.b))(c c)) 2. ==[ alpha ]==> ((a (^x.b))(c c)) REDUCED to normal form. ------ 20086/1026390. ------ 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. ------ 20087/1026417. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 20088/1026444. ------ 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. ------ 20089/1026471. ------ 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)))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 20090/1026498. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 20091/1026525. ------ 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. ------ 20092/1026543. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y)) a)) 3. ==[ beta ]==> (b ((^y.(y y)) a)) 4. ==[ alpha ]==> (b ((^x.(x x)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 20093/1026561. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 20094/1026705. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.a))) REDUCED to normal form. ------ 20095/1026732. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b) a)(((^x.x) a) a)) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 20096/1026750. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (a a))) 2. ==[ alpha ]==> (((^x.x)(a b))(c (a a))) 3. ==[ beta ]==> ((a b)(c (a a))) REDUCED to normal form. ------ 20097/1026759. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y)) b)) REDUCED to normal form. ------ 20098/1026777. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(b (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 20099/1026813. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) a)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 20100/1026831. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.y))(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(a a))) REDUCED to normal form. ------ 20101/1026840. ------ 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)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 20102/1026867. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z) c)) 5. ==[ beta ]==> ((^y.a)((^z.z) c)) 6. ==[ alpha ]==> ((^x.a)((^y.y) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 20103/1026894. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 20104/1026912. ------ 1. ==[ start ]==> (((^a.b)(a a))(b b)) 2. ==[ alpha ]==> (((^x.b)(a a))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 20105/1026921. ------ 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. ------ 20106/1026939. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a c)) 2. ==[ alpha ]==> ((a (^x.(a a)))(a c)) REDUCED to normal form. ------ 20107/1026957. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 20108/1026984. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 20109/1027011. ------ 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 (^y.y))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 20110/1027038. ------ 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. ------ 20111/1027065. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(a a))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 20112/1027092. ------ 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. ------ 20113/1027110. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a) 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. ------ 20114/1027119. ------ 1. ==[ start ]==> (((a b)(a a))(a (^a.a))) 2. ==[ alpha ]==> (((a b)(a a))(a (^x.x))) REDUCED to normal form. ------ 20115/1027136. ------ 1. ==[ start ]==> (^a.((^b.(a a)) a)) 2. ==[ alpha ]==> (^x.((^y.(x x)) x)) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 20116/1027137. ------ 1. ==[ start ]==> (a ((^b.(a a)) a)) 2. ==[ alpha ]==> (a ((^x.(a a)) a)) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 20117/1029417. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.(a (^x1.x1)))(^z.(a (^x1.x1))))) 4. ==[ alpha ]==> (^x.((^y.(a (^z.z)))(^x1.(a (^y1.y1))))) 5. ==[ beta ]==> (^x.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 20118/1029600. ------ 1. ==[ start ]==> (((a b)(a a)) c) REDUCED to normal form. ------ 20119/1029624. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 3. ==[ beta ]==> ((^y.(a a)) a) 4. ==[ alpha ]==> ((^x.(a a)) a) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20120/1029651. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b) b)) 2. ==[ alpha ]==> ((^x.(x x))((^y.b) b)) 3. ==[ beta ]==> (((^y.b) b)((^y.b) b)) 4. ==[ alpha ]==> (((^x.b) b)((^y.b) b)) 5. ==[ beta ]==> (b ((^y.b) b)) 6. ==[ alpha ]==> (b ((^x.b) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 20121/1029678. ------ 1. ==[ start ]==> ((^a.b)((^c.a) c)) 2. ==[ alpha ]==> ((^x.b)((^y.a) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 20122/1029825. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 20123/1029876. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 20124/1029948. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 20125/1030119. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 20126/1030212. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(y b))) 3. ==[ beta ]==> ((a a)(^y.(y b))) 4. ==[ alpha ]==> ((a a)(^x.(x b))) REDUCED to normal form. ------ 20127/1030218. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b) a)) 3. ==[ beta ]==> (((^y.b) a)(((^y.b) a)((^y.b) a))) 4. ==[ alpha ]==> (((^x.b) a)(((^y.b) a)((^z.b) a))) 5. ==[ beta ]==> (b (((^y.b) a)((^z.b) a))) 6. ==[ alpha ]==> (b (((^x.b) a)((^y.b) a))) 7. ==[ beta ]==> (b (b ((^y.b) a))) 8. ==[ alpha ]==> (b (b ((^x.b) a))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 20128/1030374. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((a a) a))) REDUCED to normal form. ------ 20129/1030443. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 20130/1030569. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((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. ------ 20131/1030716. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 7. ==[ beta ]==> (^y.(^z.a)) 8. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 20132/1030725. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 20133/1031001. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(^y.(^z.z)))((a a)(^y.(^z.z))))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 20134/1031157. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 20135/1031265. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 20136/1031334. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 20137/1031508. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(y (y y)))) 3. ==[ beta ]==> (b (^y.(y (y y)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 20138/1031514. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y)) a)) 3. ==[ beta ]==> (((^y.(y y)) a) b) 4. ==[ alpha ]==> (((^x.(x x)) a) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 20139/1031607. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 20140/1031688. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (b (^z.((^x1.x1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 20141/1031778. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 20142/1031832. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(a (^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 20143/1031901. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(((^z.z)(a (^x1.x1)))((^z.z)(a (^x1.x1))))) 4. ==[ alpha ]==> (^x.(((^y.y)(a (^z.z)))((^x1.x1)(a (^y1.y1))))) 5. ==[ beta ]==> (^x.((a (^z.z))((^x1.x1)(a (^y1.y1))))) 6. ==[ alpha ]==> (^x.((a (^y.y))((^z.z)(a (^x1.x1))))) 7. ==[ beta ]==> (^x.((a (^y.y))(a (^x1.x1)))) 8. ==[ alpha ]==> (^x.((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 20144/1031904. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 20145/1032003. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^b.b)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 20146/1032075. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(a a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(y y))) 3. ==[ beta ]==> (b (^y.(y y))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 20147/1032084. ------ 1. ==[ start ]==> (((a b)(a a))(^b.a)) 2. ==[ alpha ]==> (((a b)(a a))(^x.a)) REDUCED to normal form. ------ 20148/1032107. ------ 1. ==[ start ]==> (^a.(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 20149/1032108. ------ 1. ==[ start ]==> (a (^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (a (^x.((^y.y)(x x)))) 3. ==[ beta ]==> (a (^x.(x x))) REDUCED to normal form. ------ 20150/1032114. ------ 1. ==[ start ]==> ((a a)((^b.(a a)) a)) 2. ==[ alpha ]==> ((a a)((^x.(a a)) a)) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 20151/1032132. ------ 1. ==[ start ]==> (((^a.a) a)((a b)(a a))) 2. ==[ alpha ]==> (((^x.x) a)((a b)(a a))) 3. ==[ beta ]==> (a ((a b)(a a))) REDUCED to normal form. ------ 20152/1032141. ------ 1. ==[ start ]==> ((a (a a))((^a.b) b)) 2. ==[ alpha ]==> ((a (a a))((^x.b) b)) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 20153/1032159. ------ 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. ------ 20154/1032168. ------ 1. ==[ start ]==> ((a b)((^c.a) c)) 2. ==[ alpha ]==> ((a b)((^x.a) c)) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 20155/1032186. ------ 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))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 20156/1032213. ------ 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. ------ 20157/1032240. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 20158/1032267. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 20159/1032285. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b (^x1.b))) 3. ==[ beta ]==> ((^y.y)(b (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 20160/1032294. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)(a b))) REDUCED to normal form. ------ 20161/1032312. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 20162/1032339. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^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. ------ 20163/1032366. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 20164/1032384. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.a)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 20165/1032411. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 20166/1032438. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 20167/1032447. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 20168/1032474. ------ 1. ==[ start ]==> (((^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))) 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. ------ 20169/1032528. ------ 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))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 20170/1032609. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 20171/1032699. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (a b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a (a b))) 3. ==[ beta ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 20172/1032708. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b) a)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b) a)) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 20173/1032780. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a b)((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((a b)((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((a b)((a (a a)) a)) REDUCED to normal form. ------ 20174/1032807. ------ 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. ------ 20175/1032834. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 20176/1032852. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b (^x1.a))) 3. ==[ beta ]==> ((^y.y)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 20177/1032861. ------ 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. ------ 20178/1032933. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 20179/1032951. ------ 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. ------ 20180/1032978. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (^z.(z z)))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(y y)))) REDUCED to normal form. ------ 20181/1033005. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 20182/1033059. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 20183/1033068. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a)(^a.a))) 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. ------ 20184/1033095. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^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. ------ 20185/1033149. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 7. ==[ beta ]==> ((^y.a)(^z.(z z))) 8. ==[ alpha ]==> ((^x.a)(^y.(y y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 20186/1033158. ------ 1. ==[ start ]==> (((a (a a)) b)(c (a (a a)))) REDUCED to normal form. ------ 20187/1033185. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a (b ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (a (b ((^x.x)(^y.y)))) 7. ==[ beta ]==> (a (b (^y.y))) 8. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 20188/1033212. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 20189/1033239. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 20190/1033266. ------ 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. ------ 20191/1033293. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 20192/1033320. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (a a)))) 7. ==[ beta ]==> ((a (^y.y))(a (a a))) 8. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 20193/1033383. ------ 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)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 20194/1033410. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((a (a a))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 20195/1033437. ------ 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. ------ 20196/1033464. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 20197/1033491. ------ 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. ------ 20198/1033527. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20199/1033581. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.a))) 5. ==[ beta ]==> (a ((^z.a)(^x1.a))) 6. ==[ alpha ]==> (a ((^x.a)(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20200/1033617. ------ 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. ------ 20201/1033644. ------ 1. ==[ start ]==> ((((a a) a) a)(a ((^a.a)(^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. ------ 20202/1033698. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (a (^x1.x1)))) REDUCED to normal form. ------ 20203/1033725. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 20204/1033743. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b (^z.(z z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b (^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.(z z)))) 5. ==[ beta ]==> ((a ((^y.y) a))(b (^z.(z z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(y y)))) 7. ==[ beta ]==> ((a a)(b (^y.(y y)))) 8. ==[ alpha ]==> ((a a)(b (^x.(x x)))) REDUCED to normal form. ------ 20205/1033752. ------ 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. ------ 20206/1033824. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 20207/1033842. ------ 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. ------ 20208/1033869. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(z z)))) REDUCED to normal form. ------ 20209/1033896. ------ 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. ------ 20210/1033923. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) a) b)) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a) b)) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a) b)) 5. ==[ beta ]==> (((a (a a)) a)(a b)) REDUCED to normal form. ------ 20211/1033995. ------ 1. ==[ start ]==> (((^a.b) a)(a (a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)(a (a (a a)))) 3. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 20212/1034004. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (a b))((^x.(x x)) a)) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 20213/1034094. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.(z z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.(z z)))) IRREDUCIBLE: cycle. ------ 20214/1034157. ------ 1. ==[ start ]==> ((((a a) a) b)(b c)) REDUCED to normal form. ------ 20215/1034175. ------ 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 ((^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. ------ 20216/1034202. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(^a.a))) 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. ------ 20217/1034211. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (a a))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (a a))) REDUCED to normal form. ------ 20218/1034229. ------ 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.(^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. ------ 20219/1034265. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 20220/1034292. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 20221/1034319. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.a)((a a)(a (^y.y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 20222/1034364. ------ 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 ((^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. ------ 20223/1034373. ------ 1. ==[ start ]==> (((a b)(^a.a))(b b)) 2. ==[ alpha ]==> (((a b)(^x.x))(b b)) REDUCED to normal form. ------ 20224/1034391. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 20225/1034409. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x)) a)) REDUCED to normal form. ------ 20226/1034436. ------ 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. ------ 20227/1034463. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) a)) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 20228/1034490. ------ 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. ------ 20229/1034517. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 20230/1034544. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 20231/1034562. ------ 1. ==[ start ]==> (((^a.b) b)(a (a a))) 2. ==[ alpha ]==> (((^x.b) b)(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 20232/1034571. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a) a)) 2. ==[ alpha ]==> (((a b)(a a))((^x.x) a)) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 20233/1034595. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a))) a) 2. ==[ alpha ]==> ((^x.((^y.y)(x x))) a) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20234/1034597. ------ 1. ==[ start ]==> (^a.(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.(x ((^y.y)(x x)))) 3. ==[ beta ]==> (^x.(x (x x))) REDUCED to normal form. ------ 20235/1034598. ------ 1. ==[ start ]==> (a (a ((^a.a)(a a)))) 2. ==[ alpha ]==> (a (a ((^x.x)(a a)))) 3. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 20236/1034601. ------ 1. ==[ start ]==> ((^a.a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (^y.((^z.z)(y y))) 4. ==[ alpha ]==> (^x.((^y.y)(x x))) 5. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 20237/1035195. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(a 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 ]==> (((^y.(y b))(^z.(z b))) b) 6. ==[ alpha ]==> (((^x.(x b))(^y.(y b))) b) 7. ==[ beta ]==> (((^y.(y b)) b) b) 8. ==[ alpha ]==> (((^x.(x b)) b) b) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 20238/1036491. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(y (y y)))) 3. ==[ beta ]==> ((^y.(y (y y))) b) 4. ==[ alpha ]==> ((^x.(x (x x))) b) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 20239/1036878. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 20240/1037085. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.z)) 3. ==[ beta ]==> ((^y.y)((^z.z)(^z.z))) 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. ------ 20241/1037088. ------ 1. ==[ start ]==> ((a ((^a.a)(a a))) a) 2. ==[ alpha ]==> ((a ((^x.x)(a a))) a) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 20242/1037094. ------ 1. ==[ start ]==> ((^a.a)(a ((^a.a)(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))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 20243/1037097. ------ 1. ==[ start ]==> ((a a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)(^x.((^y.y)(x x)))) 3. ==[ beta ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 20244/1037103. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 20245/1037121. ------ 1. ==[ start ]==> ((^a.(a a))((a b)(a a))) 2. ==[ alpha ]==> ((^x.(x x))((a b)(a a))) 3. ==[ beta ]==> (((a b)(a a))((a b)(a a))) REDUCED to normal form. ------ 20246/1037148. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 20247/1037229. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^z.z) a)((^x1.x1)(^y1.y1)))(^y.y)) 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. ------ 20248/1037304. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 20249/1037346. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 20250/1037493. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(a y))) 3. ==[ eta ]==> ((((^x.x) a) a) a) 4. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 20251/1037682. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.y))) 3. ==[ beta ]==> ((a a)(^y.(^z.y))) 4. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 20252/1037688. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (a b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (a b))) 3. ==[ beta ]==> ((a (a b))((a (a b))(a (a b)))) REDUCED to normal form. ------ 20253/1037691. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(a b))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(x b))) REDUCED to normal form. ------ 20254/1037871. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 20255/1037913. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 20256/1038195. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 20257/1038627. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 20258/1038762. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20259/1038804. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 20260/1038978. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 20261/1038984. ------ 1. ==[ start ]==> ((^a.(a b))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))(a (a (a a)))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 20262/1038987. ------ 1. ==[ start ]==> ((a (a b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(x (x x)))) REDUCED to normal form. ------ 20263/1039158. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 20264/1039167. ------ 1. ==[ start ]==> (((a b) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)(^x.((^y.y) a))) 3. ==[ beta ]==> (((a b) a)(^x.a)) REDUCED to normal form. ------ 20265/1039248. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 20266/1039329. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 20267/1039371. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(((a a)(^z.(^x1.x1)))((a a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.(((a a)(^y.(^z.z)))((a a)(^x1.(^y1.y1))))) REDUCED to normal form. ------ 20268/1039374. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 20269/1039392. ------ 1. ==[ start ]==> (((a a)(a b))(^a.c)) 2. ==[ alpha ]==> (((a a)(a b))(^x.c)) REDUCED to normal form. ------ 20270/1039446. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.(a (^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)))) REDUCED to normal form. ------ 20271/1039527. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 20272/1039545. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 20273/1039554. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(a a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(x x))) REDUCED to normal form. ------ 20274/1039578. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(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. ------ 20275/1039581. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.y)) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 20276/1039586. ------ 1. ==[ start ]==> (^a.(^b.(^b.(a a)))) 2. ==[ alpha ]==> (^x.(^y.(^z.(x x)))) REDUCED to normal form. ------ 20277/1039587. ------ 1. ==[ start ]==> (a (^b.(^b.(a a)))) 2. ==[ alpha ]==> (a (^x.(^y.(a a)))) REDUCED to normal form. ------ 20278/1039593. ------ 1. ==[ start ]==> ((a a)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)(a ((^x.x)(a a)))) 3. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 20279/1039602. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) a)) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 20280/1039620. ------ 1. ==[ start ]==> ((a (a a))((a b)(a a))) REDUCED to normal form. ------ 20281/1039629. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) b)) 3. ==[ beta ]==> ((^y.y)((^z.b) b)) 4. ==[ alpha ]==> ((^x.x)((^y.b) b)) 5. ==[ beta ]==> ((^y.b) b) 6. ==[ alpha ]==> ((^x.b) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 20282/1039647. ------ 1. ==[ start ]==> ((a b)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a b)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 20283/1039701. ------ 1. ==[ start ]==> (((a a)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 20284/1039728. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 20285/1039746. ------ 1. ==[ start ]==> (((a a) b)(c (^c.a))) 2. ==[ alpha ]==> (((a a) b)(c (^x.a))) REDUCED to normal form. ------ 20286/1039773. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.b))) REDUCED to normal form. ------ 20287/1039800. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 20288/1039818. ------ 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. ------ 20289/1039827. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 20290/1039845. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 20291/1039881. ------ 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)((^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. ------ 20292/1039926. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 20293/1039962. ------ 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 (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 20294/1039989. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(a b))) 3. ==[ beta ]==> ((a a)((^y.y)(a b))) 4. ==[ alpha ]==> ((a a)((^x.x)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 20295/1040007. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b) a)) 3. ==[ beta ]==> (((^y.y) a)((a b) a)) 4. ==[ alpha ]==> (((^x.x) a)((a b) a)) 5. ==[ beta ]==> (a ((a b) a)) REDUCED to normal form. ------ 20296/1040016. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 20297/1040034. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 20298/1040070. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 20299/1040160. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b ((a a) a))) 3. ==[ beta ]==> ((a (a a))(b ((a a) a))) REDUCED to normal form. ------ 20300/1040178. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(^z.b))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 20301/1040187. ------ 1. ==[ start ]==> ((a (a (a a)))(a (a b))) REDUCED to normal form. ------ 20302/1040196. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b) a)) 3. ==[ beta ]==> ((^y.(y y))((^z.b) a)) 4. ==[ alpha ]==> ((^x.(x x))((^y.b) a)) 5. ==[ beta ]==> (((^y.b) a)((^y.b) a)) 6. ==[ alpha ]==> (((^x.b) a)((^y.b) a)) 7. ==[ beta ]==> (b ((^y.b) a)) 8. ==[ alpha ]==> (b ((^x.b) a)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 20303/1040223. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a) b)) 3. ==[ beta ]==> ((^y.y)((^x1.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 20304/1040340. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.a))) REDUCED to normal form. ------ 20305/1040367. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 20306/1040385. ------ 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) a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 20307/1040412. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 20308/1040502. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^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. ------ 20309/1040547. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 20310/1040574. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 20311/1040637. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 20312/1040664. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.a))(^b.(^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. ------ 20313/1040691. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)(^c.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. ------ 20314/1040835. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 20315/1041006. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1)) 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. ------ 20316/1041060. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a) c)) 5. ==[ beta ]==> (a (((^z.z) a) c)) 6. ==[ alpha ]==> (a (((^x.x) a) c)) 7. ==[ beta ]==> (a (a c)) REDUCED to normal form. ------ 20317/1041096. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^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. ------ 20318/1041123. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)(^b.(^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. ------ 20319/1041141. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 20320/1041168. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1)) 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. ------ 20321/1041231. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.(y y)))) REDUCED to normal form. ------ 20322/1041258. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20323/1041285. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 20324/1041303. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 20325/1041456. ------ 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. ------ 20326/1041474. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 20327/1041483. ------ 1. ==[ start ]==> ((a (a b))(a (a (a a)))) REDUCED to normal form. ------ 20328/1041492. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z)) a)) 3. ==[ beta ]==> ((^y.b)((^z.(z z)) a)) 4. ==[ alpha ]==> ((^x.b)((^y.(y y)) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 20329/1041636. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 20330/1041654. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 20331/1041663. ------ 1. ==[ start ]==> (((a b) a)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a b) a)((^y.y) a)) 4. ==[ alpha ]==> (((a b) a)((^x.x) a)) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 20332/1041681. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) 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. ------ 20333/1041690. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 20334/1041708. ------ 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) REDUCED to normal form. ------ 20335/1041744. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 20336/1041762. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a) a)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a) a)) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 20337/1041798. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(b (^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 20338/1041825. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 20339/1041843. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 20340/1041852. ------ 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. ------ 20341/1041870. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 20342/1041888. ------ 1. ==[ start ]==> (((a a)(a b))(a c)) REDUCED to normal form. ------ 20343/1041915. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (a a))) REDUCED to normal form. ------ 20344/1041942. ------ 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)))) REDUCED to normal form. ------ 20345/1041969. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 20346/1041996. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b a)) 5. ==[ beta ]==> (((^y.y) a)(b a)) 6. ==[ alpha ]==> (((^x.x) a)(b a)) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 20347/1042023. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a b)) REDUCED to normal form. ------ 20348/1042041. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(^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. ------ 20349/1042050. ------ 1. ==[ start ]==> (((a b)(a a))(a (a a))) REDUCED to normal form. ------ 20350/1042074. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a))) b) 2. ==[ alpha ]==> ((^x.((^y.y)(x x))) b) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 20351/1042077. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(a a)) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 20352/1042085. ------ 1. ==[ start ]==> (^a.((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (^x.((^y.y)(^z.(x x)))) 3. ==[ beta ]==> (^x.(^z.(x x))) 4. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 20353/1042086. ------ 1. ==[ start ]==> (a ((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (a ((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (a (^y.(a a))) 4. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 20354/1042089. ------ 1. ==[ start ]==> ((^a.a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 3. ==[ beta ]==> (^y.(^z.(a a))) 4. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 20355/1042098. ------ 1. ==[ start ]==> ((^a.(^a.a))(^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. ------ 20356/1042683. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.y))) 3. ==[ beta ]==> ((^y.(^z.y))((^y.(^z.y))(^y.(^z.y)))) 4. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.z))(^y1.(^z1.y1)))) 5. ==[ beta ]==> (^y.((^z.(^x1.z))(^y1.(^z1.y1)))) 6. ==[ alpha ]==> (^x.((^y.(^z.y))(^x1.(^y1.x1)))) 7. ==[ beta ]==> (^x.(^z.(^x1.(^y1.x1)))) 8. ==[ alpha ]==> (^x.(^y.(^z.(^x1.z)))) REDUCED to normal form. ------ 20357/1043034. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 20358/1043979. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((^y.(^z.(z z))) b) 4. ==[ alpha ]==> ((^x.(^y.(y y))) b) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 20359/1044573. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.(^a.a))) 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. ------ 20360/1044576. ------ 1. ==[ start ]==> ((a ((^a.a)(a a))) b) 2. ==[ alpha ]==> ((a ((^x.x)(a a))) b) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 20361/1044585. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a))) a) 2. ==[ alpha ]==> (((^x.x)(^y.(a a))) a) 3. ==[ beta ]==> ((^y.(a a)) a) 4. ==[ alpha ]==> ((^x.(a a)) a) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20362/1044591. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 20363/1044594. ------ 1. ==[ start ]==> ((a a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 20364/1044600. ------ 1. ==[ start ]==> ((^a.(^a.a))(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. ------ 20365/1044603. ------ 1. ==[ start ]==> ((a (^a.a))(^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. ------ 20366/1044681. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 20367/1044915. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))(a (a a)))) 3. ==[ eta ]==> ((^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. ------ 20368/1045185. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.b))((^y1.y1)(^z1.b)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.b))((^x1.x1)(^y1.b)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 20369/1045188. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.x))) REDUCED to normal form. ------ 20370/1045197. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(z b))) 3. ==[ beta ]==> ((^y.(y y))(^z.(z b))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(y b))) 5. ==[ beta ]==> ((^y.(y b))(^y.(y b))) 6. ==[ alpha ]==> ((^x.(x b))(^y.(y b))) 7. ==[ beta ]==> ((^y.(y b)) b) 8. ==[ alpha ]==> ((^x.(x b)) b) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 20371/1045536. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 20372/1045539. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 20373/1045710. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.((z z) z))) 3. ==[ beta ]==> ((^y.y)(^z.((z z) z))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 20374/1045968. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((^y.(^z.z))(a (a a)))((^y.(^z.z))(a (a a))))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a (a a))))((^y1.(^z1.z1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(a (a a))))((^y1.(^z1.z1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a (a a))))((^x1.(^y1.y1))(a (a a)))) 7. ==[ beta ]==> (((^y.(^z.z))(a (a a)))((^x1.(^y1.y1))(a (a a)))) 8. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a (a a)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 11. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 12. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20375/1046142. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^x.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 20376/1046376. ------ 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. ------ 20377/1046475. ------ 1. ==[ start ]==> (((^a.b) a)(^c.d)) 2. ==[ alpha ]==> (((^x.b) a)(^y.d)) 3. ==[ beta ]==> (b (^y.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 20378/1046481. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z))) b) 4. ==[ alpha ]==> (((^x.x)(^y.(y y))) b) 5. ==[ beta ]==> ((^y.(y y)) b) 6. ==[ alpha ]==> ((^x.(x x)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 20379/1046484. ------ 1. ==[ start ]==> ((a (a b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 20380/1046493. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(z (z z)))) 3. ==[ beta ]==> ((^y.b)(^z.(z (z z)))) 4. ==[ alpha ]==> ((^x.b)(^y.(y (y y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 20381/1046664. ------ 1. ==[ start ]==> (((a b) a)(^c.(^b.a))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.a))) REDUCED to normal form. ------ 20382/1046745. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 20383/1046763. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.((^a.a) a))) 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. ------ 20384/1046826. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 20385/1046868. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b b)) 3. ==[ beta ]==> (^y.((b b)(b b))) 4. ==[ alpha ]==> (^x.((b b)(b b))) REDUCED to normal form. ------ 20386/1046889. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(a (^y.y)))) REDUCED to normal form. ------ 20387/1046943. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 20388/1046997. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 20389/1047024. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 20390/1047042. ------ 1. ==[ start ]==> (((^a.b) b)(^c.a)) 2. ==[ alpha ]==> (((^x.b) b)(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 20391/1047051. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 20392/1047075. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a (^a.a))) 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. ------ 20393/1047078. ------ 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. ------ 20394/1047087. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.z)) 3. ==[ beta ]==> ((^y.(a a))(^z.z)) 4. ==[ alpha ]==> ((^x.(a a))(^y.y)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20395/1047099. ------ 1. ==[ start ]==> ((a a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 3. ==[ beta ]==> ((a a)(^y.(a a))) 4. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 20396/1047108. ------ 1. ==[ start ]==> ((a (^a.a))(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. ------ 20397/1047117. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x) a)((^y.(a a)) a)) 3. ==[ beta ]==> (a ((^y.(a a)) a)) 4. ==[ alpha ]==> (a ((^x.(a a)) a)) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 20398/1047135. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a a))) 3. ==[ beta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 20399/1047144. ------ 1. ==[ start ]==> (((a a) a)((^a.b) b)) 2. ==[ alpha ]==> (((a a) a)((^x.b) b)) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 20400/1047162. ------ 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. ------ 20401/1047189. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 20402/1047243. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^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. ------ 20403/1047270. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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. ------ 20404/1047297. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(a b))) 3. ==[ beta ]==> ((a (^y.y))((a a)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a b))) REDUCED to normal form. ------ 20405/1047333. ------ 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. ------ 20406/1047387. ------ 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)(((^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. ------ 20407/1047396. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 20408/1047423. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((a a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 20409/1047468. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.a))) REDUCED to normal form. ------ 20410/1047495. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a a)(^y.b))) 3. ==[ beta ]==> ((a a)((a a)(^y.b))) 4. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 20411/1047522. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((a b) a)) REDUCED to normal form. ------ 20412/1047549. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a) b)) REDUCED to normal form. ------ 20413/1047612. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 20414/1047639. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 20415/1047693. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.b))) 3. ==[ beta ]==> ((a (a (a a)))(^y.b)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.b)) REDUCED to normal form. ------ 20416/1047702. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (a b))) 3. ==[ beta ]==> ((^y.(y y))(a (a b))) 4. ==[ alpha ]==> ((^x.(x x))(a (a b))) 5. ==[ beta ]==> ((a (a b))(a (a b))) REDUCED to normal form. ------ 20417/1047729. ------ 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. ------ 20418/1047765. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 20419/1047783. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((a (a a))((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 7. ==[ beta ]==> ((a (a a))((^y.y) a)) 8. ==[ alpha ]==> ((a (a a))((^x.x) a)) 9. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 20420/1047810. ------ 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. ------ 20421/1047837. ------ 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 (^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. ------ 20422/1047900. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 20423/1047936. ------ 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. ------ 20424/1047963. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x)) a)(a ((^z.z) a))) 8. ==[ alpha ]==> (((a (^x.x)) a)(a ((^y.y) a))) 9. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 20425/1047990. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 20426/1048008. ------ 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 b)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 20427/1048017. ------ 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. ------ 20428/1048044. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^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. ------ 20429/1048188. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(b ((^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. ------ 20430/1048215. ------ 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))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 20431/1048251. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 20432/1048269. ------ 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. ------ 20433/1048341. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 20434/1048395. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(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. ------ 20435/1048422. ------ 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. ------ 20436/1048449. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a a)((^y.a)((^z.z) a))) 6. ==[ alpha ]==> ((a a)((^x.a)((^y.y) a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 20437/1048476. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 20438/1048647. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 20439/1048674. ------ 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. ------ 20440/1048683. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b b)) REDUCED to normal form. ------ 20441/1048710. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a) c)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a) c)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a) c)) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 20442/1048728. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^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 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. ------ 20443/1048791. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 20444/1048827. ------ 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. ------ 20445/1048854. ------ 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.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 20446/1048881. ------ 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. ------ 20447/1048908. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.y))) 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. ------ 20448/1048935. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 20449/1048962. ------ 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. ------ 20450/1048989. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((a (a b))(^y.(y y))) 4. ==[ alpha ]==> ((a (a b))(^x.(x x))) REDUCED to normal form. ------ 20451/1048998. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (a (a a)))) 3. ==[ beta ]==> ((^y.b)(a (a (a a)))) 4. ==[ alpha ]==> ((^x.b)(a (a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 20452/1049079. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)((^z.z) a))) IRREDUCIBLE: cycle. ------ 20453/1049142. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 20454/1049160. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 20455/1049169. ------ 1. ==[ start ]==> (((a b) a)((a a)(^b.a))) 2. ==[ alpha ]==> (((a b) a)((a a)(^x.a))) REDUCED to normal form. ------ 20456/1049196. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a) a)) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 20457/1049250. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 20458/1049268. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(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. ------ 20459/1049277. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a) a)) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 20460/1049304. ------ 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. ------ 20461/1049349. ------ 1. ==[ start ]==> (((^a.b)(a a))(c a)) 2. ==[ alpha ]==> (((^x.b)(a a))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 20462/1049358. ------ 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. ------ 20463/1049376. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b b)) 2. ==[ alpha ]==> ((a (^x.(a a)))(b b)) REDUCED to normal form. ------ 20464/1049394. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(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. ------ 20465/1049421. ------ 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 (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 20466/1049448. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 20467/1049475. ------ 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. ------ 20468/1049502. ------ 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. ------ 20469/1049529. ------ 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. ------ 20470/1049547. ------ 1. ==[ start ]==> (((^a.b) b)((a a) a)) 2. ==[ alpha ]==> (((^x.b) b)((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 20471/1049556. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 20472/1049583. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (^y.y))) 3. ==[ beta ]==> ((a (a a))(a (^y.y))) 4. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 20473/1049592. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a a)) 3. ==[ beta ]==> ((^y.(a a))(a a)) 4. ==[ alpha ]==> ((^x.(a a))(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20474/1049613. ------ 1. ==[ start ]==> ((^a.(^a.a))(^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. ------ 20475/1051494. ------ 1. ==[ start ]==> ((^a.(a b))(^c.d)) 2. ==[ alpha ]==> ((^x.(x b))(^y.d)) 3. ==[ beta ]==> ((^y.d) b) 4. ==[ alpha ]==> ((^x.d) b) 5. ==[ beta ]==> d REDUCED to normal form. ------ 20476/1052088. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.a)) 3. ==[ beta ]==> ((^y.y)((^z.a)(^z.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. ------ 20477/1052100. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a))) b) 2. ==[ alpha ]==> (((^x.x)(^y.(a a))) b) 3. ==[ beta ]==> ((^y.(a a)) b) 4. ==[ alpha ]==> ((^x.(a a)) b) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20478/1052124. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 20479/1052127. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 20480/1052136. ------ 1. ==[ start ]==> (((^a.a) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (a (^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (a (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (a (^x.(x x))) REDUCED to normal form. ------ 20481/1052142. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.(x x))((^y.(a a)) a)) 3. ==[ beta ]==> (((^y.(a a)) a)((^y.(a a)) a)) 4. ==[ alpha ]==> (((^x.(a a)) a)((^y.(a a)) a)) 5. ==[ beta ]==> ((a a)((^y.(a a)) a)) 6. ==[ alpha ]==> ((a a)((^x.(a a)) a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 20482/1052169. ------ 1. ==[ start ]==> ((^a.b)((^a.b) b)) 2. ==[ alpha ]==> ((^x.b)((^y.b) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 20483/1052343. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^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. ------ 20484/1052367. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)(a a))) 3. ==[ beta ]==> (^y.((^z.b)(a a))) 4. ==[ alpha ]==> (^x.((^y.b)(a a))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 20485/1052439. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))(^z.(z z)))) 3. ==[ eta ]==> ((^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. ------ 20486/1052532. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(a z))) 3. ==[ eta ]==> (((^x.x)((^y.y) a)) a) 4. ==[ beta ]==> (((^y.y) a) a) 5. ==[ alpha ]==> (((^x.x) a) a) 6. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20487/1052610. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 20488/1052721. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.y))) 5. ==[ beta ]==> ((^y.(^z.y))(^y.(^z.y))) 6. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.z))) 7. ==[ beta ]==> (^y.(^z.(^x1.z))) 8. ==[ alpha ]==> (^x.(^y.(^z.y))) REDUCED to normal form. ------ 20489/1052910. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.b))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.b))) REDUCED to normal form. ------ 20490/1052934. ------ 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. ------ 20491/1053072. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.((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. ------ 20492/1053234. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 20493/1053243. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.((z z) z))) REDUCED to normal form. ------ 20494/1053492. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((a (^x.x))(^y.(y y)))((a (^z.z))(^x1.(x1 x1))))((a (^y1.y1))(^z1.(z1 z1)))) REDUCED to normal form. ------ 20495/1053531. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 20496/1053666. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(^b.(^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. ------ 20497/1053825. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 20498/1054008. ------ 1. ==[ start ]==> ((a (a b))(^c.d)) 2. ==[ alpha ]==> ((a (a b))(^x.d)) REDUCED to normal form. ------ 20499/1054017. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(z z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 20500/1054206. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a b)(^y.((^z.z) a))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y) a))) 5. ==[ beta ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 20501/1054287. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.a))) REDUCED to normal form. ------ 20502/1054296. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.((^a.a) a))) 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. ------ 20503/1054368. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 20504/1054392. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(a a))((^z.(^x1.x1))(a a)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a)))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1))(a a)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(a a)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(a a))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(a a))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 20505/1054413. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 20506/1054521. ------ 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. ------ 20507/1054566. ------ 1. ==[ start ]==> (((^a.b) b)(^a.b)) 2. ==[ alpha ]==> (((^x.b) b)(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 20508/1054575. ------ 1. ==[ start ]==> (((a b)(a a))(^c.a)) 2. ==[ alpha ]==> (((a b)(a a))(^x.a)) REDUCED to normal form. ------ 20509/1054599. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a) 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. ------ 20510/1054602. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.a)) 3. ==[ beta ]==> ((a (a a))(^y.a)) 4. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 20511/1054611. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20512/1054641. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 20513/1054650. ------ 1. ==[ start ]==> (((^a.a) a)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(a ((^y.y)(a a)))) 3. ==[ beta ]==> (a (a ((^y.y)(a a)))) 4. ==[ alpha ]==> (a (a ((^x.x)(a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 20514/1054659. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a (a a))((^x.(a a)) a)) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 20515/1054677. ------ 1. ==[ start ]==> (((a a) a)((a b)(a a))) REDUCED to normal form. ------ 20516/1054686. ------ 1. ==[ start ]==> ((a b)((^a.b) b)) 2. ==[ alpha ]==> ((a b)((^x.b) b)) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 20517/1054704. ------ 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. ------ 20518/1054731. ------ 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 ((^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. ------ 20519/1054758. ------ 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. ------ 20520/1054785. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) b)(a (^y.y))) 6. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 20521/1054812. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))((a a) a))) REDUCED to normal form. ------ 20522/1054830. ------ 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))) REDUCED to normal form. ------ 20523/1054839. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 20524/1054857. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(a (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 20525/1054884. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)(a a))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 20526/1054902. ------ 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. ------ 20527/1054929. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.a)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.a)) REDUCED to normal form. ------ 20528/1054956. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 20529/1054965. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 20530/1054992. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 20531/1055046. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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))) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 20532/1055073. ------ 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)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 20533/1055127. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 20534/1055217. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b ((a a) a))) 3. ==[ beta ]==> ((a a)(b ((a a) a))) REDUCED to normal form. ------ 20535/1055235. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.b))) 5. ==[ beta ]==> (((^y.y)(^z.b))((^y.y)(^z.b))) 6. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.b))) 7. ==[ beta ]==> ((^y.b)((^z.z)(^x1.b))) 8. ==[ alpha ]==> ((^x.b)((^y.y)(^z.b))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 20536/1055298. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 20537/1055325. ------ 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. ------ 20538/1055352. ------ 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. ------ 20539/1055379. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 20540/1055406. ------ 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. ------ 20541/1055424. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(a (^y.b))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.b))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.b))) REDUCED to normal form. ------ 20542/1055451. ------ 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) REDUCED to normal form. ------ 20543/1055469. ------ 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. ------ 20544/1055496. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (a a))(^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))(^y.a))) REDUCED to normal form. ------ 20545/1055523. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (^z.(z z)))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 20546/1055550. ------ 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. ------ 20547/1055586. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20548/1055667. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 7. ==[ beta ]==> ((^y.(y y))(^z.a)) 8. ==[ alpha ]==> ((^x.(x x))(^y.a)) 9. ==[ beta ]==> ((^y.a)(^y.a)) 10. ==[ alpha ]==> ((^x.a)(^y.a)) 11. ==[ beta ]==> a REDUCED to normal form. ------ 20549/1055721. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))(^b.(^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. ------ 20550/1055730. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 20551/1055757. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a ((a a) a))) REDUCED to normal form. ------ 20552/1055784. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 20553/1055811. ------ 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. ------ 20554/1055838. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((^y.y) a)((^z.z) 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. ------ 20555/1055928. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x) 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)((^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. ------ 20556/1055955. ------ 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. ------ 20557/1055982. ------ 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))) 7. ==[ beta ]==> ((a a)(a (^y.a))) 8. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 20558/1056009. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 20559/1056045. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1)(^x2.x2)))) 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. ------ 20560/1056099. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 20561/1056135. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c ((^z.z) a))) 3. ==[ beta ]==> (((^y.y) b)(c ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) b)(c ((^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. ------ 20562/1056162. ------ 1. ==[ start ]==> ((((a a) a) a)(b (a (a a)))) REDUCED to normal form. ------ 20563/1056180. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 20564/1056216. ------ 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. ------ 20565/1056243. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (a (^y.y)))) REDUCED to normal form. ------ 20566/1056270. ------ 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 (^y.y)) a)) REDUCED to normal form. ------ 20567/1056297. ------ 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. ------ 20568/1056342. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a (^x.b))((a a)(a a))) REDUCED to normal form. ------ 20569/1056360. ------ 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. ------ 20570/1056387. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 20571/1056414. ------ 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. ------ 20572/1056441. ------ 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. ------ 20573/1056468. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a) b)) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a) b)) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a) b)) 7. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 20574/1056513. ------ 1. ==[ start ]==> (((^a.b) a)(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)(b ((^y.y) a))) 3. ==[ beta ]==> (b (b ((^y.y) a))) 4. ==[ alpha ]==> (b (b ((^x.x) a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 20575/1056531. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.b)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 20576/1056612. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b (^z.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.a))) IRREDUCIBLE: cycle. ------ 20577/1056675. ------ 1. ==[ start ]==> ((((a a) a) b)(c b)) REDUCED to normal form. ------ 20578/1056693. ------ 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 ((^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. ------ 20579/1056702. ------ 1. ==[ start ]==> (((a b) a)(b c)) REDUCED to normal form. ------ 20580/1056720. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 20581/1056747. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 20582/1056783. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 20583/1056801. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (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. ------ 20584/1056810. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 20585/1056837. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(a a))) 5. ==[ beta ]==> ((^y.a)((a (^z.z))(a a))) 6. ==[ alpha ]==> ((^x.a)((a (^y.y))(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 20586/1056864. ------ 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. ------ 20587/1056882. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(a (^y.a))) 3. ==[ beta ]==> (b (a (^y.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 20588/1056891. ------ 1. ==[ start ]==> (((a b)(^a.a))(c a)) 2. ==[ alpha ]==> (((a b)(^x.x))(c a)) REDUCED to normal form. ------ 20589/1056909. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 20590/1056927. ------ 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. ------ 20591/1056954. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y)) a)) REDUCED to normal form. ------ 20592/1056981. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a a) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a) b)) 5. ==[ beta ]==> ((a (^y.y))((a a) b)) 6. ==[ alpha ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 20593/1057008. ------ 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. ------ 20594/1057035. ------ 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. ------ 20595/1057062. ------ 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. ------ 20596/1057080. ------ 1. ==[ start ]==> (((^a.b) b)(a b)) 2. ==[ alpha ]==> (((^x.b) b)(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 20597/1057089. ------ 1. ==[ start ]==> (((a b)(a a))((a a) a)) REDUCED to normal form. ------ 20598/1057116. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y) a)) 3. ==[ beta ]==> ((a (a a))((^y.y) a)) 4. ==[ alpha ]==> ((a (a a))((^x.x) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 20599/1057125. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.z))) 3. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 4. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20600/1057142. ------ 1. ==[ start ]==> (^a.(b (a b))) 2. ==[ alpha ]==> (^x.(b (x b))) REDUCED to normal form. ------ 20601/1057143. ------ 1. ==[ start ]==> (a (b (a b))) REDUCED to normal form. ------ 20602/1057173. ------ 1. ==[ start ]==> ((^a.(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((^y.((^z.z)(y y)))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((^y.y)((^z.((^x1.x1)(z z)))(^z.((^x1.x1)(z z))))) 6. ==[ alpha ]==> ((^x.x)((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1))))) 7. ==[ beta ]==> ((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1)))) 8. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((^x1.x1)(z z)))) IRREDUCIBLE: cycle. ------ 20603/1059630. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(z z))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^z.(z z)))) 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. ------ 20604/1059642. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a))) c) 2. ==[ alpha ]==> (((^x.x)(^y.(a a))) c) 3. ==[ beta ]==> ((^y.(a a)) c) 4. ==[ alpha ]==> ((^x.(a a)) c) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20605/1059666. ------ 1. ==[ start ]==> ((^a.a)(b (a b))) 2. ==[ alpha ]==> ((^x.x)(b (a b))) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 20606/1059687. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(a a)))) 3. ==[ beta ]==> (a (^y.(^z.(a a)))) 4. ==[ alpha ]==> (a (^x.(^y.(a a)))) REDUCED to normal form. ------ 20607/1059693. ------ 1. ==[ start ]==> ((^a.(a a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a a))(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 20608/1059696. ------ 1. ==[ start ]==> ((a (a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 20609/1059720. ------ 1. ==[ start ]==> ((^a.b)((a b)(a a))) 2. ==[ alpha ]==> ((^x.b)((a b)(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 20610/1059801. ------ 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. ------ 20611/1059903. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 20612/1059918. ------ 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. ------ 20613/1060092. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(a y))) 3. ==[ eta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 20614/1060260. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b ((a a) a))) 3. ==[ beta ]==> ((b ((a a) a))((b ((a a) a))(b ((a a) a)))) REDUCED to normal form. ------ 20615/1060470. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 20616/1060485. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 20617/1060623. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20618/1060794. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.a))) REDUCED to normal form. ------ 20619/1061082. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 20620/1061361. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 20621/1061376. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a))(^z.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 20622/1061556. ------ 1. ==[ start ]==> ((^a.(a b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))(b ((^y.y) a))) 3. ==[ beta ]==> ((b ((^y.y) a)) b) 4. ==[ alpha ]==> ((b ((^x.x) a)) b) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 20623/1061568. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.d)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.d)) 3. ==[ beta ]==> ((^y.b)(^z.d)) 4. ==[ alpha ]==> ((^x.b)(^y.d)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 20624/1061757. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.a))) 3. ==[ beta ]==> ((a b)(^y.(^z.a))) 4. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 20625/1061766. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.b))(^y.a)) REDUCED to normal form. ------ 20626/1061847. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 20627/1061919. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.c)) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.c)) 3. ==[ beta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 20628/1061928. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 20629/1061943. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.(((a (^z.z))(^x1.x1))((a (^z.z))(^x1.x1)))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(^z.z))((a (^x1.x1))(^y1.y1)))) REDUCED to normal form. ------ 20630/1062045. ------ 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. ------ 20631/1062117. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(a a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(a a))) 3. ==[ beta ]==> (b (^y.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 20632/1062126. ------ 1. ==[ start ]==> (((a b)(a a))(^a.b)) 2. ==[ alpha ]==> (((a b)(a a))(^x.b)) REDUCED to normal form. ------ 20633/1062150. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a (a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(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. ------ 20634/1062153. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(y y))) 3. ==[ beta ]==> ((a (a a))(^y.(y y))) 4. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 20635/1062162. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.a)) 3. ==[ beta ]==> ((^y.(a a))(^z.a)) 4. ==[ alpha ]==> ((^x.(a a))(^y.a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20636/1062192. ------ 1. ==[ start ]==> ((a a)(b (a b))) REDUCED to normal form. ------ 20637/1062210. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(^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 (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 20638/1062219. ------ 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. ------ 20639/1062228. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20640/1062246. ------ 1. ==[ start ]==> ((a b)((a b)(a a))) REDUCED to normal form. ------ 20641/1062255. ------ 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)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 20642/1062300. ------ 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))((^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. ------ 20643/1062327. ------ 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. ------ 20644/1062399. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 20645/1062426. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(a a)))) REDUCED to normal form. ------ 20646/1062444. ------ 1. ==[ start ]==> ((a (^b.a))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((a b)(^y.y))) REDUCED to normal form. ------ 20647/1062480. ------ 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)((^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. ------ 20648/1062525. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((^y.a)((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((^x.a)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 20649/1062552. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 20650/1062561. ------ 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 (^x.x)) b) a) REDUCED to normal form. ------ 20651/1062588. ------ 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 20652/1062606. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(^z.b))) 3. ==[ beta ]==> (((^y.y) a)((a a)(^z.b))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(^y.b))) 5. ==[ beta ]==> (a ((a a)(^y.b))) 6. ==[ alpha ]==> (a ((a a)(^x.b))) REDUCED to normal form. ------ 20653/1062615. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a b))) 3. ==[ beta ]==> (((a a)(^x.a))(a b)) REDUCED to normal form. ------ 20654/1062633. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 20655/1062642. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 20656/1062786. ------ 1. ==[ start ]==> ((a (a (a a)))(b ((a a) a))) REDUCED to normal form. ------ 20657/1062822. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.b) a)) 3. ==[ beta ]==> ((^y.y)((^x1.b) a)) 4. ==[ alpha ]==> ((^x.x)((^y.b) a)) 5. ==[ beta ]==> ((^y.b) a) 6. ==[ alpha ]==> ((^x.b) a) 7. ==[ beta ]==> b REDUCED to normal form. ------ 20658/1062876. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 7. ==[ beta ]==> ((^y.(^z.z)) c) 8. ==[ alpha ]==> ((^x.(^y.y)) c) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20659/1062939. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 20660/1062966. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 20661/1062993. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.b))) REDUCED to normal form. ------ 20662/1063011. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 20663/1063101. ------ 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)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 20664/1063146. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^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 ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20665/1063173. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 20666/1063236. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a (a a)) b)((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 20667/1063263. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (a ((^y.a)(^z.(z z)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(y y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20668/1063290. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 20669/1063362. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1)) 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. ------ 20670/1063434. ------ 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)(^y.y))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 20671/1063461. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)(^y.y))) REDUCED to normal form. ------ 20672/1063605. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 20673/1063659. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a)) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a)) b)) 5. ==[ beta ]==> (a ((a (a a)) b)) REDUCED to normal form. ------ 20674/1063695. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.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. ------ 20675/1063722. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 20676/1063767. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20677/1063821. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a) c)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a) c)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a) c)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a) c)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a) c)) 7. ==[ beta ]==> ((a a)((^y.a) c)) 8. ==[ alpha ]==> ((a a)((^x.a) c)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 20678/1063830. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (^y.a))) REDUCED to normal form. ------ 20679/1063857. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20680/1063884. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 20681/1063902. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))(^y.y))) REDUCED to normal form. ------ 20682/1064073. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 20683/1064082. ------ 1. ==[ start ]==> ((a (a b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))(b ((^x.x) a))) 3. ==[ beta ]==> ((a (a b))(b a)) REDUCED to normal form. ------ 20684/1064235. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(a a))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 20685/1064253. ------ 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 ((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 20686/1064262. ------ 1. ==[ start ]==> (((a b) a)((^a.(^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. ------ 20687/1064280. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)(^b.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. ------ 20688/1064289. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 20689/1064307. ------ 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)(((^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. ------ 20690/1064343. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 20691/1064370. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.a)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 20692/1064397. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.z))) 5. ==[ beta ]==> ((^y.a)(c (^z.z))) 6. ==[ alpha ]==> ((^x.a)(c (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 20693/1064424. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 20694/1064442. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y) c)) 3. ==[ beta ]==> (b ((^y.y) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 20695/1064451. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 20696/1064469. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 20697/1064487. ------ 1. ==[ start ]==> (((a a)(a b))(b b)) REDUCED to normal form. ------ 20698/1064541. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^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 (^y.y))(b (a a))) 6. ==[ alpha ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 20699/1064568. ------ 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. ------ 20700/1064595. ------ 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. ------ 20701/1064622. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b a)) REDUCED to normal form. ------ 20702/1064640. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 20703/1064649. ------ 1. ==[ start ]==> (((a b)(a a))(a b)) REDUCED to normal form. ------ 20704/1064676. ------ 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. ------ 20705/1064685. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a) 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. ------ 20706/1064711. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 20707/1064712. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 20708/1064742. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(a a)))(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(a a)))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 20709/1067199. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(^a.a))) 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. ------ 20710/1067238. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b)) a) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b)) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 20711/1067244. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20712/1067253. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (a b))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20713/1067271. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^y.y)(^z.(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. ------ 20714/1067274. ------ 1. ==[ start ]==> ((a (a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 20715/1067283. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^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. ------ 20716/1067334. ------ 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. ------ 20717/1067568. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ eta ]==> ((^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. ------ 20718/1067670. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 20719/1067877. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(x1 b))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 20720/1068189. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.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. ------ 20721/1068621. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((^x.a)((^y.y) a))((^z.a)((^x1.x1) a)))((^y1.a)((^z1.z1) a))) 5. ==[ beta ]==> ((a ((^z.a)((^x1.x1) a)))((^y1.a)((^z1.z1) a))) 6. ==[ alpha ]==> ((a ((^x.a)((^y.y) a)))((^z.a)((^x1.x1) a))) 7. ==[ beta ]==> ((a a)((^z.a)((^x1.x1) a))) 8. ==[ alpha ]==> ((a a)((^x.a)((^y.y) a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 20722/1068822. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.((^z1.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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 20723/1069056. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(a (a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(a (a a)))) REDUCED to normal form. ------ 20724/1069134. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.a)) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.a)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 20725/1069344. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 20726/1069497. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(a (^z.z)))) 3. ==[ beta ]==> (b (^y.(a (^z.z)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 20727/1069506. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.c)) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.c)) REDUCED to normal form. ------ 20728/1069521. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c a)) 3. ==[ beta ]==> (^y.((c a)(c a))) 4. ==[ alpha ]==> (^x.((c a)(c a))) REDUCED to normal form. ------ 20729/1069569. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 20730/1069623. ------ 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. ------ 20731/1069677. ------ 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. ------ 20732/1069695. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 20733/1069704. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(a a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(a a))) REDUCED to normal form. ------ 20734/1069728. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)(^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. ------ 20735/1069731. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 20736/1069740. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(z z))) 3. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20737/1069767. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20738/1069779. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 20739/1069788. ------ 1. ==[ start ]==> ((a (^a.a))(b (a b))) 2. ==[ alpha ]==> ((a (^x.x))(b (a b))) REDUCED to normal form. ------ 20740/1069806. ------ 1. ==[ start ]==> ((a (a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> ((a (a a))(^y.(a a))) 4. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 20741/1069815. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(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. ------ 20742/1069824. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a) a)((^x.(a a)) a)) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 20743/1069842. ------ 1. ==[ start ]==> (((^a.a)(a a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a b)(a a))) 3. ==[ beta ]==> ((a a)((a b)(a a))) REDUCED to normal form. ------ 20744/1069851. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b) b)) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 20745/1069869. ------ 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. ------ 20746/1069878. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a) c)) 2. ==[ alpha ]==> (((^x.x) b)((^y.a) c)) 3. ==[ beta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 20747/1069923. ------ 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. ------ 20748/1069950. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 7. ==[ beta ]==> (a ((^y.y)(^z.z))) 8. ==[ alpha ]==> (a ((^x.x)(^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 20749/1069977. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 20750/1070004. ------ 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 b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 20751/1070049. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(a a))) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 20752/1070067. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 20753/1070103. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) 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)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 20754/1070148. ------ 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 (^x.x)) b)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 20755/1070202. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.b))) REDUCED to normal form. ------ 20756/1070229. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b) a)) REDUCED to normal form. ------ 20757/1070256. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a) b)) 3. ==[ beta ]==> ((a (^y.y))(((a a) a) b)) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a) b)) REDUCED to normal form. ------ 20758/1070292. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 20759/1070319. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 20760/1070346. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 20761/1070382. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b ((a a) a))) 3. ==[ beta ]==> ((^y.(y y))(b ((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))(b ((a a) a))) 5. ==[ beta ]==> ((b ((a a) a))(b ((a a) a))) REDUCED to normal form. ------ 20762/1070409. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 20763/1070445. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 20764/1070463. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 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. ------ 20765/1070472. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 20766/1070490. ------ 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. ------ 20767/1070517. ------ 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. ------ 20768/1070571. ------ 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. ------ 20769/1070643. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 20770/1070670. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a (a (^x.x)))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((a (a (^x.x)))(a ((^z.z) a))) 8. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.y) a))) 9. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 20771/1070688. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 20772/1070697. ------ 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. ------ 20773/1070724. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 20774/1070823. ------ 1. ==[ start ]==> (((a (a a)) b)((a (a a)) c)) REDUCED to normal form. ------ 20775/1070895. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 20776/1070931. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a) a)) 3. ==[ beta ]==> ((a (^y.a))((^z.a) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.a) a)) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 20777/1070949. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 20778/1070958. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 20779/1071048. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 20780/1071102. ------ 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. ------ 20781/1071129. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> ((a a)((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 20782/1071156. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 20783/1071282. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a) c)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a) c)) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a) c)) 5. ==[ beta ]==> (b (((^y.y) a) c)) 6. ==[ alpha ]==> (b (((^x.x) a) c)) 7. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 20784/1071327. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b (a (a a)))) 3. ==[ beta ]==> (((a a) a)(b (a (a a)))) REDUCED to normal form. ------ 20785/1071354. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a ((^y1.y1)(^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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 20786/1071363. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 20787/1071390. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z)) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y)) b)) 5. ==[ beta ]==> ((a (^x.(x x)))(b b)) REDUCED to normal form. ------ 20788/1071408. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(a (^z.z)))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(a (^z.z)))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(a (^y.y)))) 9. ==[ beta ]==> ((a a)(a (a (^y.y)))) 10. ==[ alpha ]==> ((a a)(a (a (^x.x)))) REDUCED to normal form. ------ 20789/1071417. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a) c)) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 20790/1071507. ------ 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. ------ 20791/1071534. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 20792/1071561. ------ 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. ------ 20793/1071588. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a (a a)) a)(a (a a))) REDUCED to normal form. ------ 20794/1071615. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.z))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^z.z))) 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. ------ 20795/1071642. ------ 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. ------ 20796/1071660. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y)) c)) 3. ==[ beta ]==> (b ((a (^y.y)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 20797/1071669. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 20798/1071678. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b ((^z.z) a))) 3. ==[ beta ]==> ((^y.b)(b ((^z.z) a))) 4. ==[ alpha ]==> ((^x.b)(b ((^y.y) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 20799/1071759. ------ 1. ==[ start ]==> (((^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.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(a (^x1.x1)))) IRREDUCIBLE: cycle. ------ 20800/1071822. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) 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. ------ 20801/1071840. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 20802/1071849. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 20803/1071867. ------ 1. ==[ start ]==> (((^a.a)(a b))(b c)) 2. ==[ alpha ]==> (((^x.x)(a b))(b c)) 3. ==[ beta ]==> ((a b)(b c)) REDUCED to normal form. ------ 20804/1071876. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 20805/1071930. ------ 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)) REDUCED to normal form. ------ 20806/1071948. ------ 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. ------ 20807/1071984. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a) a)) 5. ==[ beta ]==> ((^y.a)((^z.a) a)) 6. ==[ alpha ]==> ((^x.a)((^y.a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 20808/1072011. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 20809/1072029. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)(a (^y.y)))) 3. ==[ beta ]==> (b ((a a)(a (^y.y)))) 4. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 20810/1072038. ------ 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. ------ 20811/1072056. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c a)) 2. ==[ alpha ]==> ((a (^x.(a a)))(c a)) REDUCED to normal form. ------ 20812/1072074. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 20813/1072101. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(a (^y.y))) REDUCED to normal form. ------ 20814/1072128. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 20815/1072155. ------ 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. ------ 20816/1072182. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.z))) 5. ==[ beta ]==> (((^y.y) a)(b (^z.z))) 6. ==[ alpha ]==> (((^x.x) a)(b (^y.y))) 7. ==[ beta ]==> (a (b (^y.y))) 8. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 20817/1072209. ------ 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. ------ 20818/1072227. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(^a.a))) 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. ------ 20819/1072236. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(a a))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 20820/1072263. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)(^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. ------ 20821/1072272. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (a a))) 3. ==[ beta ]==> ((^y.(a a))(a (a a))) 4. ==[ alpha ]==> ((^x.(a a))(a (a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20822/1072299. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20823/1072563. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (^y.(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (^x.(^y.(^z.(y y)))) REDUCED to normal form. ------ 20824/1073130. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 20825/1074021. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 20826/1074588. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.((^z.(^x1.z))(^z.(^x1.z)))) 4. ==[ alpha ]==> (^x.((^y.(^z.y))(^x1.(^y1.x1)))) 5. ==[ beta ]==> (^x.(^z.(^x1.(^y1.x1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.z)))) REDUCED to normal form. ------ 20827/1074834. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b)) b) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b)) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 20828/1074858. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 20829/1074888. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^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. ------ 20830/1074897. ------ 1. ==[ start ]==> (((a a) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 20831/1074903. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.b)((^y.(a a)) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 20832/1075101. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (^z.(a a)))) 3. ==[ beta ]==> (^y.(a (^z.(a a)))) 4. ==[ alpha ]==> (^x.(a (^y.(a a)))) REDUCED to normal form. ------ 20833/1075104. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 20834/1075173. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ eta ]==> ((^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. ------ 20835/1075293. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(^y.y))(a (^z.z))) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 20836/1075482. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 20837/1075668. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 20838/1075671. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 20839/1075794. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((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. ------ 20840/1075833. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 20841/1076004. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((z z) z))) 3. ==[ beta ]==> ((a (^y.a))(^z.((z z) z))) 4. ==[ alpha ]==> ((a (^x.a))(^y.((y y) y))) REDUCED to normal form. ------ 20842/1076226. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> (((((^x.x) a)(^y.a))(((^z.z) a)(^x1.a)))(((^y1.y1) a)(^z1.a))) 5. ==[ beta ]==> (((a (^y.a))(((^z.z) a)(^x1.a)))(((^y1.y1) a)(^z1.a))) 6. ==[ alpha ]==> (((a (^x.a))(((^y.y) a)(^z.a)))(((^x1.x1) a)(^y1.a))) 7. ==[ beta ]==> (((a (^x.a))(a (^z.a)))(((^x1.x1) a)(^y1.a))) 8. ==[ alpha ]==> (((a (^x.a))(a (^y.a)))(((^z.z) a)(^x1.a))) 9. ==[ beta ]==> (((a (^x.a))(a (^y.a)))(a (^x1.a))) 10. ==[ alpha ]==> (((a (^x.a))(a (^y.a)))(a (^z.a))) REDUCED to normal form. ------ 20843/1076427. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 20844/1076436. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 20845/1076559. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 20846/1076562. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 20847/1076739. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y)) c)) 3. ==[ beta ]==> (((a (^y.y)) c) b) 4. ==[ alpha ]==> (((a (^x.x)) c) b) REDUCED to normal form. ------ 20848/1076967. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 20849/1077057. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.((^a.a) a))) 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. ------ 20850/1077111. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 20851/1077126. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a (^z.a))) 3. ==[ beta ]==> (^y.((a (^z.a))(a (^z.a)))) 4. ==[ alpha ]==> (^x.((a (^y.a))(a (^z.a)))) REDUCED to normal form. ------ 20852/1077129. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 20853/1077282. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 20854/1077309. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 20855/1077333. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((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. ------ 20856/1077345. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20857/1077372. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(^a.a))) 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. ------ 20858/1077402. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 20859/1077411. ------ 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. ------ 20860/1077429. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 20861/1077438. ------ 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. ------ 20862/1077447. ------ 1. ==[ start ]==> ((a b)((^b.(a a)) a)) 2. ==[ alpha ]==> ((a b)((^x.(a a)) a)) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 20863/1077465. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(a a))) REDUCED to normal form. ------ 20864/1077492. ------ 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. ------ 20865/1077519. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 20866/1077546. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 20867/1077573. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) 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)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 20868/1077600. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 20869/1077618. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(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. ------ 20870/1077627. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(a b))) REDUCED to normal form. ------ 20871/1077645. ------ 1. ==[ start ]==> ((a (^b.a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 20872/1077663. ------ 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. ------ 20873/1077690. ------ 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. ------ 20874/1077717. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 20875/1077726. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 20876/1077753. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (a a))) 6. ==[ alpha ]==> ((^x.(x x))(a (a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 20877/1077807. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (a ((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 20878/1077834. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 20879/1078023. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.b))) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 20880/1078059. ------ 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. ------ 20881/1078086. ------ 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)((^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. ------ 20882/1078113. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a (a a)) a)) REDUCED to normal form. ------ 20883/1078140. ------ 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. ------ 20884/1078167. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))((^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. ------ 20885/1078185. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (^y.a))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.a))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.a))) REDUCED to normal form. ------ 20886/1078194. ------ 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. ------ 20887/1078212. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 20888/1078230. ------ 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. ------ 20889/1078257. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 20890/1078284. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 20891/1078311. ------ 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. ------ 20892/1078338. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 20893/1078347. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^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. ------ 20894/1078374. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 20895/1078428. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^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. ------ 20896/1078482. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 7. ==[ beta ]==> ((^y.a)(^z.(z z))) 8. ==[ alpha ]==> ((^x.a)(^y.(y y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 20897/1078491. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (a (a a)))) REDUCED to normal form. ------ 20898/1078509. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.(^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. ------ 20899/1078518. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b ((^z.z)(^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. ------ 20900/1078545. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a ((a a) a))) 3. ==[ beta ]==> ((a (^y.a))(a ((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))(a ((a a) a))) REDUCED to normal form. ------ 20901/1078572. ------ 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. ------ 20902/1078599. ------ 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. ------ 20903/1078716. ------ 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. ------ 20904/1078743. ------ 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. ------ 20905/1078770. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) 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. ------ 20906/1078806. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^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. ------ 20907/1078860. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 20908/1078941. ------ 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)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 20909/1078968. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.(^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. ------ 20910/1078977. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1)(^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. ------ 20911/1079004. ------ 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. ------ 20912/1079031. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a (a (^y.y)))) REDUCED to normal form. ------ 20913/1079058. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20914/1079085. ------ 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. ------ 20915/1079103. ------ 1. ==[ start ]==> ((a (^a.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 20916/1079121. ------ 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. ------ 20917/1079148. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 20918/1079175. ------ 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. ------ 20919/1079202. ------ 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. ------ 20920/1079229. ------ 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. ------ 20921/1079256. ------ 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. ------ 20922/1079274. ------ 1. ==[ start ]==> (((^a.b) a)(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(c (a (^y.y)))) 3. ==[ beta ]==> (b (c (a (^y.y)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 20923/1079283. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((a (a b))((a (^x.x)) c)) REDUCED to normal form. ------ 20924/1079292. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 20925/1079454. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(a a))) 3. ==[ beta ]==> (b ((^z.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 20926/1079463. ------ 1. ==[ start ]==> (((a b) a)(c b)) REDUCED to normal form. ------ 20927/1079481. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 20928/1079490. ------ 1. ==[ start ]==> (((a a)(^a.b))(b c)) 2. ==[ alpha ]==> (((a a)(^x.b))(b c)) REDUCED to normal form. ------ 20929/1079508. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 20930/1079544. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 20931/1079562. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 20932/1079571. ------ 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. ------ 20933/1079598. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a ((^z.z) a))) 5. ==[ beta ]==> ((^y.a)(a ((^z.z) a))) 6. ==[ alpha ]==> ((^x.a)(a ((^y.y) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 20934/1079625. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 20935/1079643. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 20936/1079652. ------ 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. ------ 20937/1079670. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 20938/1079688. ------ 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. ------ 20939/1079715. ------ 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. ------ 20940/1079742. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z)) a)) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z)) a)) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 20941/1079769. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a a) b)) REDUCED to normal form. ------ 20942/1079796. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) a)) 7. ==[ beta ]==> (a ((^y.(^z.z)) a)) 8. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 20943/1079823. ------ 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. ------ 20944/1079841. ------ 1. ==[ start ]==> (((^a.b) b)(b a)) 2. ==[ alpha ]==> (((^x.b) b)(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 20945/1079850. ------ 1. ==[ start ]==> (((a b)(a a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 20946/1079877. ------ 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. ------ 20947/1079886. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20948/1079913. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (^a.a))) 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. ------ 20949/1079988. ------ 1. ==[ start ]==> ((^a.b)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 20950/1082211. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.c)) 3. ==[ beta ]==> (^y.((^z.c)(^z.c))) 4. ==[ alpha ]==> (^x.((^y.c)(^z.c))) 5. ==[ beta ]==> (^x.c) REDUCED to normal form. ------ 20951/1082418. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.b)) 3. ==[ beta ]==> ((^y.y)((^z.b)(^z.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. ------ 20952/1082457. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b)) c) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b)) c) 3. ==[ beta ]==> ((^y.y) c) 4. ==[ alpha ]==> ((^x.x) c) 5. ==[ beta ]==> c REDUCED to normal form. ------ 20953/1082508. ------ 1. ==[ start ]==> ((^a.(a a))(b (a b))) 2. ==[ alpha ]==> ((^x.(x x))(b (a b))) 3. ==[ beta ]==> ((b (a b))(b (a b))) REDUCED to normal form. ------ 20954/1082529. ------ 1. ==[ start ]==> (((a a) a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 20955/1082535. ------ 1. ==[ start ]==> ((^a.b)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)(a ((^y.y)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 20956/1082538. ------ 1. ==[ start ]==> ((a b)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)(^x.((^y.y)(x x)))) 3. ==[ beta ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 20957/1082571. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 20958/1082616. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))((^y1.y1) a))(^y.y)) 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. ------ 20959/1082934. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 20960/1082976. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 20961/1083636. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 20962/1084068. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 20963/1084371. ------ 1. ==[ start ]==> ((^a.(a b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(c (a (^y.y)))) 3. ==[ beta ]==> ((c (a (^y.y))) b) 4. ==[ alpha ]==> ((c (a (^x.x))) b) REDUCED to normal form. ------ 20964/1084527. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 20965/1084689. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 20966/1084758. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z) c)) 3. ==[ beta ]==> (^y.(((^z.z) c)((^z.z) c))) 4. ==[ alpha ]==> (^x.(((^y.y) c)((^z.z) c))) 5. ==[ beta ]==> (^x.(c ((^z.z) c))) 6. ==[ alpha ]==> (^x.(c ((^y.y) c))) 7. ==[ beta ]==> (^x.(c c)) REDUCED to normal form. ------ 20967/1084761. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.c)) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.c)) REDUCED to normal form. ------ 20968/1084887. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^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)))) REDUCED to normal form. ------ 20969/1084932. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 20970/1084965. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(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. ------ 20971/1084968. ------ 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. ------ 20972/1084977. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.a)) 3. ==[ beta ]==> ((^y.(a a))(^z.a)) 4. ==[ alpha ]==> ((^x.(a a))(^y.a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 20973/1085004. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.a)) 3. ==[ beta ]==> ((^y.y)(^x1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 20974/1085052. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 20975/1085061. ------ 1. ==[ start ]==> ((a (a a))(b (a b))) REDUCED to normal form. ------ 20976/1085079. ------ 1. ==[ start ]==> (((a a) a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a a) a)(^y.(a a))) 4. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 20977/1085088. ------ 1. ==[ start ]==> ((a b)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)(a ((^x.x)(a a)))) 3. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 20978/1085097. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a)) a)) 3. ==[ beta ]==> ((a a)((^y.(a a)) a)) 4. ==[ alpha ]==> ((a a)((^x.(a a)) a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 20979/1085124. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b) b)) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 20980/1085142. ------ 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. ------ 20981/1085169. ------ 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)))((^z.z) a)) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.y) a)) 7. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 20982/1085268. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.b))) REDUCED to normal form. ------ 20983/1085322. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 5. ==[ beta ]==> ((^y.b)(a a)) 6. ==[ alpha ]==> ((^x.b)(a a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 20984/1085367. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 20985/1085394. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(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. ------ 20986/1085403. ------ 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 (^x.x)) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 20987/1085430. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 20988/1085457. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 20989/1085475. ------ 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)((a a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 20990/1085484. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 20991/1085511. ------ 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))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 20992/1085529. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a) b)) REDUCED to normal form. ------ 20993/1085619. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 20994/1085745. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 20995/1085835. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b (^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.a))) REDUCED to normal form. ------ 20996/1085943. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 20997/1085988. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 20998/1086069. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 20999/1086078. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 21000/1086105. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.a))) 5. ==[ beta ]==> (a ((^y.(y y))(^z.a))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.a))) 7. ==[ beta ]==> (a ((^y.a)(^y.a))) 8. ==[ alpha ]==> (a ((^x.a)(^y.a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21001/1086132. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 21002/1086159. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))(^b.(^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. ------ 21003/1086186. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.a))(^z.a)) 6. ==[ alpha ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 21004/1086276. ------ 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)(^y.y))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 21005/1086303. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 21006/1086330. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)((a a)(^y.y))) 8. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 21007/1086447. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(z1 z1)))) 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. ------ 21008/1086501. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1)) a)) 6. ==[ alpha ]==> (a (((^x.x)(^y.y)) a)) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21009/1086537. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(^a.(^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. ------ 21010/1086564. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 21011/1086618. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(^b.(^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. ------ 21012/1086663. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z)) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z)) b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z)) b)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z)) b)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y)) b)) 7. ==[ beta ]==> ((a a)((^y.(y y)) b)) 8. ==[ alpha ]==> ((a a)((^x.(x x)) b)) 9. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 21013/1086726. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 21014/1086915. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 21015/1086924. ------ 1. ==[ start ]==> ((a (a b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))(c (a (^x.x)))) REDUCED to normal form. ------ 21016/1086933. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z)) c)) 3. ==[ beta ]==> ((^y.b)((a (^z.z)) c)) 4. ==[ alpha ]==> ((^x.b)((a (^y.y)) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 21017/1087014. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a) b)) IRREDUCIBLE: cycle. ------ 21018/1087077. ------ 1. ==[ start ]==> ((((a a) a) b)(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(a (^x.(x x)))) REDUCED to normal form. ------ 21019/1087095. ------ 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 (((^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. ------ 21020/1087104. ------ 1. ==[ start ]==> (((a b) a)((^b.a)(a a))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(a a))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 21021/1087122. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 21022/1087131. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 21023/1087149. ------ 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 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. ------ 21024/1087185. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 21025/1087203. ------ 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)) REDUCED to normal form. ------ 21026/1087212. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(^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. ------ 21027/1087239. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(^y1.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. ------ 21028/1087284. ------ 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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 21029/1087293. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 21030/1087311. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) c)) 3. ==[ beta ]==> ((a (^x.(a a))) c) REDUCED to normal form. ------ 21031/1087329. ------ 1. ==[ start ]==> (((a a)(a b))(c a)) REDUCED to normal form. ------ 21032/1087356. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b b)) REDUCED to normal form. ------ 21033/1087410. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b (a a))) REDUCED to normal form. ------ 21034/1087437. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(a (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(a (a (^z.z)))) 5. ==[ beta ]==> (((^y.y) a)(a (a (^z.z)))) 6. ==[ alpha ]==> (((^x.x) a)(a (a (^y.y)))) 7. ==[ beta ]==> (a (a (a (^y.y)))) 8. ==[ alpha ]==> (a (a (a (^x.x)))) REDUCED to normal form. ------ 21035/1087464. ------ 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. ------ 21036/1087482. ------ 1. ==[ start ]==> (((^a.b) b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 21037/1087491. ------ 1. ==[ start ]==> (((a b)(a a))(b a)) REDUCED to normal form. ------ 21038/1087518. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(a b)) 3. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 21039/1087527. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a) a)) 3. ==[ beta ]==> ((^y.(a a))((a a) a)) 4. ==[ alpha ]==> ((^x.(a a))((a a) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21040/1087554. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a) 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. ------ 21041/1087580. ------ 1. ==[ start ]==> (^a.((^b.a)(^c.a))) 2. ==[ alpha ]==> (^x.((^y.x)(^z.x))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 21042/1087581. ------ 1. ==[ start ]==> (a ((^b.a)(^c.a))) 2. ==[ alpha ]==> (a ((^x.a)(^y.a))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21043/1087638. ------ 1. ==[ start ]==> ((^a.b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 21044/1087836. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(a b))) 3. ==[ beta ]==> (^y.(^z.(a b))) 4. ==[ alpha ]==> (^x.(^y.(a b))) REDUCED to normal form. ------ 21045/1088403. ------ 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. ------ 21046/1089294. ------ 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. ------ 21047/1089861. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.(a (^x1.x1)))(^z.(a (^x1.x1))))) 4. ==[ alpha ]==> (^x.((^y.(a (^z.z)))(^x1.(a (^y1.y1))))) 5. ==[ beta ]==> (^x.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 21048/1090068. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^z.(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. ------ 21049/1090140. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 3. ==[ beta ]==> ((^y.a)(^z.a)) 4. ==[ alpha ]==> ((^x.a)(^y.a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 21050/1090167. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.b))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21051/1090194. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 21052/1090197. ------ 1. ==[ start ]==> ((a b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 21053/1090206. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a a)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 21054/1090230. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 21055/1090392. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(a b))) 3. ==[ beta ]==> (^y.((a a)(a b))) 4. ==[ alpha ]==> (^x.((a a)(a b))) REDUCED to normal form. ------ 21056/1090395. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(a b))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(a b))) REDUCED to normal form. ------ 21057/1090413. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 21058/1090734. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^z.(^x1.x1)))(((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))(((^x1.a)(^y1.(^z1.z1)))((^x2.a)(^y2.(^z2.z2))))) 5. ==[ beta ]==> (a (((^x1.a)(^y1.(^z1.z1)))((^x2.a)(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (a (((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1))))) 7. ==[ beta ]==> (a (a ((^x1.a)(^y1.(^z1.z1))))) 8. ==[ alpha ]==> (a (a ((^x.a)(^y.(^z.z))))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 21059/1090959. ------ 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. ------ 21060/1090962. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 21061/1090980. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.b))) REDUCED to normal form. ------ 21062/1091085. ------ 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. ------ 21063/1091313. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.((z z) z))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 21064/1091517. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((^x.(x x))(a (^y.y)))((^z.(z z))(a (^x1.x1))))((^y1.(y1 y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((((a (^y.y))(a (^y.y)))((^z.(z z))(a (^x1.x1))))((^y1.(y1 y1))(a (^z1.z1)))) 6. ==[ alpha ]==> ((((a (^x.x))(a (^y.y)))((^z.(z z))(a (^x1.x1))))((^y1.(y1 y1))(a (^z1.z1)))) 7. ==[ beta ]==> ((((a (^x.x))(a (^y.y)))((a (^x1.x1))(a (^x1.x1))))((^y1.(y1 y1))(a (^z1.z1)))) 8. ==[ alpha ]==> ((((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1))))((^y1.(y1 y1))(a (^z1.z1)))) 9. ==[ beta ]==> ((((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1))))((a (^z1.z1))(a (^z1.z1)))) 10. ==[ alpha ]==> ((((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1))))((a (^y1.y1))(a (^z1.z1)))) REDUCED to normal form. ------ 21065/1091850. ------ 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. ------ 21066/1091853. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(a (a a)))) REDUCED to normal form. ------ 21067/1091871. ------ 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. ------ 21068/1091979. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 21069/1092030. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.z))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 21070/1092348. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.c)) 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. ------ 21071/1092417. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)(a (^z.z)))) 3. ==[ beta ]==> (^y.(((a a)(a (^z.z)))((a a)(a (^z.z))))) 4. ==[ alpha ]==> (^x.(((a a)(a (^y.y)))((a a)(a (^z.z))))) REDUCED to normal form. ------ 21072/1092420. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 21073/1092438. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.x))) REDUCED to normal form. ------ 21074/1092492. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 21075/1092546. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 21076/1092591. ------ 1. ==[ start ]==> (((^a.b) b)(^b.b)) 2. ==[ alpha ]==> (((^x.b) b)(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 21077/1092600. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 21078/1092624. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 7. ==[ beta ]==> ((a a)((^y.y)(a a))) 8. ==[ alpha ]==> ((a a)((^x.x)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 21079/1092627. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(a a))) 3. ==[ beta ]==> ((a (a a))(^y.(a a))) 4. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 21080/1092636. ------ 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. ------ 21081/1092663. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(x1 x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 21082/1092702. ------ 1. ==[ start ]==> ((a a)((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 21083/1092729. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 21084/1092738. ------ 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. ------ 21085/1092756. ------ 1. ==[ start ]==> ((a b)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.x)(^y.(a a)))) 3. ==[ beta ]==> ((a b)(^y.(a a))) 4. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 21086/1092765. ------ 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. ------ 21087/1092774. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 21088/1092792. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 21089/1092801. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b) b)) 2. ==[ alpha ]==> (((^x.x) b)((^y.b) b)) 3. ==[ beta ]==> (b ((^y.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 21090/1092846. ------ 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) 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. ------ 21091/1092873. ------ 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. ------ 21092/1092900. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 21093/1092927. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.y)((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. ------ 21094/1092954. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(a b))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(a b))) REDUCED to normal form. ------ 21095/1092972. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 21096/1092990. ------ 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. ------ 21097/1092999. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 21098/1093071. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 21099/1093098. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 21100/1093125. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 21101/1093152. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.b))) REDUCED to normal form. ------ 21102/1093179. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b) a)) 3. ==[ beta ]==> ((a (^y.y))((a b) a)) 4. ==[ alpha ]==> ((a (^x.x))((a b) a)) REDUCED to normal form. ------ 21103/1093242. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 21104/1093269. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 21105/1093296. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 21106/1093332. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 21107/1093368. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b) a)) 3. ==[ beta ]==> ((a b)((^y.b) a)) 4. ==[ alpha ]==> ((a b)((^x.b) a)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 21108/1093386. ------ 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. ------ 21109/1093413. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a (a a))(a (^y.y))) 8. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 21110/1093422. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 21111/1093440. ------ 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.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. ------ 21112/1093494. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((a (^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. ------ 21113/1093521. ------ 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. ------ 21114/1093539. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.b))) REDUCED to normal form. ------ 21115/1093593. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 21116/1093611. ------ 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 b)((a (a a))(^y.a))) 4. ==[ alpha ]==> ((b b)((a (a a))(^x.a))) REDUCED to normal form. ------ 21117/1093620. ------ 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. ------ 21118/1093647. ------ 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)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 21119/1093746. ------ 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. ------ 21120/1093872. ------ 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 (^y.y)))(a ((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 21121/1093908. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 7. ==[ beta ]==> ((^y.(^z.z)) b) 8. ==[ alpha ]==> ((^x.(^y.y)) b) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21122/1093998. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 21123/1094052. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 21124/1094079. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 21125/1094115. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c d)) 3. ==[ beta ]==> ((^y.y)(c d)) 4. ==[ alpha ]==> ((^x.x)(c d)) 5. ==[ beta ]==> (c d) REDUCED to normal form. ------ 21126/1094205. ------ 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. ------ 21127/1094277. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 21128/1094313. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 21129/1094331. ------ 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. ------ 21130/1094340. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y)) b)) 3. ==[ beta ]==> (((a (a a))(^x.a))(b b)) REDUCED to normal form. ------ 21131/1094367. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21132/1094412. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(a (a a)))) REDUCED to normal form. ------ 21133/1094430. ------ 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. ------ 21134/1094457. ------ 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))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 21135/1094484. ------ 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. ------ 21136/1094511. ------ 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)) 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. ------ 21137/1094538. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (a a)))) 7. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 21138/1094565. ------ 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. ------ 21139/1094583. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 21140/1094592. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 21141/1094601. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (a (^z.z)))) 3. ==[ beta ]==> ((^y.b)(c (a (^z.z)))) 4. ==[ alpha ]==> ((^x.b)(c (a (^y.y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 21142/1094682. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(a a))) IRREDUCIBLE: cycle. ------ 21143/1094772. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a b) a)(a (^y.y))) 4. ==[ alpha ]==> (((a b) a)(a (^x.x))) REDUCED to normal form. ------ 21144/1094790. ------ 1. ==[ start ]==> (((^a.a)(a b))(c b)) 2. ==[ alpha ]==> (((^x.x)(a b))(c b)) 3. ==[ beta ]==> ((a b)(c b)) REDUCED to normal form. ------ 21145/1094799. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 21146/1094817. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 21147/1094853. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 21148/1094880. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y)) b)) REDUCED to normal form. ------ 21149/1094907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a) c)) 5. ==[ beta ]==> ((^y.a)((a a) c)) 6. ==[ alpha ]==> ((^x.a)((a a) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 21150/1094934. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 21151/1094952. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y))(a a))) 3. ==[ beta ]==> (b ((a (^y.y))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 21152/1094961. ------ 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. ------ 21153/1094979. ------ 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. ------ 21154/1094997. ------ 1. ==[ start ]==> (((a a)(a b))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(a b))(a (^x.a))) REDUCED to normal form. ------ 21155/1095024. ------ 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 (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 21156/1095051. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 21157/1095078. ------ 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. ------ 21158/1095105. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^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. ------ 21159/1095132. ------ 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. ------ 21160/1095150. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a) b)) 2. ==[ alpha ]==> (((^x.b) b)((^y.y) b)) 3. ==[ beta ]==> (b ((^y.y) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 21161/1095159. ------ 1. ==[ start ]==> (((a b)(a a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 21162/1095186. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 21163/1095195. ------ 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. ------ 21164/1095222. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(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. ------ 21165/1097835. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 21166/1097892. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 21167/1097901. ------ 1. ==[ start ]==> (((a a)(^a.a))(^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. ------ 21168/1098078. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (^z.b))) 3. ==[ beta ]==> (^y.(b (^z.b))) 4. ==[ alpha ]==> (^x.(b (^y.b))) REDUCED to normal form. ------ 21169/1098150. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a)(^z.(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 21170/1098321. ------ 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. ------ 21171/1098495. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(y b))) 3. ==[ beta ]==> ((a b)(^y.(y b))) 4. ==[ alpha ]==> ((a b)(^x.(x b))) REDUCED to normal form. ------ 21172/1098645. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 21173/1098771. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21174/1098999. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 21175/1099008. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 21176/1099203. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a (a a))(^y.(^z.z)))((a (a a))(^y.(^z.z))))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a (a a))(^x.(^y.y)))((a (a a))(^z.(^x1.x1))))((a (a a))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 21177/1099296. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a (^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a (^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (^x.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 21178/1099440. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.((^a.a)(^a.a)))) 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)))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 21179/1099536. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (^z.(z z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 21180/1099716. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a) b)) 3. ==[ beta ]==> ((((^y.y) a) b) b) 4. ==[ alpha ]==> ((((^x.x) a) b) b) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 21181/1099872. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) b)(^x.a)) REDUCED to normal form. ------ 21182/1099890. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 21183/1100061. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 21184/1100103. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((b (^z.(^x1.x1)))(b (^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.((b (^y.(^z.z)))(b (^x1.(^y1.y1))))) REDUCED to normal form. ------ 21185/1100124. ------ 1. ==[ start ]==> (((a a)(a b))(^b.c)) 2. ==[ alpha ]==> (((a a)(a b))(^x.c)) REDUCED to normal form. ------ 21186/1100277. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(a a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(a a))) 3. ==[ beta ]==> (b (^y.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 21187/1100286. ------ 1. ==[ start ]==> (((a b)(a a))(^b.b)) 2. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 21188/1100310. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)(^a.a))) 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. ------ 21189/1100322. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a a))) 3. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21190/1100349. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(^a.a))) 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. ------ 21191/1100406. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 21192/1100433. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 21193/1100442. ------ 1. ==[ start ]==> (((a a) a)(b (a b))) REDUCED to normal form. ------ 21194/1100460. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 21195/1100469. ------ 1. ==[ start ]==> (((a a)(^a.a))(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. ------ 21196/1100496. ------ 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. ------ 21197/1100505. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b) b)) 2. ==[ alpha ]==> (((a a)(a a))((^x.b) b)) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 21198/1100523. ------ 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. ------ 21199/1100550. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a) b)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a) b)((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a) b)((^y.y) a)) 6. ==[ alpha ]==> (((a a) b)((^x.x) a)) 7. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 21200/1100577. ------ 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. ------ 21201/1100604. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(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. ------ 21202/1100631. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 21203/1100649. ------ 1. ==[ start ]==> ((a (^b.a))(b (^a.b))) 2. ==[ alpha ]==> ((a (^x.a))(b (^y.b))) REDUCED to normal form. ------ 21204/1100694. ------ 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. ------ 21205/1100721. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 21206/1100730. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 21207/1100757. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^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. ------ 21208/1100811. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21209/1100838. ------ 1. ==[ start ]==> (((^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))) 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. ------ 21210/1100892. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 21211/1100910. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a) a) b)) 3. ==[ beta ]==> (((a a) a)(((a a) a) b)) REDUCED to normal form. ------ 21212/1101000. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (a ((^x1.a)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21213/1101027. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^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. ------ 21214/1101063. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a (a b))) 3. ==[ beta ]==> ((a b)(a (a b))) REDUCED to normal form. ------ 21215/1101090. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a) a)(a a))) REDUCED to normal form. ------ 21216/1101117. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 21217/1101144. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a (a a)) a)) REDUCED to normal form. ------ 21218/1101171. ------ 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. ------ 21219/1101198. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 21220/1101216. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 21221/1101261. ------ 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 (^x.x)) a)(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)(^y.y))) REDUCED to normal form. ------ 21222/1101288. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 21223/1101315. ------ 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. ------ 21224/1101342. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 21225/1101351. ------ 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. ------ 21226/1101378. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))((^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. ------ 21227/1101486. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 7. ==[ beta ]==> ((^y.(y y))(^z.a)) 8. ==[ alpha ]==> ((^x.(x x))(^y.a)) 9. ==[ beta ]==> ((^y.a)(^y.a)) 10. ==[ alpha ]==> ((^x.a)(^y.a)) 11. ==[ beta ]==> a REDUCED to normal form. ------ 21228/1101513. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 21229/1101549. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.a))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.a))(b (^y.y))) REDUCED to normal form. ------ 21230/1101576. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 21231/1101603. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(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. ------ 21232/1101747. ------ 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)((^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. ------ 21233/1101774. ------ 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. ------ 21234/1101810. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1) 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. ------ 21235/1101864. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.x)((^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. ------ 21236/1101945. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 21237/1101972. ------ 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.(^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. ------ 21238/1101981. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (a (a a)))) REDUCED to normal form. ------ 21239/1102008. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 21240/1102035. ------ 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. ------ 21241/1102062. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21242/1102089. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 21243/1102107. ------ 1. ==[ start ]==> ((a (^a.b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(b (^y.(y y)))) REDUCED to normal form. ------ 21244/1102152. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.z))) REDUCED to normal form. ------ 21245/1102179. ------ 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. ------ 21246/1102206. ------ 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))) REDUCED to normal form. ------ 21247/1102233. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 21248/1102260. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (a a)) a)) REDUCED to normal form. ------ 21249/1102287. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a) b)) 3. ==[ beta ]==> ((a (a b))(a b)) REDUCED to normal form. ------ 21250/1102296. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 21251/1102440. ------ 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. ------ 21252/1102458. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (^z.(z z)))) 3. ==[ beta ]==> (b (a (^z.(z z)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 21253/1102485. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(a a))) 3. ==[ beta ]==> ((a b)((^y.a)(a a))) 4. ==[ alpha ]==> ((a b)((^x.a)(a a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 21254/1102494. ------ 1. ==[ start ]==> (((a a)(^a.b))(c b)) 2. ==[ alpha ]==> (((a a)(^x.b))(c b)) REDUCED to normal form. ------ 21255/1102512. ------ 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))(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. ------ 21256/1102566. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(^y.y))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 21257/1102602. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b (a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(b (a (^z.z)))) 6. ==[ alpha ]==> ((^x.a)(b (a (^y.y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 21258/1102629. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 21259/1102647. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (^y.y))) 3. ==[ beta ]==> (b (c (^y.y))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 21260/1102656. ------ 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. ------ 21261/1102674. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 21262/1102692. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a) c)) 2. ==[ alpha ]==> (((a a)(a b))((^x.x) c)) 3. ==[ beta ]==> (((a a)(a b)) c) REDUCED to normal form. ------ 21263/1102719. ------ 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))) REDUCED to normal form. ------ 21264/1102746. ------ 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 (^y.y))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 21265/1102773. ------ 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. ------ 21266/1102800. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a a) b)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a a) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a) b)) 5. ==[ beta ]==> (((^y.y) a)((a a) b)) 6. ==[ alpha ]==> (((^x.x) a)((a a) b)) 7. ==[ beta ]==> (a ((a a) b)) REDUCED to normal form. ------ 21267/1102827. ------ 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. ------ 21268/1102845. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(a a))) 2. ==[ alpha ]==> (((^x.b) b)((a a)(a a))) 3. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 21269/1102854. ------ 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. ------ 21270/1102881. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)(^a.a))) 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. ------ 21271/1102890. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21272/1102917. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 21273/1105593. ------ 1. ==[ start ]==> ((^a.b)(b (a b))) 2. ==[ alpha ]==> ((^x.b)(b (a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 21274/1105614. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 21275/1105629. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(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. ------ 21276/1105674. ------ 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. ------ 21277/1105830. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 21278/1106019. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.y)) a) 4. ==[ beta ]==> ((a (^y.y)) a) 5. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 21279/1106034. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 21280/1106208. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.y))) 3. ==[ beta ]==> ((a b)(^y.(^z.y))) 4. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 21281/1106721. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 21282/1107009. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 21283/1107153. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 21284/1107612. ------ 1. ==[ start ]==> (((a b) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 21285/1107693. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 21286/1107774. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 21287/1107816. ------ 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)((^x1.(^y1.y1)) b))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1)) b))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1)) b)) 8. ==[ alpha ]==> (^x.((^y.(^z.z)) b)) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 21288/1107837. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(a (^y.y)))) REDUCED to normal form. ------ 21289/1107972. ------ 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. ------ 21290/1107999. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(a a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(a a))) REDUCED to normal form. ------ 21291/1108023. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(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. ------ 21292/1108035. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21293/1108062. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.a)) 3. ==[ beta ]==> ((^y.y)(^x1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 21294/1108137. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.a))) 3. ==[ beta ]==> (a ((^y.a)(^z.a))) 4. ==[ alpha ]==> (a ((^x.a)(^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21295/1108164. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 21296/1108173. ------ 1. ==[ start ]==> ((a b)(b (a b))) REDUCED to normal form. ------ 21297/1108191. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 21298/1108209. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(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. ------ 21299/1108227. ------ 1. ==[ start ]==> (((a a)(a a))((a b)(a a))) REDUCED to normal form. ------ 21300/1108254. ------ 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. ------ 21301/1108389. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(a b))) REDUCED to normal form. ------ 21302/1108407. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 21303/1108452. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 21304/1108479. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 21305/1108488. ------ 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 (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 21306/1108515. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((a a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 21307/1108533. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 21308/1108542. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 21309/1108569. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 21310/1108596. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a b))) 5. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 21311/1108614. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b) a)) REDUCED to normal form. ------ 21312/1108704. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 21313/1108785. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 21314/1108803. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.b) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) a)) 5. ==[ beta ]==> ((^y.y)((^z.b) a)) 6. ==[ alpha ]==> ((^x.x)((^y.b) a)) 7. ==[ beta ]==> ((^y.b) a) 8. ==[ alpha ]==> ((^x.b) a) 9. ==[ beta ]==> b REDUCED to normal form. ------ 21315/1108857. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21316/1108956. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a a)((a a) a))) REDUCED to normal form. ------ 21317/1109028. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 21318/1109073. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21319/1109100. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 21320/1109154. ------ 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))(^y.(^z.z)))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((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. ------ 21321/1109163. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 21322/1109190. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a))(^a.(^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. ------ 21323/1109217. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 21324/1109244. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 21325/1109271. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^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. ------ 21326/1109361. ------ 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. ------ 21327/1109388. ------ 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)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 21328/1109415. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(a (a a)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(a (a a)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 21329/1109442. ------ 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. ------ 21330/1109532. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.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. ------ 21331/1109586. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 21332/1109622. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 21333/1109649. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 21334/1109703. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^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. ------ 21335/1109730. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)(^b.(^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. ------ 21336/1109748. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z)) a)) 7. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 8. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 21337/1109847. ------ 1. ==[ start ]==> (((a a)((a a) a))((a a)(a (a a)))) REDUCED to normal form. ------ 21338/1110000. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y))(^z.z))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.y))) 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. ------ 21339/1110018. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a) b)) 3. ==[ beta ]==> ((^y.b)(((^z.z) a) b)) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 21340/1110099. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z)) a)) IRREDUCIBLE: cycle. ------ 21341/1110162. ------ 1. ==[ start ]==> ((((a a) a) b)(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)(b (^x.a))) REDUCED to normal form. ------ 21342/1110189. ------ 1. ==[ start ]==> (((a b) a)(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)(a (^x.(x x)))) REDUCED to normal form. ------ 21343/1110207. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) 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. ------ 21344/1110216. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 21345/1110234. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^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. ------ 21346/1110270. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 21347/1110288. ------ 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))(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. ------ 21348/1110297. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 21349/1110324. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 21350/1110351. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 21351/1110369. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 21352/1110378. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (^y.y))) REDUCED to normal form. ------ 21353/1110396. ------ 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)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 21354/1110414. ------ 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. ------ 21355/1110468. ------ 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 (^y.y))(b b)) 6. ==[ alpha ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 21356/1110522. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b (a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b (a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (a a))) 5. ==[ beta ]==> (((^y.y) a)(b (a a))) 6. ==[ alpha ]==> (((^x.x) a)(b (a a))) 7. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 21357/1110549. ------ 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. ------ 21358/1110567. ------ 1. ==[ start ]==> (((^a.b) b)(b (^a.a))) 2. ==[ alpha ]==> (((^x.b) b)(b (^y.y))) 3. ==[ beta ]==> (b (b (^y.y))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 21359/1110576. ------ 1. ==[ start ]==> (((a b)(a a))((a a)(a a))) REDUCED to normal form. ------ 21360/1110603. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b a)) 3. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 21361/1110612. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(^a.a))) 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. ------ 21362/1110639. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((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. ------ 21363/1110692. ------ 1. ==[ start ]==> (^a.((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.((^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. ------ 21364/1110693. ------ 1. ==[ start ]==> (a ((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 21365/1110786. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 21366/1113180. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 21367/1113273. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a))) a) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z))) a) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z))) a) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) a) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 21368/1113279. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 5. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21369/1113306. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.a))) 3. ==[ beta ]==> (((^y.a)(^z.a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.a))) 5. ==[ beta ]==> (a ((^z.a)(^x1.a))) 6. ==[ alpha ]==> (a ((^x.a)(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21370/1113333. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 21371/1113369. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 21372/1113372. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 21373/1113531. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (^y.((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (^x.((a (^y.y))((a a) a))) REDUCED to normal form. ------ 21374/1113579. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 21375/1113603. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)(a a))) 3. ==[ eta ]==> ((^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. ------ 21376/1113873. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.(z z))(^x1.(x1 x1)))((^y1.(y1 y1))(^z1.(z1 z1))))) 5. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.(z z))(^x1.(x1 x1)))((^y1.(y1 y1))(^z1.(z1 z1))))) 6. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.(z z))(^x1.(x1 x1)))((^y1.(y1 y1))(^z1.(z1 z1))))) IRREDUCIBLE: cycle. ------ 21377/1113966. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(z b))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(z 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)) REDUCED to normal form. ------ 21378/1114098. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 21379/1114146. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.b))) REDUCED to normal form. ------ 21380/1114224. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21381/1114656. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((^x.(^y.y))(a a))((^z.(^x1.x1))(a a)))((^y1.(^z1.z1))(a a))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(a a)))((^y1.(^z1.z1))(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a a)))((^x1.(^y1.y1))(a a))) 7. ==[ beta ]==> (((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a))) 8. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 11. ==[ beta ]==> ((^y.(^z.z))(a a)) 12. ==[ alpha ]==> ((^x.(^y.y))(a a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21382/1114911. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) 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)(^x.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 21383/1114989. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 21384/1115037. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 21385/1115145. ------ 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. ------ 21386/1115169. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((^y.(y y))(^z.z)) b) 4. ==[ alpha ]==> (((^x.(x x))(^y.y)) b) 5. ==[ beta ]==> (((^y.y)(^y.y)) 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. ------ 21387/1115262. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(z (z z)))) IRREDUCIBLE: cycle. ------ 21388/1115343. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (b (^z.((^x1.x1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 21389/1115433. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 21390/1115532. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.((^a.a) a))) 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. ------ 21391/1115556. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(a a))) 3. ==[ beta ]==> (^y.(((a (^z.z))(a a))((a (^z.z))(a a)))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(a a))((a (^z.z))(a a)))) REDUCED to normal form. ------ 21392/1115604. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.y))) REDUCED to normal form. ------ 21393/1115658. ------ 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. ------ 21394/1115712. ------ 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. ------ 21395/1115763. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 21396/1115766. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 21397/1115802. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.b)) 3. ==[ beta ]==> ((^y.y)(^x1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 21398/1115856. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.x1)) 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. ------ 21399/1115868. ------ 1. ==[ start ]==> ((a a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 21400/1115895. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 21401/1115922. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 21402/1115931. ------ 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. ------ 21403/1115958. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 21404/1115967. ------ 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)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 21405/1115994. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 21406/1116012. ------ 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. ------ 21407/1116021. ------ 1. ==[ start ]==> (((a a) b)((^c.a) c)) 2. ==[ alpha ]==> (((a a) b)((^x.a) c)) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 21408/1116039. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 21409/1116066. ------ 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. ------ 21410/1116093. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 21411/1116120. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 21412/1116138. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.b))) REDUCED to normal form. ------ 21413/1116165. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(a a)))) REDUCED to normal form. ------ 21414/1116192. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(a a))) 3. ==[ beta ]==> ((a a)((^y.b)(a a))) 4. ==[ alpha ]==> ((a a)((^x.b)(a a))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 21415/1116237. ------ 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 (^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. ------ 21416/1116264. ------ 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. ------ 21417/1116291. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 21418/1116345. ------ 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))) REDUCED to normal form. ------ 21419/1116381. ------ 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))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 21420/1116435. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 21421/1116462. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 21422/1116498. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> (c ((^y.y)(^z.z))) 6. ==[ alpha ]==> (c ((^x.x)(^y.y))) 7. ==[ beta ]==> (c (^y.y)) 8. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 21423/1116552. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (a b))) 3. ==[ beta ]==> (((^y.y)(^y.y))(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. ------ 21424/1116561. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b) a)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b) a)) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 21425/1116579. ------ 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. ------ 21426/1116606. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))(a (^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. ------ 21427/1116615. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 21428/1116660. ------ 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. ------ 21429/1116687. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 21430/1116705. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.a))) REDUCED to normal form. ------ 21431/1116732. ------ 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. ------ 21432/1116777. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))(^a.(^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. ------ 21433/1116786. ------ 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. ------ 21434/1116813. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))(a ((^z.z) a))) 8. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 9. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 21435/1116912. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a) a) a)) REDUCED to normal form. ------ 21436/1116939. ------ 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 ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 21437/1116966. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a)) c)) REDUCED to normal form. ------ 21438/1117038. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b ((^z.z)(^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. ------ 21439/1117191. ------ 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. ------ 21440/1117245. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 21441/1117371. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x) b)(((^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. ------ 21442/1117398. ------ 1. ==[ start ]==> ((((a a) a) a)((a (a a)) b)) REDUCED to normal form. ------ 21443/1117497. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a ((^z.z)(^x1.x1)))) 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. ------ 21444/1117506. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 21445/1117533. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1)) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21446/1117560. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a) c)) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 21447/1117578. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.b))((a (^y.y)) a)) REDUCED to normal form. ------ 21448/1117596. ------ 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. ------ 21449/1117623. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 21450/1117650. ------ 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. ------ 21451/1117677. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 21452/1117704. ------ 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.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 21453/1117731. ------ 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. ------ 21454/1117749. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b) a)((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 21455/1117758. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((a (a b))((^y.y)(^y.y))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 21456/1117848. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (a (a a)))) IRREDUCIBLE: cycle. ------ 21457/1117911. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y)) c)) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 21458/1117929. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)((^z.z) a))) 3. ==[ beta ]==> (b ((a a)((^z.z) a))) 4. ==[ alpha ]==> (b ((a a)((^x.x) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 21459/1117965. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.b))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 21460/1118019. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 21461/1118046. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) a) a)) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 21462/1118073. ------ 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. ------ 21463/1118118. ------ 1. ==[ start ]==> (((^a.b)(a a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))(a ((^y.y) a))) 3. ==[ beta ]==> (b (a ((^y.y) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 21464/1118127. ------ 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. ------ 21465/1118145. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(a a))) REDUCED to normal form. ------ 21466/1118163. ------ 1. ==[ start ]==> (((a a)(a b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 21467/1118190. ------ 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. ------ 21468/1118217. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 21469/1118244. ------ 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. ------ 21470/1118271. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^x1.x1))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 21471/1118298. ------ 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. ------ 21472/1118316. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z)) a)) 3. ==[ beta ]==> (b ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 21473/1118325. ------ 1. ==[ start ]==> (((a b)(a a))(b (^a.a))) 2. ==[ alpha ]==> (((a b)(a a))(b (^x.x))) REDUCED to normal form. ------ 21474/1118352. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 21475/1118361. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b a)) 3. ==[ beta ]==> ((^y.(a a))(b a)) 4. ==[ alpha ]==> ((^x.(a a))(b a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21476/1118388. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 21477/1118442. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a a)) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21478/1118544. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(^b.(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. ------ 21479/1118949. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(a z))) 3. ==[ eta ]==> ((^x.(^y.(y y))) a) 4. ==[ beta ]==> (^y.(y y)) 5. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 21480/1120938. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.z)) 3. ==[ beta ]==> ((^y.y)((^z.z)(^z.z))) 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. ------ 21481/1121031. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a))) b) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z))) b) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 21482/1121055. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 21483/1121136. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 21484/1121139. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 21485/1121148. ------ 1. ==[ start ]==> (((^a.a) b)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (b (^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 21486/1121181. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b) b)) 3. ==[ beta ]==> (((^z.b) b)(^y.y)) 4. ==[ alpha ]==> (((^x.b) b)(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 21487/1121298. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (^z.a))) 3. ==[ beta ]==> (^y.(c (^z.a))) 4. ==[ alpha ]==> (^x.(c (^y.a))) REDUCED to normal form. ------ 21488/1121337. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(a b))) 3. ==[ beta ]==> ((^y.y)(^z.(a b))) 4. ==[ alpha ]==> ((^x.x)(^y.(a b))) 5. ==[ beta ]==> (^y.(a b)) 6. ==[ alpha ]==> (^x.(a b)) REDUCED to normal form. ------ 21489/1121370. ------ 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. ------ 21490/1121541. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 21491/1121544. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(a y))) 3. ==[ eta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 21492/1121733. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 21493/1121742. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(a b))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(x b))) REDUCED to normal form. ------ 21494/1121865. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 21495/1121991. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (a a))(^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. ------ 21496/1122084. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((a a) a))) 5. ==[ beta ]==> ((^y.y)(^y1.((a a) a))) 6. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 7. ==[ beta ]==> (^y.((a a) a)) 8. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 21497/1122255. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z) z))) 5. ==[ beta ]==> ((^y.y)(^z.((z z) z))) 6. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 7. ==[ beta ]==> (^y.((y y) y)) 8. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 21498/1122423. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1)))(((^x2.x2)(^y2.y2))(^z2.z2))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1)))(((^x2.x2)(^y2.y2))(^z2.z2))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.y2))) 7. ==[ beta ]==> (((^y.y)(((^z.z)(^x1.x1))(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.y2))) 8. ==[ alpha ]==> (((^x.x)(((^y.y)(^z.z))(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 9. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.x1))(((^y1.y1)(^z1.z1))(^x2.x2))) 10. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 11. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 12. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 13. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.y1))) 14. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 15. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 16. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 17. ==[ beta ]==> ((^y.y)(^z.z)) 18. ==[ alpha ]==> ((^x.x)(^y.y)) 19. ==[ beta ]==> (^y.y) 20. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21499/1122678. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 21500/1122687. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 21501/1122756. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 21502/1122936. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.(x b))((a (a a)) a)) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 21503/1123029. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 21504/1123119. ------ 1. ==[ start ]==> (((a b) a)(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)(^x.((^y.y) a))) 3. ==[ beta ]==> (((a b) a)(^x.a)) REDUCED to normal form. ------ 21505/1123137. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 21506/1123218. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^x.a)) REDUCED to normal form. ------ 21507/1123299. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 21508/1123308. ------ 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. ------ 21509/1123323. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (^z.z))) 3. ==[ beta ]==> (^y.((c (^z.z))(c (^z.z)))) 4. ==[ alpha ]==> (^x.((c (^y.y))(c (^z.z)))) REDUCED to normal form. ------ 21510/1123371. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.c)) REDUCED to normal form. ------ 21511/1123497. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(a (^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)))) REDUCED to normal form. ------ 21512/1123530. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)((^z.z) 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. ------ 21513/1123533. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.y)) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 21514/1123542. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21515/1123569. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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)) REDUCED to normal form. ------ 21516/1123623. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(^a.a))) 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. ------ 21517/1123653. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 21518/1123680. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 21519/1123707. ------ 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 21520/1123716. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (a b))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (a b))) REDUCED to normal form. ------ 21521/1123734. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 21522/1123743. ------ 1. ==[ start ]==> (((^a.a) b)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(a ((^y.y)(a a)))) 3. ==[ beta ]==> (b (a ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 21523/1123752. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) a)) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 21524/1123770. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 21525/1123779. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b) b)) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 21526/1123797. ------ 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. ------ 21527/1123824. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z) a)) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) a)) 7. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 21528/1123851. ------ 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. ------ 21529/1123878. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 21530/1123896. ------ 1. ==[ start ]==> ((a (^b.a))(c (^c.a))) 2. ==[ alpha ]==> ((a (^x.a))(c (^y.a))) REDUCED to normal form. ------ 21531/1123932. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)(a b))) 3. ==[ beta ]==> ((^y.y)((a a)(a b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 21532/1123968. ------ 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. ------ 21533/1123977. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(a a))) 3. ==[ beta ]==> ((^y.a)((^z.b)(a a))) 4. ==[ alpha ]==> ((^x.a)((^y.b)(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 21534/1124058. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (a ((^y.(y y))(a (a a)))) 6. ==[ alpha ]==> (a ((^x.(x x))(a (a a)))) 7. ==[ beta ]==> (a ((a (a a))(a (a a)))) REDUCED to normal form. ------ 21535/1124085. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)((^y1.y1)(^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. ------ 21536/1124139. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a b))) 3. ==[ beta ]==> ((a (^x.(x x)))(a b)) REDUCED to normal form. ------ 21537/1124157. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a b) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a b) a)) 3. ==[ beta ]==> (((a a) a)((a b) a)) REDUCED to normal form. ------ 21538/1124184. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 21539/1124247. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (((^y.(y y))(^z.(z z)))((^y.(y y))(^z.(z z)))) 6. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 21540/1124274. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 21541/1124310. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b ((a a) a))) 3. ==[ beta ]==> ((a b)(b ((a a) a))) REDUCED to normal form. ------ 21542/1124328. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(^x1.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. ------ 21543/1124337. ------ 1. ==[ start ]==> (((a (a a)) a)(a (a b))) REDUCED to normal form. ------ 21544/1124364. ------ 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. ------ 21545/1124391. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.z))) REDUCED to normal form. ------ 21546/1124418. ------ 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. ------ 21547/1124445. ------ 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. ------ 21548/1124463. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 21549/1124535. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 21550/1124562. ------ 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. ------ 21551/1124589. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 21552/1124598. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21553/1124625. ------ 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))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 21554/1124679. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((a a) a))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 21555/1124733. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^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. ------ 21556/1124760. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 21557/1124796. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (a (a a)))) 3. ==[ beta ]==> ((a (^y.a))(c (a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))(c (a (a a)))) REDUCED to normal form. ------ 21558/1124814. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))(^b.(^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. ------ 21559/1124823. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 21560/1124850. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 21561/1124886. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 21562/1125021. ------ 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))((^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. ------ 21563/1125057. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (^z1.z1)))) 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. ------ 21564/1125111. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^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. ------ 21565/1125192. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 21566/1125219. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 21567/1125228. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(c a)) REDUCED to normal form. ------ 21568/1125255. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (a (a a)))) REDUCED to normal form. ------ 21569/1125273. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^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. ------ 21570/1125282. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.y))) REDUCED to normal form. ------ 21571/1125309. ------ 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. ------ 21572/1125336. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 21573/1125354. ------ 1. ==[ start ]==> ((a (^a.b))(c (^b.a))) 2. ==[ alpha ]==> ((a (^x.b))(c (^y.a))) REDUCED to normal form. ------ 21574/1125426. ------ 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. ------ 21575/1125453. ------ 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. ------ 21576/1125480. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 21577/1125507. ------ 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. ------ 21578/1125534. ------ 1. ==[ start ]==> ((a (a b))((a (a a)) a)) REDUCED to normal form. ------ 21579/1125543. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 21580/1125624. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 21581/1125687. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 21582/1125705. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 21583/1125714. ------ 1. ==[ start ]==> (((a b) a)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)((a a)((^x.x) a))) 3. ==[ beta ]==> (((a b) a)((a a) a)) REDUCED to normal form. ------ 21584/1125732. ------ 1. ==[ start ]==> (((^a.a)(a b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(a (^y.(y y)))) 3. ==[ beta ]==> ((a b)(a (^y.(y y)))) 4. ==[ alpha ]==> ((a b)(a (^x.(x x)))) REDUCED to normal form. ------ 21585/1125759. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 21586/1125795. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b c)) REDUCED to normal form. ------ 21587/1125813. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (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. ------ 21588/1125849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (a a))) 5. ==[ beta ]==> ((^y.a)(c (a a))) 6. ==[ alpha ]==> ((^x.a)(c (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 21589/1125876. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 21590/1125894. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 21591/1125903. ------ 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. ------ 21592/1125921. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.y))) REDUCED to normal form. ------ 21593/1125939. ------ 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))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 21594/1125993. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(^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))) REDUCED to normal form. ------ 21595/1126020. ------ 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. ------ 21596/1126047. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z)) a)) 5. ==[ beta ]==> (((^y.y) a)((a (^z.z)) a)) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.y)) a)) 7. ==[ beta ]==> (a ((a (^y.y)) a)) 8. ==[ alpha ]==> (a ((a (^x.x)) a)) REDUCED to normal form. ------ 21597/1126074. ------ 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. ------ 21598/1126092. ------ 1. ==[ start ]==> (((^a.b) b)(a (a (^a.a)))) 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. ------ 21599/1126101. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 21600/1126128. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y) b)) 3. ==[ beta ]==> ((a (a a))((^y.y) b)) 4. ==[ alpha ]==> ((a (a a))((^x.x) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 21601/1126137. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(a (^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21602/1126164. ------ 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)((^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. ------ 21603/1126218. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (^a.a))) 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. ------ 21604/1128816. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a))) c) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z))) c) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z))) c) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) c) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 21605/1128894. ------ 1. ==[ start ]==> ((^a.b)(c ((a a) a))) 2. ==[ alpha ]==> ((^x.b)(c ((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 21606/1128942. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 21607/1128951. ------ 1. ==[ start ]==> (((a a)(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 21608/1128975. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b)(a a))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 21609/1129335. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)(^z.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 21610/1129536. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.x))) REDUCED to normal form. ------ 21611/1129887. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.((a a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((a a) a))) REDUCED to normal form. ------ 21612/1130049. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 7. ==[ beta ]==> (^y.(^z.a)) 8. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 21613/1130346. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (b (^x.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 21614/1130481. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 21615/1130550. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 21616/1130724. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(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)))) REDUCED to normal form. ------ 21617/1130940. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 21618/1131021. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 21619/1131093. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.c)) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 21620/1131102. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 21621/1131117. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a) a)) 3. ==[ beta ]==> (^y.(((^z.a) a)((^z.a) a))) 4. ==[ alpha ]==> (^x.(((^y.a) a)((^z.a) a))) 5. ==[ beta ]==> (^x.(a ((^z.a) a))) 6. ==[ alpha ]==> (^x.(a ((^y.a) a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 21622/1131291. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 21623/1131300. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 21624/1131324. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((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. ------ 21625/1131336. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.z)) 3. ==[ beta ]==> ((^y.(a a))(^z.z)) 4. ==[ alpha ]==> ((^x.(a a))(^y.y)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21626/1131363. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(^a.a))) 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. ------ 21627/1131417. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.a)) 5. ==[ beta ]==> ((^y.y)(^y1.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 21628/1131465. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 21629/1131492. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 21630/1131501. ------ 1. ==[ start ]==> ((a b)(c ((a a) a))) REDUCED to normal form. ------ 21631/1131519. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 21632/1131546. ------ 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 (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 21633/1131555. ------ 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. ------ 21634/1131582. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)(a a))) REDUCED to normal form. ------ 21635/1131591. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 21636/1131717. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 21637/1131735. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b (^z.b))) 3. ==[ beta ]==> ((^y.y)(b (^z.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 21638/1131744. ------ 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. ------ 21639/1131780. ------ 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. ------ 21640/1131807. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 21641/1131816. ------ 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 (^x.x)) b) a) REDUCED to normal form. ------ 21642/1131843. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 21643/1131861. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> (a ((a (a a))(^y.(y y)))) 6. ==[ alpha ]==> (a ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 21644/1131870. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 21645/1131888. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) a)(^y1.(^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. ------ 21646/1131897. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 21647/1131924. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 21648/1131942. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.b))) REDUCED to normal form. ------ 21649/1132032. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 21650/1132113. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^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. ------ 21651/1132140. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.b))) 3. ==[ beta ]==> (((a (a a)) a)(^y.b)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.b)) REDUCED to normal form. ------ 21652/1132158. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b) a)) 3. ==[ beta ]==> ((a (a a))((^y.b) a)) 4. ==[ alpha ]==> ((a (a a))((^x.b) a)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 21653/1132284. ------ 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. ------ 21654/1132311. ------ 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. ------ 21655/1132356. ------ 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) REDUCED to normal form. ------ 21656/1132401. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21657/1132428. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) a)(^y1.(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. ------ 21658/1132491. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)((a a) a))) 3. ==[ beta ]==> (((a (a a)) b)((a a) a)) REDUCED to normal form. ------ 21659/1132536. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> (((^y.y)(^z.z)) b) 8. ==[ alpha ]==> (((^x.x)(^y.y)) b) 9. ==[ beta ]==> ((^y.y) b) 10. ==[ alpha ]==> ((^x.x) b) 11. ==[ beta ]==> b REDUCED to normal form. ------ 21660/1132545. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 21661/1132572. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 21662/1132599. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 21663/1132626. ------ 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.(^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. ------ 21664/1132689. ------ 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)(^y.y))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 21665/1132716. ------ 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. ------ 21666/1132743. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) 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)(a ((^y.y) a))) 8. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 21667/1132770. ------ 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. ------ 21668/1132797. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)((a a)(^y.y))) 8. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 21669/1132860. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(^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. ------ 21670/1132914. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a ((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 21671/1132950. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^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. ------ 21672/1132977. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))(^a.a))) 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. ------ 21673/1132995. ------ 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. ------ 21674/1133031. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 21675/1133058. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 21676/1133085. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(^b.(^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. ------ 21677/1133157. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a) c)) 2. ==[ alpha ]==> ((a (^x.b))((^y.a) c)) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 21678/1133175. ------ 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. ------ 21679/1133202. ------ 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. ------ 21680/1133328. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 21681/1133346. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a)) a)) 3. ==[ beta ]==> ((^y.b)((a (a a)) a)) 4. ==[ alpha ]==> ((^x.b)((a (a a)) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 21682/1133490. ------ 1. ==[ start ]==> ((((a a) a) b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 21683/1133508. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 21684/1133517. ------ 1. ==[ start ]==> (((a b) a)(b (^b.a))) 2. ==[ alpha ]==> (((a b) a)(b (^x.a))) REDUCED to normal form. ------ 21685/1133544. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(y y)))) REDUCED to normal form. ------ 21686/1133562. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 21687/1133598. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 21688/1133616. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(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. ------ 21689/1133625. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z) a)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 21690/1133652. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((^y.a)((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 21691/1133679. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 21692/1133697. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a) c)) 2. ==[ alpha ]==> (((^x.b)(a a))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 21693/1133706. ------ 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. ------ 21694/1133724. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a) a)) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 21695/1133742. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(a a))) REDUCED to normal form. ------ 21696/1133769. ------ 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. ------ 21697/1133823. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b b)) REDUCED to normal form. ------ 21698/1133877. ------ 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. ------ 21699/1133895. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 21700/1133904. ------ 1. ==[ start ]==> (((a b)(a a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(a (a (^x.x)))) REDUCED to normal form. ------ 21701/1133931. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(a a))) 3. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 21702/1133940. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z) b)) 3. ==[ beta ]==> ((^y.(a a))((^z.z) b)) 4. ==[ alpha ]==> ((^x.(a a))((^y.y) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21703/1133967. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(^a.a))) 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. ------ 21704/1134021. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a) 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. ------ 21705/1134047. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 21706/1134048. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 21707/1134375. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.(z z)))) 3. ==[ eta ]==> ((^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. ------ 21708/1135941. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(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 a)) REDUCED to normal form. ------ 21709/1136328. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.((^a.a) a))) 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. ------ 21710/1136661. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^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. ------ 21711/1136688. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 7. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 11. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21712/1136715. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 21713/1136751. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 21714/1136772. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 21715/1136913. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^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 ]==> (^x.(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (^x.(a (^z.z))) 8. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 21716/1136985. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (^z.(a a)))) 3. ==[ eta ]==> ((^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. ------ 21717/1136988. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 21718/1137177. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(a y))) 3. ==[ eta ]==> (((a a)((^x.x) a)) a) 4. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 21719/1137255. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.a))(((^y.(^z.z))(^x1.a))((^y.(^z.z))(^x1.a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.(^y1.y1))(^z1.a))((^x2.(^y2.y2))(^z2.a)))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(^z1.a))((^x2.(^y2.y2))(^z2.a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.a))((^y1.(^z1.z1))(^x2.a)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y1.(^z1.z1))(^x2.a))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21720/1137375. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(y b))) 3. ==[ beta ]==> ((a (a a))(^y.(y b))) 4. ==[ alpha ]==> ((a (a a))(^x.(x b))) REDUCED to normal form. ------ 21721/1137480. ------ 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. ------ 21722/1137555. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 21723/1137606. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 21724/1137708. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.a))) REDUCED to normal form. ------ 21725/1138167. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 21726/1138371. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 21727/1138446. ------ 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. ------ 21728/1138545. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 21729/1138551. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(a (a a)))) 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. ------ 21730/1138554. ------ 1. ==[ start ]==> ((a (a b))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(a (a a)))) REDUCED to normal form. ------ 21731/1138752. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a b)(^y.((^z.z) a))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y) a))) 5. ==[ beta ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 21732/1138923. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.c)) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 21733/1138938. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a ((^z.z) a))) 3. ==[ beta ]==> (^y.((a ((^z.z) a))(a ((^z.z) a)))) 4. ==[ alpha ]==> (^x.((a ((^y.y) a))(a ((^z.z) a)))) 5. ==[ beta ]==> (^x.((a a)(a ((^z.z) a)))) 6. ==[ alpha ]==> (^x.((a a)(a ((^y.y) a)))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 21734/1138941. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.((^a.a) a))) 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. ------ 21735/1139013. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 21736/1139067. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(a (^z.z)))) 7. ==[ beta ]==> (a (^y.(a (^z.z)))) 8. ==[ alpha ]==> (a (^x.(a (^y.y)))) REDUCED to normal form. ------ 21737/1139112. ------ 1. ==[ start ]==> (((^a.b) b)(^c.b)) 2. ==[ alpha ]==> (((^x.b) b)(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 21738/1139121. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 21739/1139145. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (^z.z))) 3. ==[ beta ]==> ((^y.y)((b (^z.z))(b (^z.z)))) 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))) REDUCED to normal form. ------ 21740/1139157. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a a))) 3. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21741/1139238. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 y1))) 5. ==[ beta ]==> ((^y.y)(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 21742/1139277. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 21743/1139304. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 21744/1139331. ------ 1. ==[ start ]==> ((a b)((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 21745/1139367. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a b))) REDUCED to normal form. ------ 21746/1139385. ------ 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))(^y.(a a))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 21747/1139403. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 21748/1139421. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 21749/1139430. ------ 1. ==[ start ]==> (((a a) b)((^a.b) b)) 2. ==[ alpha ]==> (((a a) b)((^x.b) b)) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 21750/1139448. ------ 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. ------ 21751/1139475. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 9. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 21752/1139502. ------ 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. ------ 21753/1139529. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.a))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.a))(a (^y.y))) REDUCED to normal form. ------ 21754/1139574. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.b))) REDUCED to normal form. ------ 21755/1139601. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.(a a)))) 3. ==[ beta ]==> ((a a)(a (^y.(a a)))) 4. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 21756/1139646. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 21757/1139673. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 21758/1139700. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 21759/1139727. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 21760/1139790. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(a b))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(a b))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 21761/1139817. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 21762/1139871. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 21763/1139961. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((a a) a))) 5. ==[ beta ]==> ((^y.y)(b ((a a) a))) 6. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 21764/1139988. ------ 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. ------ 21765/1139997. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b) a)) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 21766/1140015. ------ 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. ------ 21767/1140024. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 21768/1140051. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 21769/1140069. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))((^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. ------ 21770/1140096. ------ 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. ------ 21771/1140141. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(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. ------ 21772/1140168. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a (^z.b))) 3. ==[ beta ]==> ((a (a (^y.y)))(a (^z.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.b))) REDUCED to normal form. ------ 21773/1140186. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 21774/1140222. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 21775/1140321. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)((a a)(^x.a))) REDUCED to normal form. ------ 21776/1140348. ------ 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. ------ 21777/1140375. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 21778/1140627. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 21779/1140744. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c d)) 3. ==[ beta ]==> (((^y.a)(^y.a))(c d)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c d)) 5. ==[ beta ]==> (a (c d)) REDUCED to normal form. ------ 21780/1140780. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 21781/1140807. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> ((((a a) a) a)((^y.y) a)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x) a)) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 21782/1140861. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a c)) REDUCED to normal form. ------ 21783/1140906. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b (a (a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) 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)))) 7. ==[ beta ]==> ((a a)(b (a (a a)))) REDUCED to normal form. ------ 21784/1140942. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21785/1140969. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.x))(b b)) REDUCED to normal form. ------ 21786/1140987. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.b))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))(a (a (^y.y)))) REDUCED to normal form. ------ 21787/1141032. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(z z)))) REDUCED to normal form. ------ 21788/1141059. ------ 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. ------ 21789/1141086. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 21790/1141113. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 21791/1141140. ------ 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. ------ 21792/1141158. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((a a)(^y.(y y)))) 3. ==[ beta ]==> (b ((a a)(^y.(y y)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 21793/1141167. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(a (a a)))) 3. ==[ beta ]==> ((a (a b))(a (a a))) REDUCED to normal form. ------ 21794/1141257. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b ((^z.z) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b ((^z.z) a))) IRREDUCIBLE: cycle. ------ 21795/1141320. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a) b)) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 21796/1141338. ------ 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 ((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 21797/1141347. ------ 1. ==[ start ]==> (((a b) a)((^a.(^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. ------ 21798/1141365. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)((^y.y) a))) 3. ==[ beta ]==> ((a b)((a a)((^y.y) a))) 4. ==[ alpha ]==> ((a b)((a a)((^x.x) a))) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 21799/1141428. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 21800/1141446. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b c)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b c)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b c)) REDUCED to normal form. ------ 21801/1141455. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(^y.a))) REDUCED to normal form. ------ 21802/1141482. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) 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. ------ 21803/1141509. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 21804/1141527. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(b (a (^y.y)))) 3. ==[ beta ]==> (b (b (a (^y.y)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 21805/1141536. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a) c)) 2. ==[ alpha ]==> (((a b)(^x.x))((a a) c)) REDUCED to normal form. ------ 21806/1141554. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 21807/1141572. ------ 1. ==[ start ]==> (((a a)(a b))(c (^a.a))) 2. ==[ alpha ]==> (((a a)(a b))(c (^x.x))) REDUCED to normal form. ------ 21808/1141599. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 21809/1141626. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (^z.a))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.a))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 21810/1141653. ------ 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. ------ 21811/1141680. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a (^x1.x1)))) 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. ------ 21812/1141707. ------ 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. ------ 21813/1141725. ------ 1. ==[ start ]==> (((^a.b) b)((a a) b)) 2. ==[ alpha ]==> (((^x.b) b)((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 21814/1141734. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 21815/1141761. ------ 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. ------ 21816/1141770. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(a a))) 3. ==[ beta ]==> ((^y.(a a))((a a)(a a))) 4. ==[ alpha ]==> ((^x.(a a))((a a)(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21817/1141797. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 21818/1141851. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 21819/1143780. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((^y.(^z.(z z))) b) 4. ==[ alpha ]==> ((^x.(^y.(y y))) b) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 21820/1144167. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.((^z.(^x1.a))(^z.(^x1.a)))) 4. ==[ alpha ]==> (^x.((^y.(^z.a))(^x1.(^y1.a)))) 5. ==[ beta ]==> (^x.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 21821/1144518. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 21822/1144599. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 21823/1144638. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 21824/1144644. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((^z.(a a)) a)(^y.y)) 4. ==[ alpha ]==> (((^x.(a a)) a)(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 21825/1144845. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.(y y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 21826/1145004. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 21827/1145223. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.y))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.y))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.x))) REDUCED to normal form. ------ 21828/1145232. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y b))) REDUCED to normal form. ------ 21829/1145454. ------ 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))(^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. ------ 21830/1146177. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((^z1.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. ------ 21831/1146399. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((a a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(^y.(y y))) b) 4. ==[ alpha ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 21832/1146402. ------ 1. ==[ start ]==> ((a (a b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 21833/1146411. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(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. ------ 21834/1146609. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.b))(^y.a)) REDUCED to normal form. ------ 21835/1146627. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 21836/1146786. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.a))((^z.z)(^x1.a)))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.a))((^x1.x1)(^y1.a)))) 5. ==[ beta ]==> (^x.((^z.a)((^x1.x1)(^y1.a)))) 6. ==[ alpha ]==> (^x.((^y.a)((^z.z)(^x1.a)))) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 21837/1146789. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 21838/1146861. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.c)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.c)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.c)) 5. ==[ beta ]==> ((a (^y.y))(^z.c)) 6. ==[ alpha ]==> ((a (^x.x))(^y.c)) REDUCED to normal form. ------ 21839/1146969. ------ 1. ==[ start ]==> (((a b)(a a))(^c.b)) 2. ==[ alpha ]==> (((a b)(a a))(^x.b)) REDUCED to normal form. ------ 21840/1146993. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) a)((^z.(^x1.x1)) 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)((^z.(^x1.x1)) a)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 9. ==[ beta ]==> ((^y.(^z.z)) a) 10. ==[ alpha ]==> ((^x.(^y.y)) a) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21841/1147032. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 21842/1147086. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(^a.a))) 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. ------ 21843/1147143. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 21844/1147170. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 21845/1147197. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 21846/1147224. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 21847/1147233. ------ 1. ==[ start ]==> (((^a.a) b)(b (a b))) 2. ==[ alpha ]==> (((^x.x) b)(b (a b))) 3. ==[ beta ]==> (b (b (a b))) REDUCED to normal form. ------ 21848/1147260. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 21849/1147269. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 21850/1147287. ------ 1. ==[ start ]==> (((a a) b)((a b)(a a))) REDUCED to normal form. ------ 21851/1147314. ------ 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. ------ 21852/1147341. ------ 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) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^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. ------ 21853/1147368. ------ 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. ------ 21854/1147422. ------ 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)((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. ------ 21855/1147467. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a (^z.(a a)))) 3. ==[ beta ]==> ((^y.a)(a (^z.(a a)))) 4. ==[ alpha ]==> ((^x.a)(a (^y.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 21856/1147494. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 21857/1147548. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^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 (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 21858/1147575. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 21859/1147629. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 21860/1147647. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(^y.b))) 3. ==[ beta ]==> (((a a) a)((a a)(^y.b))) 4. ==[ alpha ]==> (((a a) a)((a a)(^x.b))) REDUCED to normal form. ------ 21861/1147674. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b) a)) REDUCED to normal form. ------ 21862/1147701. ------ 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. ------ 21863/1147737. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21864/1147764. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 7. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 21865/1147800. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 21866/1147827. ------ 1. ==[ start ]==> (((a (a a)) a)(b ((a a) a))) REDUCED to normal form. ------ 21867/1147845. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.b))) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 21868/1147854. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (a b))) REDUCED to normal form. ------ 21869/1147881. ------ 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. ------ 21870/1147908. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 21871/1147935. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 21872/1148052. ------ 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. ------ 21873/1148079. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 21874/1148088. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21875/1148115. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(x1 x1))((^y1.y1) a))) 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. ------ 21876/1148169. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21877/1148250. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.(^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. ------ 21878/1148304. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 21879/1148340. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(b ((^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. ------ 21880/1148403. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z)) 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. ------ 21881/1148547. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21882/1148601. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (a ((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 21883/1148682. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 21884/1148709. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^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. ------ 21885/1148763. ------ 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 y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 21886/1148772. ------ 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. ------ 21887/1148799. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21888/1148826. ------ 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. ------ 21889/1148862. ------ 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. ------ 21890/1148943. ------ 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. ------ 21891/1148970. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 21892/1148997. ------ 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. ------ 21893/1149024. ------ 1. ==[ start ]==> ((a (a b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((a a)(^x.(x x)))) REDUCED to normal form. ------ 21894/1149033. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((^y.b)((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 21895/1149114. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.a))) IRREDUCIBLE: cycle. ------ 21896/1149177. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a)(a a))) 3. ==[ beta ]==> ((((a a) a) b)(a (a a))) REDUCED to normal form. ------ 21897/1149195. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 21898/1149204. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 21899/1149222. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(b (^y.a))) 3. ==[ beta ]==> ((a b)(b (^y.a))) 4. ==[ alpha ]==> ((a b)(b (^x.a))) REDUCED to normal form. ------ 21900/1149231. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.b))((a a) a)) REDUCED to normal form. ------ 21901/1149249. ------ 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)(a (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 21902/1149285. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c b)) REDUCED to normal form. ------ 21903/1149303. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 21904/1149312. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b c)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b c)) REDUCED to normal form. ------ 21905/1149384. ------ 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 ((^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. ------ 21906/1149393. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 21907/1149411. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.a)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.a)) REDUCED to normal form. ------ 21908/1149429. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(a b))((^x.a) a)) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 21909/1149456. ------ 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))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 21910/1149510. ------ 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. ------ 21911/1149537. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 21912/1149564. ------ 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. ------ 21913/1149582. ------ 1. ==[ start ]==> (((^a.b) b)(b (a a))) 2. ==[ alpha ]==> (((^x.b) b)(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 21914/1149591. ------ 1. ==[ start ]==> (((a b)(a a))((a a) b)) REDUCED to normal form. ------ 21915/1149618. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 21916/1149627. ------ 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 a) REDUCED to normal form. ------ 21917/1149654. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 21918/1149708. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(^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. ------ 21919/1149891. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((^z.((^x1.x1)(z z)))(^y.y)) 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. ------ 21920/1152033. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.z)) 3. ==[ beta ]==> (^y.((^z.z)(^z.z))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 21921/1152240. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.(a (^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 ]==> ((^z.(z (^x1.x1)))(^y.y)) 8. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.z)) 9. ==[ beta ]==> ((^z.z)(^y.y)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21922/1152513. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 21923/1152519. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((^z.z)(a a)))(^y.y)) 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. ------ 21924/1152522. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^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. ------ 21925/1152708. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(a b))) 3. ==[ eta ]==> ((^y.y)((a a)(a b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 21926/1153107. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 21927/1153296. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.b))) 3. ==[ beta ]==> ((b b)(^y.(^z.b))) 4. ==[ alpha ]==> ((b b)(^x.(^y.b))) REDUCED to normal form. ------ 21928/1153458. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.((a a) a))) 3. ==[ beta ]==> (((^y.y) a)(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((a a) a))) 5. ==[ beta ]==> (a (^y.((a a) a))) 6. ==[ alpha ]==> (a (^x.((a a) a))) REDUCED to normal form. ------ 21929/1153629. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((z z) z))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 21930/1153761. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)((^y.y)(^z.z)))((a a)((^y.y)(^z.z))))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a)((^x.x)(^y.y)))((a a)((^z.z)(^x1.x1))))((a a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^y.y))((a a)((^z.z)(^x1.x1))))((a a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)((^y.y)(^z.z))))((a a)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^x1.x1))) 10. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 21931/1153917. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 21932/1154052. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21933/1154094. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z)) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 21934/1154286. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(z z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 21935/1154592. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((^y.a)(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.a)(^y.((^z.z) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 21936/1154661. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a) c)) 3. ==[ beta ]==> (^y.(((a a) c)((a a) c))) 4. ==[ alpha ]==> (^x.(((a a) c)((a a) c))) REDUCED to normal form. ------ 21937/1154664. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.c)) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 21938/1154682. ------ 1. ==[ start ]==> (((a a)(a b))(^a.((^a.a) a))) 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. ------ 21939/1154868. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a (a (^a.a)))) 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. ------ 21940/1154871. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.(a (^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)))) REDUCED to normal form. ------ 21941/1154907. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 21942/1154961. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.a)) 5. ==[ beta ]==> ((^y.y)(^y1.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 21943/1155036. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^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)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 21944/1155063. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 21945/1155090. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 21946/1155117. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 21947/1155126. ------ 1. ==[ start ]==> (((a a)(a a))(b (a b))) REDUCED to normal form. ------ 21948/1155144. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 21949/1155153. ------ 1. ==[ start ]==> ((a (a (^a.a)))(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. ------ 21950/1155162. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(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. ------ 21951/1155189. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b) b)) 3. ==[ beta ]==> ((^y.y)((^x1.b) b)) 4. ==[ alpha ]==> ((^x.x)((^y.b) b)) 5. ==[ beta ]==> ((^y.b) b) 6. ==[ alpha ]==> ((^x.b) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 21952/1155288. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 21953/1155306. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c (^z.a))) 3. ==[ beta ]==> ((^y.y)(c (^z.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 21954/1155315. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 21955/1155342. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a)(a b))) 3. ==[ beta ]==> ((a a)((a a)(a b))) REDUCED to normal form. ------ 21956/1155378. ------ 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. ------ 21957/1155387. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(a a))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 21958/1155432. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.a))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> (a ((^y.y)(^z.a))) 8. ==[ alpha ]==> (a ((^x.x)(^y.a))) 9. ==[ beta ]==> (a (^y.a)) 10. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 21959/1155441. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 21960/1155459. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (a a))(^x1.(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. ------ 21961/1155468. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 21962/1155495. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 21963/1155684. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 21964/1155738. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 21965/1155756. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.b) a)) 3. ==[ beta ]==> ((^y.y)((^x1.b) a)) 4. ==[ alpha ]==> ((^x.x)((^y.b) a)) 5. ==[ beta ]==> ((^y.b) a) 6. ==[ alpha ]==> ((^x.b) a) 7. ==[ beta ]==> b REDUCED to normal form. ------ 21966/1155810. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 21967/1155855. ------ 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. ------ 21968/1155882. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(^z.z))) REDUCED to normal form. ------ 21969/1155909. ------ 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. ------ 21970/1155927. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a (^y.b))) 3. ==[ beta ]==> ((b b)(a (^y.b))) 4. ==[ alpha ]==> ((b b)(a (^x.b))) REDUCED to normal form. ------ 21971/1155972. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^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. ------ 21972/1155999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 21973/1156053. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 21974/1156062. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^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. ------ 21975/1156089. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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))) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 21976/1156107. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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. ------ 21977/1156116. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 21978/1156134. ------ 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. ------ 21979/1156143. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(^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. ------ 21980/1156170. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a (^x.a))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 21981/1156197. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 21982/1156224. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))(^b.(^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. ------ 21983/1156260. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a ((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))(a ((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 21984/1156287. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 21985/1156314. ------ 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. ------ 21986/1156341. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 21987/1156368. ------ 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. ------ 21988/1156395. ------ 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. ------ 21989/1156431. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.x2))) 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. ------ 21990/1156485. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (a (((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.a))) 7. ==[ beta ]==> (a (a (^y.a))) 8. ==[ alpha ]==> (a (a (^x.a))) REDUCED to normal form. ------ 21991/1156521. ------ 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. ------ 21992/1156548. ------ 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)((^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. ------ 21993/1156566. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 21994/1156593. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 21995/1156602. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 21996/1156629. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 21997/1156656. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^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. ------ 21998/1156683. ------ 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)(^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. ------ 21999/1156728. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y)) b)) 3. ==[ beta ]==> ((a (^x.b))(b b)) REDUCED to normal form. ------ 22000/1156746. ------ 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. ------ 22001/1156773. ------ 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 (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^z.z)) a)) REDUCED to normal form. ------ 22002/1156800. ------ 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. ------ 22003/1156899. ------ 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 ((^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. ------ 22004/1156917. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.b)((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.b)((a a)(^y.(y y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 22005/1157079. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a) b)) 3. ==[ beta ]==> (b ((^z.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 22006/1157088. ------ 1. ==[ start ]==> (((a b) a)(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(c (^x.(^y.y)))) REDUCED to normal form. ------ 22007/1157106. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 22008/1157115. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (^y.a))) REDUCED to normal form. ------ 22009/1157169. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 22010/1157187. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 22011/1157196. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(a (^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. ------ 22012/1157223. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.a)((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)((^z.z) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 22013/1157250. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 22014/1157268. ------ 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)) REDUCED to normal form. ------ 22015/1157277. ------ 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. ------ 22016/1157295. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a) c)) REDUCED to normal form. ------ 22017/1157313. ------ 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. ------ 22018/1157340. ------ 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))) REDUCED to normal form. ------ 22019/1157367. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 22020/1157421. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b b)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b b)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b b)) 5. ==[ beta ]==> (((^y.y) a)(b b)) 6. ==[ alpha ]==> (((^x.x) a)(b b)) 7. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 22021/1157466. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 22022/1157475. ------ 1. ==[ start ]==> (((a b)(a a))(b (a a))) REDUCED to normal form. ------ 22023/1157502. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a (a (^a.a)))) 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. ------ 22024/1157511. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z)) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22025/1157538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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. ------ 22026/1157592. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 22027/1157784. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^z.(^x1.(a a)))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.(a a)))(^z.z)) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 22028/1160133. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22029/1160313. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 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. ------ 22030/1160340. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 22031/1160421. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((^z.z)(^x1.(a a)))(^y.y)) 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. ------ 22032/1160424. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 22033/1160433. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 22034/1160538. ------ 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. ------ 22035/1160610. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (^z.b))) 3. ==[ eta ]==> ((^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. ------ 22036/1160622. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a b))) 3. ==[ beta ]==> ((^y.a)(^z.(a b))) 4. ==[ alpha ]==> ((^x.a)(^y.(a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 22037/1160829. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(a z))) 3. ==[ eta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 22038/1161027. ------ 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)(^x1.(x1 b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 22039/1161105. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22040/1161207. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.b))) REDUCED to normal form. ------ 22041/1161531. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 22042/1161663. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((b (^y.(^z.z)))(b (^y.(^z.z))))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((b (^x.(^y.y)))(b (^z.(^x1.x1))))(b (^y1.(^z1.z1)))) REDUCED to normal form. ------ 22043/1161996. ------ 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. ------ 22044/1162098. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 22045/1162176. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a)) b) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 22046/1162494. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 22047/1162563. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b (a (^z.z)))) 3. ==[ beta ]==> (^y.((b (a (^z.z)))(b (a (^z.z))))) 4. ==[ alpha ]==> (^x.((b (a (^y.y)))(b (a (^z.z))))) REDUCED to normal form. ------ 22048/1162584. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 22049/1162665. ------ 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. ------ 22050/1162719. ------ 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. ------ 22051/1162770. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.(^y1.y1)))((^z.z)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 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. ------ 22052/1162773. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 22053/1162782. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(y (^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22054/1162809. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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)) REDUCED to normal form. ------ 22055/1162863. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.b)) 5. ==[ beta ]==> ((^y.y)(^y1.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 22056/1162956. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 22057/1162983. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 22058/1163037. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 22059/1163064. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 22060/1163073. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^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. ------ 22061/1163082. ------ 1. ==[ start ]==> (((a a) b)((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a) b)((^x.(a a)) a)) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 22062/1163100. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b)(a a))) 3. ==[ beta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 22063/1163109. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b) b)) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 22064/1163127. ------ 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. ------ 22065/1163154. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 22066/1163181. ------ 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. ------ 22067/1163253. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.b))) 3. ==[ beta ]==> ((a a)(b (^y.b))) 4. ==[ alpha ]==> ((a a)(b (^x.b))) REDUCED to normal form. ------ 22068/1163262. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(a b))) 3. ==[ beta ]==> ((^y.a)((a a)(a b))) 4. ==[ alpha ]==> ((^x.a)((a a)(a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 22069/1163298. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)(^y.y))) REDUCED to normal form. ------ 22070/1163325. ------ 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. ------ 22071/1163352. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.a)) REDUCED to normal form. ------ 22072/1163379. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.(x1 x1)))) REDUCED to normal form. ------ 22073/1163406. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 22074/1163442. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 22075/1163469. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a b)) REDUCED to normal form. ------ 22076/1163496. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.y))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 22077/1163514. ------ 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) a) b)) REDUCED to normal form. ------ 22078/1163640. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b ((a a) a))) 3. ==[ beta ]==> ((a (a a))(b ((a a) a))) REDUCED to normal form. ------ 22079/1163667. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 22080/1163676. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 22081/1163721. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 22082/1163730. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 22083/1163748. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 22084/1163820. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(b (^z.a))) 3. ==[ beta ]==> ((a (a (^y.y)))(b (^z.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 22085/1163847. ------ 1. ==[ start ]==> (((a (a a))(a a))(a (^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))(a (^x.b))) REDUCED to normal form. ------ 22086/1163973. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 22087/1164027. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 22088/1164054. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 22089/1164081. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a)) c)) 3. ==[ beta ]==> ((a (^y.a))((a (a a)) c)) 4. ==[ alpha ]==> ((a (^x.a))((a (a a)) c)) REDUCED to normal form. ------ 22090/1164306. ------ 1. ==[ start ]==> ((a ((a a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 22091/1164432. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b ((a (^y.y))(^z.(z z)))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 22092/1164459. ------ 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. ------ 22093/1164513. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a)) b)) REDUCED to normal form. ------ 22094/1164621. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 22095/1164639. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))(a a))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))(a a))) REDUCED to normal form. ------ 22096/1164711. ------ 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. ------ 22097/1164738. ------ 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. ------ 22098/1164765. ------ 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))(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a a))) 7. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 22099/1164792. ------ 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. ------ 22100/1164810. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 22101/1164819. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 22102/1164972. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x)) a)) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 22103/1164990. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a)(a a))) 3. ==[ beta ]==> (b (((^z.z) a)(a a))) 4. ==[ alpha ]==> (b (((^x.x) a)(a a))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 22104/1164999. ------ 1. ==[ start ]==> (((a b) a)((^b.a) b)) 2. ==[ alpha ]==> (((a b) a)((^x.a) b)) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 22105/1165017. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a b)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 22106/1165026. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 22107/1165044. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 22108/1165080. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 22109/1165107. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 22110/1165134. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.a))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.a))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 22111/1165161. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 22112/1165179. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (a a))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 22113/1165188. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 22114/1165206. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (a (^y.y)))) REDUCED to normal form. ------ 22115/1165224. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a a)(a b))(^y.a)) 4. ==[ alpha ]==> (((a a)(a b))(^x.a)) REDUCED to normal form. ------ 22116/1165278. ------ 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 (^y.y))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 22117/1165305. ------ 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. ------ 22118/1165332. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a a))) 7. ==[ beta ]==> (a ((^y.(^z.z))(a a))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(a a))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 22119/1165359. ------ 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. ------ 22120/1165377. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y)) a)) 3. ==[ beta ]==> (b ((a (^y.y)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 22121/1165386. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 22122/1165413. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 22123/1165422. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (a (^a.a)))) 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. ------ 22124/1165449. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 22125/1165503. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a b)) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 22126/1168305. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22127/1168362. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(^b.(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. ------ 22128/1168371. ------ 1. ==[ start ]==> (((a a) b)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a a) b)(^x.(x x))) REDUCED to normal form. ------ 22129/1168578. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(^b.(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. ------ 22130/1168710. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 22131/1168809. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a) a) b)) 3. ==[ beta ]==> ((((a a) a) b)((((a a) a) b)(((a a) a) b))) REDUCED to normal form. ------ 22132/1168956. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 22133/1168965. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(z b))) REDUCED to normal form. ------ 22134/1169127. ------ 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))) REDUCED to normal form. ------ 22135/1169160. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22136/1169307. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a) a))) 5. ==[ beta ]==> ((^y.y)(^z.((a a) a))) 6. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 7. ==[ beta ]==> (^y.((a a) a)) 8. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 22137/1169631. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 22138/1169766. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^x.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 22139/1169910. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 22140/1170105. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a (^y.y))(^z.a)) b) 4. ==[ alpha ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 22141/1170261. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(x (x x)))) REDUCED to normal form. ------ 22142/1170492. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.(^z1.z1)))((^z.(^x1.x1))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (^x.((^z.z)((^z1.(^x2.x2))(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22143/1170513. ------ 1. ==[ start ]==> (((a a)(a b))(^c.c)) 2. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 22144/1170594. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^b.c)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.c)) REDUCED to normal form. ------ 22145/1170666. ------ 1. ==[ start ]==> (((^a.b) b)(^a.c)) 2. ==[ alpha ]==> (((^x.b) b)(^y.c)) 3. ==[ beta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 22146/1170699. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a) b)) 3. ==[ beta ]==> ((^y.y)(((a a) b)((a a) b))) 4. ==[ alpha ]==> ((^x.x)(((a a) b)((a a) b))) 5. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 22147/1170711. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22148/1170792. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a a))) 5. ==[ beta ]==> ((^y.y)(^y1.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 22149/1170903. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 22150/1170930. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 22151/1170957. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 22152/1170966. ------ 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. ------ 22153/1170993. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b (a b))) 3. ==[ beta ]==> ((^y.y)(b (a b))) 4. ==[ alpha ]==> ((^x.x)(b (a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 22154/1171011. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)(^b.(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. ------ 22155/1171020. ------ 1. ==[ start ]==> (((a a) b)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)(a ((^x.x)(a a)))) 3. ==[ beta ]==> (((a a) b)(a (a a))) REDUCED to normal form. ------ 22156/1171047. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)(a a))) REDUCED to normal form. ------ 22157/1171074. ------ 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. ------ 22158/1171101. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) a)) 7. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 22159/1171155. ------ 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)(((^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. ------ 22160/1171200. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.b))) 3. ==[ beta ]==> ((^y.a)(b (^z.b))) 4. ==[ alpha ]==> ((^x.a)(b (^y.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 22161/1171227. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a (^b.(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. ------ 22162/1171308. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))((^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. ------ 22163/1171362. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 22164/1171407. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 22165/1171434. ------ 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. ------ 22166/1171461. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a) a) b)) REDUCED to normal form. ------ 22167/1171497. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22168/1171551. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 22169/1171587. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b ((a a) a))) REDUCED to normal form. ------ 22170/1171605. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.b))) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 22171/1171614. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (a b))) REDUCED to normal form. ------ 22172/1171641. ------ 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. ------ 22173/1171668. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 22174/1171776. ------ 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. ------ 22175/1171812. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 22176/1171821. ------ 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. ------ 22177/1171848. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(a (^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. ------ 22178/1171902. ------ 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))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 22179/1171956. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.z)((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 22180/1172037. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.a)(^x1.a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.a))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 22181/1172163. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) b)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 22182/1172280. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.a))) 3. ==[ beta ]==> ((^y.y)(a (^y1.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 22183/1172334. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (a ((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> (a ((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> (a ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 22184/1172370. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c d)) 3. ==[ beta ]==> (((^y.y) b)(c d)) 4. ==[ alpha ]==> (((^x.x) b)(c d)) 5. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 22185/1172415. ------ 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)((^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. ------ 22186/1172442. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^a.a))) 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. ------ 22187/1172496. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 22188/1172505. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(c a)) REDUCED to normal form. ------ 22189/1172532. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 22190/1172559. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((^y.y)(^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. ------ 22191/1172595. ------ 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. ------ 22192/1172622. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a) c)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a) c)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 22193/1172703. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 22194/1172730. ------ 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. ------ 22195/1172748. ------ 1. ==[ start ]==> (((^a.b) a)(c c)) 2. ==[ alpha ]==> (((^x.b) a)(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 22196/1172757. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 22197/1172766. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 22198/1172847. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 22199/1172910. ------ 1. ==[ start ]==> ((((a a) a) b)(a (a (a a)))) REDUCED to normal form. ------ 22200/1172937. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) a)(a a))) 3. ==[ beta ]==> (((a b) a)(a (a a))) REDUCED to normal form. ------ 22201/1172955. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(c (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 22202/1172964. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 22203/1172982. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b (^z.a))) 3. ==[ beta ]==> ((^y.y)(b (^z.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 22204/1173036. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a)(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(a a))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 22205/1173072. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b c)) 3. ==[ beta ]==> (((^y.y)(^z.a))(b c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b c)) 5. ==[ beta ]==> ((^y.a)(b c)) 6. ==[ alpha ]==> ((^x.a)(b c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 22206/1173117. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 22207/1173126. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (a a))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (a a))) REDUCED to normal form. ------ 22208/1173144. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 22209/1173162. ------ 1. ==[ start ]==> (((a a)(a b))((a a) c)) REDUCED to normal form. ------ 22210/1173189. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a) a)) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 22211/1173216. ------ 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))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 22212/1173270. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.z))) 7. ==[ beta ]==> (a ((a (^y.y))(^z.z))) 8. ==[ alpha ]==> (a ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 22213/1173297. ------ 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. ------ 22214/1173315. ------ 1. ==[ start ]==> (((^a.b) b)(a c)) 2. ==[ alpha ]==> (((^x.b) b)(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 22215/1173324. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 22216/1173351. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a) b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a) b)) 3. ==[ beta ]==> ((a (a a))((a a) b)) REDUCED to normal form. ------ 22217/1173360. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22218/1173387. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 22219/1173441. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(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. ------ 22220/1176306. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (a b))) 3. ==[ beta ]==> ((b (a b))(^y.y)) 4. ==[ alpha ]==> ((b (a b))(^x.x)) REDUCED to normal form. ------ 22221/1176327. ------ 1. ==[ start ]==> (((a a) b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 22222/1176495. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))((a a) a))) 3. ==[ eta ]==> ((^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. ------ 22223/1176543. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(y y)))) REDUCED to normal form. ------ 22224/1176666. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 22225/1176921. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.z))) REDUCED to normal form. ------ 22226/1176990. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22227/1177272. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 22228/1177443. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.((y y) y))) REDUCED to normal form. ------ 22229/1177548. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((a (^x.x))(a (a a)))((a (^y.y))(a (a a))))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 22230/1177866. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 22231/1177881. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 22232/1178061. ------ 1. ==[ start ]==> ((^a.(a b))(c c)) 2. ==[ alpha ]==> ((^x.(x b))(c c)) 3. ==[ beta ]==> ((c c) b) REDUCED to normal form. ------ 22233/1178217. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 22234/1178325. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 22235/1178406. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 22236/1178448. ------ 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))) REDUCED to normal form. ------ 22237/1178496. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.((^a.a) a))) 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. ------ 22238/1178622. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(a (^z.z)))) 3. ==[ beta ]==> (b (^y.(a (^z.z)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 22239/1178631. ------ 1. ==[ start ]==> (((a b)(a a))(^a.c)) 2. ==[ alpha ]==> (((a b)(a a))(^x.c)) REDUCED to normal form. ------ 22240/1178655. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (a a))) 3. ==[ beta ]==> ((^y.y)((b (a a))(b (a a)))) 4. ==[ alpha ]==> ((^x.x)((b (a a))(b (a a)))) 5. ==[ beta ]==> ((b (a a))(b (a a))) REDUCED to normal form. ------ 22241/1178667. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.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. ------ 22242/1178748. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(^a.a))) 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. ------ 22243/1178877. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 22244/1178904. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 22245/1178931. ------ 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))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 22246/1178958. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 22247/1178967. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (a b))) REDUCED to normal form. ------ 22248/1178985. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(^b.(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. ------ 22249/1179003. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22250/1179030. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.b) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.b) b)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 22251/1179102. ------ 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. ------ 22252/1179129. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.z))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.y))) REDUCED to normal form. ------ 22253/1179156. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((a a)((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 22254/1179201. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(a a)))) REDUCED to normal form. ------ 22255/1179228. ------ 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))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 22256/1179246. ------ 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. ------ 22257/1179255. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 22258/1179273. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^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. ------ 22259/1179282. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 22260/1179309. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 22261/1179327. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 22262/1179417. ------ 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))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 22263/1179435. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a) b)) 3. ==[ beta ]==> ((^y.(y y))(((a a) a) b)) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a) b)) 5. ==[ beta ]==> ((((a a) a) b)(((a a) a) b)) REDUCED to normal form. ------ 22264/1179462. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> (((^y.y)(^z.z)) c) 6. ==[ alpha ]==> (((^x.x)(^y.y)) c) 7. ==[ beta ]==> ((^y.y) c) 8. ==[ alpha ]==> ((^x.x) c) 9. ==[ beta ]==> c REDUCED to normal form. ------ 22265/1179498. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 22266/1179525. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 22267/1179579. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.b)) REDUCED to normal form. ------ 22268/1179651. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 22269/1179669. ------ 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. ------ 22270/1179696. ------ 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. ------ 22271/1179723. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x)))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 22272/1179741. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b (^y.a))) 3. ==[ beta ]==> ((b b)(b (^y.a))) 4. ==[ alpha ]==> ((b b)(b (^x.a))) REDUCED to normal form. ------ 22273/1179750. ------ 1. ==[ start ]==> (((a (a a))(a a))((a a)((a a) a))) REDUCED to normal form. ------ 22274/1179786. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22275/1179813. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^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. ------ 22276/1179867. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 9. ==[ beta ]==> (a (^y.(y y))) 10. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 22277/1179876. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 22278/1179903. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 22279/1179930. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 22280/1179948. ------ 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)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 22281/1179984. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 22282/1180011. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 22283/1180038. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 7. ==[ beta ]==> ((^y.a)(^z.(z z))) 8. ==[ alpha ]==> ((^x.a)(^y.(y y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 22284/1180074. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(b (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 22285/1180101. ------ 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. ------ 22286/1180128. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a a))) 7. ==[ beta ]==> ((a a)((^y.y)(a a))) 8. ==[ alpha ]==> ((a a)((^x.x)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 22287/1180155. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 22288/1180182. ------ 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)(a ((^y.y) a))) 8. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 22289/1180209. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 22290/1180299. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^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. ------ 22291/1180335. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)((^z.z) a))) 5. ==[ beta ]==> (b ((^y.a)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 22292/1180362. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 22293/1180380. ------ 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. ------ 22294/1180407. ------ 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)(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1)) 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. ------ 22295/1180416. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 22296/1180443. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 8. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 22297/1180470. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 22298/1180497. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22299/1180524. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 22300/1180542. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 22301/1180560. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (a a))(a a))) REDUCED to normal form. ------ 22302/1180587. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a (^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a (^z.z)))) REDUCED to normal form. ------ 22303/1180614. ------ 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. ------ 22304/1180641. ------ 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. ------ 22305/1180713. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 22306/1180722. ------ 1. ==[ start ]==> ((a (a b))(c c)) REDUCED to normal form. ------ 22307/1180731. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 22308/1180812. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a) b)) IRREDUCIBLE: cycle. ------ 22309/1180875. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.(y y))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(x x))) REDUCED to normal form. ------ 22310/1180893. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z)) a)) 3. ==[ beta ]==> (b ((^z.(z z)) a)) 4. ==[ alpha ]==> (b ((^x.(x x)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 22311/1180920. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 22312/1180929. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 22313/1180983. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 22314/1181001. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a (^y.y))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 22315/1181010. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 22316/1181037. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 22317/1181064. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 22318/1181082. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) 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. ------ 22319/1181091. ------ 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. ------ 22320/1181109. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y)) b)) REDUCED to normal form. ------ 22321/1181127. ------ 1. ==[ start ]==> (((a a)(a b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(b (a (^x.x)))) REDUCED to normal form. ------ 22322/1181154. ------ 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. ------ 22323/1181181. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(a a))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 22324/1181208. ------ 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. ------ 22325/1181262. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b b)) REDUCED to normal form. ------ 22326/1181280. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 22327/1181289. ------ 1. ==[ start ]==> (((a b)(a a))(a c)) REDUCED to normal form. ------ 22328/1181316. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b (a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (a a))) 3. ==[ beta ]==> ((a (a a))(b (a a))) REDUCED to normal form. ------ 22329/1181325. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a) b)) 3. ==[ beta ]==> ((^y.(a a))((a a) b)) 4. ==[ alpha ]==> ((^x.(a a))((a a) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22330/1181352. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22331/1181406. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(^a.a))) 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. ------ 22332/1181486. ------ 1. ==[ start ]==> (^a.((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 22333/1181487. ------ 1. ==[ start ]==> (a ((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 22334/1182435. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22335/1183200. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 22336/1184148. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a))) a) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z))) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 22337/1184154. ------ 1. ==[ start ]==> ((^a.a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 22338/1184208. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 22339/1184289. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.b))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22340/1184328. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (^y.((^z.z)(y y))) 6. ==[ alpha ]==> (^x.((^y.y)(x x))) 7. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 22341/1184406. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^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 ]==> (^x.((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.z) a))) 7. ==[ beta ]==> (^x.((^z.z) a)) 8. ==[ alpha ]==> (^x.((^y.y) a)) 9. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 22342/1184724. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(a y))) 3. ==[ eta ]==> ((((^x.x) a)(a a)) a) 4. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 22343/1184748. ------ 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 (((^z.b)(^x1.x1))((^y1.b)(^z1.z1)))) 6. ==[ alpha ]==> (b (((^x.b)(^y.y))((^z.b)(^x1.x1)))) 7. ==[ beta ]==> (b (b ((^z.b)(^x1.x1)))) 8. ==[ alpha ]==> (b (b ((^x.b)(^y.y)))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 22344/1184973. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22345/1185099. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22346/1185102. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 22347/1185255. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 22348/1185426. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.a))) REDUCED to normal form. ------ 22349/1185570. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22350/1185864. ------ 1. ==[ start ]==> ((^a.(^a.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 22351/1185867. ------ 1. ==[ start ]==> ((a (^a.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 22352/1185993. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 22353/1186044. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.a)(a (^z.z))) b) 4. ==[ alpha ]==> (((^x.a)(a (^y.y))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 22354/1186200. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.d)) 2. ==[ alpha ]==> ((((a a) a) b)(^x.d)) REDUCED to normal form. ------ 22355/1186218. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(z (z z)))) 3. ==[ beta ]==> (b (^z.(z (z z)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 22356/1186431. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (a a))) 3. ==[ beta ]==> (^y.((c (a a))(c (a a)))) 4. ==[ alpha ]==> (^x.((c (a a))(c (a a)))) REDUCED to normal form. ------ 22357/1186479. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.a))) REDUCED to normal form. ------ 22358/1186560. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.z))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.y))) 7. ==[ beta ]==> (a (^y.(^z.y))) 8. ==[ alpha ]==> (a (^x.(^y.x))) REDUCED to normal form. ------ 22359/1186605. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 22360/1186614. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 22361/1186638. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.y1))((^z.(^x1.x1))(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2)))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22362/1186677. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^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. ------ 22363/1186812. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (b (^x1.x1)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 22364/1186824. ------ 1. ==[ start ]==> ((a a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 22365/1186878. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 22366/1186932. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 22367/1186959. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 22368/1186968. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (a b))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22369/1186995. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (a ((^y.y)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 22370/1187004. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 22371/1187022. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(a a))) 3. ==[ beta ]==> ((a (^y.y))((a b)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(a a))) REDUCED to normal form. ------ 22372/1187031. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 22373/1187049. ------ 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. ------ 22374/1187076. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.a))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.a))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 22375/1187157. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 22376/1187184. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 22377/1187220. ------ 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. ------ 22378/1187247. ------ 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. ------ 22379/1187274. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 22380/1187301. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 22381/1187337. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 22382/1187364. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 22383/1187391. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(a b))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 22384/1187409. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((a b) a)) 3. ==[ beta ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 22385/1187418. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.y))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 22386/1187562. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 22387/1187598. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b) a)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 22388/1187616. ------ 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. ------ 22389/1187643. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 22390/1187742. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (^c.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(b (^x.a))) REDUCED to normal form. ------ 22391/1187769. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (^z.b))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.b))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.b))) REDUCED to normal form. ------ 22392/1187868. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) 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. ------ 22393/1187895. ------ 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. ------ 22394/1187922. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 22395/1187949. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a) a) a)) REDUCED to normal form. ------ 22396/1187976. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.a))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.a))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 22397/1188066. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^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. ------ 22398/1188237. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 22399/1188327. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (b (((^y.y) a)(^z.a))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 7. ==[ beta ]==> (b (a (^y.a))) 8. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 22400/1188354. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 22401/1188408. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 22402/1188435. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (a a)) b)) 3. ==[ beta ]==> ((a (^y.(y y)))((a (a a)) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a)) b)) REDUCED to normal form. ------ 22403/1188462. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a) c)) 3. ==[ beta ]==> (((a (a a))(^x.a))(a c)) REDUCED to normal form. ------ 22404/1188534. ------ 1. ==[ start ]==> ((a (^a.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.b))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 22405/1188633. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 22406/1188660. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 22407/1188687. ------ 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. ------ 22408/1188705. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 22409/1188714. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 22410/1188723. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c c)) 3. ==[ beta ]==> ((^y.b)(c c)) 4. ==[ alpha ]==> ((^x.b)(c c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 22411/1188885. ------ 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 (a a)))) REDUCED to normal form. ------ 22412/1188894. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b) a)((^x.(x x)) a)) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 22413/1188912. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(a a))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 22414/1188921. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a) b)) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 22415/1188939. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 22416/1189002. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 22417/1189029. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 22418/1189056. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 22419/1189083. ------ 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. ------ 22420/1189101. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (a a))) REDUCED to normal form. ------ 22421/1189119. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 22422/1189146. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.a)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.a)) REDUCED to normal form. ------ 22423/1189200. ------ 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. ------ 22424/1189227. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^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. ------ 22425/1189254. ------ 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. ------ 22426/1189272. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 22427/1189281. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a a))(a (^y.y))) 4. ==[ alpha ]==> (((a b)(a a))(a (^x.x))) REDUCED to normal form. ------ 22428/1189308. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 22429/1189317. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (a a))) 3. ==[ beta ]==> ((^y.(a a))(b (a a))) 4. ==[ alpha ]==> ((^x.(a a))(b (a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22430/1189344. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (a (^a.a)))) 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. ------ 22431/1189398. ------ 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))(^y.(^z.z)))(b a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b a)) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 22432/1189479. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 22433/1189487. ------ 1. ==[ start ]==> (^a.((a b) b)) 2. ==[ alpha ]==> (^x.((x b) b)) REDUCED to normal form. ------ 22434/1189488. ------ 1. ==[ start ]==> (a ((a b) b)) REDUCED to normal form. ------ 22435/1191201. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 22436/1192149. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a))) b) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z))) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 22437/1192158. ------ 1. ==[ start ]==> (((a b) b) a) REDUCED to normal form. ------ 22438/1192164. ------ 1. ==[ start ]==> ((^a.a)((a b) b)) 2. ==[ alpha ]==> ((^x.x)((a b) b)) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 22439/1192173. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 22440/1192254. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22441/1192338. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 22442/1192347. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 22443/1192536. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a b))) REDUCED to normal form. ------ 22444/1192659. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 22445/1192758. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b) a)) 3. ==[ beta ]==> (((a b) a)(((a b) a)((a b) a))) REDUCED to normal form. ------ 22446/1192941. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(x1 b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z b))) REDUCED to normal form. ------ 22447/1193121. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 22448/1193283. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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)) REDUCED to normal form. ------ 22449/1193742. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.((^a.a)(^a.a)))) 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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22450/1193874. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 22451/1193877. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 22452/1194054. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(^z.(^x1.x1)))) 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. ------ 22453/1194228. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 22454/1194237. ------ 1. ==[ start ]==> (((a b) a)(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(x (x x)))) REDUCED to normal form. ------ 22455/1194318. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 22456/1194336. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 22457/1194417. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((^z.z) a))) 3. ==[ beta ]==> (b (^y.((^z.z) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 22458/1194441. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (^y.(((^z.a)(^x1.x1))((^z.a)(^x1.x1)))) 4. ==[ alpha ]==> (^x.(((^y.a)(^z.z))((^x1.a)(^y1.y1)))) 5. ==[ beta ]==> (^x.(a ((^x1.a)(^y1.y1)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.z)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 22459/1194570. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.c)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.c)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.c)) 5. ==[ beta ]==> (((^y.y) a)(^z.c)) 6. ==[ alpha ]==> (((^x.x) a)(^y.c)) 7. ==[ beta ]==> (a (^y.c)) 8. ==[ alpha ]==> (a (^x.c)) REDUCED to normal form. ------ 22460/1194624. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 22461/1194648. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z)) a)) 3. ==[ beta ]==> ((^y.y)(((a (^z.z)) a)((a (^z.z)) a))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y)) a)((a (^z.z)) a))) 5. ==[ beta ]==> (((a (^y.y)) a)((a (^z.z)) a)) 6. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y)) a)) REDUCED to normal form. ------ 22462/1194687. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 22463/1194741. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 22464/1194822. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 22465/1194831. ------ 1. ==[ start ]==> (((a b) b)(^a.a)) 2. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 22466/1194843. ------ 1. ==[ start ]==> ((a a)((a b) b)) REDUCED to normal form. ------ 22467/1194852. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 22468/1194906. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 22469/1194933. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 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. ------ 22470/1194987. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22471/1194996. ------ 1. ==[ start ]==> (((a a) b)(b (a b))) REDUCED to normal form. ------ 22472/1195014. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 22473/1195023. ------ 1. ==[ start ]==> (((a (^a.a)) 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. ------ 22474/1195050. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 22475/1195077. ------ 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. ------ 22476/1195131. ------ 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. ------ 22477/1195176. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.a))) 3. ==[ beta ]==> ((^y.a)(c (^z.a))) 4. ==[ alpha ]==> ((^x.a)(c (^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 22478/1195203. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 22479/1195212. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(a b))) REDUCED to normal form. ------ 22480/1195257. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(a a))) 5. ==[ beta ]==> (a ((^y.b)(a a))) 6. ==[ alpha ]==> (a ((^x.b)(a a))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 22481/1195338. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 22482/1195356. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) 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. ------ 22483/1195410. ------ 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. ------ 22484/1195437. ------ 1. ==[ start ]==> ((a (a (a a)))((a b) a)) REDUCED to normal form. ------ 22485/1195446. ------ 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 ((^z.b)(^x1.x1))) 8. ==[ alpha ]==> (b ((^x.b)(^y.y))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 22486/1195473. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 22487/1195527. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 9. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 10. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 22488/1195554. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 22489/1195590. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b ((a a) a))) REDUCED to normal form. ------ 22490/1195617. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 22491/1195644. ------ 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. ------ 22492/1195680. ------ 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. ------ 22493/1195752. ------ 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 b)((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b)((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((b b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 22494/1195797. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22495/1195878. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 8. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 9. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 10. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 11. ==[ beta ]==> (a ((^y.y) a)) 12. ==[ alpha ]==> (a ((^x.x) a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22496/1195932. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22497/1195959. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a a) a)) 6. ==[ alpha ]==> ((^x.x)((a a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 22498/1196013. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(^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. ------ 22499/1196166. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 22500/1196256. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 22501/1196310. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 22502/1196391. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 22503/1196418. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1)(^x2.x2)))) 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. ------ 22504/1196472. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 22505/1196535. ------ 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. ------ 22506/1196553. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 22507/1196571. ------ 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. ------ 22508/1196598. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b b)) REDUCED to normal form. ------ 22509/1196625. ------ 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. ------ 22510/1196706. ------ 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. ------ 22511/1196733. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 22512/1196742. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 22513/1196823. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.x1))) IRREDUCIBLE: cycle. ------ 22514/1196886. ------ 1. ==[ start ]==> ((((a a) a) b)(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)(b ((^x.x) a))) 3. ==[ beta ]==> ((((a a) a) b)(b a)) REDUCED to normal form. ------ 22515/1196904. ------ 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 ((^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. ------ 22516/1196913. ------ 1. ==[ start ]==> (((a b) a)(a (a (a a)))) REDUCED to normal form. ------ 22517/1196940. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a a)(^x.b))(a (a a))) REDUCED to normal form. ------ 22518/1196994. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 22519/1197012. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 22520/1197048. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c b)) 3. ==[ beta ]==> (((^y.y)(^z.a))(c b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c b)) 5. ==[ beta ]==> ((^y.a)(c b)) 6. ==[ alpha ]==> ((^x.a)(c b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 22521/1197075. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b c)) REDUCED to normal form. ------ 22522/1197093. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (b ((^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. ------ 22523/1197120. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 22524/1197138. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x)) b)) REDUCED to normal form. ------ 22525/1197192. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a) a)) 5. ==[ beta ]==> ((a (^y.y))((^z.a) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.a) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 22526/1197219. ------ 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. ------ 22527/1197273. ------ 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. ------ 22528/1197291. ------ 1. ==[ start ]==> (((^a.b) b)(b b)) 2. ==[ alpha ]==> (((^x.b) b)(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 22529/1197300. ------ 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. ------ 22530/1197327. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y)) a)) 3. ==[ beta ]==> ((a (a a))((a (^y.y)) a)) 4. ==[ alpha ]==> ((a (a a))((a (^x.x)) a)) REDUCED to normal form. ------ 22531/1197336. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22532/1197363. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22533/1197417. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 22534/1197498. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (b (a (^x1.x1))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 22535/1197507. ------ 1. ==[ start ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 22536/1200177. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a))) c) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z))) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 22537/1200186. ------ 1. ==[ start ]==> (((a b) b) b) REDUCED to normal form. ------ 22538/1200210. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((a b) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22539/1200384. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(a a)))) REDUCED to normal form. ------ 22540/1200453. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a) c)) 3. ==[ beta ]==> (^y.((^z.a) c)) 4. ==[ alpha ]==> (^x.((^y.a) c)) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 22541/1200525. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 22542/1200600. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.(y y)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 22543/1200696. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 22544/1200789. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(a y))) 3. ==[ eta ]==> (((^x.(x x)) a) a) 4. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 22545/1200978. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 22546/1201020. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22547/1201146. ------ 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. ------ 22548/1201329. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.((a a) a))) REDUCED to normal form. ------ 22549/1201500. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((z z) z))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.((z z) z))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.((y y) y))) 5. ==[ beta ]==> ((a a)(^y.((y y) y))) 6. ==[ alpha ]==> ((a a)(^x.((x x) x))) REDUCED to normal form. ------ 22550/1201578. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> (((((^x.x) a)((^y.y) a))(((^z.z) a)((^x1.x1) a)))(((^y1.y1) a)((^z1.z1) a))) 5. ==[ beta ]==> (((a ((^y.y) a))(((^z.z) a)((^x1.x1) a)))(((^y1.y1) a)((^z1.z1) a))) 6. ==[ alpha ]==> (((a ((^x.x) a))(((^y.y) a)((^z.z) a)))(((^x1.x1) a)((^y1.y1) a))) 7. ==[ beta ]==> (((a a)(((^y.y) a)((^z.z) a)))(((^x1.x1) a)((^y1.y1) a))) 8. ==[ alpha ]==> (((a a)(((^x.x) a)((^y.y) a)))(((^z.z) a)((^x1.x1) a))) 9. ==[ beta ]==> (((a a)(a ((^y.y) a)))(((^z.z) a)((^x1.x1) a))) 10. ==[ alpha ]==> (((a a)(a ((^x.x) a)))(((^y.y) a)((^z.z) a))) 11. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^z.z) a))) 12. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 22551/1201788. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 22552/1201932. ------ 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. ------ 22553/1202265. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.d)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.d)) 3. ==[ beta ]==> (b (^z.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 22554/1202274. ------ 1. ==[ start ]==> (((a b) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 22555/1202382. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 22556/1202454. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 22557/1202463. ------ 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. ------ 22558/1202478. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) 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. ------ 22559/1202553. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.((^a.a) a))) 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. ------ 22560/1202724. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.b)) 3. ==[ beta ]==> ((^y.y)(^x1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 22561/1202778. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.x1)) 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. ------ 22562/1202859. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (b (^x1.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 22563/1202868. ------ 1. ==[ start ]==> (((a b) b)(^a.(^a.a))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 22564/1202898. ------ 1. ==[ start ]==> ((a (^a.a))((a b) b)) 2. ==[ alpha ]==> ((a (^x.x))((a b) b)) REDUCED to normal form. ------ 22565/1202907. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 22566/1202961. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 22567/1202988. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 22568/1203015. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 22569/1203042. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 22570/1203069. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(a a))) REDUCED to normal form. ------ 22571/1203087. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a)) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) a)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 22572/1203114. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 22573/1203141. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a) c)) 2. ==[ alpha ]==> ((a (^x.a))((^y.a) c)) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 22574/1203159. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y) a)) 7. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 22575/1203186. ------ 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. ------ 22576/1203213. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 22577/1203258. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.b))) REDUCED to normal form. ------ 22578/1203285. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a (^y.(a a)))) 3. ==[ beta ]==> ((a a)(a (^y.(a a)))) 4. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 22579/1203303. ------ 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. ------ 22580/1203312. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(a a))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 22581/1203330. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 22582/1203366. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 22583/1203384. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 22584/1203474. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(a b))) 3. ==[ beta ]==> ((a a)((^y.y)(a b))) 4. ==[ alpha ]==> ((a a)((^x.x)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 22585/1203492. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b) a)) 3. ==[ beta ]==> ((^y.(y y))((a b) a)) 4. ==[ alpha ]==> ((^x.(x x))((a b) a)) 5. ==[ beta ]==> (((a b) a)((a b) a)) REDUCED to normal form. ------ 22586/1203519. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 22587/1203555. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 22588/1203582. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 22589/1203609. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 22590/1203636. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 22591/1203663. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.b)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 22592/1203681. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.b) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.b) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.b) a)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 22593/1203708. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 22594/1203726. ------ 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. ------ 22595/1203753. ------ 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.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((a (a a)) a)) REDUCED to normal form. ------ 22596/1203780. ------ 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. ------ 22597/1203798. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c (^y.(^z.z)))) 3. ==[ beta ]==> ((b b)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 22598/1203807. ------ 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. ------ 22599/1203834. ------ 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. ------ 22600/1203870. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 22601/1203924. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 7. ==[ beta ]==> ((a (a a))(^y.a)) 8. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 22602/1203933. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) b)(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a (a a)) b)(a ((^y.y) a))) 6. ==[ alpha ]==> (((a (a a)) b)(a ((^x.x) a))) 7. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 22603/1203960. ------ 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)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22604/1203978. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 22605/1203987. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^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. ------ 22606/1204014. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a) a)) REDUCED to normal form. ------ 22607/1204041. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 22608/1204059. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1) b)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) b)) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 22609/1204068. ------ 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.(^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. ------ 22610/1204095. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 7. ==[ beta ]==> ((^y.(y y))(^z.a)) 8. ==[ alpha ]==> ((^x.(x x))(^y.a)) 9. ==[ beta ]==> ((^y.a)(^y.a)) 10. ==[ alpha ]==> ((^x.a)(^y.a)) 11. ==[ beta ]==> a REDUCED to normal form. ------ 22611/1204158. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (^y.y))) REDUCED to normal form. ------ 22612/1204185. ------ 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. ------ 22613/1204212. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 22614/1204239. ------ 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. ------ 22615/1204266. ------ 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))(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. ------ 22616/1204356. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (a (((^x.x)(^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. ------ 22617/1204392. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.(y y))(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> (b ((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 22618/1204419. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 22619/1204437. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 22620/1204464. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 22621/1204473. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 22622/1204500. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))(^a.a))) 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. ------ 22623/1204518. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (a a)) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) 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)) 7. ==[ beta ]==> ((a a)((a (a a)) b)) REDUCED to normal form. ------ 22624/1204527. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))(^a.(^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. ------ 22625/1204554. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22626/1204581. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 22627/1204617. ------ 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. ------ 22628/1204644. ------ 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. ------ 22629/1204671. ------ 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. ------ 22630/1204698. ------ 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 (^x.x)) a)) REDUCED to normal form. ------ 22631/1204725. ------ 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. ------ 22632/1204770. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y))(a a))) 3. ==[ beta ]==> (b ((^y.(y y))(a a))) 4. ==[ alpha ]==> (b ((^x.(x x))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 22633/1204788. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 22634/1204869. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a)) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a)) a)) IRREDUCIBLE: cycle. ------ 22635/1204932. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 22636/1204959. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a b) a)(^y.(y y))) 4. ==[ alpha ]==> (((a b) a)(^x.(x x))) REDUCED to normal form. ------ 22637/1204977. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y)) a)) 3. ==[ beta ]==> ((a b)((^y.(y y)) a)) 4. ==[ alpha ]==> ((a b)((^x.(x x)) a)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 22638/1205004. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a) b)) 3. ==[ beta ]==> ((^y.y)((^z.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 22639/1205040. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 22640/1205067. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 22641/1205094. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(a a))) 5. ==[ beta ]==> ((^y.a)((^z.a)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 22642/1205121. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 22643/1205139. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)(^y.a))) 3. ==[ beta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 22644/1205148. ------ 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. ------ 22645/1205166. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a) a)) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 22646/1205184. ------ 1. ==[ start ]==> (((a a)(a b))(c (a a))) REDUCED to normal form. ------ 22647/1205211. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (a (^y.y)))) REDUCED to normal form. ------ 22648/1205238. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 22649/1205265. ------ 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. ------ 22650/1205292. ------ 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. ------ 22651/1205337. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(a a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 22652/1205346. ------ 1. ==[ start ]==> (((a b)(a a))(b b)) REDUCED to normal form. ------ 22653/1205382. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z)) a)) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z)) a)) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y)) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22654/1205409. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a) b)) 3. ==[ beta ]==> ((^y.y)((a a) b)) 4. ==[ alpha ]==> ((^x.x)((a a) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 22655/1205463. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a) 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. ------ 22656/1205544. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (b ((^x1.x1) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 22657/1205553. ------ 1. ==[ start ]==> (((a b) b)(a (^a.a))) 2. ==[ alpha ]==> (((a b) b)(a (^x.x))) REDUCED to normal form. ------ 22658/1205570. ------ 1. ==[ start ]==> (^a.((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (^x.((^y.(x x))(^z.z))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 22659/1205571. ------ 1. ==[ start ]==> (a ((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (a ((^x.(a a))(^y.y))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 22660/1206168. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(a b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(a y))) 3. ==[ eta ]==> ((^x.(x (x x))) a) 4. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 22661/1208058. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a (^x1.x1)))(^z.(a (^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(a (^z.z)))(^x1.(a (^y1.y1))))) 5. ==[ beta ]==> ((^y.(a (^z.z)))(^x1.(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a (^y.y)))(^z.(a (^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 22662/1208241. ------ 1. ==[ start ]==> (((a b) b) c) REDUCED to normal form. ------ 22663/1208265. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((^y.(a a))(^z.z)) 4. ==[ alpha ]==> ((^x.(a a))(^y.y)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22664/1208292. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^z.(^x1.x1)))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (b ((^x1.b)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 22665/1208319. ------ 1. ==[ start ]==> ((^a.b)((^c.a)(^b.a))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 22666/1208400. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^z.a)(^x1.a))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 22667/1208466. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 22668/1208517. ------ 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. ------ 22669/1208859. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)(a b))) 3. ==[ beta ]==> (((^y.y)(a b))(((^y.y)(a b))((^y.y)(a b)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a b))((^z.z)(a b)))) 5. ==[ beta ]==> ((a b)(((^y.y)(a b))((^z.z)(a b)))) 6. ==[ alpha ]==> ((a b)(((^x.x)(a b))((^y.y)(a b)))) 7. ==[ beta ]==> ((a b)((a b)((^y.y)(a b)))) 8. ==[ alpha ]==> ((a b)((a b)((^x.x)(a b)))) 9. ==[ beta ]==> ((a b)((a b)(a b))) REDUCED to normal form. ------ 22670/1208862. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(a b))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(a x))) 3. ==[ eta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 22671/1209060. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(y b))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y b))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x b))) REDUCED to normal form. ------ 22672/1209084. ------ 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. ------ 22673/1209210. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b (^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. ------ 22674/1209222. ------ 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. ------ 22675/1209564. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.a))) 5. ==[ beta ]==> ((a a)(^y.(^z.a))) 6. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 22676/1209852. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 22677/1209975. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 22678/1209996. ------ 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. ------ 22679/1210131. ------ 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. ------ 22680/1210155. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(a a))) 3. ==[ beta ]==> (((^y.(y y))(a a)) b) 4. ==[ alpha ]==> (((^x.(x x))(a a)) b) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 22681/1210338. ------ 1. ==[ start ]==> (((a b) a)(^c.d)) 2. ==[ alpha ]==> (((a b) a)(^x.d)) REDUCED to normal form. ------ 22682/1210356. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(y (y y)))) 3. ==[ beta ]==> ((a b)(^y.(y (y y)))) 4. ==[ alpha ]==> ((a b)(^x.(x (x x)))) REDUCED to normal form. ------ 22683/1210527. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 22684/1210617. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 22685/1210698. ------ 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. ------ 22686/1210749. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a (^x1.x1)))((^z.z)(a (^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a (^z.z)))((^x1.x1)(a (^y1.y1))))) 5. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)(a (^y1.y1)))) 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. ------ 22687/1210752. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 22688/1210761. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.c)) 3. ==[ beta ]==> ((^y.(a a))(^z.c)) 4. ==[ alpha ]==> ((^x.(a a))(^y.c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22689/1210842. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a a))) 5. ==[ beta ]==> ((^y.y)(^y1.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 22690/1210923. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> (b (^x1.(x1 x1))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 22691/1210932. ------ 1. ==[ start ]==> (((a b) b)(^b.a)) 2. ==[ alpha ]==> (((a b) b)(^x.a)) REDUCED to normal form. ------ 22692/1210962. ------ 1. ==[ start ]==> ((a a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a a)((^x.(a a))(^y.y))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 22693/1210980. ------ 1. ==[ start ]==> (((^a.a) a)((a b) b)) 2. ==[ alpha ]==> (((^x.x) a)((a b) b)) 3. ==[ beta ]==> (a ((a b) b)) REDUCED to normal form. ------ 22694/1210989. ------ 1. ==[ start ]==> ((a (a a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 22695/1211016. ------ 1. ==[ start ]==> ((a b)((^c.a)(^b.a))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 22696/1211070. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 22697/1211097. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 22698/1211133. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b (a b))) 3. ==[ beta ]==> ((^y.y)(b (a b))) 4. ==[ alpha ]==> ((^x.x)(b (a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 22699/1211160. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(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)))) 5. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 22700/1211169. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 22701/1211187. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a b)(a a))) 3. ==[ beta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 22702/1211196. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 22703/1211214. ------ 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. ------ 22704/1211295. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 22705/1211322. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((a a) 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. ------ 22706/1211385. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)(^y.y))) REDUCED to normal form. ------ 22707/1211412. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 22708/1211439. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 7. ==[ beta ]==> ((a (^x.x))(^z.a)) 8. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 22709/1211475. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 22710/1211502. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 22711/1211529. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 22712/1211547. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a a)(^y.b))) 3. ==[ beta ]==> ((a a)((a a)(^y.b))) 4. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 22713/1211556. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)(a b))) 3. ==[ beta ]==> ((a (a (a a)))(a b)) REDUCED to normal form. ------ 22714/1211628. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 22715/1211754. ------ 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))(a (a b))) REDUCED to normal form. ------ 22716/1211763. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b) a)) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 22717/1211781. ------ 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. ------ 22718/1211907. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (^z.a))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.a))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 22719/1211916. ------ 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. ------ 22720/1212006. ------ 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. ------ 22721/1212033. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.(z z)))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.(y y)))) 7. ==[ beta ]==> (a (a (^y.(y y)))) 8. ==[ alpha ]==> (a (a (^x.(x x)))) REDUCED to normal form. ------ 22722/1212060. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 22723/1212114. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a) a)) 3. ==[ beta ]==> ((a (^y.a))(((a a) a) a)) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a) a)) REDUCED to normal form. ------ 22724/1212141. ------ 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. ------ 22725/1212204. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 22726/1212231. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))(^x1.(^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. ------ 22727/1212375. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 22728/1212465. ------ 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. ------ 22729/1212492. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) 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. ------ 22730/1212546. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 22731/1212573. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 22732/1212600. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a)) b)) REDUCED to normal form. ------ 22733/1212672. ------ 1. ==[ start ]==> ((a (^a.b))(b (a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))(b (a (a a)))) REDUCED to normal form. ------ 22734/1212690. ------ 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. ------ 22735/1212798. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 22736/1212825. ------ 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. ------ 22737/1212843. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)((a (a a))(^y.y))) 3. ==[ beta ]==> (b ((a (a a))(^y.y))) 4. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 22738/1212852. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(a a))) 3. ==[ beta ]==> ((a (a b))((a a)(a a))) REDUCED to normal form. ------ 22739/1213005. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x)) c)) REDUCED to normal form. ------ 22740/1213023. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b ((^z.z) a))) 3. ==[ beta ]==> (b (b ((^z.z) a))) 4. ==[ alpha ]==> (b (b ((^x.x) a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 22741/1213050. ------ 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. ------ 22742/1213059. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 22743/1213077. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a a))) 5. ==[ beta ]==> (((^y.y) a)(a a)) 6. ==[ alpha ]==> (((^x.x) a)(a a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 22744/1213113. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 22745/1213131. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)((^x.x) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a) a)) REDUCED to normal form. ------ 22746/1213167. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 22747/1213194. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 22748/1213212. ------ 1. ==[ start ]==> (((^a.b)(a a))(b c)) 2. ==[ alpha ]==> (((^x.b)(a a))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 22749/1213221. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 22750/1213257. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 22751/1213284. ------ 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.(^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. ------ 22752/1213311. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 7. ==[ beta ]==> ((a (^x.x))(^z.a)) 8. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 22753/1213365. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(b (^y.(^z.z)))) 7. ==[ beta ]==> (a (b (^y.(^z.z)))) 8. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 22754/1213392. ------ 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. ------ 22755/1213410. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 22756/1213419. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 22757/1213446. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 22758/1213455. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a c)) 3. ==[ beta ]==> ((^y.(a a))(a c)) 4. ==[ alpha ]==> ((^x.(a a))(a c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22759/1213482. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(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. ------ 22760/1213536. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 22761/1213617. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 22762/1213626. ------ 1. ==[ start ]==> (((a b) b)((^a.a) a)) 2. ==[ alpha ]==> (((a b) b)((^x.x) a)) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 22763/1213652. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (^x.(((^y.y)(x x)) x)) 3. ==[ beta ]==> (^x.((x x) x)) REDUCED to normal form. ------ 22764/1213653. ------ 1. ==[ start ]==> (a (((^a.a)(a a)) a)) 2. ==[ alpha ]==> (a (((^x.x)(a a)) a)) 3. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 22765/1215933. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (^y.((^z.((^x1.x1) a))(^z.((^x1.x1) a)))) 4. ==[ alpha ]==> (^x.((^y.((^z.z) a))(^x1.((^y1.y1) a)))) 5. ==[ beta ]==> (^x.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 22766/1216350. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a) a) 2. ==[ alpha ]==> ((((^x.x)(a a)) a) a) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 22767/1216356. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(a a)) a) 4. ==[ alpha ]==> (((^x.x)(a a)) a) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 22768/1216365. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 22769/1216383. ------ 1. ==[ start ]==> ((^a.(a a))((a b) b)) 2. ==[ alpha ]==> ((^x.(x x))((a b) b)) 3. ==[ beta ]==> (((a b) b)((a b) b)) REDUCED to normal form. ------ 22770/1216410. ------ 1. ==[ start ]==> ((^a.b)(((a a) a) c)) 2. ==[ alpha ]==> ((^x.b)(((a a) a) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 22771/1216446. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22772/1216557. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^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. ------ 22773/1216566. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 22774/1216773. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(y y)))) 5. ==[ beta ]==> (a (^y.(^z.(y y)))) 6. ==[ alpha ]==> (a (^x.(^y.(x x)))) REDUCED to normal form. ------ 22775/1216851. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 22776/1216950. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)(^y.b))) 3. ==[ beta ]==> (((a a)(^y.b))(((a a)(^y.b))((a a)(^y.b)))) 4. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.b))((a a)(^z.b)))) REDUCED to normal form. ------ 22777/1216962. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(a z))) 3. ==[ eta ]==> (((^x.x)(^y.(y y))) a) 4. ==[ beta ]==> ((^y.(y y)) a) 5. ==[ alpha ]==> ((^x.(x x)) a) 6. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22778/1217151. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.y))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.y))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 22779/1217160. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y b))) REDUCED to normal form. ------ 22780/1217340. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 22781/1217826. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.z))) 5. ==[ beta ]==> (a (^z.(^x1.z))) 6. ==[ alpha ]==> (a (^x.(^y.x))) REDUCED to normal form. ------ 22782/1218066. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^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. ------ 22783/1218246. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))((a (a a))(^y.y))) 3. ==[ beta ]==> (((a (a a))(^y.y)) b) 4. ==[ alpha ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 22784/1218339. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(a (a a)))) IRREDUCIBLE: cycle. ------ 22785/1218447. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 22786/1218456. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(y (y y)))) REDUCED to normal form. ------ 22787/1218633. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(((^z.z)((^x1.x1) a))((^z.z)((^x1.x1) a)))) 4. ==[ alpha ]==> (^x.(((^y.y)((^z.z) a))((^x1.x1)((^y1.y1) a)))) 5. ==[ beta ]==> (^x.(((^z.z) a)((^x1.x1)((^y1.y1) a)))) 6. ==[ alpha ]==> (^x.(((^y.y) a)((^z.z)((^x1.x1) a)))) 7. ==[ beta ]==> (^x.(a ((^z.z)((^x1.x1) a)))) 8. ==[ alpha ]==> (^x.(a ((^y.y)((^z.z) a)))) 9. ==[ beta ]==> (^x.(a ((^z.z) a))) 10. ==[ alpha ]==> (^x.(a ((^y.y) a))) 11. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 22788/1218636. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^y.a)) REDUCED to normal form. ------ 22789/1218789. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.c)) REDUCED to normal form. ------ 22790/1218840. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.(^x1.x1)))((a a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.(^z.z)))((a a)(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 22791/1218852. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(a (^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22792/1219014. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 22793/1219023. ------ 1. ==[ start ]==> (((a b) b)(^a.(a a))) 2. ==[ alpha ]==> (((a b) b)(^x.(x x))) REDUCED to normal form. ------ 22794/1219050. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.y)) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 22795/1219062. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a a)(((^x.x)(a a)) a)) 3. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 22796/1219071. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 22797/1219089. ------ 1. ==[ start ]==> ((a (a a))((a b) b)) REDUCED to normal form. ------ 22798/1219098. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 22799/1219116. ------ 1. ==[ start ]==> ((a b)(((a a) a) c)) REDUCED to normal form. ------ 22800/1219152. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 22801/1219206. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22802/1219215. ------ 1. ==[ start ]==> (((a a) b)(c ((a a) a))) REDUCED to normal form. ------ 22803/1219233. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22804/1219242. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (a b))) REDUCED to normal form. ------ 22805/1219260. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 22806/1219269. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 22807/1219296. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(a a))) REDUCED to normal form. ------ 22808/1219350. ------ 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)(((^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. ------ 22809/1219431. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))((a a) a))) REDUCED to normal form. ------ 22810/1219458. ------ 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. ------ 22811/1219476. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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. ------ 22812/1219503. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 5. ==[ beta ]==> ((^y.b)(a a)) 6. ==[ alpha ]==> ((^x.b)(a a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 22813/1219557. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 22814/1219575. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(^y.(y y)))) 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. ------ 22815/1219602. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 22816/1219656. ------ 1. ==[ start ]==> ((a (a (a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.b))) REDUCED to normal form. ------ 22817/1219665. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(a b))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(a b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(a b))) 5. ==[ beta ]==> (((^y.y)(a b))((^y.y)(a b))) 6. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(a b))) 7. ==[ beta ]==> ((a b)((^y.y)(a b))) 8. ==[ alpha ]==> ((a b)((^x.x)(a b))) 9. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 22818/1219692. ------ 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)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 22819/1219746. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22820/1219773. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 22821/1219800. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 22822/1219809. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(c (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (^z.z))) REDUCED to normal form. ------ 22823/1219836. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b ((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b ((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((a a) a))) REDUCED to normal form. ------ 22824/1219854. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a)(a a))(^y.b)) 6. ==[ alpha ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 22825/1219863. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (a b))) REDUCED to normal form. ------ 22826/1219926. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 22827/1219971. ------ 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. ------ 22828/1220016. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22829/1220043. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 22830/1220097. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22831/1220151. ------ 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))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 22832/1220178. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))((^y1.y1)(^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. ------ 22833/1220412. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^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)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 22834/1220475. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(c (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(y y)))) 5. ==[ beta ]==> (c (^y.(y y))) 6. ==[ alpha ]==> (c (^x.(x x))) REDUCED to normal form. ------ 22835/1220529. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (^z.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (^z.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (^z.a))) 5. ==[ beta ]==> (a (a (^z.a))) 6. ==[ alpha ]==> (a (a (^x.a))) REDUCED to normal form. ------ 22836/1220610. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 22837/1220637. ------ 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.(^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. ------ 22838/1220691. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))(^a.a))) 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. ------ 22839/1220772. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^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. ------ 22840/1220817. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 22841/1220844. ------ 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. ------ 22842/1220871. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 22843/1220952. ------ 1. ==[ start ]==> ((a (a b))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (a b))((a (a a))(^x.x))) REDUCED to normal form. ------ 22844/1220961. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(a a))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(a a))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 22845/1221042. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(a (a a)))) IRREDUCIBLE: cycle. ------ 22846/1221105. ------ 1. ==[ start ]==> ((((a a) a) b)(c (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(c (a (^x.x)))) REDUCED to normal form. ------ 22847/1221123. ------ 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 ((^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. ------ 22848/1221132. ------ 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. ------ 22849/1221150. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 22850/1221159. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (a (a a)))) REDUCED to normal form. ------ 22851/1221213. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 22852/1221231. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b (^y.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b (^y.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.a))) REDUCED to normal form. ------ 22853/1221240. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 22854/1221312. ------ 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 ((^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. ------ 22855/1221321. ------ 1. ==[ start ]==> (((a b)(^a.a))(b c)) 2. ==[ alpha ]==> (((a b)(^x.x))(b c)) REDUCED to normal form. ------ 22856/1221339. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 22857/1221357. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) a) a)) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 22858/1221384. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y)) b)) REDUCED to normal form. ------ 22859/1221438. ------ 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. ------ 22860/1221465. ------ 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 (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 22861/1221510. ------ 1. ==[ start ]==> (((^a.b) b)(c a)) 2. ==[ alpha ]==> (((^x.b) b)(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 22862/1221519. ------ 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. ------ 22863/1221546. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 22864/1221555. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22865/1221582. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22866/1221636. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.y1))) 5. ==[ beta ]==> ((^y.y)(b (^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(b (^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 22867/1221717. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 22868/1221726. ------ 1. ==[ start ]==> (((a b) b)(a (a a))) REDUCED to normal form. ------ 22869/1221753. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(a a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(a a)) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 22870/1224042. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.((^z.(^x1.a))(^z.(^x1.a)))) 4. ==[ alpha ]==> (^x.((^y.(^z.a))(^x1.(^y1.a)))) 5. ==[ beta ]==> (^x.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 22871/1224459. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a) b) 2. ==[ alpha ]==> ((((^x.x)(a a)) a) b) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 22872/1224483. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^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. ------ 22873/1224684. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 22874/1224726. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b) b)) 3. ==[ beta ]==> (^y.((^z.b) b)) 4. ==[ alpha ]==> (^x.((^y.b) b)) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 22875/1224798. ------ 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. ------ 22876/1224900. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 22877/1224969. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 22878/1225278. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 22879/1225293. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22880/1225419. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(^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. ------ 22881/1225629. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.((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))) REDUCED to normal form. ------ 22882/1225800. ------ 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. ------ 22883/1225851. ------ 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. ------ 22884/1226088. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.((^a.a)(^a.a)))) 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)))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 22885/1226232. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.((^y1.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))(^z.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 22886/1226358. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 22887/1226565. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.d)) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.d)) 3. ==[ beta ]==> ((a b)(^y.d)) 4. ==[ alpha ]==> ((a b)(^x.d)) REDUCED to normal form. ------ 22888/1226574. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 22889/1226682. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(z z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 22890/1226751. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)(^z.a))) 3. ==[ beta ]==> (^y.(((a a)(^z.a))((a a)(^z.a)))) 4. ==[ alpha ]==> (^x.(((a a)(^y.a))((a a)(^z.a)))) REDUCED to normal form. ------ 22891/1226754. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 22892/1226853. ------ 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. ------ 22893/1226925. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 22894/1226958. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b b)) 3. ==[ beta ]==> ((^y.y)((b b)(b b))) 4. ==[ alpha ]==> ((^x.x)((b b)(b b))) 5. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 22895/1226970. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22896/1227132. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (b (^x1.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 22897/1227141. ------ 1. ==[ start ]==> (((a b) b)(^b.(^a.a))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 22898/1227168. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.z))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 22899/1227182. ------ 1. ==[ start ]==> (^a.(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.(^y.((^z.z)(x x)))) 3. ==[ beta ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 22900/1227183. ------ 1. ==[ start ]==> (a (^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (a (^x.((^y.y)(a a)))) 3. ==[ beta ]==> (a (^x.(a a))) REDUCED to normal form. ------ 22901/1227198. ------ 1. ==[ start ]==> ((a (^a.a))(((^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. ------ 22902/1227207. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.z))) 3. ==[ beta ]==> (a ((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (a ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 22903/1227225. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 22904/1227234. ------ 1. ==[ start ]==> (((a a) a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 22905/1227288. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 22906/1227315. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 22907/1227342. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 22908/1227369. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 22909/1227396. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)(^b.(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. ------ 22910/1227414. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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 a) REDUCED to normal form. ------ 22911/1227441. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b) b)) 2. ==[ alpha ]==> ((a (^x.a))((^y.b) b)) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 22912/1227459. ------ 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. ------ 22913/1227486. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z) a)) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) a)) 7. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 22914/1227513. ------ 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. ------ 22915/1227558. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.a))) REDUCED to normal form. ------ 22916/1227585. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (^y.b))) 3. ==[ beta ]==> ((a a)(b (^y.b))) 4. ==[ alpha ]==> ((a a)(b (^x.b))) REDUCED to normal form. ------ 22917/1227612. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 22918/1227630. ------ 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. ------ 22919/1227639. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 22920/1227684. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.a)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.a)) REDUCED to normal form. ------ 22921/1227774. ------ 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 a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 22922/1227792. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.b))) 3. ==[ beta ]==> ((^y.(y y))((a a)(^z.b))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(^y.b))) 5. ==[ beta ]==> (((a a)(^y.b))((a a)(^y.b))) 6. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.b))) REDUCED to normal form. ------ 22923/1227819. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a b) a)) 3. ==[ beta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 22924/1227855. ------ 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)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 22925/1227882. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 22926/1227909. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 22927/1227936. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 22928/1227990. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.b)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.b)) REDUCED to normal form. ------ 22929/1228008. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b) a)) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 22930/1228026. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 22931/1228053. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(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. ------ 22932/1228080. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a (^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 22933/1228107. ------ 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. ------ 22934/1228134. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 22935/1228224. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22936/1228233. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 22937/1228260. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (a ((^y.(y y))((^z.z) a))) 6. ==[ alpha ]==> (a ((^x.(x x))((^y.y) a))) 7. ==[ beta ]==> (a (((^y.y) a)((^y.y) a))) 8. ==[ alpha ]==> (a (((^x.x) a)((^y.y) a))) 9. ==[ beta ]==> (a (a ((^y.y) a))) 10. ==[ alpha ]==> (a (a ((^x.x) a))) 11. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 22938/1228278. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 9. ==[ beta ]==> (a (^y.(y y))) 10. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 22939/1228287. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 22940/1228305. ------ 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 (^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. ------ 22941/1228314. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 22942/1228341. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)((a a) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a (^x.a))((a a) a)) REDUCED to normal form. ------ 22943/1228359. ------ 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 (^y.y)))(((a a) a) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 22944/1228395. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(^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. ------ 22945/1228485. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a 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. ------ 22946/1228512. ------ 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. ------ 22947/1228539. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a a))) 7. ==[ beta ]==> ((a a)((^y.y)(a a))) 8. ==[ alpha ]==> ((a a)((^x.x)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 22948/1228566. ------ 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. ------ 22949/1228692. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a a))) 5. ==[ beta ]==> (b ((^y.(^z.z))(a a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 22950/1228719. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 22951/1228737. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(a (^y.a))) 6. ==[ alpha ]==> (((a a) a)(a (^x.a))) REDUCED to normal form. ------ 22952/1228764. ------ 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 (^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(z1 z1)))) 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. ------ 22953/1228773. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^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. ------ 22954/1228800. ------ 1. ==[ start ]==> ((((^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)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 8. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 22955/1228818. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1)) a)) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 22956/1228827. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 22957/1228854. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22958/1228881. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 22959/1228917. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (a (a a)))) REDUCED to normal form. ------ 22960/1228944. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 22961/1228971. ------ 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. ------ 22962/1228998. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (((a (a a)) a)(a (a (^y.y)))) 6. ==[ alpha ]==> (((a (a a)) a)(a (a (^x.x)))) REDUCED to normal form. ------ 22963/1229025. ------ 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.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 22964/1229052. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 22965/1229070. ------ 1. ==[ start ]==> (((^a.b) a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 22966/1229088. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(^z.z))) 3. ==[ beta ]==> ((^y.b)((a (a a))(^z.z))) 4. ==[ alpha ]==> ((^x.b)((a (a a))(^y.y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 22967/1229169. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.(z z)))) IRREDUCIBLE: cycle. ------ 22968/1229232. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 22969/1229250. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.z)) c)) 3. ==[ beta ]==> (b ((a (^z.z)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 22970/1229259. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 22971/1229286. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(y y))) REDUCED to normal form. ------ 22972/1229304. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(z z)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22973/1229340. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 22974/1229367. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 22975/1229394. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a (^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.(z z)))) 6. ==[ alpha ]==> ((^x.a)(a (^y.(y y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 22976/1229421. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 22977/1229439. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 22978/1229448. ------ 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. ------ 22979/1229466. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 22980/1229538. ------ 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 (^y.y))(b (a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 22981/1229565. ------ 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. ------ 22982/1229592. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))(a a))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.z))(a a))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(a a))) 7. ==[ beta ]==> (a ((a (^y.y))(a a))) 8. ==[ alpha ]==> (a ((a (^x.x))(a a))) REDUCED to normal form. ------ 22983/1229619. ------ 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. ------ 22984/1229637. ------ 1. ==[ start ]==> (((^a.b) b)(a (^b.a))) 2. ==[ alpha ]==> (((^x.b) b)(a (^y.a))) 3. ==[ beta ]==> (b (a (^y.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 22985/1229646. ------ 1. ==[ start ]==> (((a b)(a a))(c a)) REDUCED to normal form. ------ 22986/1229673. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b b)) 3. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 22987/1229682. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 22988/1229709. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) 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. ------ 22989/1229763. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 22990/1229844. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 22991/1229853. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(^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. ------ 22992/1229880. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(a (^a.a))) 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. ------ 22993/1229897. ------ 1. ==[ start ]==> (^a.((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.((^y.y)((^z.z)(x x)))) 3. ==[ beta ]==> (^x.((^z.z)(x x))) 4. ==[ alpha ]==> (^x.((^y.y)(x x))) 5. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 22994/1229898. ------ 1. ==[ start ]==> (a ((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (a ((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> (a ((^y.y)(a a))) 4. ==[ alpha ]==> (a ((^x.x)(a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 22995/1229901. ------ 1. ==[ start ]==> ((^a.a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (^y.((^z.z)(a a))) 4. ==[ alpha ]==> (^x.((^y.y)(a a))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 22996/1230720. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22997/1231791. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 4. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 22998/1232613. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a))) a) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a))) a) 3. ==[ beta ]==> (((^y.y)(a a)) a) 4. ==[ alpha ]==> (((^x.x)(a a)) a) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 22999/1232619. ------ 1. ==[ start ]==> ((^a.a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23000/1232622. ------ 1. ==[ start ]==> ((a a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 23001/1232646. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((^y.(a a))(^z.z))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.y))((^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. ------ 23002/1232673. ------ 1. ==[ start ]==> ((^a.b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 23003/1232754. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^z.(z z))(^x1.(^y1.y1)))(^y.y)) 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. ------ 23004/1232847. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 23005/1232871. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a b)(a a))) 3. ==[ beta ]==> (^y.((a b)(a a))) 4. ==[ alpha ]==> (^x.((a b)(a a))) REDUCED to normal form. ------ 23006/1233213. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))((a a) a))(((^y.(^z.z))((a a) a))((^y.(^z.z))((a a) a)))) 4. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.(^x1.x1))((a a) a))((^y1.(^z1.z1))((a a) a)))) 5. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))((a a) a))((^y1.(^z1.z1))((a a) a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((a a) a))((^x1.(^y1.y1))((a a) a)))) 7. ==[ beta ]==> (((^y.(^z.z))((a a) a))((^x1.(^y1.y1))((a a) a))) 8. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 11. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 12. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23007/1233438. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23008/1233441. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z b))) REDUCED to normal form. ------ 23009/1233774. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 23010/1233945. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 23011/1234089. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a (^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a (^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (^x.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 23012/1234329. ------ 1. ==[ start ]==> ((^a.(^a.b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(c ((^z.z) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 23013/1234377. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 23014/1234509. ------ 1. ==[ start ]==> ((^a.(a b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a (^y.(^z.z))) b) 4. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 23015/1234512. ------ 1. ==[ start ]==> ((a (a b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 23016/1234719. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.d)) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.d)) REDUCED to normal form. ------ 23017/1234737. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(z (z z)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 23018/1234896. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b c)) 3. ==[ beta ]==> (^y.((b c)(b c))) 4. ==[ alpha ]==> (^x.((b c)(b c))) REDUCED to normal form. ------ 23019/1234917. ------ 1. ==[ start ]==> (((a a)(a b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a a)(a b))(^x.a)) REDUCED to normal form. ------ 23020/1234998. ------ 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. ------ 23021/1235070. ------ 1. ==[ start ]==> (((^a.b) b)(^b.c)) 2. ==[ alpha ]==> (((^x.b) b)(^y.c)) 3. ==[ beta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 23022/1235079. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 23023/1235103. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a a))((^z.(^x1.x1))(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a)))) 5. ==[ beta ]==> (((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a))) 6. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 9. ==[ beta ]==> ((^y.(^z.z))(a a)) 10. ==[ alpha ]==> ((^x.(^y.y))(a a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23024/1235142. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.c)) 3. ==[ beta ]==> ((^y.y)(^x1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 23025/1235196. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(a (^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))) REDUCED to normal form. ------ 23026/1235277. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> (b (^x1.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 23027/1235286. ------ 1. ==[ start ]==> (((a b) b)(^c.a)) 2. ==[ alpha ]==> (((a b) b)(^x.a)) REDUCED to normal form. ------ 23028/1235313. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.a)) 3. ==[ beta ]==> (((a a) a)(^y.a)) 4. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 23029/1235331. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.z)) 3. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 23030/1235343. ------ 1. ==[ start ]==> ((a a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)((^y.y)(a a))) 4. ==[ alpha ]==> ((a a)((^x.x)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 23031/1235361. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(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)) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 23032/1235370. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.y))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 23033/1235388. ------ 1. ==[ start ]==> (((a a) a)((a b) b)) REDUCED to normal form. ------ 23034/1235397. ------ 1. ==[ start ]==> ((a b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 23035/1235451. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 23036/1235478. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 23037/1235541. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b (a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (a b))) 3. ==[ beta ]==> ((a (^y.y))(b (a b))) 4. ==[ alpha ]==> ((a (^x.x))(b (a b))) REDUCED to normal form. ------ 23038/1235568. ------ 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)(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. ------ 23039/1235577. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 23040/1235595. ------ 1. ==[ start ]==> ((a (^b.a))((a b)(a a))) 2. ==[ alpha ]==> ((a (^x.a))((a b)(a a))) REDUCED to normal form. ------ 23041/1235631. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a) c)) 3. ==[ beta ]==> ((^y.y)((^z.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 23042/1235676. ------ 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. ------ 23043/1235703. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^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. ------ 23044/1235757. ------ 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. ------ 23045/1235793. ------ 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. ------ 23046/1235820. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 23047/1235856. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 23048/1235883. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 23049/1235910. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 23050/1235937. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 23051/1236009. ------ 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. ------ 23052/1236135. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b ((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(b ((a a) a))) REDUCED to normal form. ------ 23053/1236162. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 23054/1236297. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23055/1236324. ------ 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. ------ 23056/1236387. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))(^a.(^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. ------ 23057/1236414. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.a))) 5. ==[ beta ]==> (a ((a (a a))(^y.a))) 6. ==[ alpha ]==> (a ((a (a a))(^x.a))) REDUCED to normal form. ------ 23058/1236441. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 23059/1236468. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 23060/1236495. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)(^z.a))) 3. ==[ beta ]==> ((a (^y.a))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 23061/1236522. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 23062/1236549. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> (((^y.y)(^z.z)) b) 8. ==[ alpha ]==> (((^x.x)(^y.y)) b) 9. ==[ beta ]==> ((^y.y) b) 10. ==[ alpha ]==> ((^x.x) b) 11. ==[ beta ]==> b REDUCED to normal form. ------ 23063/1236585. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 23064/1236612. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 23065/1236639. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.a))(^b.(^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. ------ 23066/1236756. ------ 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)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1) 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. ------ 23067/1236810. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a ((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a ((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 23068/1236846. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x) b)(((^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. ------ 23069/1236873. ------ 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. ------ 23070/1236927. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) REDUCED to normal form. ------ 23071/1236954. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 23072/1236981. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z) a)) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y) a)) 5. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 23073/1237008. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a)) b)) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23074/1237053. ------ 1. ==[ start ]==> ((a (^a.b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))(c ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.b))(c a)) REDUCED to normal form. ------ 23075/1237071. ------ 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. ------ 23076/1237098. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 23077/1237206. ------ 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. ------ 23078/1237233. ------ 1. ==[ start ]==> ((a (a b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 23079/1237386. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a) b)) 3. ==[ beta ]==> ((((a a) a) b)(a b)) REDUCED to normal form. ------ 23080/1237404. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (a (^z.z)))) 3. ==[ beta ]==> (b (c (a (^z.z)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 23081/1237413. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b) a)((a (^x.x)) c)) REDUCED to normal form. ------ 23082/1237431. ------ 1. ==[ start ]==> (((^a.a)(a b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))(b ((^y.y) a))) 3. ==[ beta ]==> ((a b)(b ((^y.y) a))) 4. ==[ alpha ]==> ((a b)(b ((^x.x) a))) 5. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 23083/1237458. ------ 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)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 23084/1237494. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) b)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 23085/1237512. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 23086/1237575. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 23087/1237593. ------ 1. ==[ start ]==> (((^a.b)(a a))(c b)) 2. ==[ alpha ]==> (((^x.b)(a a))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 23088/1237602. ------ 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. ------ 23089/1237620. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b c)) 2. ==[ alpha ]==> ((a (^x.(a a)))(b c)) REDUCED to normal form. ------ 23090/1237638. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a b))((^y.y) a)) 4. ==[ alpha ]==> (((a a)(a b))((^x.x) a)) 5. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 23091/1237665. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 23092/1237692. ------ 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.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 23093/1237719. ------ 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. ------ 23094/1237773. ------ 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. ------ 23095/1237791. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a) c)) 2. ==[ alpha ]==> (((^x.b) b)((^y.y) c)) 3. ==[ beta ]==> (b ((^y.y) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 23096/1237800. ------ 1. ==[ start ]==> (((a b)(a a))(a (^b.a))) 2. ==[ alpha ]==> (((a b)(a a))(a (^x.a))) REDUCED to normal form. ------ 23097/1237827. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 23098/1237836. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b b)) 3. ==[ beta ]==> ((^y.(a a))(b b)) 4. ==[ alpha ]==> ((^x.(a a))(b b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23099/1237863. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(a c)) 3. ==[ beta ]==> ((^y.y)(a c)) 4. ==[ alpha ]==> ((^x.x)(a c)) 5. ==[ beta ]==> (a c) REDUCED to normal form. ------ 23100/1237917. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (a (^a.a)))) 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. ------ 23101/1237998. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 23102/1238007. ------ 1. ==[ start ]==> (((a b) b)((a a) a)) REDUCED to normal form. ------ 23103/1238034. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y) a)) 3. ==[ beta ]==> (((a a) a)((^y.y) a)) 4. ==[ alpha ]==> (((a a) a)((^x.x) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 23104/1238052. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a a)) 3. ==[ beta ]==> (((^y.y)(a a))(a a)) 4. ==[ alpha ]==> (((^x.x)(a a))(a a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 23105/1238060. ------ 1. ==[ start ]==> (^a.((a a)(^b.(a a)))) 2. ==[ alpha ]==> (^x.((x x)(^y.(x x)))) REDUCED to normal form. ------ 23106/1238061. ------ 1. ==[ start ]==> (a ((a a)(^b.(a a)))) 2. ==[ alpha ]==> (a ((a a)(^x.(a a)))) REDUCED to normal form. ------ 23107/1238073. ------ 1. ==[ start ]==> ((^a.(^a.a))(^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. ------ 23108/1238883. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23109/1240776. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(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. ------ 23110/1240785. ------ 1. ==[ start ]==> (((a a)(^b.(a a))) a) 2. ==[ alpha ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 23111/1240791. ------ 1. ==[ start ]==> ((^a.a)((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 3. ==[ beta ]==> ((a a)(^y.(a a))) 4. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 23112/1240800. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 23113/1240803. ------ 1. ==[ start ]==> ((a (^a.a))(^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. ------ 23114/1240818. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((((^y.y)(a a)) a)(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a)) a)) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a)) a)) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 23115/1240845. ------ 1. ==[ start ]==> ((^a.b)((a b) b)) 2. ==[ alpha ]==> ((^x.b)((a b) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 23116/1241019. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 23117/1241028. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 23118/1241217. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(a b))) REDUCED to normal form. ------ 23119/1241235. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 23120/1241424. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.a)) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 23121/1241610. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23122/1241613. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 23123/1241964. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 23124/1242168. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((^y.(^z.z)) b)((^y.(^z.z)) b))((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((((^x.(^y.y)) b)((^z.(^x1.x1)) b))((^y1.(^z1.z1)) b)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) b))((^y1.(^z1.z1)) b)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) b))((^x1.(^y1.y1)) b)) 7. ==[ beta ]==> (((^y.(^z.z)) b)((^x1.(^y1.y1)) b)) 8. ==[ alpha ]==> (((^x.(^y.y)) b)((^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 ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23125/1242423. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.((^a.a)(^a.a)))) 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)(^x.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 23126/1242501. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 23127/1242675. ------ 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)))) REDUCED to normal form. ------ 23128/1242693. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 23129/1242909. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 23130/1242999. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((^y.a)(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.a)(^y.((^z.z) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 23131/1243068. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(a (^y1.y1)))((^z.(^x1.x1))(a (^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2))))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))(a (^x2.x2))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(a (^y1.y1))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(a (^y1.y1)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(a (^x1.x1)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23132/1243089. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 23133/1243242. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(a (^z.z)))) 3. ==[ beta ]==> (b (^y.(a (^z.z)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 23134/1243251. ------ 1. ==[ start ]==> (((a b)(a a))(^b.c)) 2. ==[ alpha ]==> (((a b)(a a))(^x.c)) REDUCED to normal form. ------ 23135/1243275. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))(^x1.x1))((a (^z.z))(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))(^z.z))((a (^x1.x1))(^y1.y1)))) 5. ==[ beta ]==> (((a (^y.y))(^z.z))((a (^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 23136/1243314. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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))) REDUCED to normal form. ------ 23137/1243368. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 23138/1243449. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (b (^x1.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 23139/1243458. ------ 1. ==[ start ]==> (((a b) b)(^a.b)) 2. ==[ alpha ]==> (((a b) b)(^x.b)) REDUCED to normal form. ------ 23140/1243485. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(y y))) 3. ==[ beta ]==> (((a a) a)(^y.(y y))) 4. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 23141/1243503. ------ 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. ------ 23142/1243512. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 23143/1243524. ------ 1. ==[ start ]==> ((a a)((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 23144/1243533. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 23145/1243551. ------ 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. ------ 23146/1243560. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23147/1243578. ------ 1. ==[ start ]==> ((a b)((a b) b)) REDUCED to normal form. ------ 23148/1243587. ------ 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)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 23149/1243668. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 23150/1243695. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)(^c.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. ------ 23151/1243722. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 23152/1243731. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a b))) REDUCED to normal form. ------ 23153/1243749. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 23154/1243758. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 23155/1243794. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b) b)) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 23156/1243812. ------ 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. ------ 23157/1243893. ------ 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 (^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. ------ 23158/1243920. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((a a)((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 23159/1243938. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.b))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.b))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.b))) 5. ==[ beta ]==> (a (b (^y.b))) 6. ==[ alpha ]==> (a (b (^x.b))) REDUCED to normal form. ------ 23160/1243947. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(a b))) REDUCED to normal form. ------ 23161/1243965. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 23162/1244037. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.a))) 7. ==[ beta ]==> (((a a) a)(^y.a)) 8. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 23163/1244064. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 23164/1244091. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 23165/1244127. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.(^z.z))((a a) a))((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 9. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 10. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23166/1244154. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 23167/1244235. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 23168/1244262. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 7. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 23169/1244325. ------ 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. ------ 23170/1244343. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 23171/1244361. ------ 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. ------ 23172/1244415. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 23173/1244433. ------ 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 b)((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((b b)((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((b b)((a (a a)) a)) REDUCED to normal form. ------ 23174/1244478. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23175/1244505. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 23176/1244613. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 8. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 9. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 10. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 11. ==[ beta ]==> (a ((^y.y) a)) 12. ==[ alpha ]==> (a ((^x.x) a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23177/1244640. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 23178/1244694. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 23179/1244901. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 23180/1244991. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (a (b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 23181/1245072. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 23182/1245099. ------ 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)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1) 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. ------ 23183/1245108. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c d)) REDUCED to normal form. ------ 23184/1245153. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 23185/1245234. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 23186/1245306. ------ 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. ------ 23187/1245333. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 23188/1245360. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a) c)) 5. ==[ beta ]==> ((a (^y.y))((^z.a) c)) 6. ==[ alpha ]==> ((a (^x.x))((^y.a) c)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 23189/1245405. ------ 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. ------ 23190/1245423. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(a (^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 23191/1245504. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) IRREDUCIBLE: cycle. ------ 23192/1245585. ------ 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 ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 23193/1245594. ------ 1. ==[ start ]==> (((a b) a)(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)(c (a (^x.x)))) REDUCED to normal form. ------ 23194/1245612. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 23195/1245621. ------ 1. ==[ start ]==> (((a a)(^a.b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(b ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.b))(b a)) REDUCED to normal form. ------ 23196/1245639. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 23197/1245675. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 23198/1245702. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 23199/1245729. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((a a)((^z.z) a))) 6. ==[ alpha ]==> ((^x.a)((a a)((^y.y) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 23200/1245774. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(a a))) 3. ==[ beta ]==> (b ((^y.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 23201/1245783. ------ 1. ==[ start ]==> (((a b)(^a.a))(c b)) 2. ==[ alpha ]==> (((a b)(^x.x))(c b)) REDUCED to normal form. ------ 23202/1245801. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 23203/1245819. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))((a a)(^x.a))) REDUCED to normal form. ------ 23204/1245846. ------ 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. ------ 23205/1245873. ------ 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)) REDUCED to normal form. ------ 23206/1245927. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a) a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a) a)) 5. ==[ beta ]==> (((^y.y) a)((^z.a) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.a) a)) 7. ==[ beta ]==> (a ((^y.a) a)) 8. ==[ alpha ]==> (a ((^x.a) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23207/1245954. ------ 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. ------ 23208/1245972. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((a a)(a (^y.y)))) 3. ==[ beta ]==> (b ((a a)(a (^y.y)))) 4. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 23209/1245981. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a) c)) 2. ==[ alpha ]==> (((a b)(a a))((^x.x) c)) 3. ==[ beta ]==> (((a b)(a a)) c) REDUCED to normal form. ------ 23210/1246008. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 23211/1246017. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23212/1246044. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 23213/1246098. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23214/1246179. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (b ((^x1.x1)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 23215/1246188. ------ 1. ==[ start ]==> (((a b) b)(a b)) REDUCED to normal form. ------ 23216/1246215. ------ 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. ------ 23217/1246233. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a (^z.z))) 3. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 4. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 23218/1246242. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 23219/1248144. ------ 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 a)) REDUCED to normal form. ------ 23220/1248975. ------ 1. ==[ start ]==> (((a a)(^b.(a a))) b) 2. ==[ alpha ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 23221/1248999. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 23222/1249011. ------ 1. ==[ start ]==> (((^a.a) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (a (^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (a (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (a (^x.(a a))) REDUCED to normal form. ------ 23223/1249227. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 23224/1249242. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a)) a)) 3. ==[ beta ]==> (^y.((^z.(a a)) a)) 4. ==[ alpha ]==> (^x.((^y.(a a)) a)) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 23225/1249314. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ eta ]==> ((^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. ------ 23226/1249443. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) REDUCED to normal form. ------ 23227/1249485. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 23228/1249623. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 23229/1249830. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.(a b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(x b))) REDUCED to normal form. ------ 23230/1249935. ------ 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. ------ 23231/1250172. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 23232/1250343. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.((z z) z))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((z z) z))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((y y) y))) 5. ==[ beta ]==> ((a a)(^y.((y y) y))) 6. ==[ alpha ]==> ((a a)(^x.((x x) x))) REDUCED to normal form. ------ 23233/1250367. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(a a))(((^z.z)(^x1.x1))(a a)))(((^y1.y1)(^z1.z1))(a a))) 5. ==[ beta ]==> ((((^y.y)(a a))(((^z.z)(^x1.x1))(a a)))(((^y1.y1)(^z1.z1))(a a))) 6. ==[ alpha ]==> ((((^x.x)(a a))(((^y.y)(^z.z))(a a)))(((^x1.x1)(^y1.y1))(a a))) 7. ==[ beta ]==> (((a a)(((^y.y)(^z.z))(a a)))(((^x1.x1)(^y1.y1))(a a))) 8. ==[ alpha ]==> (((a a)(((^x.x)(^y.y))(a a)))(((^z.z)(^x1.x1))(a a))) 9. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(^x1.x1))(a a))) 10. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))(a a))) 11. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a a))) 12. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a a))) 13. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 14. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 15. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 23234/1250496. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.y))) 5. ==[ beta ]==> (b (^y.(^z.y))) 6. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 23235/1250631. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 23236/1250700. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 23237/1250775. ------ 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. ------ 23238/1250880. ------ 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. ------ 23239/1250883. ------ 1. ==[ start ]==> ((a (a b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(a (a a)))) REDUCED to normal form. ------ 23240/1251225. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 23241/1251267. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((a (^z.z))(^x1.(^y1.y1)))((a (^z.z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2))))) REDUCED to normal form. ------ 23242/1251396. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.((^y1.y1) 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. ------ 23243/1251450. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 23244/1251513. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 23245/1251567. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.b)) 5. ==[ beta ]==> ((^y.y)(^y1.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 23246/1251648. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 23247/1251657. ------ 1. ==[ start ]==> (((a b) b)(^b.(a a))) 2. ==[ alpha ]==> (((a b) b)(^x.(a a))) REDUCED to normal form. ------ 23248/1251684. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.z))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 23249/1251702. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.a)) 3. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 23250/1251711. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 23251/1251741. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 23252/1251750. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)((^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 ((^y.y)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 23253/1251768. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^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. ------ 23254/1251777. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 23255/1251795. ------ 1. ==[ start ]==> (((^a.a)(a a))((a b) b)) 2. ==[ alpha ]==> (((^x.x)(a a))((a b) b)) 3. ==[ beta ]==> ((a a)((a b) b)) REDUCED to normal form. ------ 23256/1251804. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 23257/1251831. ------ 1. ==[ start ]==> (((^a.a) b)((^c.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))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 23258/1251858. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 23259/1251885. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))(^b.(^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. ------ 23260/1251912. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 23261/1251939. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 23262/1251966. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 23263/1251984. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a)) a)) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 23264/1252002. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(a a))) REDUCED to normal form. ------ 23265/1252029. ------ 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. ------ 23266/1252056. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^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)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 23267/1252155. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (^y.b))) REDUCED to normal form. ------ 23268/1252182. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(a a)))) REDUCED to normal form. ------ 23269/1252209. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(a a))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 23270/1252227. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 23271/1252317. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 23272/1252362. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 23273/1252398. ------ 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))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 23274/1252416. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a) a) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a) b)) 5. ==[ beta ]==> ((^y.y)(((a a) a) b)) 6. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 23275/1252452. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 23276/1252479. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 23277/1252506. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 23278/1252569. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a (a b))) REDUCED to normal form. ------ 23279/1252596. ------ 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. ------ 23280/1252623. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((a (a (^x.x)))(a (^z.z))) 8. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 23281/1252650. ------ 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. ------ 23282/1252677. ------ 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. ------ 23283/1252767. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 23284/1252776. ------ 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) REDUCED to normal form. ------ 23285/1252803. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 23286/1252821. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.a))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.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. ------ 23287/1252830. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((^x1.x1) a)((^x1.x1) 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. ------ 23288/1252848. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(x1 x1)))) 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. ------ 23289/1252857. ------ 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)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 23290/1252884. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^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. ------ 23291/1252911. ------ 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. ------ 23292/1253055. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(b (^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 23293/1253082. ------ 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. ------ 23294/1253109. ------ 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))((^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. ------ 23295/1253145. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1)) c)) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1)) 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. ------ 23296/1253235. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(a (^c.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. ------ 23297/1253262. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 23298/1253280. ------ 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. ------ 23299/1253307. ------ 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)(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.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. ------ 23300/1253316. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 23301/1253343. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 23302/1253361. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 23303/1253370. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 23304/1253397. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23305/1253424. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 23306/1253442. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a) c)) 3. ==[ beta ]==> ((a (^x.b))(a c)) REDUCED to normal form. ------ 23307/1253487. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b (a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (a (a a)))) REDUCED to normal form. ------ 23308/1253514. ------ 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. ------ 23309/1253541. ------ 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. ------ 23310/1253568. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(a (a (^z.z)))) 8. ==[ alpha ]==> ((a (^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 23311/1253595. ------ 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. ------ 23312/1253613. ------ 1. ==[ start ]==> (((^a.b) a)(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(b (^y.(y y)))) 3. ==[ beta ]==> (b (b (^y.(y y)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 23313/1253622. ------ 1. ==[ start ]==> ((a (a b))((a a)(a (a a)))) REDUCED to normal form. ------ 23314/1253712. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.a))) IRREDUCIBLE: cycle. ------ 23315/1253775. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)(^y.y))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a) a) b)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 23316/1253793. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a) b)) 3. ==[ beta ]==> (b (((^z.z) a) b)) 4. ==[ alpha ]==> (b (((^x.x) a) b)) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 23317/1253802. ------ 1. ==[ start ]==> (((a b) a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 23318/1253820. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y)) c)) 3. ==[ beta ]==> ((a b)((a (^y.y)) c)) 4. ==[ alpha ]==> ((a b)((a (^x.x)) c)) REDUCED to normal form. ------ 23319/1253829. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 23320/1253901. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a) b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a) b)) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 23321/1253937. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.a))) 5. ==[ beta ]==> ((^y.a)(b (^z.a))) 6. ==[ alpha ]==> ((^x.a)(b (^y.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 23322/1253964. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 23323/1253982. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (b (((^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. ------ 23324/1253991. ------ 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. ------ 23325/1254009. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 23326/1254027. ------ 1. ==[ start ]==> (((a a)(a b))(b c)) REDUCED to normal form. ------ 23327/1254108. ------ 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. ------ 23328/1254135. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(a ((^z.z) a))) 5. ==[ beta ]==> (((^y.y) a)(a ((^z.z) a))) 6. ==[ alpha ]==> (((^x.x) a)(a ((^y.y) a))) 7. ==[ beta ]==> (a (a ((^y.y) a))) 8. ==[ alpha ]==> (a (a ((^x.x) a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 23329/1254162. ------ 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. ------ 23330/1254180. ------ 1. ==[ start ]==> (((^a.b) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 23331/1254189. ------ 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. ------ 23332/1254225. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23333/1254252. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 23334/1254306. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 23335/1254387. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (b ((a a)(^x1.x1))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 23336/1254396. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(a a))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(a a))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 23337/1254423. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 23338/1254441. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 23339/1254450. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 23340/1254467. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(x b))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23341/1254468. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(a b))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 23342/1254498. ------ 1. ==[ start ]==> ((^a.(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.((^z.z)(a a)))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.((^y.y)(a a)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23343/1254723. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (^y.(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (^x.(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 23344/1256955. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.z))(^z.(^x1.z)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.y))(^x1.(^y1.x1)))) 5. ==[ beta ]==> ((^y.(^z.y))(^x1.(^y1.x1))) 6. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.z))) 7. ==[ beta ]==> (^y.(^z.(^x1.z))) 8. ==[ alpha ]==> (^x.(^y.(^z.y))) REDUCED to normal form. ------ 23345/1257192. ------ 1. ==[ start ]==> (((a a)(^b.(a a))) c) 2. ==[ alpha ]==> (((a a)(^x.(a a))) c) REDUCED to normal form. ------ 23346/1257210. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b)) a) 2. ==[ alpha ]==> (((^x.(^y.y))(a b)) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 23347/1257216. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))(a b)) 4. ==[ alpha ]==> ((^x.(^y.y))(a b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23348/1257243. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((^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)))) 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. ------ 23349/1257246. ------ 1. ==[ start ]==> ((a (a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 23350/1257270. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 23351/1257351. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.(y1 y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23352/1257468. ------ 1. ==[ start ]==> ((^a.(^b.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (^x.(a ((^y.y)(a a)))) 5. ==[ beta ]==> (^x.(a (a a))) REDUCED to normal form. ------ 23353/1257471. ------ 1. ==[ start ]==> ((a (^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a (^x.a))(^y.(y y))) REDUCED to normal form. ------ 23354/1257810. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)((^z.z)(^x1.x1)))(((^y.a)((^z.z)(^x1.x1)))((^y.a)((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> (((^x.a)((^y.y)(^z.z)))(((^x1.a)((^y1.y1)(^z1.z1)))((^x2.a)((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> (a (((^x1.a)((^y1.y1)(^z1.z1)))((^x2.a)((^y2.y2)(^z2.z2))))) 6. ==[ alpha ]==> (a (((^x.a)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1))))) 7. ==[ beta ]==> (a (a ((^x1.a)((^y1.y1)(^z1.z1))))) 8. ==[ alpha ]==> (a (a ((^x.a)((^y.y)(^z.z))))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 23355/1258035. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b ((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23356/1258056. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.x))) REDUCED to normal form. ------ 23357/1258569. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.a))) 5. ==[ beta ]==> ((a a)(^y.(^z.a))) 6. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 23358/1258857. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 23359/1259001. ------ 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. ------ 23360/1259106. ------ 1. ==[ start ]==> ((^a.(a b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(b (^y.(y y)))) 3. ==[ beta ]==> ((b (^y.(y y))) b) 4. ==[ alpha ]==> ((b (^x.(x x))) b) REDUCED to normal form. ------ 23361/1259118. ------ 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. ------ 23362/1259493. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c b)) 3. ==[ beta ]==> (^y.((c b)(c b))) 4. ==[ alpha ]==> (^x.((c b)(c b))) REDUCED to normal form. ------ 23363/1259541. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^y.a)) REDUCED to normal form. ------ 23364/1259622. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.a))) 7. ==[ beta ]==> (a (^y.(^z.a))) 8. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 23365/1259700. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a (^z.a))) 3. ==[ beta ]==> ((^y.y)((a (^z.a))(a (^z.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))) REDUCED to normal form. ------ 23366/1259703. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.y))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.y))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.x))) REDUCED to normal form. ------ 23367/1259883. ------ 1. ==[ start ]==> (((a b) b)(^c.(^a.a))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 23368/1259928. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(z z))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 23369/1259937. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 23370/1259955. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 23371/1259967. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 23372/1259985. ------ 1. ==[ start ]==> (((^a.a) a)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((a a)(^y.(a a)))) 3. ==[ beta ]==> (a ((a a)(^y.(a a)))) 4. ==[ alpha ]==> (a ((a a)(^x.(a a)))) REDUCED to normal form. ------ 23373/1259994. ------ 1. ==[ start ]==> ((a (a a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.x)((^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. ------ 23374/1260012. ------ 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. ------ 23375/1260021. ------ 1. ==[ start ]==> ((a b)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(^y.y))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 23376/1260039. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((a b) b)) REDUCED to normal form. ------ 23377/1260066. ------ 1. ==[ start ]==> (((^a.a) b)(((a a) a) c)) 2. ==[ alpha ]==> (((^x.x) b)(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 23378/1260102. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 23379/1260192. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b (a b))) 3. ==[ beta ]==> ((^y.y)(b (a b))) 4. ==[ alpha ]==> ((^x.x)(b (a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 23380/1260219. ------ 1. ==[ start ]==> ((a (^b.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.a))(a (a a))) REDUCED to normal form. ------ 23381/1260255. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b) b)) 3. ==[ beta ]==> ((^y.y)((^z.b) b)) 4. ==[ alpha ]==> ((^x.x)((^y.b) b)) 5. ==[ beta ]==> ((^y.b) b) 6. ==[ alpha ]==> ((^x.b) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 23382/1260300. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 23383/1260327. ------ 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. ------ 23384/1260381. ------ 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. ------ 23385/1260408. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)(a b))) 3. ==[ beta ]==> ((^y.y)((a a)(a b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 23386/1260444. ------ 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. ------ 23387/1260507. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 23388/1260534. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((a (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 23389/1260552. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 23390/1260561. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 23391/1260633. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a b) a)) 2. ==[ alpha ]==> ((((^x.x) a) b)((a b) a)) 3. ==[ beta ]==> ((a b)((a b) a)) REDUCED to normal form. ------ 23392/1260660. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a) a) b)) REDUCED to normal form. ------ 23393/1260786. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((a a) a))) REDUCED to normal form. ------ 23394/1260804. ------ 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. ------ 23395/1260876. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((b b)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((b b)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 23396/1260921. ------ 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. ------ 23397/1260948. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.x1))((^y1.y1)(^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. ------ 23398/1261011. ------ 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. ------ 23399/1261038. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(^y1.y1)))) 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. ------ 23400/1261065. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 23401/1261092. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.(z z)))) REDUCED to normal form. ------ 23402/1261119. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 23403/1261173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 23404/1261209. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^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. ------ 23405/1261236. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 23406/1261263. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(y y)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 23407/1261290. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 23408/1261380. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 23409/1261434. ------ 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)(^y.a))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((^x.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)))) REDUCED to normal form. ------ 23410/1261497. ------ 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)((^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. ------ 23411/1261551. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.a))) REDUCED to normal form. ------ 23412/1261578. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 23413/1261605. ------ 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. ------ 23414/1261632. ------ 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)(^z1.z1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23415/1261659. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a)) b)) REDUCED to normal form. ------ 23416/1261695. ------ 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. ------ 23417/1261722. ------ 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.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 23418/1261749. ------ 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. ------ 23419/1261857. ------ 1. ==[ start ]==> ((a (a b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))(b (^x.(x x)))) REDUCED to normal form. ------ 23420/1261866. ------ 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. ------ 23421/1262010. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a)) a)) REDUCED to normal form. ------ 23422/1262037. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b) a)(((^x.x) a) b)) 3. ==[ beta ]==> (((a b) a)(a b)) REDUCED to normal form. ------ 23423/1262055. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(c (a (^y.y)))) 3. ==[ beta ]==> ((a b)(c (a (^y.y)))) 4. ==[ alpha ]==> ((a b)(c (a (^x.x)))) REDUCED to normal form. ------ 23424/1262064. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y)) c)) REDUCED to normal form. ------ 23425/1262082. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a 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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 23426/1262118. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 23427/1262136. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(a a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a (a a))) REDUCED to normal form. ------ 23428/1262145. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a) b)) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 23429/1262172. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 23430/1262226. ------ 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. ------ 23431/1262244. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c b)) 2. ==[ alpha ]==> ((a (^x.(a a)))(c b)) REDUCED to normal form. ------ 23432/1262262. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 23433/1262289. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 23434/1262316. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.z))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 23435/1262343. ------ 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. ------ 23436/1262370. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.a))) 7. ==[ beta ]==> (a ((^y.y)(^z.a))) 8. ==[ alpha ]==> (a ((^x.x)(^y.a))) 9. ==[ beta ]==> (a (^y.a)) 10. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 23437/1262415. ------ 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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 23438/1262424. ------ 1. ==[ start ]==> (((a b)(a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 23439/1262451. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (^y.a))) 3. ==[ beta ]==> ((a (a a))(a (^y.a))) 4. ==[ alpha ]==> ((a (a a))(a (^x.a))) REDUCED to normal form. ------ 23440/1262460. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c a)) 3. ==[ beta ]==> ((^y.(a a))(c a)) 4. ==[ alpha ]==> ((^x.(a a))(c a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23441/1262487. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 23442/1262541. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (a a))) 5. ==[ beta ]==> ((^y.y)(b (a a))) 6. ==[ alpha ]==> ((^x.x)(b (a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 23443/1262622. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 23444/1262631. ------ 1. ==[ start ]==> (((a b) b)((a a)(^a.a))) 2. ==[ alpha ]==> (((a b) b)((a a)(^x.x))) REDUCED to normal form. ------ 23445/1262658. ------ 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. ------ 23446/1262676. ------ 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. ------ 23447/1262685. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y) a)) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 23448/1262703. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23449/1262711. ------ 1. ==[ start ]==> (^a.((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (^x.((x (^y.y))(^z.b))) REDUCED to normal form. ------ 23450/1262712. ------ 1. ==[ start ]==> (a ((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (a ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 23451/1262967. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (^x.(^y.(^z.(a a)))) REDUCED to normal form. ------ 23452/1265199. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.c)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.c)) 3. ==[ beta ]==> ((^y.y)((^z.c)(^z.c))) 4. ==[ alpha ]==> ((^x.x)((^y.c)(^z.c))) 5. ==[ beta ]==> ((^y.c)(^z.c)) 6. ==[ alpha ]==> ((^x.c)(^y.c)) 7. ==[ beta ]==> c REDUCED to normal form. ------ 23453/1265454. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b)) b) 2. ==[ alpha ]==> (((^x.(^y.y))(a b)) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 23454/1265463. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b)) a) 2. ==[ alpha ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 23455/1265469. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(^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. ------ 23456/1265478. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 23457/1265496. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 23458/1265508. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^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. ------ 23459/1265523. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(a a)) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 23460/1265559. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23461/1265721. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (^y.((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (^x.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 23462/1265724. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 23463/1265964. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b)(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 23464/1266063. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.x1)))((((^y.y) a)(^z.(^x1.x1)))(((^y.y) a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((((^x1.x1) a)(^y1.(^z1.z1)))(((^x2.x2) a)(^y2.(^z2.z2))))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((((^x1.x1) a)(^y1.(^z1.z1)))(((^x2.x2) a)(^y2.(^z2.z2))))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((((^z.z) a)(^x1.(^y1.y1)))(((^z1.z1) a)(^x2.(^y2.y2))))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((a (^x1.(^y1.y1)))(((^z1.z1) a)(^x2.(^y2.y2))))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2))))) 9. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a (^z1.(^x2.x2))))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 23465/1266288. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23466/1266507. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.b))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.b))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 7. ==[ beta ]==> (^y.(^z.b)) 8. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 23467/1266975. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (b (^x.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 23468/1267179. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(^a.(^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. ------ 23469/1267623. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 23470/1267722. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 23471/1267746. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(a a))) 3. ==[ beta ]==> (^y.(((^z.a)(a a))((^z.a)(a a)))) 4. ==[ alpha ]==> (^x.(((^y.a)(a a))((^z.a)(a a)))) 5. ==[ beta ]==> (^x.(a ((^z.a)(a a)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(a a)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 23472/1267956. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.c)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.c)) 3. ==[ beta ]==> ((a (a a))(^y.c)) 4. ==[ alpha ]==> ((a (a a))(^x.c)) REDUCED to normal form. ------ 23473/1267965. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.y))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23474/1268127. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 23475/1268163. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.b)) 3. ==[ beta ]==> (((a a) a)(^y.b)) 4. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 23476/1268181. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 23477/1268190. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 23478/1268208. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(^a.a))) 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. ------ 23479/1268217. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 23480/1268229. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 23481/1268238. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 23482/1268256. ------ 1. ==[ start ]==> ((a (a a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 23483/1268265. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 23484/1268283. ------ 1. ==[ start ]==> ((a b)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a b)(((^x.x)(a a)) a)) 3. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 23485/1268292. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 23486/1268319. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 23487/1268373. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 23488/1268400. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))(^b.(^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. ------ 23489/1268427. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 23490/1268454. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23491/1268463. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (a b))) REDUCED to normal form. ------ 23492/1268481. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.a))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(a a))) REDUCED to normal form. ------ 23493/1268499. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 23494/1268517. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a b)(a a))) 3. ==[ beta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 23495/1268526. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b) b)) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 23496/1268598. ------ 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. ------ 23497/1268625. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 23498/1268652. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 23499/1268670. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(b (^x1.b))) 3. ==[ beta ]==> ((^y.y)(b (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 23500/1268679. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a b))) REDUCED to normal form. ------ 23501/1268724. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(a a))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 23502/1268742. ------ 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. ------ 23503/1268769. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.a)) REDUCED to normal form. ------ 23504/1268796. ------ 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. ------ 23505/1268823. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 23506/1268832. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.a)((^z.z)(^x1.x1)))((^y.a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.a)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (a ((^x1.a)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (a ((^x.a)((^y.y)(^z.z)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23507/1268859. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23508/1268913. ------ 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)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 23509/1268967. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23510/1269021. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 23511/1269048. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 23512/1269093. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b) a)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b) a)) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 23513/1269138. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b b)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((b b)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((b b)(a (^y.y))) 8. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 23514/1269147. ------ 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. ------ 23515/1269264. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.b))) 5. ==[ beta ]==> ((^y.y)(a (^y1.b))) 6. ==[ alpha ]==> ((^x.x)(a (^y.b))) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 23516/1269318. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23517/1269345. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(z z))((^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. ------ 23518/1269399. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 23519/1269471. ------ 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)(^y.y))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) b)) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 23520/1269696. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (^z.(z z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (^z.(z z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (^z.(z z)))) 5. ==[ beta ]==> (a (c (^z.(z z)))) 6. ==[ alpha ]==> (a (c (^x.(x x)))) REDUCED to normal form. ------ 23521/1269732. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 23522/1269777. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 23523/1269804. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (^z1.z1)))) 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. ------ 23524/1269858. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(a (a a)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (a a)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 23525/1269939. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(^a.(^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. ------ 23526/1270038. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 23527/1270065. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z)) b)) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z)) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) b)) 7. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 23528/1270092. ------ 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. ------ 23529/1270110. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (b ((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. ------ 23530/1270128. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.(z z)))) 3. ==[ beta ]==> ((^y.b)(b (^z.(z z)))) 4. ==[ alpha ]==> ((^x.b)(b (^y.(y y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 23531/1270209. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(a (^x1.x1)))) IRREDUCIBLE: cycle. ------ 23532/1270290. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.y))) 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. ------ 23533/1270317. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 23534/1270326. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (a (^y.y)))) REDUCED to normal form. ------ 23535/1270344. ------ 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)((^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. ------ 23536/1270380. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 23537/1270407. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 23538/1270434. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((a (^y.y))(a (^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 23539/1270461. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 23540/1270479. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(a (^y.(y y)))) 3. ==[ beta ]==> (b (a (^y.(y y)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 23541/1270506. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a a))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 23542/1270524. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 23543/1270551. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)(^y.a))) REDUCED to normal form. ------ 23544/1270578. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) 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. ------ 23545/1270605. ------ 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. ------ 23546/1270659. ------ 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. ------ 23547/1270677. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y))(a a))) 3. ==[ beta ]==> (b ((a (^y.y))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 23548/1270686. ------ 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))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 23549/1270722. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.a))) 3. ==[ beta ]==> ((^y.(a a))(a (^z.a))) 4. ==[ alpha ]==> ((^x.(a a))(a (^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23550/1270749. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23551/1270803. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23552/1270884. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 23553/1270893. ------ 1. ==[ start ]==> (((a b) b)(b a)) REDUCED to normal form. ------ 23554/1270920. ------ 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. ------ 23555/1270938. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 23556/1270947. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 23557/1270965. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (^a.a))) 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. ------ 23558/1270974. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 23559/1272363. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.((y y) y))) 3. ==[ beta ]==> (((^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))) 5. ==[ beta ]==> ((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z))) 6. ==[ alpha ]==> ((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1))) 7. ==[ beta ]==> (((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1))) 8. ==[ alpha ]==> (((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) 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))) UNREDUCED: maximal number of reductions reached. ------ 23560/1273725. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b)) c) 2. ==[ alpha ]==> (((^x.(^y.y))(a b)) c) 3. ==[ beta ]==> ((^y.y) c) 4. ==[ alpha ]==> ((^x.x) c) 5. ==[ beta ]==> c REDUCED to normal form. ------ 23561/1273734. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b)) b) 2. ==[ alpha ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 23562/1273758. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 23563/1273797. ------ 1. ==[ start ]==> (((a a) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 23564/1273839. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23565/1274022. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 23566/1274073. ------ 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. ------ 23567/1274229. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 23568/1274244. ------ 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. ------ 23569/1274418. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(a y))) 3. ==[ eta ]==> ((((^x.x) a) b) a) 4. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 23570/1274616. ------ 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))) REDUCED to normal form. ------ 23571/1274694. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (a 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. ------ 23572/1274796. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.b))) REDUCED to normal form. ------ 23573/1274958. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a) a))) 5. ==[ beta ]==> ((^y.y)(^z.((a a) a))) 6. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 7. ==[ beta ]==> (^y.((a a) a)) 8. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 23574/1275126. ------ 1. ==[ start ]==> ((^a.((a a) a))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))(a ((a a) a))) 3. ==[ beta ]==> (((a ((a a) a))(a ((a a) a)))(a ((a a) a))) REDUCED to normal form. ------ 23575/1275129. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.((a a) a))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.((x x) x))) REDUCED to normal form. ------ 23576/1275417. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23577/1275459. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a)) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 23578/1275561. ------ 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)))) 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. ------ 23579/1275639. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (^y.y))((^z.z) a)) b) 4. ==[ alpha ]==> (((a (^x.x))((^y.y) a)) b) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 23580/1275795. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(a (a a)))) REDUCED to normal form. ------ 23581/1275903. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 23582/1276011. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 23583/1276026. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (^y.((((^z.z) a)(^x1.x1))(((^z.z) a)(^x1.x1)))) 4. ==[ alpha ]==> (^x.((((^y.y) a)(^z.z))(((^x1.x1) a)(^y1.y1)))) 5. ==[ beta ]==> (^x.((a (^z.z))(((^x1.x1) a)(^y1.y1)))) 6. ==[ alpha ]==> (^x.((a (^y.y))(((^z.z) a)(^x1.x1)))) 7. ==[ beta ]==> (^x.((a (^y.y))(a (^x1.x1)))) 8. ==[ alpha ]==> (^x.((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 23584/1276182. ------ 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. ------ 23585/1276233. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a (^z.z)))((a a)(a (^z.z))))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a (^y.y)))((a a)(a (^z.z))))) 5. ==[ beta ]==> (((a a)(a (^y.y)))((a a)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 23586/1276245. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.c)) 3. ==[ beta ]==> ((^y.(a a))(^z.c)) 4. ==[ alpha ]==> ((^x.(a a))(^y.c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23587/1276407. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (b (^x1.x1)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 23588/1276416. ------ 1. ==[ start ]==> (((a b) b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 23589/1276443. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(a a))) 3. ==[ beta ]==> (((a a) a)(^y.(a a))) 4. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 23590/1276470. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 23591/1276488. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 23592/1276497. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 23593/1276527. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 23594/1276536. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (a ((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 23595/1276554. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((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. ------ 23596/1276563. ------ 1. ==[ start ]==> (((a a) a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.x)((^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. ------ 23597/1276581. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a a)(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a)) a)) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 23598/1276590. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 23599/1276608. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b) b)) REDUCED to normal form. ------ 23600/1276617. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 23601/1276671. ------ 1. ==[ start ]==> (((a a) b)((^b.(^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. ------ 23602/1276698. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 23603/1276725. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 23604/1276752. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 23605/1276788. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 23606/1276815. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(a a))) REDUCED to normal form. ------ 23607/1276842. ------ 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. ------ 23608/1276851. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a) c)) 3. ==[ beta ]==> ((^y.a)((^z.a) c)) 4. ==[ alpha ]==> ((^x.a)((^y.a) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 23609/1276941. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (^y.a))) REDUCED to normal form. ------ 23610/1276968. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.b))) REDUCED to normal form. ------ 23611/1276995. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 23612/1277013. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.y))) REDUCED to normal form. ------ 23613/1277103. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((a a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 23614/1277121. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.x1)))(((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 23615/1277148. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 23616/1277184. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 23617/1277202. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((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. ------ 23618/1277211. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.y))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 23619/1277229. ------ 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. ------ 23620/1277265. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 23621/1277292. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 23622/1277319. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 23623/1277355. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b ((a a) a))) REDUCED to normal form. ------ 23624/1277382. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a (a b))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (a b))) REDUCED to normal form. ------ 23625/1277409. ------ 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. ------ 23626/1277436. ------ 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. ------ 23627/1277463. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))((a (a a)) a)) REDUCED to normal form. ------ 23628/1277562. ------ 1. ==[ start ]==> (((a (a a)) b)(a (^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)(a (^x.b))) REDUCED to normal form. ------ 23629/1277607. ------ 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))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23630/1277616. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 23631/1277634. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 23632/1277643. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a ((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 23633/1277670. ------ 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)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 23634/1277688. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 23635/1277697. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^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. ------ 23636/1277724. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.z)((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 23637/1277868. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(b ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a a)(b ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)(b (^y.y))) 8. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 23638/1277895. ------ 1. ==[ start ]==> ((a ((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 23639/1277931. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23640/1278021. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (b (^y.(^z.z)))) 6. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 23641/1278066. ------ 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)((^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. ------ 23642/1278093. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (a a))(^y1.(^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. ------ 23643/1278102. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (^y1.y1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 23644/1278129. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 23645/1278147. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z))(^x1.(x1 x1)))) 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)))) 7. ==[ beta ]==> ((a a)((a (^y.y))(^z.(z z)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 23646/1278156. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 23647/1278183. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23648/1278210. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))(^a.a))) 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. ------ 23649/1278228. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a)) b)) 2. ==[ alpha ]==> ((a (^x.b))((a (a a)) b)) REDUCED to normal form. ------ 23650/1278300. ------ 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. ------ 23651/1278327. ------ 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. ------ 23652/1278354. ------ 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. ------ 23653/1278381. ------ 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. ------ 23654/1278399. ------ 1. ==[ start ]==> (((^a.b) a)(c (^b.a))) 2. ==[ alpha ]==> (((^x.b) a)(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 23655/1278408. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> ((a (a b))((a (^x.x)) a)) REDUCED to normal form. ------ 23656/1278498. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 23657/1278561. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(a (a a)))) 3. ==[ beta ]==> ((((a a) a) b)(a (a a))) REDUCED to normal form. ------ 23658/1278579. ------ 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 a)) a)) REDUCED to normal form. ------ 23659/1278588. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b) a)((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a b) a)((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 23660/1278606. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 23661/1278615. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 23662/1278669. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 23663/1278687. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y)) a)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x)) a)) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 23664/1278723. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(c (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(c (^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 23665/1278750. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 23666/1278777. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 23667/1278795. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 23668/1278813. ------ 1. ==[ start ]==> (((a a)(a b))(c b)) REDUCED to normal form. ------ 23669/1278840. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b c)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b c)) REDUCED to normal form. ------ 23670/1278921. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (a (^z.z)))) 5. ==[ beta ]==> (((^y.y) a)(b (a (^z.z)))) 6. ==[ alpha ]==> (((^x.x) a)(b (a (^y.y)))) 7. ==[ beta ]==> (a (b (a (^y.y)))) 8. ==[ alpha ]==> (a (b (a (^x.x)))) REDUCED to normal form. ------ 23671/1278948. ------ 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. ------ 23672/1278966. ------ 1. ==[ start ]==> (((^a.b) b)(c (^a.a))) 2. ==[ alpha ]==> (((^x.b) b)(c (^y.y))) 3. ==[ beta ]==> (b (c (^y.y))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 23673/1278975. ------ 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. ------ 23674/1279002. ------ 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. ------ 23675/1279011. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z) c)) 3. ==[ beta ]==> ((^y.(a a))((^z.z) c)) 4. ==[ alpha ]==> ((^x.(a a))((^y.y) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23676/1279038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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)) REDUCED to normal form. ------ 23677/1279092. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1)) a)) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1)) a)) 6. ==[ alpha ]==> ((^x.x)((a (^y.y)) a)) 7. ==[ beta ]==> ((a (^y.y)) a) 8. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 23678/1279173. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (b ((^x1.x1) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 23679/1279182. ------ 1. ==[ start ]==> (((a b) b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 23680/1279209. ------ 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. ------ 23681/1279227. ------ 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. ------ 23682/1279236. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 23683/1279254. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a) 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. ------ 23684/1279263. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.z))) REDUCED to normal form. ------ 23685/1279280. ------ 1. ==[ start ]==> (^a.((^b.a)((a a) a))) 2. ==[ alpha ]==> (^x.((^y.x)((x x) x))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 23686/1279281. ------ 1. ==[ start ]==> (a ((^b.a)((a a) a))) 2. ==[ alpha ]==> (a ((^x.a)((a a) a))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23687/1279338. ------ 1. ==[ start ]==> ((^a.b)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 23688/1280661. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.a))) 3. ==[ beta ]==> (((^y.(^z.a))(^y.(^z.a)))(^y.(^z.a))) 4. ==[ alpha ]==> (((^x.(^y.a))(^z.(^x1.a)))(^y1.(^z1.a))) 5. ==[ beta ]==> ((^y.a)(^y1.(^z1.a))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 23689/1282032. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b)) c) 2. ==[ alpha ]==> (((a (^x.x))(^y.b)) c) REDUCED to normal form. ------ 23690/1282056. ------ 1. ==[ start ]==> ((^a.a)((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 3. ==[ beta ]==> ((^y.a)((a a) a)) 4. ==[ alpha ]==> ((^x.a)((a a) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 23691/1282083. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(a b))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 7. ==[ beta ]==> ((^y.(^z.z))(a b)) 8. ==[ alpha ]==> ((^x.(^y.y))(a b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23692/1282110. ------ 1. ==[ start ]==> ((^a.b)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 23693/1282113. ------ 1. ==[ start ]==> ((a b)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 23694/1282308. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (a b))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (a b))) 3. ==[ beta ]==> (^y.(b (a b))) 4. ==[ alpha ]==> (^x.(b (a b))) REDUCED to normal form. ------ 23695/1282329. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 23696/1282650. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(a (a a)))(((^y.(y y))(a (a a)))((^y.(y y))(a (a a))))) 4. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.(y y))(a (a a)))((^z.(z z))(a (a a))))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.(y y))(a (a a)))((^z.(z z))(a (a a))))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.(x x))(a (a a)))((^y.(y y))(a (a a))))) 7. ==[ beta ]==> (((a (a a))(a (a a)))(((a (a a))(a (a a)))((^y.(y y))(a (a a))))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))(((a (a a))(a (a a)))((^x.(x x))(a (a a))))) 9. ==[ beta ]==> (((a (a a))(a (a a)))(((a (a a))(a (a a)))((a (a a))(a (a a))))) REDUCED to normal form. ------ 23697/1282725. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.b))) 3. ==[ beta ]==> ((a b)(^y.(^z.b))) 4. ==[ alpha ]==> ((a b)(^x.(^y.b))) REDUCED to normal form. ------ 23698/1282875. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23699/1282923. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.y))) REDUCED to normal form. ------ 23700/1283436. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(^c.a))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.a))) REDUCED to normal form. ------ 23701/1283868. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 23702/1283946. ------ 1. ==[ start ]==> ((^a.(a b))(c (^b.a))) 2. ==[ alpha ]==> ((^x.(x b))(c (^y.a))) 3. ==[ beta ]==> ((c (^y.a)) b) 4. ==[ alpha ]==> ((c (^x.a)) b) REDUCED to normal form. ------ 23703/1284102. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 23704/1284210. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.d)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.d)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.d)) REDUCED to normal form. ------ 23705/1284228. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(y (y y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(y (y y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(x (x x)))) REDUCED to normal form. ------ 23706/1284309. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((^z.z) a))) 3. ==[ beta ]==> (b (^y.((^z.z) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 23707/1284408. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 23708/1284489. ------ 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. ------ 23709/1284540. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b (^z.(^x1.x1)))(b (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((b (^y.(^z.z)))(b (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((b (^y.(^z.z)))(b (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 23710/1284552. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(a (^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23711/1284633. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.c)) 5. ==[ beta ]==> ((^y.y)(^y1.c)) 6. ==[ alpha ]==> ((^x.x)(^y.c)) 7. ==[ beta ]==> (^y.c) 8. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 23712/1284714. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (b (^x1.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 23713/1284723. ------ 1. ==[ start ]==> (((a b) b)(^b.b)) 2. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 23714/1284768. ------ 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. ------ 23715/1284777. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 23716/1284795. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 23717/1284804. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.a)) REDUCED to normal form. ------ 23718/1284834. ------ 1. ==[ start ]==> ((a a)((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a a)((^x.a)((a a) a))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 23719/1284852. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.b))) 3. ==[ beta ]==> (a ((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (a ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 23720/1284861. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 23721/1284879. ------ 1. ==[ start ]==> (((a a) a)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 23722/1284888. ------ 1. ==[ start ]==> ((a b)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)((^y.y)(a a))) 4. ==[ alpha ]==> ((a b)((^x.x)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 23723/1284906. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 23724/1284933. ------ 1. ==[ start ]==> (((^a.a) b)((a b) b)) 2. ==[ alpha ]==> (((^x.x) b)((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 23725/1284942. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 23726/1285086. ------ 1. ==[ start ]==> ((a (^b.a))(b (a b))) 2. ==[ alpha ]==> ((a (^x.a))(b (a b))) REDUCED to normal form. ------ 23727/1285104. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 23728/1285122. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23729/1285167. ------ 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. ------ 23730/1285194. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^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. ------ 23731/1285248. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((^x1.x1)(^y1.y1)))) 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. ------ 23732/1285275. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1))((a a) 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. ------ 23733/1285347. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)(a a))) 3. ==[ beta ]==> (((a a) a)((^y.b)(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(a a))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 23734/1285401. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 23735/1285419. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 23736/1285428. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> ((a (a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 23737/1285500. ------ 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. ------ 23738/1285527. ------ 1. ==[ start ]==> (((a (a a)) a)((a b) a)) REDUCED to normal form. ------ 23739/1285554. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a) b)) REDUCED to normal form. ------ 23740/1285581. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1) c)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z) c)) 5. ==[ beta ]==> (((a (^x.x))(^y.a)) c) REDUCED to normal form. ------ 23741/1285653. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(c (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 23742/1285698. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.b))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.b)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.b)) REDUCED to normal form. ------ 23743/1285743. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a) b)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 23744/1285788. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 23745/1285815. ------ 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. ------ 23746/1285869. ------ 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. ------ 23747/1285905. ------ 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 ]==> (((^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. ------ 23748/1285932. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^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. ------ 23749/1285959. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 23750/1285986. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.a))(a (^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 23751/1286013. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 23752/1286103. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))(^x1.(^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. ------ 23753/1286130. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.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. ------ 23754/1286157. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 23755/1286184. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))(^y1.(^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. ------ 23756/1286247. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(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. ------ 23757/1286301. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (a (((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> (a (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (a (a ((^y.y) a))) 8. ==[ alpha ]==> (a (a ((^x.x) a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 23758/1286418. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 23759/1286445. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (^z.a))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 23760/1286472. ------ 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)))) REDUCED to normal form. ------ 23761/1286499. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23762/1286526. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y) a)) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 23763/1286562. ------ 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. ------ 23764/1286589. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 23765/1286616. ------ 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. ------ 23766/1286643. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y)(^z.(^x1.x1)))) 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. ------ 23767/1286715. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a) c)) 2. ==[ alpha ]==> (((^x.b) a)((^y.a) c)) 3. ==[ beta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 23768/1286724. ------ 1. ==[ start ]==> ((a (a b))(c (^b.a))) 2. ==[ alpha ]==> ((a (a b))(c (^x.a))) REDUCED to normal form. ------ 23769/1286733. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 23770/1286877. ------ 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. ------ 23771/1286904. ------ 1. ==[ start ]==> (((a b) a)((a (a a)) a)) REDUCED to normal form. ------ 23772/1286931. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a)(^x.b))(a b)) REDUCED to normal form. ------ 23773/1287003. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(a (a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 23774/1287012. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 23775/1287039. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a) b)) 5. ==[ beta ]==> ((^y.a)((^z.a) b)) 6. ==[ alpha ]==> ((^x.a)((^y.a) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 23776/1287084. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)((^y.y) a))) 3. ==[ beta ]==> (b ((a a)((^y.y) a))) 4. ==[ alpha ]==> (b ((a a)((^x.x) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 23777/1287129. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(a a))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 23778/1287156. ------ 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))(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. ------ 23779/1287183. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 9. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 23780/1287210. ------ 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. ------ 23781/1287237. ------ 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)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 23782/1287264. ------ 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. ------ 23783/1287282. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a) a)) 2. ==[ alpha ]==> (((^x.b) b)((^y.a) a)) 3. ==[ beta ]==> (b ((^y.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 23784/1287291. ------ 1. ==[ start ]==> (((a b)(a a))(c (^a.a))) 2. ==[ alpha ]==> (((a b)(a a))(c (^x.x))) REDUCED to normal form. ------ 23785/1287318. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 23786/1287327. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.(a a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.(a a))((a a)(a (^y.y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23787/1287354. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c a)) 3. ==[ beta ]==> ((^y.y)(c a)) 4. ==[ alpha ]==> ((^x.x)(c a)) 5. ==[ beta ]==> (c a) REDUCED to normal form. ------ 23788/1287408. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a c)) 5. ==[ beta ]==> ((^y.y)(a c)) 6. ==[ alpha ]==> ((^x.x)(a c)) 7. ==[ beta ]==> (a c) REDUCED to normal form. ------ 23789/1287489. ------ 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 ((a a)(a a))) REDUCED to normal form. ------ 23790/1287498. ------ 1. ==[ start ]==> (((a b) b)((^a.a) b)) 2. ==[ alpha ]==> (((a b) b)((^x.x) b)) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 23791/1287525. ------ 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. ------ 23792/1287543. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(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. ------ 23793/1287552. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 23794/1287570. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 23795/1287579. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 23796/1287663. ------ 1. ==[ start ]==> ((^a.b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 23797/1288104. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 23798/1289886. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(x1 x1)))(^z.(^x1.(x1 x1))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(z z)))(^x1.(^y1.(y1 y1))))) 5. ==[ beta ]==> (^x.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 23799/1290399. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 23800/1290417. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a (^y.y))(^z.b))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 23801/1290444. ------ 1. ==[ start ]==> ((^a.b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)((a a)(^y.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 23802/1290447. ------ 1. ==[ start ]==> ((a b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 23803/1290456. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 23804/1290480. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(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. ------ 23805/1290642. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23806/1290681. ------ 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)(^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. ------ 23807/1290714. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b) b)) 3. ==[ eta ]==> ((^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. ------ 23808/1290885. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (^z.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 23809/1290888. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 23810/1290984. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(^y.(y y)))(((a (a a))(^y.(y y)))((a (a a))(^y.(y y))))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a (a a))(^y.(y y)))((a (a a))(^z.(z z))))) REDUCED to normal form. ------ 23811/1291077. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(a z))) 3. ==[ eta ]==> (((^x.(x x))(^y.y)) a) 4. ==[ beta ]==> (((^y.y)(^y.y)) a) 5. ==[ alpha ]==> (((^x.x)(^y.y)) a) 6. ==[ beta ]==> ((^y.y) a) 7. ==[ alpha ]==> ((^x.x) a) 8. ==[ beta ]==> a REDUCED to normal form. ------ 23812/1291209. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23813/1291335. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1)) 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. ------ 23814/1291437. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.((a a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((a a) a))) REDUCED to normal form. ------ 23815/1292100. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 23816/1292280. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(x b))((^y.a) c)) 3. ==[ beta ]==> (((^y.a) c) b) 4. ==[ alpha ]==> (((^x.a) c) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 23817/1292454. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 23818/1292562. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 23819/1292571. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(y (y y)))) REDUCED to normal form. ------ 23820/1292652. ------ 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. ------ 23821/1292667. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a (^z.(z z)))) 3. ==[ beta ]==> (^y.((a (^z.(z z)))(a (^z.(z z))))) 4. ==[ alpha ]==> (^x.((a (^y.(y y)))(a (^z.(z z))))) REDUCED to normal form. ------ 23822/1292670. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 23823/1292841. ------ 1. ==[ start ]==> (((^a.b) b)(^a.((^a.a) a))) 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. ------ 23824/1292874. ------ 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)((^z.(^x1.x1)) b)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 9. ==[ beta ]==> ((^y.(^z.z)) b) 10. ==[ alpha ]==> ((^x.(^y.y)) b) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23825/1292913. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 23826/1292967. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(^y1.(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 7. ==[ beta ]==> (^y.(a (^z.z))) 8. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 23827/1293057. ------ 1. ==[ start ]==> (((a b) b)(^c.(a a))) 2. ==[ alpha ]==> (((a b) b)(^x.(a a))) REDUCED to normal form. ------ 23828/1293102. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(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. ------ 23829/1293111. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.b)) REDUCED to normal form. ------ 23830/1293129. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(^a.a))) 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. ------ 23831/1293138. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(z z))) REDUCED to normal form. ------ 23832/1293186. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 23833/1293204. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 23834/1293213. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 23835/1293231. ------ 1. ==[ start ]==> ((a b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 23836/1293240. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^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)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 23837/1293267. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(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. ------ 23838/1293285. ------ 1. ==[ start ]==> (((a a)(a a))((a b) b)) REDUCED to normal form. ------ 23839/1293348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(^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. ------ 23840/1293375. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 23841/1293402. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 23842/1293429. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 23843/1293465. ------ 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)(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. ------ 23844/1293474. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 23845/1293501. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b) b)) 3. ==[ beta ]==> ((a a)((^y.b) b)) 4. ==[ alpha ]==> ((a a)((^x.b) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 23846/1293546. ------ 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 (^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. ------ 23847/1293573. ------ 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. ------ 23848/1293600. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 23849/1293627. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))((a a) a))) REDUCED to normal form. ------ 23850/1293654. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(a b))) 3. ==[ beta ]==> ((a (^y.y))((a a)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a b))) REDUCED to normal form. ------ 23851/1293672. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(a a)))) REDUCED to normal form. ------ 23852/1293690. ------ 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. ------ 23853/1293717. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 23854/1293744. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.a))) 7. ==[ beta ]==> ((a (a a))(^y.a)) 8. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 23855/1293771. ------ 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. ------ 23856/1293780. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (((^y.(y y))(a (a a)))((^y.(y y))(a (a a)))) 6. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))(a (a a)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(a (a a)))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(a (a a)))) 9. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 23857/1293807. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 23858/1293861. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(a b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(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. ------ 23859/1293888. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.y))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 23860/1293969. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 23861/1293996. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 23862/1294068. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.b) a)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.b) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.b) a)) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 23863/1294086. ------ 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. ------ 23864/1294122. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 23865/1294212. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.a))) 5. ==[ beta ]==> ((^y.y)(b (^y1.a))) 6. ==[ alpha ]==> ((^x.x)(b (^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 23866/1294221. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)((a a) a))) REDUCED to normal form. ------ 23867/1294293. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a (^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. ------ 23868/1294347. ------ 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)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 23869/1294419. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a) a)) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a) a)) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 23870/1294446. ------ 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. ------ 23871/1294680. ------ 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. ------ 23872/1294707. ------ 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. ------ 23873/1294752. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23874/1294806. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 23875/1294815. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c d)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c d)) REDUCED to normal form. ------ 23876/1294887. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 23877/1294905. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (a a)) b)) REDUCED to normal form. ------ 23878/1295013. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) a)) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 23879/1295040. ------ 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. ------ 23880/1295058. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (b (((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (b (a (a (^y.y)))) 6. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 23881/1295067. ------ 1. ==[ start ]==> ((a (a b))((^b.a) c)) 2. ==[ alpha ]==> ((a (a b))((^x.a) c)) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 23882/1295076. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.a))) 3. ==[ beta ]==> ((^y.b)(c (^z.a))) 4. ==[ alpha ]==> ((^x.b)(c (^y.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 23883/1295157. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(a a))) IRREDUCIBLE: cycle. ------ 23884/1295238. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)(a (a a)))) 3. ==[ beta ]==> (b ((^z.z)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 23885/1295265. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a b)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 23886/1295292. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 23887/1295328. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 23888/1295346. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)(^z.(z 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. ------ 23889/1295355. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (a (a a)))) REDUCED to normal form. ------ 23890/1295382. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(a a))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)(a a))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 23891/1295409. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 23892/1295427. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 23893/1295436. ------ 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. ------ 23894/1295454. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(y y)))) REDUCED to normal form. ------ 23895/1295472. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) 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. ------ 23896/1295499. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 23897/1295526. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(^z.a))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 23898/1295553. ------ 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. ------ 23899/1295580. ------ 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. ------ 23900/1295625. ------ 1. ==[ start ]==> (((^a.b) b)(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 23901/1295634. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a) a)) 2. ==[ alpha ]==> (((a b)(a a))((^x.a) a)) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 23902/1295661. ------ 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))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 23903/1295670. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(b (^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23904/1295697. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 23905/1295751. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(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. ------ 23906/1295832. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (b (b (^x1.x1))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 23907/1295841. ------ 1. ==[ start ]==> (((a b) b)((a a)(a a))) REDUCED to normal form. ------ 23908/1295868. ------ 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. ------ 23909/1295886. ------ 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))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 23910/1295895. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a b)) REDUCED to normal form. ------ 23911/1295913. ------ 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)((^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. ------ 23912/1295922. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (a a))) REDUCED to normal form. ------ 23913/1298826. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 23914/1298841. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 23915/1299042. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 23916/1299051. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^y.(y y))) REDUCED to normal form. ------ 23917/1299075. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b)(a a))) 3. ==[ eta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 23918/1299447. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(a b))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(a x))) 3. ==[ eta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 23919/1299645. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(z b))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(z b))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y b))) REDUCED to normal form. ------ 23920/1299696. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (^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. ------ 23921/1299825. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.b))) 5. ==[ beta ]==> (a (^y.(^z.b))) 6. ==[ alpha ]==> (a (^x.(^y.b))) REDUCED to normal form. ------ 23922/1300128. ------ 1. ==[ start ]==> ((^a.((a a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((b ((^x.x)(^y.y)))(b ((^z.z)(^x1.x1))))(b ((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((b (^y.y))(b ((^z.z)(^x1.x1))))(b ((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((b (^x.x))(b ((^y.y)(^z.z))))(b ((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((b (^x.x))(b (^z.z)))(b ((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((b (^x.x))(b (^y.y)))(b ((^z.z)(^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. ------ 23923/1300446. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 23924/1300461. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 23925/1300590. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 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))(^y.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 23926/1300641. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)(a (^z.z))) b) 4. ==[ alpha ]==> ((((^x.x) a)(a (^y.y))) b) 5. ==[ beta ]==> ((a (a (^y.y))) b) 6. ==[ alpha ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 23927/1300815. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 23928/1300824. ------ 1. ==[ start ]==> (((a b) a)(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(a (a a)))) REDUCED to normal form. ------ 23929/1300932. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 23930/1301202. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 23931/1301211. ------ 1. ==[ start ]==> (((a b)(a a))(^a.((^a.a) a))) 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. ------ 23932/1301235. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))(a a))((a (^z.z))(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))(a a))((a (^z.z))(a a)))) 5. ==[ beta ]==> (((a (^y.y))(a a))((a (^z.z))(a a))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(a a))) REDUCED to normal form. ------ 23933/1301274. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.c)) 3. ==[ beta ]==> ((^y.y)(^x1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 23934/1301328. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 23935/1301445. ------ 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. ------ 23936/1301472. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 23937/1301490. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 23938/1301499. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 23939/1301565. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)((a a) a))) 3. ==[ beta ]==> (a ((^y.a)((a a) a))) 4. ==[ alpha ]==> (a ((^x.a)((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 23940/1301583. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((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. ------ 23941/1301592. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 23942/1301610. ------ 1. ==[ start ]==> (((^a.a)(a a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.(a a)))) 3. ==[ beta ]==> ((a a)((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 23943/1301619. ------ 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))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 23944/1301637. ------ 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. ------ 23945/1301646. ------ 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))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 23946/1301673. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 23947/1301700. ------ 1. ==[ start ]==> (((a a) b)((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 23948/1301727. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 23949/1301754. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 23950/1301781. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 23951/1301817. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (a b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (a b))) REDUCED to normal form. ------ 23952/1301835. ------ 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)((^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. ------ 23953/1301844. ------ 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. ------ 23954/1301871. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a b)(a a))) 3. ==[ beta ]==> ((a a)((a b)(a a))) REDUCED to normal form. ------ 23955/1301880. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b) b)) 3. ==[ beta ]==> ((^y.a)((^z.b) b)) 4. ==[ alpha ]==> ((^x.a)((^y.b) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 23956/1302024. ------ 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))) REDUCED to normal form. ------ 23957/1302132. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 23958/1302150. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.(y y)))) 5. ==[ beta ]==> (((a (a a))(^y.(y y)))((a (a a))(^y.(y y)))) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 23959/1302177. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 23960/1302213. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^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. ------ 23961/1302231. ------ 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)(^y.y))((a a)(^z.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. ------ 23962/1302240. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)(a b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)(a b))) 3. ==[ beta ]==> (((a (a a)) a)(a b)) REDUCED to normal form. ------ 23963/1302258. ------ 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. ------ 23964/1302267. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 23965/1302285. ------ 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) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 23966/1302294. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)(^a.(^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. ------ 23967/1302321. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 23968/1302348. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 23969/1302411. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b ((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(b ((a a) a))) REDUCED to normal form. ------ 23970/1302438. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a (a b))) 3. ==[ beta ]==> ((a (a (^y.y)))(a (a b))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (a b))) REDUCED to normal form. ------ 23971/1302465. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 23972/1302492. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^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. ------ 23973/1302501. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23974/1302591. ------ 1. ==[ start ]==> (((a (a a)) b)(b (^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)(b (^x.a))) REDUCED to normal form. ------ 23975/1302618. ------ 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. ------ 23976/1302636. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.z))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 23977/1302645. ------ 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) REDUCED to normal form. ------ 23978/1302663. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(^x1.x1))(^y1.(^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. ------ 23979/1302672. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(a (^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. ------ 23980/1302699. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.a))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.a))(a ((^z.z) a))) 8. ==[ alpha ]==> ((a (^x.a))(a ((^y.y) a))) 9. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 23981/1302717. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 23982/1302726. ------ 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. ------ 23983/1302753. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 23984/1302924. ------ 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. ------ 23985/1302960. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) a)) 3. ==[ beta ]==> ((^y.y)((^y1.a) a)) 4. ==[ alpha ]==> ((^x.x)((^y.a) a)) 5. ==[ beta ]==> ((^y.a) a) 6. ==[ alpha ]==> ((^x.a) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 23986/1303014. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z)) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z)) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z)) c)) 5. ==[ beta ]==> (a ((^z.(z z)) c)) 6. ==[ alpha ]==> (a ((^x.(x x)) c)) 7. ==[ beta ]==> (a (c c)) REDUCED to normal form. ------ 23987/1303050. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c (^z.(z z)))) 3. ==[ beta ]==> (((^y.y) b)(c (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) b)(c (^y.(y y)))) 5. ==[ beta ]==> (b (c (^y.(y y)))) 6. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 23988/1303077. ------ 1. ==[ start ]==> ((((a a) a) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 23989/1303122. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.x2))) 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. ------ 23990/1303131. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 23991/1303158. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 23992/1303176. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 23993/1303185. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 23994/1303212. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^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. ------ 23995/1303239. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^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. ------ 23996/1303257. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.b))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.b))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 23997/1303356. ------ 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. ------ 23998/1303383. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a ((^x1.x1)(^y1.y1)))) 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 (^x.x))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 23999/1303410. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (a a))(a a))) REDUCED to normal form. ------ 24000/1303437. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> ((a (a b))(a (a (^y.y)))) 4. ==[ alpha ]==> ((a (a b))(a (a (^x.x)))) REDUCED to normal form. ------ 24001/1303446. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a) c)) 3. ==[ beta ]==> ((^y.b)((^z.a) c)) 4. ==[ alpha ]==> ((^x.b)((^y.a) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 24002/1303527. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(^z.z))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(^z.z))) IRREDUCIBLE: cycle. ------ 24003/1303590. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^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. ------ 24004/1303608. ------ 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 ((a a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 24005/1303617. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a b) a)(a (a a))) REDUCED to normal form. ------ 24006/1303635. ------ 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. ------ 24007/1303644. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)(^z.z))) 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. ------ 24008/1303662. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) a) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z) a) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 5. ==[ beta ]==> (((^y.y) a) b) 6. ==[ alpha ]==> (((^x.x) a) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 24009/1303698. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 24010/1303725. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.(z z))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 24011/1303797. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 24012/1303806. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 24013/1303896. ------ 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 (^y.y))(b c)) 6. ==[ alpha ]==> ((a (^x.x))(b c)) REDUCED to normal form. ------ 24014/1303977. ------ 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. ------ 24015/1303995. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 24016/1304004. ------ 1. ==[ start ]==> (((a b)(a a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))(a ((^x.x) a))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 24017/1304031. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(a a))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(a a))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 24018/1304040. ------ 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. ------ 24019/1304067. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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. ------ 24020/1304121. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 24021/1304202. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 24022/1304211. ------ 1. ==[ start ]==> (((a b) b)(b (^a.a))) 2. ==[ alpha ]==> (((a b) b)(b (^x.x))) REDUCED to normal form. ------ 24023/1304238. ------ 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. ------ 24024/1304256. ------ 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 ]==> (((^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. ------ 24025/1304265. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 24026/1304283. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 24027/1304292. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 24028/1304336. ------ 1. ==[ start ]==> (^a.((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^x.(((^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. ------ 24029/1304337. ------ 1. ==[ start ]==> (a ((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (a (((^y.y)(^z.z))((^y.y)(^z.z)))) 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 ((^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. ------ 24030/1306617. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (^y.((^z.((^x1.x1) a))(^z.((^x1.x1) a)))) 4. ==[ alpha ]==> (^x.((^y.((^z.z) a))(^x1.((^y1.y1) a)))) 5. ==[ beta ]==> (^x.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 24031/1307133. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a))) a) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z))) a) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z))) 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. ------ 24032/1307139. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24033/1307166. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)((a a) a))) 3. ==[ beta ]==> (((^y.a)((a a) a))((^y.a)((a a) a))) 4. ==[ alpha ]==> (((^x.a)((a a) a))((^y.a)((a a) a))) 5. ==[ beta ]==> (a ((^y.a)((a a) a))) 6. ==[ alpha ]==> (a ((^x.a)((a a) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24034/1307193. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 24035/1307274. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^z.b)(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (b (^x1.x1)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 24036/1307391. ------ 1. ==[ start ]==> ((^a.(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(c ((a a) a))) 3. ==[ beta ]==> (^y.(c ((a a) a))) 4. ==[ alpha ]==> (^x.(c ((a a) a))) REDUCED to normal form. ------ 24037/1307439. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 24038/1307634. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)(a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 24039/1307655. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 24040/1307733. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))(((^y.(^z.z))((^x1.x1) a))((^y.(^z.z))((^x1.x1) a)))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.(^y1.y1))((^z1.z1) a))((^x2.(^y2.y2))((^z2.z2) a)))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))((^z1.z1) a))((^x2.(^y2.y2))((^z2.z2) a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a)))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24041/1308033. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 24042/1308384. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 24043/1308516. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1))))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2))))((^z2.(^x3.x3))(^y3.(^z3.z3)))) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2))))((^z2.(^x3.x3))(^y3.(^z3.z3)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24044/1308555. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1) y1))) 3. ==[ beta ]==> ((^y.y)(^y1.((y1 y1) y1))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 24045/1308978. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 24046/1309212. ------ 1. ==[ start ]==> (((a b) a)(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 24047/1309416. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)((^z.z) a))) 3. ==[ beta ]==> (^y.(((a a)((^z.z) a))((a a)((^z.z) a)))) 4. ==[ alpha ]==> (^x.(((a a)((^y.y) a))((a a)((^z.z) a)))) 5. ==[ beta ]==> (^x.(((a a) a)((a a)((^z.z) a)))) 6. ==[ alpha ]==> (^x.(((a a) a)((a a)((^y.y) a)))) 7. ==[ beta ]==> (^x.(((a a) a)((a a) a))) REDUCED to normal form. ------ 24048/1309419. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^y.a)) REDUCED to normal form. ------ 24049/1309437. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 24050/1309518. ------ 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. ------ 24051/1309590. ------ 1. ==[ start ]==> (((^a.b) b)(^c.c)) 2. ==[ alpha ]==> (((^x.b) b)(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 24052/1309599. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 24053/1309662. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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))) REDUCED to normal form. ------ 24054/1309797. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (b (^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 24055/1309833. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.y)) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 24056/1309860. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 24057/1309878. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 24058/1309887. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.a)) REDUCED to normal form. ------ 24059/1309932. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^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. ------ 24060/1309944. ------ 1. ==[ start ]==> ((a a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^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)((^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. ------ 24061/1309971. ------ 1. ==[ start ]==> ((a (a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a (a a))((^x.a)((a a) a))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 24062/1309989. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 24063/1309998. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 24064/1310016. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 24065/1310043. ------ 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)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 24066/1310052. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 24067/1310070. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 24068/1310079. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 24069/1310097. ------ 1. ==[ start ]==> (((a a) b)(((a a) a) c)) REDUCED to normal form. ------ 24070/1310196. ------ 1. ==[ start ]==> ((a (^b.a))(c ((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))(c ((a a) a))) REDUCED to normal form. ------ 24071/1310214. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 24072/1310241. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(a a))) REDUCED to normal form. ------ 24073/1310277. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(a a))) 3. ==[ beta ]==> ((^y.a)((a b)(a a))) 4. ==[ alpha ]==> ((^x.a)((a b)(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 24074/1310304. ------ 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. ------ 24075/1310313. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a) c)) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 24076/1310358. ------ 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. ------ 24077/1310385. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 7. ==[ beta ]==> (a ((^y.y)(^z.z))) 8. ==[ alpha ]==> (a ((^x.x)(^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 24078/1310439. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)(a b))) REDUCED to normal form. ------ 24079/1310457. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a (^y.(a a)))) 3. ==[ beta ]==> (((a a) a)(a (^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)(a (^x.(a a)))) REDUCED to normal form. ------ 24080/1310484. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 24081/1310529. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 24082/1310538. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 24083/1310610. ------ 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))) REDUCED to normal form. ------ 24084/1310637. ------ 1. ==[ start ]==> (((a (a a)) a)((a a)(^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.b))) REDUCED to normal form. ------ 24085/1310664. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b) a)) REDUCED to normal form. ------ 24086/1310691. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a) b)) REDUCED to normal form. ------ 24087/1310781. ------ 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. ------ 24088/1310835. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.b)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.b)) REDUCED to normal form. ------ 24089/1310853. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b) a)) 3. ==[ beta ]==> ((b b)((^y.b) a)) 4. ==[ alpha ]==> ((b b)((^x.b) a)) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 24090/1310898. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^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. ------ 24091/1310925. ------ 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))((^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. ------ 24092/1310979. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 24093/1311042. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 24094/1311069. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 24095/1311096. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a))(^z.a))) 3. ==[ beta ]==> ((a (^y.a))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 24096/1311123. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 24097/1311150. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 24098/1311186. ------ 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)(^y.y))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 24099/1311240. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^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. ------ 24100/1311267. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 24101/1311294. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(y y)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 24102/1311321. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 24103/1311357. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 24104/1311411. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a))(a (^z.z)))) 5. ==[ beta ]==> (a ((a (a a))(a (^z.z)))) 6. ==[ alpha ]==> (a ((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 24105/1311492. ------ 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. ------ 24106/1311528. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 24107/1311555. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 24108/1311582. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.a))) REDUCED to normal form. ------ 24109/1311609. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24110/1311636. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 24111/1311672. ------ 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. ------ 24112/1311699. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 24113/1311726. ------ 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. ------ 24114/1311753. ------ 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 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. ------ 24115/1311780. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 24116/1311825. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y)) b)) 3. ==[ beta ]==> (b ((^y.(y y)) b)) 4. ==[ alpha ]==> (b ((^x.(x x)) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 24117/1311843. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 24118/1311987. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 24119/1312014. ------ 1. ==[ start ]==> (((a b) a)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 24120/1312041. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a)) a)) REDUCED to normal form. ------ 24121/1312095. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z)) c)) REDUCED to normal form. ------ 24122/1312113. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b ((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b ((^x.x) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(b a)) REDUCED to normal form. ------ 24123/1312149. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z)) a)) 5. ==[ beta ]==> ((^y.a)((^z.(z z)) a)) 6. ==[ alpha ]==> ((^x.a)((^y.(y y)) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 24124/1312176. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 24125/1312194. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (b ((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 24126/1312203. ------ 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. ------ 24127/1312221. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a) a)) REDUCED to normal form. ------ 24128/1312239. ------ 1. ==[ start ]==> (((a a)(a b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(a (^x.(x x)))) REDUCED to normal form. ------ 24129/1312266. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 24130/1312293. ------ 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.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 24131/1312320. ------ 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. ------ 24132/1312347. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.z))) 7. ==[ beta ]==> (a ((^y.a)(^z.z))) 8. ==[ alpha ]==> (a ((^x.a)(^y.y))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24133/1312374. ------ 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. ------ 24134/1312392. ------ 1. ==[ start ]==> (((^a.b) b)((a a) c)) 2. ==[ alpha ]==> (((^x.b) b)((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 24135/1312401. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a b)(a a))(^y.a)) 4. ==[ alpha ]==> (((a b)(a a))(^x.a)) REDUCED to normal form. ------ 24136/1312437. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(a a))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24137/1312464. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 24138/1312518. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b b)) 5. ==[ beta ]==> ((^y.y)(b b)) 6. ==[ alpha ]==> ((^x.x)(b b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 24139/1312599. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (a (^x1.x1)))) 3. ==[ beta ]==> (b (a (a (^x1.x1)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 24140/1312608. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 24141/1312635. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y) b)) 3. ==[ beta ]==> (((a a) a)((^y.y) b)) 4. ==[ alpha ]==> (((a a) a)((^x.x) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 24142/1312653. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b a)) 3. ==[ beta ]==> (((^y.y)(a a))(b a)) 4. ==[ alpha ]==> (((^x.x)(a a))(b a)) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 24143/1312662. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 24144/1312680. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 24145/1312689. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a) a)) REDUCED to normal form. ------ 24146/1312734. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(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. ------ 24147/1312742. ------ 1. ==[ start ]==> (^a.((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.((x (x x))(^y.(^z.z)))) REDUCED to normal form. ------ 24148/1312743. ------ 1. ==[ start ]==> (a ((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (a ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 24149/1312836. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 24150/1314456. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 24151/1315539. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a))) b) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z))) b) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z))) b) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1))) b) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1))) b) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z))) b) 7. ==[ beta ]==> (((^y.y)(^z.z)) b) 8. ==[ alpha ]==> (((^x.x)(^y.y)) b) 9. ==[ beta ]==> ((^y.y) b) 10. ==[ alpha ]==> ((^x.x) b) 11. ==[ beta ]==> b REDUCED to normal form. ------ 24152/1315548. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a))) a) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 24153/1315554. ------ 1. ==[ start ]==> ((^a.a)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 24154/1315563. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 24155/1315608. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 24156/1315644. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 24157/1315647. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 24158/1315689. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b) b)) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 24159/1315806. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.a))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.a))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 24160/1315878. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a)) a)) 3. ==[ eta ]==> ((^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. ------ 24161/1316049. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (^z.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 24162/1316148. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.a))((((^y.y)(^z.z))(^x1.a))(((^y.y)(^z.z))(^x1.a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((((^x1.x1)(^y1.y1))(^z1.a))(((^x2.x2)(^y2.y2))(^z2.a)))) 5. ==[ beta ]==> (((^y.y)(^z.a))((((^x1.x1)(^y1.y1))(^z1.a))(((^x2.x2)(^y2.y2))(^z2.a)))) 6. ==[ alpha ]==> (((^x.x)(^y.a))((((^z.z)(^x1.x1))(^y1.a))(((^z1.z1)(^x2.x2))(^y2.a)))) 7. ==[ beta ]==> ((^y.a)((((^z.z)(^x1.x1))(^y1.a))(((^z1.z1)(^x2.x2))(^y2.a)))) 8. ==[ alpha ]==> ((^x.a)((((^y.y)(^z.z))(^x1.a))(((^y1.y1)(^z1.z1))(^x2.a)))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 24163/1316268. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(a y))) 3. ==[ eta ]==> (((^x.x)(a (a a))) a) 4. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 24164/1316373. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 24165/1316466. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(y b))) 3. ==[ beta ]==> ((b b)(^y.(y b))) 4. ==[ alpha ]==> ((b b)(^x.(x b))) REDUCED to normal form. ------ 24166/1316646. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.b))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.b))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 7. ==[ beta ]==> (^y.(^z.b)) 8. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 24167/1316970. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 24168/1317264. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 24169/1317267. ------ 1. ==[ start ]==> ((a (^a.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 24170/1317444. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y)) b)) 3. ==[ beta ]==> (((^y.(y y)) b) b) 4. ==[ alpha ]==> (((^x.(x x)) b) b) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 24171/1317537. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 24172/1317645. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(a (a a)))) 3. ==[ beta ]==> ((a b)(^y.(a (a a)))) 4. ==[ alpha ]==> ((a b)(^x.(a (a a)))) REDUCED to normal form. ------ 24173/1317762. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(z (z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z (z z)))) 6. ==[ alpha ]==> ((^x.a)(^y.(y (y y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 24174/1317831. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b (^z.a))) 3. ==[ beta ]==> (^y.((b (^z.a))(b (^z.a)))) 4. ==[ alpha ]==> (^x.((b (^y.a))(b (^z.a)))) REDUCED to normal form. ------ 24175/1318014. ------ 1. ==[ start ]==> (((a b)(a a))(^c.c)) 2. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 24176/1318038. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a) a)) 3. ==[ beta ]==> ((^y.y)(((^z.a) a)((^z.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 ((^y.a) a)) 8. ==[ alpha ]==> (a ((^x.a) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24177/1318212. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 24178/1318221. ------ 1. ==[ start ]==> (((a b) b)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 24179/1318266. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 24180/1318293. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 24181/1318302. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.b)) REDUCED to normal form. ------ 24182/1318347. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(^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. ------ 24183/1318356. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 24184/1318368. ------ 1. ==[ start ]==> ((a a)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 24185/1318377. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 24186/1318404. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 24187/1318422. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 24188/1318431. ------ 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 24189/1318458. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 24190/1318476. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a)) a)) 3. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 24191/1318503. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b) b)) REDUCED to normal form. ------ 24192/1318512. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24193/1318566. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 24194/1318593. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24195/1318620. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 24196/1318656. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b (a b))) 3. ==[ beta ]==> ((^y.y)(b (a b))) 4. ==[ alpha ]==> ((^x.x)(b (a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 24197/1318692. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a)) a)) 3. ==[ beta ]==> ((a a)((^y.(a a)) a)) 4. ==[ alpha ]==> ((a a)((^x.(a a)) a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 24198/1318737. ------ 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. ------ 24199/1318764. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^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)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 24200/1318791. ------ 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. ------ 24201/1318818. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 24202/1318845. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 24203/1318863. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.b))) REDUCED to normal form. ------ 24204/1318908. ------ 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. ------ 24205/1318935. ------ 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. ------ 24206/1318962. ------ 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)))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.a))) 5. ==[ beta ]==> ((a (a (a a)))(^y.a)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.a)) REDUCED to normal form. ------ 24207/1318971. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24208/1318998. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (a a))) 6. ==[ alpha ]==> ((^x.(x x))(a (a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 24209/1319052. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24210/1319079. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(a b))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 24211/1319106. ------ 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)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 24212/1319160. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 24213/1319187. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 24214/1319277. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a (a b))) 3. ==[ beta ]==> ((b b)(a (a b))) REDUCED to normal form. ------ 24215/1319286. ------ 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. ------ 24216/1319412. ------ 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 (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 24217/1319439. ------ 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. ------ 24218/1319457. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^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. ------ 24219/1319538. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((^x1.x1) a)((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a ((^x1.x1) a))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z) a))) 9. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 24220/1319637. ------ 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. ------ 24221/1319664. ------ 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 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)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 24222/1319781. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(^c.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. ------ 24223/1319871. ------ 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) a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^z.z) 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. ------ 24224/1319898. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 24225/1319916. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 24226/1319997. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 24227/1320078. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 24228/1320096. ------ 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. ------ 24229/1320123. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (a a)) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a)) b)) REDUCED to normal form. ------ 24230/1320231. ------ 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. ------ 24231/1320249. ------ 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. ------ 24232/1320258. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (a b))((^x.(x x)) b)) 3. ==[ beta ]==> ((a (a b))(b b)) REDUCED to normal form. ------ 24233/1320348. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.(^x1.x1)))) IRREDUCIBLE: cycle. ------ 24234/1320411. ------ 1. ==[ start ]==> ((((a a) a) b)(c c)) REDUCED to normal form. ------ 24235/1320429. ------ 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 ((^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. ------ 24236/1320456. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 24237/1320483. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24238/1320519. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (a (^z.z)))) REDUCED to normal form. ------ 24239/1320537. ------ 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 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. ------ 24240/1320546. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(b a)) REDUCED to normal form. ------ 24241/1320573. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a (a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a (a a)))) 6. ==[ alpha ]==> ((^x.a)(a (a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 24242/1320600. ------ 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. ------ 24243/1320618. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (^y.(^z.z)))) 3. ==[ beta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 24244/1320627. ------ 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. ------ 24245/1320645. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.a))) REDUCED to normal form. ------ 24246/1320690. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(a (^y.y))) REDUCED to normal form. ------ 24247/1320717. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^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)))) REDUCED to normal form. ------ 24248/1320744. ------ 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. ------ 24249/1320771. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a) a)) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a) a)) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a) a)) 7. ==[ beta ]==> (a (((^y.y) a) a)) 8. ==[ alpha ]==> (a (((^x.x) a) a)) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 24250/1320798. ------ 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. ------ 24251/1320816. ------ 1. ==[ start ]==> (((^a.b) b)(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(b (a (^y.y)))) 3. ==[ beta ]==> (b (b (a (^y.y)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 24252/1320825. ------ 1. ==[ start ]==> (((a b)(a a))((a a) c)) REDUCED to normal form. ------ 24253/1320852. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a) a)) 3. ==[ beta ]==> ((a (a a))((^y.a) a)) 4. ==[ alpha ]==> ((a (a a))((^x.a) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 24254/1320861. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.z))) 3. ==[ beta ]==> ((^y.(a a))(c (^z.z))) 4. ==[ alpha ]==> ((^x.(a a))(c (^y.y))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24255/1320888. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 24256/1320942. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((^y.(^z.z))(a a)) 8. ==[ alpha ]==> ((^x.(^y.y))(a a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24257/1321023. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 24258/1321032. ------ 1. ==[ start ]==> (((a b) b)(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)(a (a (^x.x)))) REDUCED to normal form. ------ 24259/1321059. ------ 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. ------ 24260/1321077. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(a (^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 24261/1321086. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b a)) REDUCED to normal form. ------ 24262/1321104. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 24263/1321113. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a b)) REDUCED to normal form. ------ 24264/1321158. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a (^a.a))) 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. ------ 24265/1321167. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 24266/1321503. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((^x1.x1)(z z)))) 3. ==[ eta ]==> ((^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. ------ 24267/1322889. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 24268/1323663. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.((^a.a) a))) 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. ------ 24269/1323981. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a))) b) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 24270/1324005. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 24271/1324086. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 24272/1324098. ------ 1. ==[ start ]==> (((^a.a) b)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 24273/1324320. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a ((^z.z)(a a)))) 3. ==[ eta ]==> ((^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. ------ 24274/1324323. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a a)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 24275/1324719. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(a y))) 3. ==[ eta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 24276/1324908. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.y))) 3. ==[ beta ]==> ((b b)(^y.(^z.y))) 4. ==[ alpha ]==> ((b b)(^x.(^y.x))) REDUCED to normal form. ------ 24277/1324917. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.(a b))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(x b))) REDUCED to normal form. ------ 24278/1324941. ------ 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. ------ 24279/1325097. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 24280/1325583. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.x1))) REDUCED to normal form. ------ 24281/1325706. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 24282/1325709. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 24283/1325862. ------ 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. ------ 24284/1325886. ------ 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. ------ 24285/1326087. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 24286/1326096. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(a (a a)))) REDUCED to normal form. ------ 24287/1326204. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(z z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 24288/1326273. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1)) c)((^z.(^x1.x1)) c))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z)) c)((^x1.(^y1.y1)) c))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1)) c))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1)) c))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1)) c)) 8. ==[ alpha ]==> (^x.((^y.(^z.z)) c)) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 24289/1326294. ------ 1. ==[ start ]==> (((a a)(a b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a a)(a b))(^x.a)) REDUCED to normal form. ------ 24290/1326480. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a ((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a ((^z.z) a))(a ((^z.z) a)))) 4. ==[ alpha ]==> ((^x.x)((a ((^y.y) a))(a ((^z.z) a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(a ((^y.y) a))) 7. ==[ beta ]==> ((a a)(a ((^y.y) a))) 8. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 24291/1326483. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.((^a.a) a))) 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. ------ 24292/1326654. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> (b (^x1.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 24293/1326663. ------ 1. ==[ start ]==> (((a b) b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 24294/1326708. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.z)) 3. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 24295/1326717. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 24296/1326735. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(^a.a))) 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. ------ 24297/1326744. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(a a))) REDUCED to normal form. ------ 24298/1326789. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.a)) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 9. ==[ beta ]==> ((^y.y)(^z.a)) 10. ==[ alpha ]==> ((^x.x)(^y.a)) 11. ==[ beta ]==> (^y.a) 12. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 24299/1326798. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 24300/1326828. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 24301/1326837. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))((^a.a)(^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 (((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (a ((^y.y)(^z.z))) 10. ==[ alpha ]==> (a ((^x.x)(^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 24302/1326864. ------ 1. ==[ start ]==> (((a a) a)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a) a)((^x.a)((a a) a))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 24303/1326882. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 24304/1326891. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 24305/1326909. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 24306/1326918. ------ 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 ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 24307/1326945. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 24308/1326963. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 24309/1326972. ------ 1. ==[ start ]==> (((a a) b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 24310/1327026. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 24311/1327053. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(a a))(^b.(^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. ------ 24312/1327107. ------ 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)((^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. ------ 24313/1327116. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (a b))) REDUCED to normal form. ------ 24314/1327143. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 24315/1327152. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.a)((^z.(a a)) a)) 4. ==[ alpha ]==> ((^x.a)((^y.(a a)) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 24316/1327179. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 24317/1327332. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(a b))) 3. ==[ beta ]==> (((a a) a)((a a)(a b))) REDUCED to normal form. ------ 24318/1327422. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.a))(((^y.y)(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.a))) 7. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 9. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.a))) 10. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.a))) 11. ==[ beta ]==> a REDUCED to normal form. ------ 24319/1327449. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 24320/1327485. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 24321/1327512. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 24322/1327530. ------ 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. ------ 24323/1327539. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a b)) REDUCED to normal form. ------ 24324/1327557. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a b) a)) 3. ==[ beta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 24325/1327566. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 24326/1327620. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 24327/1327710. ------ 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. ------ 24328/1327728. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)(^z.b))) 3. ==[ beta ]==> ((b b)((^y.y)(^z.b))) 4. ==[ alpha ]==> ((b b)((^x.x)(^y.b))) 5. ==[ beta ]==> ((b b)(^y.b)) 6. ==[ alpha ]==> ((b b)(^x.b)) REDUCED to normal form. ------ 24329/1327737. ------ 1. ==[ start ]==> (((a (a a))(a a))(a (a b))) REDUCED to normal form. ------ 24330/1327764. ------ 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. ------ 24331/1327773. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 24332/1327800. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 24333/1327863. ------ 1. ==[ start ]==> (((a (a a)) b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 24334/1327890. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b (^z.a))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.a))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.a))) 5. ==[ beta ]==> (a (b (^y.a))) 6. ==[ alpha ]==> (a (b (^x.a))) REDUCED to normal form. ------ 24335/1327917. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 24336/1327935. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 24337/1327971. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 24338/1327989. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 24339/1327998. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((^z.z) a))) 7. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 24340/1328025. ------ 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))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 24341/1328286. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (a ((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) b)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 24342/1328403. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.a))) REDUCED to normal form. ------ 24343/1328430. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 24344/1328448. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((a (a a))(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 24345/1328457. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 24346/1328484. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24347/1328511. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 24348/1328529. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 24349/1328655. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b (a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(b (a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))(b (a (a a)))) REDUCED to normal form. ------ 24350/1328682. ------ 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. ------ 24351/1328709. ------ 1. ==[ start ]==> ((a (a b))((a (a a))(a a))) REDUCED to normal form. ------ 24352/1328718. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z)) b)) 3. ==[ beta ]==> ((^y.b)((^z.(z z)) b)) 4. ==[ alpha ]==> ((^x.b)((^y.(y y)) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 24353/1328862. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 24354/1328880. ------ 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 ((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 24355/1328889. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 24356/1328907. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)(^y.(y y)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 24357/1328916. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(a (a a))) REDUCED to normal form. ------ 24358/1328934. ------ 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)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 24359/1328970. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 24360/1328997. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 24361/1329024. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.(z z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 24362/1329069. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 24363/1329078. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (^y.(^z.z)))) REDUCED to normal form. ------ 24364/1329096. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 24365/1329114. ------ 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. ------ 24366/1329195. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b c)) REDUCED to normal form. ------ 24367/1329267. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 24368/1329276. ------ 1. ==[ start ]==> (((a b)(a a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(b (a (^x.x)))) REDUCED to normal form. ------ 24369/1329303. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 24370/1329312. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a) a)) 3. ==[ beta ]==> ((^y.(a a))((^z.a) a)) 4. ==[ alpha ]==> ((^x.(a a))((^y.a) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24371/1329339. ------ 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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24372/1329393. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(^a.a))) 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. ------ 24373/1329474. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 24374/1329483. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 24375/1329510. ------ 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. ------ 24376/1329528. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z) b)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y) b)) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 24377/1329537. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 24378/1329555. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a a)(^z.z))) 3. ==[ beta ]==> ((^y.y)((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. ------ 24379/1329564. ------ 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))(^y.b))(a a)) REDUCED to normal form. ------ 24380/1329609. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.a) 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. ------ 24381/1329618. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 24382/1329635. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(x (x x)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 24383/1329636. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 24384/1329963. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.(a a)))) 3. ==[ eta ]==> ((^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. ------ 24385/1332123. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.a))(^z.(^x1.a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.a))(^x1.(^y1.a)))) 5. ==[ beta ]==> ((^y.(^z.a))(^x1.(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.a))(^z.(^x1.a))) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 24386/1332441. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a))) c) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y))) c) REDUCED to normal form. ------ 24387/1332465. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(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. ------ 24388/1332492. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.x1)))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 7. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 8. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 9. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 10. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 11. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 12. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 13. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 14. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 15. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 16. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 17. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 18. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 19. ==[ beta ]==> ((^y.y)(^z.z)) 20. ==[ alpha ]==> ((^x.x)(^y.y)) 21. ==[ beta ]==> (^y.y) 22. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24389/1332519. ------ 1. ==[ start ]==> ((^a.b)((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.a)((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 24390/1332567. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 24391/1332576. ------ 1. ==[ start ]==> (((a a)(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 24392/1332600. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((^z.(a a))(^x1.x1))(^y.y)) 4. ==[ alpha ]==> (((^x.(a a))(^y.y))(^z.z)) 5. ==[ beta ]==> ((a a)(^z.z)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 24393/1332789. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(^x1.(a a)))) 3. ==[ eta ]==> ((^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. ------ 24394/1332792. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 24395/1332801. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((^y.a)(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((^x.a)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 24396/1332960. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 24397/1333008. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 24398/1333386. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.x))) REDUCED to normal form. ------ 24399/1333737. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.((a a) a))) REDUCED to normal form. ------ 24400/1333842. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((^x.a)(^y.(y y)))((^z.a)(^x1.(x1 x1))))((^y1.a)(^z1.(z1 z1)))) 5. ==[ beta ]==> ((a ((^z.a)(^x1.(x1 x1))))((^y1.a)(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.(y y))))((^z.a)(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a a)((^z.a)(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.(y y)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 24401/1334196. ------ 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. ------ 24402/1334331. ------ 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. ------ 24403/1334565. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 24404/1334673. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.d)) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.d)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.d)) 5. ==[ beta ]==> ((^y.a)(^z.d)) 6. ==[ alpha ]==> ((^x.a)(^y.d)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 24405/1334742. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(((a (^z.z))(a (^x1.x1)))((a (^z.z))(a (^x1.x1))))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(a (^z.z)))((a (^x1.x1))(a (^y1.y1))))) REDUCED to normal form. ------ 24406/1334790. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 24407/1334871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z) a))) 7. ==[ beta ]==> (a (^y.((^z.z) a))) 8. ==[ alpha ]==> (a (^x.((^y.y) a))) 9. ==[ beta ]==> (a (^x.a)) REDUCED to normal form. ------ 24408/1334949. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.a))((^z.z)(^x1.a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.a))((^x1.x1)(^y1.a)))) 5. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(^y1.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. ------ 24409/1334952. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.a))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.a))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.a))) REDUCED to normal form. ------ 24410/1334961. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.((^a.a) a))) 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. ------ 24411/1335132. ------ 1. ==[ start ]==> (((a b) b)(^c.b)) 2. ==[ alpha ]==> (((a b) b)(^x.b)) REDUCED to normal form. ------ 24412/1335186. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 24413/1335213. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 24414/1335258. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(y1 y1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 9. ==[ beta ]==> ((^y.y)(^z.(z z))) 10. ==[ alpha ]==> ((^x.x)(^y.(y y))) 11. ==[ beta ]==> (^y.(y y)) 12. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 24415/1335267. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 24416/1335297. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 24417/1335315. ------ 1. ==[ start ]==> (((^a.a) a)((a (a a))(^b.(^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. ------ 24418/1335324. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 9. ==[ beta ]==> ((a (a a))(^y.y)) 10. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 24419/1335351. ------ 1. ==[ start ]==> ((a b)((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a b)((^x.a)((a a) a))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 24420/1335369. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 24421/1335396. ------ 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. ------ 24422/1335405. ------ 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))((^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. ------ 24423/1335423. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 24424/1335432. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 24425/1335450. ------ 1. ==[ start ]==> (((a a) b)((a b) b)) REDUCED to normal form. ------ 24426/1335567. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 24427/1335594. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 24428/1335621. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 24429/1335630. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.a)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.a)(a ((^y.y)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 24430/1335657. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 24431/1335666. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b) b)) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 24432/1335711. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (a (((^x.x)(^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. ------ 24433/1335738. ------ 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. ------ 24434/1335792. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 24435/1335810. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.b))) 3. ==[ beta ]==> (((a a) a)(b (^y.b))) 4. ==[ alpha ]==> (((a a) a)(b (^x.b))) REDUCED to normal form. ------ 24436/1335837. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 24437/1335864. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.b)(a a))) 3. ==[ beta ]==> ((a (a a))((^y.b)(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(a a))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 24438/1335882. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 24439/1335963. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 24440/1336017. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.b))) REDUCED to normal form. ------ 24441/1336044. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b) a)) REDUCED to normal form. ------ 24442/1336071. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 24443/1336134. ------ 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. ------ 24444/1336161. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 24445/1336215. ------ 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. ------ 24446/1336251. ------ 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. ------ 24447/1336278. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(a (^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. ------ 24448/1336332. ------ 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. ------ 24449/1336386. ------ 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. ------ 24450/1336422. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 24451/1336449. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))(^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. ------ 24452/1336476. ------ 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. ------ 24453/1336503. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 9. ==[ beta ]==> (a (^y.(y y))) 10. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 24454/1336539. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 24455/1336566. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a) a)) REDUCED to normal form. ------ 24456/1336620. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 24457/1336647. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.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. ------ 24458/1336674. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 24459/1336710. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 24460/1336764. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))(a a))) 6. ==[ alpha ]==> (a (((^x.x)(^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. ------ 24461/1336800. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z)) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z)) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y)) c)) 5. ==[ beta ]==> (b ((^y.(y y)) c)) 6. ==[ alpha ]==> (b ((^x.(x x)) c)) 7. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 24462/1336845. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 24463/1336872. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 24464/1336908. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 8. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 24465/1336935. ------ 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. ------ 24466/1336962. ------ 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)(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24467/1336989. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 24468/1337025. ------ 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. ------ 24469/1337052. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^a.a))) 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. ------ 24470/1337079. ------ 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. ------ 24471/1337106. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 24472/1337133. ------ 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.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 24473/1337160. ------ 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. ------ 24474/1337178. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> (b ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 24475/1337196. ------ 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. ------ 24476/1337277. ------ 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. ------ 24477/1337340. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 24478/1337358. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 24479/1337367. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 24480/1337394. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.(y y)))) REDUCED to normal form. ------ 24481/1337448. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 24482/1337529. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 24483/1337547. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) a)(a a))) 3. ==[ beta ]==> (b (((^y.y) a)(a a))) 4. ==[ alpha ]==> (b (((^x.x) a)(a a))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 24484/1337556. ------ 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. ------ 24485/1337574. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 24486/1337592. ------ 1. ==[ start ]==> (((a a)(a b))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(a b))(b (^x.a))) REDUCED to normal form. ------ 24487/1337619. ------ 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. ------ 24488/1337646. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(a a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 24489/1337673. ------ 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. ------ 24490/1337700. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)((^y1.y1) 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. ------ 24491/1337727. ------ 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. ------ 24492/1337745. ------ 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)) REDUCED to normal form. ------ 24493/1337754. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 24494/1337781. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 24495/1337790. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a ((^z.z) a))) 3. ==[ beta ]==> ((^y.(a a))(a ((^z.z) a))) 4. ==[ alpha ]==> ((^x.(a a))(a ((^y.y) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24496/1337817. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 5. ==[ beta ]==> ((a (^y.y))(a a)) 6. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 24497/1337871. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c a)) 5. ==[ beta ]==> ((^y.y)(c a)) 6. ==[ alpha ]==> ((^x.x)(c a)) 7. ==[ beta ]==> (c a) REDUCED to normal form. ------ 24498/1337952. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 24499/1337961. ------ 1. ==[ start ]==> (((a b) b)((a a) b)) REDUCED to normal form. ------ 24500/1337988. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 24501/1338006. ------ 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. ------ 24502/1338015. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y) b)) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 24503/1338033. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 24504/1338042. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.z))) REDUCED to normal form. ------ 24505/1338087. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a (a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a (a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 9. ==[ beta ]==> ((^y.y)(a (a a))) 10. ==[ alpha ]==> ((^x.x)(a (a a))) 11. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 24506/1338096. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 24507/1338122. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^x.((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (^x.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 24508/1338123. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (a ((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (a ((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 24509/1340955. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a))) a) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z))) a) 3. ==[ beta ]==> (((^y.y)(^z.(z z))) a) 4. ==[ alpha ]==> (((^x.x)(^y.(y y))) a) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24510/1340961. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 24511/1340970. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 24512/1340988. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^y.(^z.z)))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 24513/1341015. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 24514/1341051. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 24515/1341096. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((((^z.z)(a a)) a)(^y.y)) 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. ------ 24516/1341213. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 24517/1341297. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 24518/1341555. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^y.(^z.z)))((((a a) a)(^y.(^z.z)))(((a a) a)(^y.(^z.z))))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((((a a) a)(^z.(^x1.x1)))(((a a) a)(^y1.(^z1.z1))))) REDUCED to normal form. ------ 24519/1341702. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(^y.y))((^z.z) a)) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 24520/1341780. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 24521/1341906. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 24522/1342062. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 24523/1342080. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^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. ------ 24524/1342548. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 24525/1342671. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^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. ------ 24526/1342845. ------ 1. ==[ start ]==> (((^a.b) a)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 24527/1342851. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((^y.(^z.z)) a) b) 4. ==[ alpha ]==> (((^x.(^y.y)) a) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 24528/1343079. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((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))) REDUCED to normal form. ------ 24529/1343196. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 24530/1343238. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((c (^z.(^x1.x1)))(c (^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.((c (^y.(^z.z)))(c (^x1.(^y1.y1))))) REDUCED to normal form. ------ 24531/1343457. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24532/1343538. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.y1))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 24533/1343655. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a a) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 24534/1343682. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 24535/1343700. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^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. ------ 24536/1343754. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(^a.a))) 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. ------ 24537/1343763. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 24538/1343790. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.z)) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24539/1343802. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 24540/1343811. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 24541/1343829. ------ 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. ------ 24542/1343838. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 24543/1343856. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.a))) 3. ==[ beta ]==> ((a b)(a (^y.a))) 4. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 24544/1343865. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a a)((^y.a)((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.a)((a a) a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 24545/1343892. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 24546/1343910. ------ 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. ------ 24547/1343937. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a (a (^x.x)))((a a) a)) REDUCED to normal form. ------ 24548/1343946. ------ 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 ]==> ((^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. ------ 24549/1343973. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 24550/1344027. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24551/1344054. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 24552/1344090. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 24553/1344135. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 24554/1344171. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)(a a))) REDUCED to normal form. ------ 24555/1344198. ------ 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. ------ 24556/1344225. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 24557/1344252. ------ 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. ------ 24558/1344279. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 24559/1344369. ------ 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. ------ 24560/1344396. ------ 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. ------ 24561/1344432. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24562/1344486. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 24563/1344513. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 24564/1344540. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 24565/1344621. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 24566/1344711. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b ((a a) a))) 3. ==[ beta ]==> ((b b)(b ((a a) a))) REDUCED to normal form. ------ 24567/1344747. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.b) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.b) a)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 24568/1344846. ------ 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. ------ 24569/1344873. ------ 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. ------ 24570/1344891. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b (^c.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. ------ 24571/1344900. ------ 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. ------ 24572/1344918. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(a (^z.b))) 3. ==[ beta ]==> ((^y.y)(a (^z.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 24573/1344972. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(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. ------ 24574/1345044. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 24575/1345098. ------ 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. ------ 24576/1345125. ------ 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. ------ 24577/1345215. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^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. ------ 24578/1345305. ------ 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. ------ 24579/1345332. ------ 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)(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. ------ 24580/1345377. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 24581/1345386. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 24582/1345431. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(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))) 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. ------ 24583/1345512. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^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. ------ 24584/1345530. ------ 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. ------ 24585/1345557. ------ 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)(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) a)) 7. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 24586/1345584. ------ 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. ------ 24587/1345683. ------ 1. ==[ start ]==> (((^a.b) a)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 24588/1345692. ------ 1. ==[ start ]==> ((a (a b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 24589/1345782. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.(z z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b (^z.(z z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.(z z)))) IRREDUCIBLE: cycle. ------ 24590/1345863. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 24591/1345872. ------ 1. ==[ start ]==> (((a b) a)(c c)) REDUCED to normal form. ------ 24592/1345890. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 24593/1345917. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 24594/1345971. ------ 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)))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 24595/1346007. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b ((^z.z) a))) 5. ==[ beta ]==> ((^y.a)(b ((^z.z) a))) 6. ==[ alpha ]==> ((^x.a)(b ((^y.y) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 24596/1346034. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 24597/1346061. ------ 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. ------ 24598/1346079. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 24599/1346097. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 24600/1346151. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 24601/1346178. ------ 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. ------ 24602/1346205. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.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. ------ 24603/1346232. ------ 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. ------ 24604/1346250. ------ 1. ==[ start ]==> (((^a.b) b)(c (a a))) 2. ==[ alpha ]==> (((^x.b) b)(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 24605/1346259. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x)) b)) REDUCED to normal form. ------ 24606/1346295. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24607/1346322. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(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. ------ 24608/1346376. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.a))) 5. ==[ beta ]==> ((^y.y)(a (^y1.a))) 6. ==[ alpha ]==> ((^x.x)(a (^y.a))) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 24609/1346457. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 24610/1346466. ------ 1. ==[ start ]==> (((a b) b)(b (a a))) REDUCED to normal form. ------ 24611/1346493. ------ 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. ------ 24612/1346511. ------ 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. ------ 24613/1346520. ------ 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. ------ 24614/1346538. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 24615/1346547. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b a)) REDUCED to normal form. ------ 24616/1346592. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.a)(^a.a))) 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. ------ 24617/1346601. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 24618/1346628. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a a)) 5. ==[ beta ]==> ((^y.(y y))(a a)) 6. ==[ alpha ]==> ((^x.(x x))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 24619/1347585. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(a 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. ------ 24620/1348530. ------ 1. ==[ start ]==> ((^a.(a b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.((^z.z)(^x1.x1))) b) 4. ==[ alpha ]==> ((^x.((^y.y)(^z.z))) b) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24621/1349469. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a))) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z))) b) 3. ==[ beta ]==> (((^y.y)(^z.(z z))) b) 4. ==[ alpha ]==> (((^x.x)(^y.(y y))) b) 5. ==[ beta ]==> ((^y.(y y)) b) 6. ==[ alpha ]==> ((^x.(x x)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 24622/1349493. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^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. ------ 24623/1349574. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 24624/1349613. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 24625/1349808. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (a b))) 3. ==[ eta ]==> ((^y.y)(b (a b))) 4. ==[ alpha ]==> ((^x.x)(b (a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 24626/1350234. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(a z))) 3. ==[ eta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 24627/1350303. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 24628/1350429. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(a (a b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24629/1350432. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(a 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))) REDUCED to normal form. ------ 24630/1350612. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.b))) REDUCED to normal form. ------ 24631/1351194. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 24632/1351368. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 24633/1351374. ------ 1. ==[ start ]==> ((^a.(a b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z))) b) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y))) b) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 24634/1351377. ------ 1. ==[ start ]==> ((a (a b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b))(^x.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 24635/1351719. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 24636/1351761. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a) b)) 3. ==[ beta ]==> (^y.(((^z.a) b)((^z.a) b))) 4. ==[ alpha ]==> (^x.(((^y.a) b)((^z.a) b))) 5. ==[ beta ]==> (^x.(a ((^z.a) b))) 6. ==[ alpha ]==> (^x.(a ((^y.a) b))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 24637/1351968. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((b (a (^z.z)))(b (a (^z.z))))) 4. ==[ alpha ]==> ((^x.x)((b (a (^y.y)))(b (a (^z.z))))) 5. ==[ beta ]==> ((b (a (^y.y)))(b (a (^z.z)))) 6. ==[ alpha ]==> ((b (a (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 24638/1351980. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.z)) 3. ==[ beta ]==> ((^y.(a a))(^z.z)) 4. ==[ alpha ]==> ((^x.(a a))(^y.y)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24639/1352061. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.c)) 5. ==[ beta ]==> ((^y.y)(^y1.c)) 6. ==[ alpha ]==> ((^x.x)(^y.c)) 7. ==[ beta ]==> (^y.c) 8. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 24640/1352178. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(^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. ------ 24641/1352223. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 24642/1352232. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 24643/1352286. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 24644/1352313. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.(^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. ------ 24645/1352343. ------ 1. ==[ start ]==> ((a (^a.a))(((^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. ------ 24646/1352352. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (a ((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 24647/1352370. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 24648/1352379. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 24649/1352406. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 24650/1352424. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 24651/1352433. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 24652/1352460. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 24653/1352478. ------ 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 ]==> ((^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. ------ 24654/1352487. ------ 1. ==[ start ]==> (((a a) b)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 24655/1352505. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((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. ------ 24656/1352514. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 24657/1352568. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^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. ------ 24658/1352622. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 24659/1352658. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (a b))) 3. ==[ beta ]==> ((a a)(b (a b))) REDUCED to normal form. ------ 24660/1352694. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(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. ------ 24661/1352847. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))((a a) a))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 24662/1352874. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(a b))) REDUCED to normal form. ------ 24663/1352919. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b)(a a))) 3. ==[ beta ]==> ((a a)((^y.b)(a a))) 4. ==[ alpha ]==> ((a a)((^x.b)(a a))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 24664/1352937. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^y.(^z.z)))(((a a) a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 24665/1352964. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 24666/1353000. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((a b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 24667/1353018. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 24668/1353027. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 24669/1353054. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 24670/1353072. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 24671/1353081. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a b)) REDUCED to normal form. ------ 24672/1353108. ------ 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))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 24673/1353126. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a) a) b)) 3. ==[ beta ]==> (((a a)(a a))(((a a) a) b)) REDUCED to normal form. ------ 24674/1353153. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) c)) 5. ==[ beta ]==> ((a (^x.(^y.y))) c) REDUCED to normal form. ------ 24675/1353243. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 24676/1353252. ------ 1. ==[ start ]==> (((a (a a))(a a))(b ((a a) a))) REDUCED to normal form. ------ 24677/1353279. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 24678/1353288. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24679/1353432. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 24680/1353459. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.b))) REDUCED to normal form. ------ 24681/1353486. ------ 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) REDUCED to normal form. ------ 24682/1353504. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 24683/1353513. ------ 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 (^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. ------ 24684/1353540. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 8. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 9. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 10. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 11. ==[ beta ]==> (a ((^y.y) a)) 12. ==[ alpha ]==> (a ((^x.x) a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24685/1353801. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a) a)) 5. ==[ beta ]==> (a ((^z.a) a)) 6. ==[ alpha ]==> (a ((^x.a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24686/1353918. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 24687/1353963. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 24688/1353972. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 24689/1353999. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24690/1354026. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 24691/1354044. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 24692/1354197. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b (a (a a)))) REDUCED to normal form. ------ 24693/1354215. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 24694/1354224. ------ 1. ==[ start ]==> ((a (a b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (a b))(a (^y.y))) 4. ==[ alpha ]==> ((a (a b))(a (^x.x))) REDUCED to normal form. ------ 24695/1354233. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 24696/1354377. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))(a a))) 3. ==[ beta ]==> ((((a a) a) b)((a a)(a a))) REDUCED to normal form. ------ 24697/1354395. ------ 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 (((^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. ------ 24698/1354404. ------ 1. ==[ start ]==> (((a b) a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 24699/1354422. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))(^b.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))) REDUCED to normal form. ------ 24700/1354431. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 24701/1354449. ------ 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 z)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 24702/1354485. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 24703/1354503. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a) b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a) b)) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a b)) REDUCED to normal form. ------ 24704/1354512. ------ 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)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 24705/1354539. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 24706/1354566. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 24707/1354584. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(y y)) a)) 3. ==[ beta ]==> (b ((^y.(y y)) a)) 4. ==[ alpha ]==> (b ((^x.(x x)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 24708/1354611. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a) b)) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 24709/1354629. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 24710/1354656. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a) a)) REDUCED to normal form. ------ 24711/1354737. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b c)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b c)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b c)) 5. ==[ beta ]==> (((^y.y) a)(b c)) 6. ==[ alpha ]==> (((^x.x) a)(b c)) 7. ==[ beta ]==> (a (b c)) REDUCED to normal form. ------ 24712/1354782. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 24713/1354791. ------ 1. ==[ start ]==> (((a b)(a a))(c (a a))) REDUCED to normal form. ------ 24714/1354818. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (a (^y.y)))) 3. ==[ beta ]==> ((a (a a))(b (a (^y.y)))) 4. ==[ alpha ]==> ((a (a a))(b (a (^x.x)))) REDUCED to normal form. ------ 24715/1354827. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a) c)) 3. ==[ beta ]==> ((^y.(a a))((a a) c)) 4. ==[ alpha ]==> ((^x.(a a))((a a) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24716/1354854. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 24717/1354908. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1) c)) 5. ==[ beta ]==> ((^y.y)((^y1.y1) 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. ------ 24718/1354989. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> (b ((a (^x1.x1)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 24719/1354998. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 24720/1355025. ------ 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)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 24721/1355043. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 24722/1355052. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 24723/1355070. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z) b)) 3. ==[ beta ]==> ((^y.y)((^z.z) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 24724/1355079. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 24725/1355124. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a a) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 9. ==[ beta ]==> ((^y.y)((a a) a)) 10. ==[ alpha ]==> ((^x.x)((a a) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 24726/1355133. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 24727/1355160. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a (^a.a))) 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. ------ 24728/1355316. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^z.((^x1.x1)(a a)))(^y.y)) 4. ==[ alpha ]==> ((^x.((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24729/1356126. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.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. ------ 24730/1357071. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 4. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 24731/1358061. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24732/1358088. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 24733/1358169. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^z.z)((^x1.x1)(a a)))(^y.y)) 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. ------ 24734/1358172. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 24735/1358358. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.b))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24736/1358397. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 24737/1358529. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 24738/1358604. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 24739/1358628. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b)(a a))) 3. ==[ beta ]==> (((^y.b)(a a))(((^y.b)(a a))((^y.b)(a a)))) 4. ==[ alpha ]==> (((^x.b)(a a))(((^y.b)(a a))((^z.b)(a a)))) 5. ==[ beta ]==> (b (((^y.b)(a a))((^z.b)(a a)))) 6. ==[ alpha ]==> (b (((^x.b)(a a))((^y.b)(a a)))) 7. ==[ beta ]==> (b (b ((^y.b)(a a)))) 8. ==[ alpha ]==> (b (b ((^x.b)(a a)))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 24740/1358784. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.b))) REDUCED to normal form. ------ 24741/1358979. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24742/1358982. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 24743/1358991. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(a 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. ------ 24744/1359333. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((a a) a))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.((a a) a))) 5. ==[ beta ]==> ((a a)(^y.((a a) a))) 6. ==[ alpha ]==> ((a a)(^x.((a a) a))) REDUCED to normal form. ------ 24745/1359411. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((^x.(x x))(^y.a))((^z.(z z))(^x1.a)))((^y1.(y1 y1))(^z1.a))) 5. ==[ beta ]==> ((((^y.a)(^y.a))((^z.(z z))(^x1.a)))((^y1.(y1 y1))(^z1.a))) 6. ==[ alpha ]==> ((((^x.a)(^y.a))((^z.(z z))(^x1.a)))((^y1.(y1 y1))(^z1.a))) 7. ==[ beta ]==> ((a ((^z.(z z))(^x1.a)))((^y1.(y1 y1))(^z1.a))) 8. ==[ alpha ]==> ((a ((^x.(x x))(^y.a)))((^z.(z z))(^x1.a))) 9. ==[ beta ]==> ((a ((^y.a)(^y.a)))((^z.(z z))(^x1.a))) 10. ==[ alpha ]==> ((a ((^x.a)(^y.a)))((^z.(z z))(^x1.a))) 11. ==[ beta ]==> ((a a)((^z.(z z))(^x1.a))) 12. ==[ alpha ]==> ((a a)((^x.(x x))(^y.a))) 13. ==[ beta ]==> ((a a)((^y.a)(^y.a))) 14. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 15. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 24746/1359504. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((z z) z))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((z z) z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((z z) z))) 5. ==[ beta ]==> (a (^z.((z z) z))) 6. ==[ alpha ]==> (a (^x.((x x) x))) REDUCED to normal form. ------ 24747/1359744. ------ 1. ==[ start ]==> ((^a.(^a.b))(c d)) 2. ==[ alpha ]==> ((^x.(^y.b))(c d)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 24748/1359792. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.((^a.a)(^a.a)))) 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))(^z.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 24749/1359924. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) b) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24750/1359927. ------ 1. ==[ start ]==> ((a (a b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 24751/1359936. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 24752/1360287. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(y (y y)))) 3. ==[ beta ]==> (b (^y.(y (y y)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 24753/1360311. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (^y.((((^z.z) a)(a a))(((^z.z) a)(a a)))) 4. ==[ alpha ]==> (^x.((((^y.y) a)(a a))(((^z.z) a)(a a)))) 5. ==[ beta ]==> (^x.((a (a a))(((^z.z) a)(a a)))) 6. ==[ alpha ]==> (^x.((a (a a))(((^y.y) a)(a a)))) 7. ==[ beta ]==> (^x.((a (a a))(a (a a)))) REDUCED to normal form. ------ 24754/1360386. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 24755/1360467. ------ 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. ------ 24756/1360518. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.(^z1.z1)))((^z.(^x1.x1))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 7. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24757/1360557. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.((^a.a) a))) 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. ------ 24758/1360611. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(^y1.(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 7. ==[ beta ]==> (^y.(a (^z.z))) 8. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 24759/1360692. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> (b (^x1.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 24760/1360746. ------ 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. ------ 24761/1360773. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 24762/1360782. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 24763/1360827. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.b)) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 9. ==[ beta ]==> ((^y.y)(^z.b)) 10. ==[ alpha ]==> ((^x.x)(^y.b)) 11. ==[ beta ]==> (^y.b) 12. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 24764/1360836. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 24765/1360863. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 24766/1360911. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 24767/1360920. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 24768/1360938. ------ 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. ------ 24769/1360947. ------ 1. ==[ start ]==> ((a b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a b)(^y.y)) 10. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 24770/1360992. ------ 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. ------ 24771/1361001. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 24772/1361019. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 24773/1361028. ------ 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))) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 24774/1361046. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(a a)) a)) 3. ==[ beta ]==> (((a a) b)((a a) a)) REDUCED to normal form. ------ 24775/1361073. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b) b)) REDUCED to normal form. ------ 24776/1361163. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 24777/1361190. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 24778/1361217. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 24779/1361226. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (a b))) 3. ==[ beta ]==> ((^y.a)(b (a b))) 4. ==[ alpha ]==> ((^x.a)(b (a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 24780/1361253. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 24781/1361262. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 24782/1361289. ------ 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)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 24783/1361307. ------ 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. ------ 24784/1361316. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a) c)) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 24785/1361334. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 24786/1361388. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 24787/1361433. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.b))) REDUCED to normal form. ------ 24788/1361460. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(a (^y.(a a)))) 3. ==[ beta ]==> ((a (a a))(a (^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))(a (^x.(a a)))) REDUCED to normal form. ------ 24789/1361478. ------ 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. ------ 24790/1361487. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)(a a))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 24791/1361559. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((a b)((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> ((a b)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 24792/1361586. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 24793/1361640. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.b))) REDUCED to normal form. ------ 24794/1361667. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 24795/1361694. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a) a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a) b)) REDUCED to normal form. ------ 24796/1361730. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(^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. ------ 24797/1361757. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 24798/1361784. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 24799/1361838. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a (^x.x))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 24800/1361847. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 24801/1361874. ------ 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. ------ 24802/1361928. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((a (a a))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 7. ==[ beta ]==> ((a (a a))((^y.y) a)) 8. ==[ alpha ]==> ((a (a a))((^x.x) a)) 9. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 24803/1361982. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 24804/1362009. ------ 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. ------ 24805/1362045. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((a (^y.a))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.y))) REDUCED to normal form. ------ 24806/1362072. ------ 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.(^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. ------ 24807/1362099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.a))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.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. ------ 24808/1362135. ------ 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)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 24809/1362162. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))((^x1.x1)(^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. ------ 24810/1362189. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)((a a) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a a)((^y.y)((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 24811/1362243. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))(^y1.(^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. ------ 24812/1362270. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)(^y.a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 24813/1362306. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 24814/1362360. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a ((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a ((a a) a))) 5. ==[ beta ]==> (a (a ((a a) a))) REDUCED to normal form. ------ 24815/1362396. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) b)) 5. ==[ beta ]==> (b ((^y.(^z.z)) b)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 24816/1362441. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(a ((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)(a ((^x.x) a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 24817/1362468. ------ 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 (^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. ------ 24818/1362531. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 24819/1362558. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(^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. ------ 24820/1362585. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 24821/1362603. ------ 1. ==[ start ]==> ((a (^a.b))(c d)) 2. ==[ alpha ]==> ((a (^x.b))(c d)) REDUCED to normal form. ------ 24822/1362621. ------ 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. ------ 24823/1362648. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 24824/1362675. ------ 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. ------ 24825/1362702. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(y y))(^z.(^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. ------ 24826/1362729. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 24827/1362756. ------ 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. ------ 24828/1362783. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 24829/1362792. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 24830/1362873. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))((^x1.x1) a))) IRREDUCIBLE: cycle. ------ 24831/1362936. ------ 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. ------ 24832/1362963. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 24833/1362981. ------ 1. ==[ start ]==> (((^a.a)(a b))(c c)) 2. ==[ alpha ]==> (((^x.x)(a b))(c c)) 3. ==[ beta ]==> ((a b)(c c)) REDUCED to normal form. ------ 24834/1362990. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 24835/1363044. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 24836/1363071. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a b)) REDUCED to normal form. ------ 24837/1363098. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z)) c)) 5. ==[ beta ]==> ((^y.a)((a (^z.z)) c)) 6. ==[ alpha ]==> ((^x.a)((a (^y.y)) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 24838/1363143. ------ 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)))) REDUCED to normal form. ------ 24839/1363152. ------ 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. ------ 24840/1363170. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (a a))) REDUCED to normal form. ------ 24841/1363188. ------ 1. ==[ start ]==> (((a a)(a b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 24842/1363215. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (^y.a))) REDUCED to normal form. ------ 24843/1363242. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 24844/1363269. ------ 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. ------ 24845/1363296. ------ 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)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 24846/1363323. ------ 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. ------ 24847/1363341. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 24848/1363350. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 24849/1363377. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 24850/1363386. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (a (^z.z)))) 3. ==[ beta ]==> ((^y.(a a))(b (a (^z.z)))) 4. ==[ alpha ]==> ((^x.(a a))(b (a (^y.y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24851/1363413. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1) 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. ------ 24852/1363467. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a a)(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 24853/1363548. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 24854/1363557. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b) b)((a (^x.x)) a)) REDUCED to normal form. ------ 24855/1363584. ------ 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. ------ 24856/1363602. ------ 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 ]==> (((^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. ------ 24857/1363611. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 24858/1363629. ------ 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)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 24859/1363638. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 24860/1363683. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a b)) 7. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 9. ==[ beta ]==> ((^y.y)(a b)) 10. ==[ alpha ]==> ((^x.x)(a b)) 11. ==[ beta ]==> (a b) REDUCED to normal form. ------ 24861/1363692. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 24862/1363719. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a) 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. ------ 24863/1363745. ------ 1. ==[ start ]==> (^a.(((a a) a)(^b.a))) 2. ==[ alpha ]==> (^x.(((x x) x)(^y.x))) REDUCED to normal form. ------ 24864/1363746. ------ 1. ==[ start ]==> (a (((a a) a)(^b.a))) 2. ==[ alpha ]==> (a (((a a) a)(^x.a))) REDUCED to normal form. ------ 24865/1366605. ------ 1. ==[ start ]==> ((((a a) a)(^b.a)) a) 2. ==[ alpha ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 24866/1366611. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 3. ==[ beta ]==> (((a a) a)(^y.a)) 4. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 24867/1366638. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 7. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 8. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 24868/1366665. ------ 1. ==[ start ]==> ((^a.b)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 24869/1366701. ------ 1. ==[ start ]==> ((^a.(^a.(^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. ------ 24870/1366746. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^z.(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 24871/1366758. ------ 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 ]==> ((^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. ------ 24872/1366863. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 24873/1366974. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(^b.(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. ------ 24874/1366983. ------ 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 (^x.x)) b)(^y.(y y))) REDUCED to normal form. ------ 24875/1367205. ------ 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. ------ 24876/1367430. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 24877/1367568. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 24878/1368081. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.a))) 5. ==[ beta ]==> (a (^z.(^x1.a))) 6. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 24879/1368321. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 24880/1368513. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 24881/1368864. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 24882/1368873. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 24883/1369095. ------ 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)) REDUCED to normal form. ------ 24884/1369134. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 24885/1369269. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (b (^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 24886/1369278. ------ 1. ==[ start ]==> (((a b) b)(^a.c)) 2. ==[ alpha ]==> (((a b) b)(^x.c)) REDUCED to normal form. ------ 24887/1369323. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 24888/1369332. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 24889/1369359. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(a a))) REDUCED to normal form. ------ 24890/1369404. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 9. ==[ beta ]==> ((^y.y)(^z.(a a))) 10. ==[ alpha ]==> ((^x.x)(^y.(a a))) 11. ==[ beta ]==> (^y.(a a)) 12. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 24891/1369413. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 24892/1369440. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 24893/1369467. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 24894/1369479. ------ 1. ==[ start ]==> ((a a)(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 24895/1369506. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 24896/1369515. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 24897/1369533. ------ 1. ==[ start ]==> ((a b)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 24898/1369542. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 24899/1369569. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 24900/1369587. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 24901/1369614. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 24902/1369623. ------ 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 ]==> ((^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. ------ 24903/1369650. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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 a) REDUCED to normal form. ------ 24904/1369677. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 24905/1369731. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 24906/1369812. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 24907/1369839. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)(^b.(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. ------ 24908/1369848. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (a a))) REDUCED to normal form. ------ 24909/1369875. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a b)(a a))) 3. ==[ beta ]==> ((a a)((a b)(a a))) REDUCED to normal form. ------ 24910/1369902. ------ 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. ------ 24911/1369929. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1) a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) a)) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 24912/1369956. ------ 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. ------ 24913/1370073. ------ 1. ==[ start ]==> ((a (a (a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))((a b)(^x.x))) REDUCED to normal form. ------ 24914/1370082. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(a a))) 3. ==[ beta ]==> ((^y.(y y))((^z.b)(a a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.b)(a a))) 5. ==[ beta ]==> (((^y.b)(a a))((^y.b)(a a))) 6. ==[ alpha ]==> (((^x.b)(a a))((^y.b)(a a))) 7. ==[ beta ]==> (b ((^y.b)(a a))) 8. ==[ alpha ]==> (b ((^x.b)(a a))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 24915/1370109. ------ 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 REDUCED to normal form. ------ 24916/1370163. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 7. ==[ beta ]==> ((^y.(y y))(a (a a))) 8. ==[ alpha ]==> ((^x.(x x))(a (a a))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 24917/1370190. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 24918/1370217. ------ 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 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. ------ 24919/1370271. ------ 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))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 24920/1370298. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 24921/1370388. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b b)(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b b)(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b b)(c (^y.y))) 6. ==[ alpha ]==> ((b b)(c (^x.x))) REDUCED to normal form. ------ 24922/1370433. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24923/1370523. ------ 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. ------ 24924/1370550. ------ 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. ------ 24925/1370577. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 24926/1370595. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b (^z.a))) 3. ==[ beta ]==> ((^y.y)(b (^z.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 24927/1370604. ------ 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. ------ 24928/1370721. ------ 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)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 24929/1370748. ------ 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. ------ 24930/1370802. ------ 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. ------ 24931/1370829. ------ 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)((^y.y) b)) 8. ==[ alpha ]==> ((a a)((^x.x) b)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 24932/1370892. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 24933/1370946. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(^x1.a))) 5. ==[ beta ]==> (a ((^z.z)(^x1.a))) 6. ==[ alpha ]==> (a ((^x.x)(^y.a))) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 24934/1370982. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x) b)(((^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. ------ 24935/1371009. ------ 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. ------ 24936/1371063. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(a (a a)))) REDUCED to normal form. ------ 24937/1371090. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 24938/1371189. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 24939/1371207. ------ 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. ------ 24940/1371234. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 24941/1371261. ------ 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. ------ 24942/1371288. ------ 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. ------ 24943/1371360. ------ 1. ==[ start ]==> (((^a.b) a)(b (a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)(b (a (a a)))) 3. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 24944/1371378. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 24945/1371540. ------ 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 ((^z.(z z))(a a))) 4. ==[ alpha ]==> (b ((^x.(x x))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 24946/1371567. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 24947/1371576. ------ 1. ==[ start ]==> (((a a)(^a.b))(c c)) 2. ==[ alpha ]==> (((a a)(^x.b))(c c)) REDUCED to normal form. ------ 24948/1371594. ------ 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)((^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. ------ 24949/1371648. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(^y.y))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^y.y))) 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. ------ 24950/1371684. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(c (a (^z.z)))) 6. ==[ alpha ]==> ((^x.a)(c (a (^y.y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 24951/1371711. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 24952/1371729. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (b ((^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. ------ 24953/1371738. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 24954/1371774. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a) b)) 2. ==[ alpha ]==> (((a a)(a b))((^x.a) b)) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 24955/1371855. ------ 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. ------ 24956/1371882. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a ((a (^y.y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 24957/1371909. ------ 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. ------ 24958/1371936. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) a) a)) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 24959/1371963. ------ 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)) REDUCED to normal form. ------ 24960/1371972. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 24961/1371999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 24962/1372053. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 24963/1372134. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 24964/1372143. ------ 1. ==[ start ]==> (((a b) b)(a c)) REDUCED to normal form. ------ 24965/1372170. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b (a a))) 3. ==[ beta ]==> (((a a) a)(b (a a))) REDUCED to normal form. ------ 24966/1372188. ------ 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)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 24967/1372197. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 24968/1372215. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 24969/1372224. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(a a))) REDUCED to normal form. ------ 24970/1372269. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(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. ------ 24971/1372278. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 24972/1372305. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 24973/1372332. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 24974/1375200. ------ 1. ==[ start ]==> ((((a a) a)(^b.a)) b) 2. ==[ alpha ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 24975/1375224. ------ 1. ==[ start ]==> ((^a.(^a.a))(((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. ------ 24976/1375371. ------ 1. ==[ start ]==> (((a a) b)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) b)(^x.(a a))) REDUCED to normal form. ------ 24977/1375587. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(a a)))) REDUCED to normal form. ------ 24978/1375803. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.(y y)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 24979/1375992. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(^z.z))) a) 4. ==[ beta ]==> ((a (^y.(^z.z))) a) 5. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 24980/1376034. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 24981/1376160. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24982/1376370. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.b))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 24983/1376856. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 24984/1376925. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 24985/1377105. ------ 1. ==[ start ]==> ((^a.(a b))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))(b (a (a a)))) 3. ==[ beta ]==> ((b (a (a a))) b) REDUCED to normal form. ------ 24986/1377261. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 24987/1377369. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 24988/1377468. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.d)) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.d)) 3. ==[ beta ]==> (b (^y.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 24989/1377477. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 24990/1377492. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z)) a)) 3. ==[ beta ]==> (^y.(((^z.(z z)) a)((^z.(z z)) a))) 4. ==[ alpha ]==> (^x.(((^y.(y y)) a)((^z.(z z)) a))) 5. ==[ beta ]==> (^x.((a a)((^z.(z z)) a))) 6. ==[ alpha ]==> (^x.((a a)((^y.(y y)) a))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 24991/1377666. ------ 1. ==[ start ]==> (((^a.b) b)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((^z.z) a))) 3. ==[ beta ]==> (b (^y.((^z.z) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 24992/1377738. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 24993/1377873. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 24994/1377882. ------ 1. ==[ start ]==> (((a b) b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 24995/1377936. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 24996/1378017. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 24997/1378044. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 24998/1378071. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 24999/1378101. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 25000/1378128. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^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.