;; ----- Otter 3.0.4, August 1995 ----- ;; The job was started by mccune on gyro, Wed Nov 1 22:23:42 1995 ;; ;;;; x=x. ;;;; 1*x=x. ;;;; x*1=x. ;;;; x* (x\y)=y. ;;;; x\ (x*y)=y. ;;;; (x/y)*y=x. ;;;; (x*y)/y=x. ;;;; x*R(x)=1. ;;;; L(x)*x=1. ;;;; (x* (y*z))*x= (x*y)* (z*x). ;;;; ((A*B)*C)*B!=A* (B* (C*B)). ;; ;; ----> UNIT CONFLICT at 11.55 sec ----> 956 [binary,954.1,20.1] $F. ;; ( (1 (input) ((= (* (1) v0) v0))) (2 (input) ((= (* v0 (1)) v0))) (3 (input) ((= (* v0 (\ v0 v1)) v1))) (4 (input) ((= (\ v0 (* v0 v1)) v1))) (5 (input) ((= (* (/ v0 v1) v1) v0))) (6 (input) ((= (/ (* v0 v1) v1) v0))) (7 (input) ((= (* v0 (R v0)) (1)))) (8 (input) ((= (* (* v0 (* v1 v2)) v0) (* (* v0 v1) (* v2 v0))))) (9 (input) ((not (= (* (* (* (A) (B)) (C)) (B)) (* (A) (* (B) (* (C) (B)))))))) (10 (instantiate 7 ((v0 . v64))) ((= (* v64 (R v64)) (1)))) (11 (instantiate 4 ((v0 . v64)(v1 . (R v64)))) ((= (\ v64 (* v64 (R v64))) (R v64)))) (12 (paramod 10 (1 1) 11 (1 1 2)) ((= (\ v64 (1)) (R v64)))) (13 (instantiate 12 ((v64 . v0))) ((= (\ v0 (1)) (R v0)))) (14 (instantiate 2 ((v0 . v64))) ((= (* v64 (1)) v64))) (15 (instantiate 4 ((v0 . v64)(v1 . (1)))) ((= (\ v64 (* v64 (1))) (1)))) (16 (paramod 14 (1 1) 15 (1 1 2)) ((= (\ v64 v64) (1)))) (17 (instantiate 16 ((v64 . v0))) ((= (\ v0 v0) (1)))) (18 (instantiate 5 ((v1 . v66))) ((= (* (/ v0 v66) v66) v0))) (19 (instantiate 8 ((v0 . v64)(v1 . (/ v0 v66))(v2 . v66))) ((= (* (* v64 (* (/ v0 v66) v66)) v64) (* (* v64 (/ v0 v66)) (* v66 v64))))) (20 (paramod 18 (1 1) 19 (1 1 1 2)) ((= (* (* v64 v0) v64) (* (* v64 (/ v0 v66)) (* v66 v64))))) (21 (flip 20 (1)) ((= (* (* v64 (/ v0 v66)) (* v66 v64)) (* (* v64 v0) v64)))) (22 (instantiate 21 ((v0 . v1)(v64 . v0)(v66 . v2))) ((= (* (* v0 (/ v1 v2)) (* v2 v0)) (* (* v0 v1) v0)))) (23 (instantiate 3 ((v0 . v65))) ((= (* v65 (\ v65 v1)) v1))) (24 (instantiate 8 ((v0 . v64)(v1 . v65)(v2 . (\ v65 v1)))) ((= (* (* v64 (* v65 (\ v65 v1))) v64) (* (* v64 v65) (* (\ v65 v1) v64))))) (25 (paramod 23 (1 1) 24 (1 1 1 2)) ((= (* (* v64 v1) v64) (* (* v64 v65) (* (\ v65 v1) v64))))) (26 (instantiate 25 ((v64 . v0)(v65 . v2))) ((= (* (* v0 v1) v0) (* (* v0 v2) (* (\ v2 v1) v0))))) (27 (instantiate 1 ((v0 . v66))) ((= (* (1) v66) v66))) (28 (instantiate 8 ((v0 . v64)(v1 . (1))(v2 . v66))) ((= (* (* v64 (* (1) v66)) v64) (* (* v64 (1)) (* v66 v64))))) (29 (paramod 27 (1 1) 28 (1 1 1 2)) ((= (* (* v64 v66) v64) (* (* v64 (1)) (* v66 v64))))) (30 (instantiate 2 ((v0 . v64))) ((= (* v64 (1)) v64))) (31 (paramod 30 (1 1) 29 (1 2 1)) ((= (* (* v64 v66) v64) (* v64 (* v66 v64))))) (32 (instantiate 31 ((v64 . v0)(v66 . v1))) ((= (* (* v0 v1) v0) (* v0 (* v1 v0))))) (33 (paramod 32 (1 1) 26 (1 1)) ((= (* v0 (* v1 v0)) (* (* v0 v2) (* (\ v2 v1) v0))))) (34 (flip 33 (1)) ((= (* (* v0 v2) (* (\ v2 v1) v0)) (* v0 (* v1 v0))))) (35 (instantiate 34 ((v1 . v2)(v2 . v1))) ((= (* (* v0 v1) (* (\ v1 v2) v0)) (* v0 (* v2 v0))))) (36 (paramod 32 (1 1) 22 (1 2)) ((= (* (* v0 (/ v1 v2)) (* v2 v0)) (* v0 (* v1 v0))))) (37 (instantiate 32 ((v0 . v0)(v1 . (* v1 v2)))) ((= (* (* v0 (* v1 v2)) v0) (* v0 (* (* v1 v2) v0))))) (38 (paramod 37 (1 1) 8 (1 1)) ((= (* v0 (* (* v1 v2) v0)) (* (* v0 v1) (* v2 v0))))) (39 (instantiate 7 ((v0 . v64))) ((= (* v64 (R v64)) (1)))) (40 (instantiate 32 ((v0 . v64)(v1 . (R v64)))) ((= (* (* v64 (R v64)) v64) (* v64 (* (R v64) v64))))) (41 (paramod 39 (1 1) 40 (1 1 1)) ((= (* (1) v64) (* v64 (* (R v64) v64))))) (42 (instantiate 1 ((v0 . v64))) ((= (* (1) v64) v64))) (43 (paramod 42 (1 1) 41 (1 1)) ((= v64 (* v64 (* (R v64) v64))))) (44 (flip 43 (1)) ((= (* v64 (* (R v64) v64)) v64))) (45 (instantiate 44 ((v64 . v0))) ((= (* v0 (* (R v0) v0)) v0))) (46 (instantiate 3 ((v0 . v64))) ((= (* v64 (\ v64 v1)) v1))) (47 (instantiate 32 ((v0 . v64)(v1 . (\ v64 v1)))) ((= (* (* v64 (\ v64 v1)) v64) (* v64 (* (\ v64 v1) v64))))) (48 (paramod 46 (1 1) 47 (1 1 1)) ((= (* v1 v64) (* v64 (* (\ v64 v1) v64))))) (49 (flip 48 (1)) ((= (* v64 (* (\ v64 v1) v64)) (* v1 v64)))) (50 (instantiate 49 ((v64 . v0))) ((= (* v0 (* (\ v0 v1) v0)) (* v1 v0)))) (51 (instantiate 32 ((v0 . v65))) ((= (* (* v65 v1) v65) (* v65 (* v1 v65))))) (52 (instantiate 6 ((v0 . (* v65 v1))(v1 . v65))) ((= (/ (* (* v65 v1) v65) v65) (* v65 v1)))) (53 (paramod 51 (1 1) 52 (1 1 1)) ((= (/ (* v65 (* v1 v65)) v65) (* v65 v1)))) (54 (instantiate 53 ((v65 . v0))) ((= (/ (* v0 (* v1 v0)) v0) (* v0 v1)))) (55 (instantiate 45 ((v0 . v64))) ((= (* v64 (* (R v64) v64)) v64))) (56 (instantiate 4 ((v0 . v64)(v1 . 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(* (\ v64 v1) v64)))) ((= (\ v64 (* v64 (* (\ v64 v1) v64))) (* (\ v64 v1) v64)))) (70 (paramod 68 (1 1) 69 (1 1 2)) ((= (\ v64 (* v1 v64)) (* (\ v64 v1) v64)))) (71 (instantiate 70 ((v64 . v0))) ((= (\ v0 (* v1 v0)) (* (\ v0 v1) v0)))) (72 (instantiate 61 ((v0 . v65))) ((= (* (R v65) v65) (1)))) (73 (instantiate 35 ((v0 . (R v65))(v1 . v65)(v2 . v66))) ((= (* (* (R v65) v65) (* (\ v65 v66) (R v65))) (* (R v65) (* v66 (R v65)))))) (74 (paramod 72 (1 1) 73 (1 1 1)) ((= (* (1) (* (\ v65 v66) (R v65))) (* (R v65) (* v66 (R v65)))))) (75 (instantiate 1 ((v0 . (* (\ v65 v66) (R v65))))) ((= (* (1) (* (\ v65 v66) (R v65))) (* (\ v65 v66) (R v65))))) (76 (paramod 75 (1 1) 74 (1 1)) ((= (* (\ v65 v66) (R v65)) (* (R v65) (* v66 (R v65)))))) (77 (instantiate 76 ((v65 . v0)(v66 . v1))) ((= (* (\ v0 v1) (R v0)) (* (R v0) (* v1 (R v0)))))) (78 (instantiate 5 ((v1 . v64))) ((= (* (/ v0 v64) v64) v0))) (79 (instantiate 54 ((v0 . v64)(v1 . 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(\ v65 (/ v1 v65)))(v1 . v65))) ((= (/ (* (\ v65 (/ v1 v65)) v65) v65) (\ v65 (/ v1 v65))))) (108 (paramod 106 (1 1) 107 (1 1 1)) ((= (/ (\ v65 v1) v65) (\ v65 (/ v1 v65))))) (109 (flip 108 (1)) ((= (\ v65 (/ v1 v65)) (/ (\ v65 v1) v65)))) (110 (instantiate 109 ((v65 . v0))) ((= (\ v0 (/ v1 v0)) (/ (\ v0 v1) v0)))) (111 (instantiate 6 ((v0 . (\ v0 v1))(v1 . (R v0)))) ((= (/ (* (\ v0 v1) (R v0)) (R v0)) (\ v0 v1)))) (112 (paramod 77 (1 1) 111 (1 1 1)) ((= (/ (* (R v0) (* v1 (R v0))) (R v0)) (\ v0 v1)))) (113 (instantiate 81 ((v0 . (R v0))(v1 . (* v1 (R v0))))) ((= (/ (* (R v0) (* v1 (R v0))) (R v0)) (* (R v0) (/ (* v1 (R v0)) (R v0)))))) (114 (paramod 113 (1 1) 112 (1 1)) ((= (* (R v0) (/ (* v1 (R v0)) (R v0))) (\ v0 v1)))) (115 (instantiate 6 ((v0 . v1)(v1 . (R v0)))) ((= (/ (* v1 (R v0)) (R v0)) v1))) (116 (paramod 115 (1 1) 114 (1 1 2)) ((= (* (R v0) v1) (\ v0 v1)))) (117 (flip 116 (1)) ((= (\ v0 v1) (* (R v0) v1)))) (118 (instantiate 117 ((v0 . v0)(v1 . 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(* v1 (R (* v2 (R v0))))))) ((= (* (* v2 (R v0)) (* (R (* v2 (R v0))) (* v1 (R (* v2 (R v0)))))) (* v1 (R (* v2 (R v0))))))) (139 (paramod 138 (1 1) 137 (1 1 1 2)) ((= (* (* v0 (* v1 (R (* v2 (R v0))))) v2) (* v0 (* v1 v0))))) (140 (paramod 126 (1 1) 5 (1 1 1)) ((= (* (* v1 (* (R v1) (* v0 (R v1)))) v1) v0))) (141 (instantiate 131 ((v0 . v1)(v1 . (* v0 (R v1))))) ((= (* v1 (* (R v1) (* v0 (R v1)))) (* v0 (R v1))))) (142 (paramod 141 (1 1) 140 (1 1 1)) ((= (* (* v0 (R v1)) v1) v0))) (143 (instantiate 142 ((v0 . v64)(v1 . (R v0)))) ((= (* (* v64 (R (R v0))) (R v0)) v64))) (144 (paramod 67 (1 1) 143 (1 1 1 2)) ((= (* (* v64 v0) (R v0)) v64))) (145 (instantiate 144 ((v0 . v1)(v64 . v0))) ((= (* (* v0 v1) (R v1)) v0))) (146 (instantiate 145 ((v0 . (R v0))(v1 . 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