;; ----- Otter 3.0.4, August 1995 ----- ;; The job was started by mccune on gyro, Thu Nov 2 00:21:54 1995 ;; ;;;; -> x=x. ;;;; z1*x=u, z2*y=u, z1*z=w, z3*y=w -> z2*z=z3*x. ;;;; -> e*e=e. ;;;; -> (x*e)*e=x. ;;;; -> x* (y*x)=y. ;;;; (A* (((A*B)*C)* (B*e)))* (e*e)=C -> . ;; ;; ----> UNIT CONFLICT at 1.04 sec ----> 196 [binary,195.1,1.1] -> . ;; ( (1 (input) ((= v0 v0))) (2 (input) ((not (= (* v0 v1) v2)) (not (= (* v3 v4) v2)) (not (= (* v0 v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 v1)))) (3 (input) ((= (* (e) (e)) (e)))) (4 (input) ((= (* (* v0 (e)) (e)) v0))) (5 (input) ((= (* v0 (* v1 v0)) v1))) (6 (input) ((not (= (* (* (A) (* (* (* (A) (B)) (C)) (* (B) (e)))) (* (e) (e))) (C))))) (7 (paramod 3 (1 1) 6 (1 1 1 2)) ((not (= (* (* (A) (* (* (* (A) (B)) (C)) (* (B) (e)))) (e)) (C))))) (8 (instantiate 2 ((v0 . (* v64 (e)))(v1 . (e))(v2 . v64))) ((not (= (* (* v64 (e)) (e)) v64)) (not (= (* v3 v4) v64)) (not (= (* (* v64 (e)) v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 (e))))) (9 (instantiate 4 ((v0 . v64))) ((= (* (* v64 (e)) (e)) v64))) (10 (resolve 8 (1) 9 (1)) ((not (= (* v3 v4) v64)) (not (= (* (* v64 (e)) v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 (e))))) (11 (instantiate 10 ((v3 . v0)(v4 . v1)(v5 . v3)(v6 . v4)(v7 . v5)(v64 . v2))) ((not (= (* v0 v1) v2)) (not (= (* (* v2 (e)) v3) v4)) (not (= (* v5 v1) v4)) (= (* v0 v3) (* v5 (e))))) (12 (instantiate 11 ((v0 . (e))(v1 . (e))(v2 . (e)))) ((not (= (* (e) (e)) (e))) (not (= (* (* (e) (e)) v3) v4)) (not (= (* v5 (e)) v4)) (= (* (e) v3) (* v5 (e))))) (13 (resolve 12 (1) 3 (1)) ((not (= (* (* (e) (e)) v3) v4)) (not (= (* v5 (e)) v4)) (= (* (e) v3) (* v5 (e))))) (14 (instantiate 13 ((v3 . v0)(v4 . v1)(v5 . v2))) ((not (= (* (* (e) (e)) v0) v1)) (not (= (* v2 (e)) v1)) (= (* (e) v0) (* v2 (e))))) (15 (instantiate 14 ((v0 . (* v65 (* (e) (e))))(v1 . v65))) ((not (= (* (* (e) (e)) (* v65 (* (e) (e)))) v65)) (not (= (* v2 (e)) v65)) (= (* (e) (* v65 (* (e) (e)))) (* v2 (e))))) (16 (instantiate 5 ((v0 . (* (e) (e)))(v1 . v65))) ((= (* (* (e) (e)) (* v65 (* (e) (e)))) v65))) (17 (resolve 15 (1) 16 (1)) ((not (= (* v2 (e)) v65)) (= (* (e) (* v65 (* (e) (e)))) (* v2 (e))))) (18 (instantiate 17 ((v2 . v0)(v65 . v1))) ((not (= (* v0 (e)) v1)) (= (* (e) (* v1 (* (e) (e)))) (* v0 (e))))) (19 (instantiate 18 ((v1 . (* v0 (e))))) ((not (= (* v0 (e)) (* v0 (e)))) (= (* (e) (* (* v0 (e)) (* (e) (e)))) (* v0 (e))))) (20 (instantiate 1 ((v0 . (* v0 (e))))) ((= (* v0 (e)) (* v0 (e))))) (21 (resolve 19 (1) 20 (1)) ((= (* (e) (* (* v0 (e)) (* (e) (e)))) (* v0 (e))))) (22 (paramod 3 (1 1) 21 (1 1 2 2)) ((= (* (e) (* (* v0 (e)) (e))) (* v0 (e))))) (23 (paramod 4 (1 1) 22 (1 1 2)) ((= (* (e) v0) (* v0 (e))))) (24 (instantiate 5 ((v0 . v65))) ((= (* v65 (* v1 v65)) v1))) (25 (instantiate 5 ((v0 . (* v1 v65))(v1 . v65))) ((= (* (* v1 v65) (* v65 (* v1 v65))) v65))) (26 (paramod 24 (1 1) 25 (1 1 2)) ((= (* (* v1 v65) v1) v65))) (27 (instantiate 26 ((v1 . v0)(v65 . v1))) ((= (* (* v0 v1) v0) v1))) (28 (instantiate 2 ((v0 . (e))(v1 . v64)(v2 . (* v64 (e))))) ((not (= (* (e) v64) (* v64 (e)))) (not (= (* v3 v4) (* v64 (e)))) (not (= (* (e) v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 v64)))) (29 (instantiate 23 ((v0 . v64))) ((= (* (e) v64) (* v64 (e))))) (30 (resolve 28 (1) 29 (1)) ((not (= (* v3 v4) (* v64 (e)))) (not (= (* (e) v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 v64)))) (31 (instantiate 30 ((v3 . v0)(v4 . v1)(v5 . v3)(v6 . v4)(v7 . v5)(v64 . v2))) ((not (= (* v0 v1) (* v2 (e)))) (not (= (* (e) v3) v4)) (not (= (* v5 v1) v4)) (= (* v0 v3) (* v5 v2)))) (32 (instantiate 31 ((v0 . (* (* v2 (e)) (e)))(v1 . (e)))) ((not (= (* (* (* v2 (e)) (e)) (e)) (* v2 (e)))) (not (= (* (e) v3) v4)) (not (= (* v5 (e)) v4)) (= (* (* (* v2 (e)) (e)) v3) (* v5 v2)))) (33 (instantiate 4 ((v0 . (* v2 (e))))) ((= (* (* (* v2 (e)) (e)) (e)) (* v2 (e))))) (34 (resolve 32 (1) 33 (1)) ((not (= (* (e) v3) v4)) (not (= (* v5 (e)) v4)) (= (* (* (* v2 (e)) (e)) v3) (* v5 v2)))) (35 (instantiate 34 ((v2 . v3)(v3 . v0)(v4 . v1)(v5 . v2))) ((not (= (* (e) v0) v1)) (not (= (* v2 (e)) v1)) (= (* (* (* v3 (e)) (e)) v0) (* v2 v3)))) (36 (instantiate 35 ((v0 . v64)(v1 . (* v64 (e))))) ((not (= (* (e) v64) (* v64 (e)))) (not (= (* v2 (e)) (* v64 (e)))) (= (* (* (* v3 (e)) (e)) v64) (* v2 v3)))) (37 (instantiate 23 ((v0 . v64))) ((= (* (e) v64) (* v64 (e))))) (38 (resolve 36 (1) 37 (1)) ((not (= (* v2 (e)) (* v64 (e)))) (= (* (* (* v3 (e)) (e)) v64) (* v2 v3)))) (39 (instantiate 38 ((v2 . v0)(v3 . v2)(v64 . v1))) ((not (= (* v0 (e)) (* v1 (e)))) (= (* (* (* v2 (e)) (e)) v1) (* v0 v2)))) (40 (instantiate 39 ((v0 . (* (* v1 (e)) (e))))) ((not (= (* (* (* v1 (e)) (e)) (e)) (* v1 (e)))) (= (* (* (* v2 (e)) (e)) v1) (* (* (* v1 (e)) (e)) v2)))) (41 (instantiate 4 ((v0 . (* v1 (e))))) ((= (* (* (* v1 (e)) (e)) (e)) (* v1 (e))))) (42 (resolve 40 (1) 41 (1)) ((= (* (* (* v2 (e)) (e)) v1) (* (* (* v1 (e)) (e)) v2)))) (43 (instantiate 42 ((v2 . v0))) ((= (* (* (* v0 (e)) (e)) v1) (* (* (* v1 (e)) (e)) v0)))) (44 (paramod 4 (1 1) 43 (1 1 1)) ((= (* v0 v1) (* (* (* v1 (e)) (e)) v0)))) (45 (instantiate 4 ((v0 . v1))) ((= (* (* v1 (e)) (e)) v1))) (46 (paramod 45 (1 1) 44 (1 2 1)) ((= (* v0 v1) (* v1 v0)))) (47 (instantiate 2 ((v0 . (* v64 v65))(v1 . v64)(v2 . v65))) ((not (= (* (* v64 v65) v64) v65)) (not (= (* v3 v4) v65)) (not (= (* (* v64 v65) v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 v64)))) (48 (instantiate 27 ((v0 . v64)(v1 . v65))) ((= (* (* v64 v65) v64) v65))) (49 (resolve 47 (1) 48 (1)) ((not (= (* v3 v4) v65)) (not (= (* (* v64 v65) v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 v64)))) (50 (instantiate 49 ((v3 . v0)(v4 . v1)(v5 . v4)(v6 . v5)(v7 . v6)(v64 . v3)(v65 . v2))) ((not (= (* v0 v1) v2)) (not (= (* (* v3 v2) v4) v5)) (not (= (* v6 v1) v5)) (= (* v0 v4) (* v6 v3)))) (51 (instantiate 50 ((v0 . (* v64 v65))(v1 . v64)(v2 . v65))) ((not (= (* (* v64 v65) v64) v65)) (not (= (* (* v3 v65) v4) v5)) (not (= (* v6 v64) v5)) (= (* (* v64 v65) v4) (* v6 v3)))) (52 (instantiate 27 ((v0 . v64)(v1 . v65))) ((= (* (* v64 v65) v64) v65))) (53 (resolve 51 (1) 52 (1)) ((not (= (* (* v3 v65) v4) v5)) (not (= (* v6 v64) v5)) (= (* (* v64 v65) v4) (* v6 v3)))) (54 (instantiate 53 ((v3 . v0)(v4 . v2)(v5 . v3)(v6 . v4)(v64 . v5)(v65 . v1))) ((not (= (* (* v0 v1) v2) v3)) (not (= (* v4 v5) v3)) (= (* (* v5 v1) v2) (* v4 v0)))) (55 (instantiate 54 ((v0 . v64)(v1 . (e))(v2 . (e))(v3 . v64))) ((not (= (* (* v64 (e)) (e)) v64)) (not (= (* v4 v5) v64)) (= (* (* v5 (e)) (e)) (* v4 v64)))) (56 (instantiate 4 ((v0 . v64))) ((= (* (* v64 (e)) (e)) v64))) (57 (resolve 55 (1) 56 (1)) ((not (= (* v4 v5) v64)) (= (* (* v5 (e)) (e)) (* v4 v64)))) (58 (instantiate 57 ((v4 . v0)(v5 . v1)(v64 . v2))) ((not (= (* v0 v1) v2)) (= (* (* v1 (e)) (e)) (* v0 v2)))) (59 (instantiate 58 ((v0 . (* v64 v65))(v1 . v64)(v2 . v65))) ((not (= (* (* v64 v65) v64) v65)) (= (* (* v64 (e)) (e)) (* (* v64 v65) v65)))) (60 (instantiate 27 ((v0 . v64)(v1 . v65))) ((= (* (* v64 v65) v64) v65))) (61 (resolve 59 (1) 60 (1)) ((= (* (* v64 (e)) (e)) (* (* v64 v65) v65)))) (62 (instantiate 61 ((v64 . v0)(v65 . v1))) ((= (* (* v0 (e)) (e)) (* (* v0 v1) v1)))) (63 (paramod 4 (1 1) 62 (1 1)) ((= v0 (* (* v0 v1) v1)))) (64 (flip 63 (1)) ((= (* (* v0 v1) v1) v0))) (65 (instantiate 2 ((v0 . v64)(v1 . (* v65 v64))(v2 . v65))) ((not (= (* v64 (* v65 v64)) v65)) (not (= (* v3 v4) v65)) (not (= (* v64 v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 (* v65 v64))))) (66 (instantiate 5 ((v0 . v64)(v1 . v65))) ((= (* v64 (* v65 v64)) v65))) (67 (resolve 65 (1) 66 (1)) ((not (= (* v3 v4) v65)) (not (= (* v64 v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 (* v65 v64))))) (68 (instantiate 67 ((v3 . v0)(v4 . v1)(v5 . v4)(v6 . v5)(v7 . v6)(v64 . v3)(v65 . v2))) ((not (= (* v0 v1) v2)) (not (= (* v3 v4) v5)) (not (= (* v6 v1) v5)) (= (* v0 v4) (* v6 (* v2 v3))))) (69 (instantiate 68 ((v0 . (* v64 v65))(v1 . v64)(v2 . v65))) ((not (= (* (* v64 v65) v64) v65)) (not (= (* v3 v4) v5)) (not (= (* v6 v64) v5)) (= (* (* v64 v65) v4) (* v6 (* v65 v3))))) (70 (instantiate 27 ((v0 . v64)(v1 . v65))) ((= (* (* v64 v65) v64) v65))) (71 (resolve 69 (1) 70 (1)) ((not (= (* v3 v4) v5)) (not (= (* v6 v64) v5)) (= (* (* v64 v65) v4) (* v6 (* v65 v3))))) (72 (instantiate 71 ((v3 . v0)(v4 . v1)(v5 . v2)(v6 . v3)(v64 . v4)(v65 . v5))) ((not (= (* v0 v1) v2)) (not (= (* v3 v4) v2)) (= (* (* v4 v5) v1) (* v3 (* v5 v0))))) (73 (instantiate 72 ((v0 . v64)(v1 . v65)(v2 . (* v65 v64)))) ((not (= (* v64 v65) (* v65 v64))) (not (= (* v3 v4) (* v65 v64))) (= (* (* v4 v5) v65) (* v3 (* v5 v64))))) (74 (instantiate 46 ((v0 . v64)(v1 . v65))) ((= (* v64 v65) (* v65 v64)))) (75 (resolve 73 (1) 74 (1)) ((not (= (* v3 v4) (* v65 v64))) (= (* (* v4 v5) v65) (* v3 (* v5 v64))))) (76 (instantiate 75 ((v3 . v0)(v4 . v1)(v5 . v4)(v64 . v3)(v65 . v2))) ((not (= (* v0 v1) (* v2 v3))) (= (* (* v1 v4) v2) (* v0 (* v4 v3))))) (77 (instantiate 76 ((v0 . v64)(v1 . (* (* v2 v3) v64)))) ((not (= (* v64 (* (* v2 v3) v64)) (* v2 v3))) (= (* (* (* (* v2 v3) v64) v4) v2) (* v64 (* v4 v3))))) (78 (instantiate 5 ((v0 . v64)(v1 . (* v2 v3)))) ((= (* v64 (* (* v2 v3) v64)) (* v2 v3)))) (79 (resolve 77 (1) 78 (1)) ((= (* (* (* (* v2 v3) v64) v4) v2) (* v64 (* v4 v3))))) (80 (instantiate 79 ((v2 . v0)(v3 . v1)(v4 . v3)(v64 . v2))) ((= (* (* (* (* v0 v1) v2) v3) v0) (* v2 (* v3 v1))))) (81 (instantiate 46 ((v0 . (A))(v1 . (* (* (* (A) (B)) (C)) (* (B) (e)))))) ((= (* (A) (* (* (* (A) (B)) (C)) (* (B) (e)))) (* (* (* (* (A) (B)) (C)) (* (B) (e))) (A))))) (82 (paramod 81 (1 1) 7 (1 1 1 1)) ((not (= (* (* (* (* (* (A) (B)) (C)) (* (B) (e))) (A)) (e)) (C))))) (83 (instantiate 80 ((v0 . (A))(v1 . (B))(v2 . (C))(v3 . (* (B) (e))))) ((= (* (* (* (* (A) (B)) (C)) (* (B) (e))) (A)) (* (C) (* (* (B) (e)) (B)))))) (84 (paramod 83 (1 1) 82 (1 1 1 1)) ((not (= (* (* (C) (* (* (B) (e)) (B))) (e)) (C))))) (85 (instantiate 27 ((v0 . (B))(v1 . (e)))) ((= (* (* (B) (e)) (B)) (e)))) (86 (paramod 85 (1 1) 84 (1 1 1 1 2)) ((not (= (* (* (C) (e)) (e)) (C))))) (87 (instantiate 64 ((v0 . (C))(v1 . (e)))) ((= (* (* (C) (e)) (e)) (C)))) (88 (paramod 87 (1 1) 86 (1 1 1)) ((not (= (C) (C))))) (89 (instantiate 1 ((v0 . (C)))) ((= (C) (C)))) (90 (resolve 88 (1) 89 (1)) ()) )