;; ----- Otter 3.0.4, August 1995 ----- ;; The job was started by mccune on gyro, Thu Nov 2 00:22:04 1995 ;; ;;;; -> x=x. ;;;; z1*x=u, z2*y=u, z1*z=w, z3*y=w -> z2*z=z3*x. ;;;; -> e*e=e. ;;;; -> e*x=x*e. ;;;; -> x* (y*x)=y. ;;;; (A* (((A*B)*C)* (B*e)))* (e*e)=C -> . ;; ;; ----> UNIT CONFLICT at 0.64 sec ----> 133 [binary,132.1,1.1] -> . ;; ( (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) ((= (* (e) v0) (* v0 (e))))) (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 . (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)))) (9 (instantiate 4 ((v0 . v64))) ((= (* (e) v64) (* v64 (e))))) (10 (resolve 8 (1) 9 (1)) ((not (= (* v3 v4) (* v64 (e)))) (not (= (* (e) v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 v64)))) (11 (instantiate 10 ((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)))) (12 (instantiate 11 ((v1 . (e))(v2 . v0))) ((not (= (* v0 (e)) (* v0 (e)))) (not (= (* (e) v3) v4)) (not (= (* v5 (e)) v4)) (= (* v0 v3) (* v5 v0)))) (13 (instantiate 1 ((v0 . (* v0 (e))))) ((= (* v0 (e)) (* v0 (e))))) (14 (resolve 12 (1) 13 (1)) ((not (= (* (e) v3) v4)) (not (= (* v5 (e)) v4)) (= (* v0 v3) (* v5 v0)))) (15 (instantiate 14 ((v0 . v3)(v3 . v0)(v4 . v1)(v5 . v2))) ((not (= (* (e) v0) v1)) (not (= (* v2 (e)) v1)) (= (* v3 v0) (* v2 v3)))) (16 (instantiate 15 ((v0 . v64)(v1 . (* v64 (e))))) ((not (= (* (e) v64) (* v64 (e)))) (not (= (* v2 (e)) (* v64 (e)))) (= (* v3 v64) (* v2 v3)))) (17 (instantiate 4 ((v0 . v64))) ((= (* (e) v64) (* v64 (e))))) (18 (resolve 16 (1) 17 (1)) ((not (= (* v2 (e)) (* v64 (e)))) (= (* v3 v64) (* v2 v3)))) (19 (instantiate 18 ((v2 . v0)(v3 . v2)(v64 . v1))) ((not (= (* v0 (e)) (* v1 (e)))) (= (* v2 v1) (* v0 v2)))) (20 (instantiate 19 ((v1 . v0))) ((not (= (* v0 (e)) (* v0 (e)))) (= (* v2 v0) (* v0 v2)))) (21 (instantiate 1 ((v0 . (* v0 (e))))) ((= (* v0 (e)) (* v0 (e))))) (22 (resolve 20 (1) 21 (1)) ((= (* v2 v0) (* v0 v2)))) (23 (instantiate 22 ((v0 . v1)(v2 . v0))) ((= (* v0 v1) (* v1 v0)))) (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 5 ((v0 . v64))) ((= (* v64 (* v1 v64)) v1))) (29 (instantiate 23 ((v0 . v64)(v1 . (* v1 v64)))) ((= (* v64 (* v1 v64)) (* (* v1 v64) v64)))) (30 (paramod 28 (1 1) 29 (1 1)) ((= v1 (* (* v1 v64) v64)))) (31 (flip 30 (1)) ((= (* (* v1 v64) v64) v1))) (32 (instantiate 31 ((v1 . v0)(v64 . v1))) ((= (* (* v0 v1) v1) v0))) (33 (instantiate 23 ((v0 . v65)(v1 . v64))) ((= (* v65 v64) (* v64 v65)))) (34 (instantiate 5 ((v0 . v64)(v1 . v65))) ((= (* v64 (* v65 v64)) v65))) (35 (paramod 33 (1 1) 34 (1 1 2)) ((= (* v64 (* v64 v65)) v65))) (36 (instantiate 35 ((v64 . v0)(v65 . v1))) ((= (* v0 (* v0 v1)) v1))) (37 (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))))) (38 (instantiate 5 ((v0 . v64)(v1 . v65))) ((= (* v64 (* v65 v64)) v65))) (39 (resolve 37 (1) 38 (1)) ((not (= (* v3 v4) v65)) (not (= (* v64 v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 (* v65 v64))))) (40 (instantiate 39 ((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))))) (41 (instantiate 40 ((v0 . v64)(v1 . (* v65 v64))(v2 . v65))) ((not (= (* v64 (* v65 v64)) v65)) (not (= (* v3 v4) v5)) (not (= (* v6 (* v65 v64)) v5)) (= (* v64 v4) (* v6 (* v65 v3))))) (42 (instantiate 5 ((v0 . v64)(v1 . v65))) ((= (* v64 (* v65 v64)) v65))) (43 (resolve 41 (1) 42 (1)) ((not (= (* v3 v4) v5)) (not (= (* v6 (* v65 v64)) v5)) (= (* v64 v4) (* v6 (* v65 v3))))) (44 (instantiate 43 ((v3 . v0)(v4 . v1)(v5 . v2)(v6 . v3)(v64 . v5)(v65 . v4))) ((not (= (* v0 v1) v2)) (not (= (* v3 (* v4 v5)) v2)) (= (* v5 v1) (* v3 (* v4 v0))))) (45 (instantiate 44 ((v0 . v64)(v1 . (* v65 v64))(v2 . v65))) ((not (= (* v64 (* v65 v64)) v65)) (not (= (* v3 (* v4 v5)) v65)) (= (* v5 (* v65 v64)) (* v3 (* v4 v64))))) (46 (instantiate 5 ((v0 . v64)(v1 . v65))) ((= (* v64 (* v65 v64)) v65))) (47 (resolve 45 (1) 46 (1)) ((not (= (* v3 (* v4 v5)) v65)) (= (* v5 (* v65 v64)) (* v3 (* v4 v64))))) (48 (instantiate 47 ((v3 . v0)(v4 . v1)(v5 . v2)(v64 . v4)(v65 . v3))) ((not (= (* v0 (* v1 v2)) v3)) (= (* v2 (* v3 v4)) (* v0 (* v1 v4))))) (49 (instantiate 48 ((v0 . (* (* v1 v2) v65))(v3 . v65))) ((not (= (* (* (* v1 v2) v65) (* v1 v2)) v65)) (= (* v2 (* v65 v4)) (* (* (* v1 v2) v65) (* v1 v4))))) (50 (instantiate 27 ((v0 . (* v1 v2))(v1 . v65))) ((= (* (* (* v1 v2) v65) (* v1 v2)) v65))) (51 (resolve 49 (1) 50 (1)) ((= (* v2 (* v65 v4)) (* (* (* v1 v2) v65) (* v1 v4))))) (52 (instantiate 51 ((v1 . v3)(v2 . v0)(v4 . v2)(v65 . v1))) ((= (* v0 (* v1 v2)) (* (* (* v3 v0) v1) (* v3 v2))))) (53 (flip 52 (1)) ((= (* (* (* v3 v0) v1) (* v3 v2)) (* v0 (* v1 v2))))) (54 (instantiate 53 ((v0 . v1)(v1 . v2)(v2 . v3)(v3 . v0))) ((= (* (* (* v0 v1) v2) (* v0 v3)) (* v1 (* v2 v3))))) (55 (instantiate 23 ((v0 . (A))(v1 . (B)))) ((= (* (A) (B)) (* (B) (A))))) (56 (paramod 55 (1 1) 7 (1 1 1 1 2 1 1)) ((not (= (* (* (A) (* (* (* (B) (A)) (C)) (* (B) (e)))) (e)) (C))))) (57 (instantiate 54 ((v0 . (B))(v1 . (A))(v2 . (C))(v3 . (e)))) ((= (* (* (* (B) (A)) (C)) (* (B) (e))) (* (A) (* (C) (e)))))) (58 (paramod 57 (1 1) 56 (1 1 1 1 2)) ((not (= (* (* (A) (* (A) (* (C) (e)))) (e)) (C))))) (59 (instantiate 36 ((v0 . (A))(v1 . (* (C) (e))))) ((= (* (A) (* (A) (* (C) (e)))) (* (C) (e))))) (60 (paramod 59 (1 1) 58 (1 1 1 1)) ((not (= (* (* (C) (e)) (e)) (C))))) (61 (instantiate 32 ((v0 . (C))(v1 . (e)))) ((= (* (* (C) (e)) (e)) (C)))) (62 (paramod 61 (1 1) 60 (1 1 1)) ((not (= (C) (C))))) (63 (instantiate 1 ((v0 . (C)))) ((= (C) (C)))) (64 (resolve 62 (1) 63 (1)) ()) )