;; ----- Otter 3.0.4, August 1995 ----- ;; The job was started by mccune on gyro, Thu Nov 2 00:24:29 1995 ;; ;;;; -> x=x. ;;;; z1*x=u, z2*y=u, z1*z=w, z3*y=w -> z2*z=z3*x. ;;;; -> ((x*e)*e)*e=x. ;;;; -> e* (e* (e*x))=x. ;;;; -> C4*A=C3*B. ;;;; -> C2*A=C1*B. ;;;; -> C4*F=C3*E. ;;;; C2*F=C1*E -> . ;; ;; ----> UNIT CONFLICT at 74.62 sec ----> 517 [binary,515.1,13.1] -> . ;; ( (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) ((= (* (* (* v0 (e)) (e)) (e)) v0))) (4 (input) ((= (* (e) (* (e) (* (e) v0))) v0))) (5 (input) ((= (* (C4) (A)) (* (C3) (B))))) (6 (input) ((= (* (C2) (A)) (* (C1) (B))))) (7 (input) ((= (* (C4) (F)) (* (C3) (E))))) (8 (input) ((not (= (* (C2) (F)) (* (C1) (E)))))) (9 (instantiate 2 ((v2 . (* v0 v1)))) ((not (= (* v0 v1) (* v0 v1))) (not (= (* v3 v4) (* v0 v1))) (not (= (* v0 v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 v1)))) (10 (instantiate 1 ((v0 . (* v0 v1)))) ((= (* v0 v1) (* v0 v1)))) (11 (resolve 9 (1) 10 (1)) ((not (= (* v3 v4) (* v0 v1))) (not (= (* v0 v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 v1)))) (12 (instantiate 11 ((v0 . v2)(v1 . v3)(v3 . v0)(v4 . v1)(v5 . v4)(v6 . v5)(v7 . v6))) ((not (= (* v0 v1) (* v2 v3))) (not (= (* v2 v4) v5)) (not (= (* v6 v1) v5)) (= (* v0 v4) (* v6 v3)))) (13 (instantiate 12 ((v0 . (* (* (* v2 v3) (e)) (e)))(v1 . (e)))) ((not (= (* (* (* (* v2 v3) (e)) (e)) (e)) (* v2 v3))) (not (= (* v2 v4) v5)) (not (= (* v6 (e)) v5)) (= (* (* (* (* v2 v3) (e)) (e)) v4) (* v6 v3)))) (14 (instantiate 3 ((v0 . 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(* (* (* v1 v2) (e)) (e))))) ((not (= (* (* (* (* v1 v2) (e)) (e)) (e)) (* v1 v2))) (= (* (* (* (* v1 v3) (e)) (e)) v2) (* (* (* (* v1 v2) (e)) (e)) v3)))) (22 (instantiate 3 ((v0 . (* v1 v2)))) ((= (* (* (* (* v1 v2) (e)) (e)) (e)) (* v1 v2)))) (23 (resolve 21 (1) 22 (1)) ((= (* (* (* (* v1 v3) (e)) (e)) v2) (* (* (* (* v1 v2) (e)) (e)) v3)))) (24 (instantiate 23 ((v1 . v0)(v3 . v1))) ((= (* (* (* (* v0 v1) (e)) (e)) v2) (* (* (* (* v0 v2) (e)) (e)) v1)))) (25 (instantiate 2 ((v2 . (* v0 v1)))) ((not (= (* v0 v1) (* v0 v1))) (not (= (* v3 v4) (* v0 v1))) (not (= (* v0 v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 v1)))) (26 (instantiate 1 ((v0 . (* v0 v1)))) ((= (* v0 v1) (* v0 v1)))) (27 (resolve 25 (1) 26 (1)) ((not (= (* v3 v4) (* v0 v1))) (not (= (* v0 v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 v1)))) (28 (instantiate 27 ((v0 . v2)(v1 . v3)(v3 . v0)(v4 . v1)(v5 . v4)(v6 . v5)(v7 . v6))) ((not (= (* v0 v1) (* v2 v3))) (not (= (* v2 v4) v5)) (not (= (* v6 v1) v5)) (= (* v0 v4) (* v6 v3)))) (29 (instantiate 28 ((v0 . (* (* (* v2 v3) (e)) (e)))(v1 . (e)))) ((not (= (* (* (* (* v2 v3) (e)) (e)) (e)) (* v2 v3))) (not (= (* v2 v4) v5)) (not (= (* v6 (e)) v5)) (= (* (* (* (* v2 v3) (e)) (e)) v4) (* v6 v3)))) (30 (instantiate 3 ((v0 . (* v2 v3)))) ((= (* (* (* (* v2 v3) (e)) (e)) (e)) (* v2 v3)))) (31 (resolve 29 (1) 30 (1)) ((not (= (* v2 v4) v5)) (not (= (* v6 (e)) v5)) (= (* (* (* (* v2 v3) (e)) (e)) v4) (* v6 v3)))) (32 (instantiate 31 ((v2 . v0)(v3 . v4)(v4 . v1)(v5 . v2)(v6 . v3))) ((not (= (* v0 v1) v2)) (not (= (* v3 (e)) v2)) (= (* (* (* (* v0 v4) (e)) (e)) v1) (* v3 v4)))) (33 (instantiate 32 ((v0 . (C2))(v1 . (A))(v2 . (* (C1) (B))))) ((not (= (* (C2) (A)) (* (C1) (B)))) (not (= (* v3 (e)) (* (C1) (B)))) (= (* (* (* (* (C2) v4) (e)) (e)) (A)) (* v3 v4)))) (34 (resolve 33 (1) 6 (1)) ((not (= (* v3 (e)) (* (C1) (B)))) (= (* (* (* (* (C2) v4) (e)) (e)) (A)) (* v3 v4)))) (35 (instantiate 34 ((v3 . v0)(v4 . v1))) ((not (= (* v0 (e)) (* (C1) (B)))) (= (* (* (* (* (C2) v1) (e)) (e)) (A)) (* v0 v1)))) (36 (instantiate 35 ((v0 . (* (* (* (C1) (B)) (e)) (e))))) ((not (= (* (* (* (* (C1) (B)) (e)) (e)) (e)) (* (C1) (B)))) (= (* (* (* (* (C2) v1) (e)) (e)) (A)) (* (* (* (* (C1) (B)) (e)) (e)) v1)))) (37 (instantiate 3 ((v0 . (* (C1) (B))))) ((= (* (* (* (* (C1) (B)) (e)) (e)) (e)) (* (C1) (B))))) (38 (resolve 36 (1) 37 (1)) ((= (* (* (* (* (C2) v1) (e)) (e)) (A)) (* (* (* (* (C1) (B)) (e)) (e)) v1)))) (39 (instantiate 38 ((v1 . v0))) ((= (* (* (* (* (C2) v0) (e)) (e)) (A)) (* (* (* (* (C1) (B)) (e)) (e)) v0)))) (40 (instantiate 2 ((v0 . (e))(v1 . (* (e) (* (e) v64)))(v2 . v64))) ((not (= (* (e) (* (e) (* (e) v64))) v64)) (not (= (* v3 v4) v64)) (not (= (* (e) v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 (* (e) (* (e) v64)))))) (41 (instantiate 4 ((v0 . v64))) ((= (* (e) (* (e) (* (e) v64))) v64))) (42 (resolve 40 (1) 41 (1)) ((not (= (* v3 v4) v64)) (not (= (* (e) v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 (* (e) (* (e) v64)))))) (43 (instantiate 42 ((v3 . v0)(v4 . v1)(v5 . v3)(v6 . v4)(v7 . v5)(v64 . v2))) ((not (= (* v0 v1) v2)) (not (= (* (e) v3) v4)) (not (= (* v5 v1) v4)) (= (* v0 v3) (* v5 (* (e) (* (e) v2)))))) (44 (instantiate 43 ((v2 . (* v0 v1)))) ((not (= (* v0 v1) (* v0 v1))) (not (= (* (e) v3) v4)) (not (= (* v5 v1) v4)) (= (* v0 v3) (* v5 (* (e) (* (e) (* v0 v1))))))) (45 (instantiate 1 ((v0 . (* v0 v1)))) ((= (* v0 v1) (* v0 v1)))) (46 (resolve 44 (1) 45 (1)) ((not (= (* (e) v3) v4)) (not (= (* v5 v1) v4)) (= (* v0 v3) (* v5 (* (e) (* (e) (* v0 v1))))))) (47 (instantiate 46 ((v0 . v4)(v1 . v3)(v3 . v0)(v4 . v1)(v5 . v2))) ((not (= (* (e) v0) v1)) (not (= (* v2 v3) v1)) (= (* v4 v0) (* v2 (* (e) (* (e) (* v4 v3))))))) (48 (instantiate 47 ((v0 . (* (e) (* (e) v64)))(v1 . v64))) ((not (= (* (e) (* (e) (* (e) v64))) v64)) (not (= (* v2 v3) v64)) (= (* v4 (* (e) (* (e) v64))) (* v2 (* (e) (* (e) (* v4 v3))))))) (49 (instantiate 4 ((v0 . v64))) ((= (* (e) (* (e) (* (e) v64))) v64))) (50 (resolve 48 (1) 49 (1)) ((not (= (* v2 v3) v64)) (= (* v4 (* (e) (* (e) v64))) (* v2 (* (e) (* (e) (* v4 v3))))))) (51 (instantiate 50 ((v2 . v0)(v3 . v1)(v4 . v3)(v64 . v2))) ((not (= (* v0 v1) v2)) (= (* v3 (* (e) (* (e) v2))) (* v0 (* (e) (* (e) (* v3 v1))))))) (52 (instantiate 51 ((v0 . (* (* v64 (e)) (e)))(v1 . (e))(v2 . v64))) ((not (= (* (* (* v64 (e)) (e)) (e)) v64)) (= (* v3 (* (e) (* (e) v64))) (* (* (* v64 (e)) (e)) (* (e) (* (e) (* v3 (e)))))))) (53 (instantiate 3 ((v0 . v64))) ((= (* (* (* v64 (e)) (e)) (e)) v64))) (54 (resolve 52 (1) 53 (1)) ((= (* v3 (* (e) (* (e) v64))) (* (* (* v64 (e)) (e)) (* (e) (* (e) (* v3 (e)))))))) (55 (instantiate 54 ((v3 . v0)(v64 . v1))) ((= (* v0 (* (e) (* (e) v1))) (* (* (* v1 (e)) (e)) (* (e) (* (e) (* v0 (e)))))))) (56 (instantiate 2 ((v2 . (* v0 v1)))) ((not (= (* v0 v1) (* v0 v1))) (not (= (* v3 v4) (* v0 v1))) (not (= (* v0 v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 v1)))) (57 (instantiate 1 ((v0 . (* v0 v1)))) ((= (* v0 v1) (* v0 v1)))) (58 (resolve 56 (1) 57 (1)) ((not (= (* v3 v4) (* v0 v1))) (not (= (* v0 v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 v1)))) (59 (instantiate 58 ((v0 . v2)(v1 . v3)(v3 . v0)(v4 . v1)(v5 . v4)(v6 . v5)(v7 . v6))) ((not (= (* v0 v1) (* v2 v3))) (not (= (* v2 v4) v5)) (not (= (* v6 v1) v5)) (= (* v0 v4) (* v6 v3)))) (60 (instantiate 59 ((v0 . (* (* (* v2 v3) (e)) (e)))(v1 . (e)))) ((not (= (* (* (* (* v2 v3) (e)) (e)) (e)) (* v2 v3))) (not (= (* v2 v4) v5)) (not (= (* v6 (e)) v5)) (= (* (* (* (* v2 v3) (e)) (e)) v4) (* v6 v3)))) (61 (instantiate 3 ((v0 . (* v2 v3)))) ((= (* (* (* (* v2 v3) (e)) (e)) (e)) (* v2 v3)))) (62 (resolve 60 (1) 61 (1)) ((not (= (* v2 v4) v5)) (not (= (* v6 (e)) v5)) (= (* (* (* (* v2 v3) (e)) (e)) v4) (* v6 v3)))) (63 (instantiate 62 ((v2 . v0)(v3 . v4)(v4 . v1)(v5 . v2)(v6 . v3))) ((not (= (* v0 v1) v2)) (not (= (* v3 (e)) v2)) (= (* (* (* (* v0 v4) (e)) (e)) v1) (* v3 v4)))) (64 (instantiate 63 ((v0 . (e))(v1 . 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(C3)))) ((= (* (* (* (* (e) (E)) (e)) (e)) (* (e) (* (e) (* (C3) (e))))) (* (C3) (E))))) (77 (resolve 75 (1) 76 (1)) ((not (= (* (C4) v2) v3)) (not (= (* v4 (* (e) (* (e) (* (C3) (e))))) v3)) (= (* (* (* (* (e) (E)) (e)) (e)) v2) (* v4 (F))))) (78 (instantiate 77 ((v2 . v0)(v3 . v1)(v4 . v2))) ((not (= (* (C4) v0) v1)) (not (= (* v2 (* (e) (* (e) (* (C3) (e))))) v1)) (= (* (* (* (* (e) (E)) (e)) (e)) v0) (* v2 (F))))) (79 (instantiate 78 ((v0 . (A))(v1 . (* (C3) (B))))) ((not (= (* (C4) (A)) (* (C3) (B)))) (not (= (* v2 (* (e) (* (e) (* (C3) (e))))) (* (C3) (B)))) (= (* (* (* (* (e) (E)) (e)) (e)) (A)) (* v2 (F))))) (80 (resolve 79 (1) 5 (1)) ((not (= (* v2 (* (e) (* (e) (* (C3) (e))))) (* (C3) (B)))) (= (* (* (* (* (e) (E)) (e)) (e)) (A)) (* v2 (F))))) (81 (instantiate 80 ((v2 . v0))) ((not (= (* v0 (* (e) (* (e) (* (C3) (e))))) (* (C3) (B)))) (= (* (* (* (* (e) (E)) (e)) (e)) (A)) (* v0 (F))))) (82 (instantiate 81 ((v0 . (* (* (* (e) (B)) (e)) (e))))) ((not (= (* (* (* (* (e) (B)) (e)) (e)) (* (e) (* (e) (* (C3) (e))))) (* (C3) (B)))) (= (* (* (* (* (e) (E)) (e)) (e)) (A)) (* (* (* (* (e) (B)) (e)) (e)) (F))))) (83 (instantiate 71 ((v0 . (B))(v1 . (C3)))) ((= (* (* (* (* (e) (B)) (e)) (e)) (* (e) (* (e) (* (C3) (e))))) (* (C3) (B))))) (84 (resolve 82 (1) 83 (1)) ((= (* (* (* (* (e) (E)) (e)) (e)) (A)) (* (* (* (* (e) (B)) (e)) (e)) (F))))) (85 (instantiate 2 ((v0 . (* (* (* (e) v64) (e)) (e)))(v1 . (* (e) (* (e) (* v65 (e)))))(v2 . 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