;; ----- Otter 3.0.4, August 1995 ----- ;; The job was started by mccune on gyro, Thu Nov 2 00:23:11 1995 ;; ;;;; -> x=x. ;;;; z1*x=u, z2*y=u, z1*z=w, z3*y=w -> z2*z=z3*x. ;;;; -> (x*e)*e=x. ;;;; -> e* (e*x)=x. ;;;; -> C4*A=C3*B. ;;;; -> C2*A=C1*B. ;;;; -> C4*F=C3*E. ;;;; C2*F=C1*E -> . ;; ;; ----> UNIT CONFLICT at 55.76 sec ----> 72 [binary,70.1,13.1] -> . ;; ( (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)) v0))) (4 (input) ((= (* (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)))(v1 . (e)))) ((not (= (* (* (* v2 v3) (e)) (e)) (* v2 v3))) (not (= (* v2 v4) v5)) (not (= (* v6 (e)) v5)) (= (* (* (* v2 v3) (e)) v4) (* v6 v3)))) (14 (instantiate 3 ((v0 . (* v2 v3)))) ((= (* (* (* v2 v3) (e)) (e)) (* v2 v3)))) (15 (resolve 13 (1) 14 (1)) ((not (= (* v2 v4) v5)) (not (= (* v6 (e)) v5)) (= (* (* (* v2 v3) (e)) v4) (* v6 v3)))) (16 (instantiate 15 ((v2 . v0)(v3 . v4)(v4 . v1)(v5 . v2)(v6 . v3))) ((not (= (* v0 v1) v2)) (not (= (* v3 (e)) v2)) (= (* (* (* v0 v4) (e)) v1) (* v3 v4)))) (17 (instantiate 16 ((v0 . (e))(v1 . (* (e) v64))(v2 . v64))) ((not (= (* (e) (* (e) v64)) v64)) (not (= (* v3 (e)) v64)) (= (* (* (* (e) v4) (e)) (* (e) v64)) (* v3 v4)))) (18 (instantiate 4 ((v0 . v64))) ((= (* (e) (* (e) v64)) v64))) (19 (resolve 17 (1) 18 (1)) ((not (= (* v3 (e)) v64)) (= (* (* (* (e) v4) (e)) (* (e) v64)) (* v3 v4)))) (20 (instantiate 19 ((v3 . v0)(v4 . v2)(v64 . v1))) ((not (= (* v0 (e)) v1)) (= (* (* (* (e) v2) (e)) (* (e) v1)) (* v0 v2)))) (21 (instantiate 20 ((v1 . (* v0 (e))))) ((not (= (* v0 (e)) (* v0 (e)))) (= (* (* (* (e) v2) (e)) (* (e) (* v0 (e)))) (* v0 v2)))) (22 (instantiate 1 ((v0 . (* v0 (e))))) ((= (* v0 (e)) (* v0 (e))))) (23 (resolve 21 (1) 22 (1)) ((= (* (* (* (e) v2) (e)) (* (e) (* v0 (e)))) (* v0 v2)))) (24 (instantiate 23 ((v0 . v1)(v2 . v0))) ((= (* (* (* (e) v0) (e)) (* (e) (* v1 (e)))) (* v1 v0)))) (25 (instantiate 2 ((v0 . (e))(v1 . (* (e) v64))(v2 . v64))) ((not (= (* (e) (* (e) v64)) v64)) (not (= (* v3 v4) v64)) (not (= (* (e) v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 (* (e) v64))))) (26 (instantiate 4 ((v0 . v64))) ((= (* (e) (* (e) v64)) v64))) (27 (resolve 25 (1) 26 (1)) ((not (= (* v3 v4) v64)) (not (= (* (e) v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 (* (e) v64))))) (28 (instantiate 27 ((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) v2))))) (29 (instantiate 28 ((v2 . (* v0 v1)))) ((not (= (* v0 v1) (* v0 v1))) (not (= (* (e) v3) v4)) (not (= (* v5 v1) v4)) (= (* v0 v3) (* v5 (* (e) (* v0 v1)))))) (30 (instantiate 1 ((v0 . (* v0 v1)))) ((= (* v0 v1) (* v0 v1)))) (31 (resolve 29 (1) 30 (1)) ((not (= (* (e) v3) v4)) (not (= (* v5 v1) v4)) (= (* v0 v3) (* v5 (* (e) (* v0 v1)))))) (32 (instantiate 31 ((v0 . v4)(v1 . v3)(v3 . v0)(v4 . v1)(v5 . v2))) ((not (= (* (e) v0) v1)) (not (= (* v2 v3) v1)) (= (* v4 v0) (* v2 (* (e) (* v4 v3)))))) (33 (instantiate 32 ((v1 . (* (e) v0)))) ((not (= (* (e) v0) (* (e) v0))) (not (= (* v2 v3) (* (e) v0))) (= (* v4 v0) (* v2 (* (e) (* v4 v3)))))) (34 (instantiate 1 ((v0 . (* (e) v0)))) ((= (* (e) v0) (* (e) v0)))) (35 (resolve 33 (1) 34 (1)) ((not (= (* v2 v3) (* (e) v0))) (= (* v4 v0) (* v2 (* (e) (* v4 v3)))))) (36 (instantiate 35 ((v0 . v2)(v2 . v0)(v3 . v1)(v4 . v3))) ((not (= (* v0 v1) (* (e) v2))) (= (* v3 v2) (* v0 (* (e) (* v3 v1)))))) (37 (instantiate 36 ((v0 . (* (* (e) v2) (e)))(v1 . (e)))) ((not (= (* (* (* (e) v2) (e)) (e)) (* (e) v2))) (= (* v3 v2) (* (* (* (e) v2) (e)) (* (e) (* v3 (e))))))) (38 (instantiate 3 ((v0 . (* (e) v2)))) ((= (* (* (* (e) v2) (e)) (e)) (* (e) v2)))) (39 (resolve 37 (1) 38 (1)) ((= (* v3 v2) (* (* (* (e) v2) (e)) (* (e) (* v3 (e))))))) (40 (instantiate 39 ((v2 . v1)(v3 . v0))) ((= (* v0 v1) (* (* (* (e) v1) (e)) (* (e) (* v0 (e))))))) (41 (instantiate 2 ((v0 . (C4))(v1 . (F))(v2 . (* (C3) (E))))) ((not (= (* (C4) (F)) (* (C3) (E)))) (not (= (* v3 v4) (* (C3) (E)))) (not (= (* (C4) v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 (F))))) (42 (resolve 41 (1) 7 (1)) ((not (= (* v3 v4) (* (C3) (E)))) (not (= (* (C4) v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 (F))))) (43 (instantiate 42 ((v3 . v0)(v4 . v1)(v5 . v2)(v6 . v3)(v7 . v4))) ((not (= (* v0 v1) (* (C3) (E)))) (not (= (* (C4) v2) v3)) (not (= (* v4 v1) v3)) (= (* v0 v2) (* v4 (F))))) (44 (instantiate 43 ((v0 . (* (* (e) (E)) (e)))(v1 . (* (e) (* (C3) (e)))))) ((not (= (* (* (* (e) (E)) (e)) (* (e) (* (C3) (e)))) (* (C3) (E)))) (not (= (* (C4) v2) v3)) (not (= (* v4 (* (e) (* (C3) (e)))) v3)) (= (* (* (* (e) (E)) (e)) v2) (* v4 (F))))) (45 (instantiate 24 ((v0 . (E))(v1 . (C3)))) ((= (* (* (* (e) (E)) (e)) (* (e) (* (C3) (e)))) (* (C3) (E))))) (46 (resolve 44 (1) 45 (1)) ((not (= (* (C4) v2) v3)) (not (= (* v4 (* (e) (* (C3) (e)))) v3)) (= (* (* (* (e) (E)) (e)) v2) (* v4 (F))))) (47 (instantiate 46 ((v2 . v0)(v3 . v1)(v4 . v2))) ((not (= (* (C4) v0) v1)) (not (= (* v2 (* (e) (* (C3) (e)))) v1)) (= (* (* (* (e) (E)) (e)) v0) (* v2 (F))))) (48 (instantiate 47 ((v0 . (A))(v1 . (* (C3) (B))))) ((not (= (* (C4) (A)) (* (C3) (B)))) (not (= (* v2 (* (e) (* (C3) (e)))) (* (C3) (B)))) (= (* (* (* (e) (E)) (e)) (A)) (* v2 (F))))) (49 (resolve 48 (1) 5 (1)) ((not (= (* v2 (* (e) (* (C3) (e)))) (* (C3) (B)))) (= (* (* (* (e) (E)) (e)) (A)) (* v2 (F))))) (50 (instantiate 49 ((v2 . v0))) ((not (= (* v0 (* (e) (* (C3) (e)))) (* (C3) (B)))) (= (* (* (* (e) (E)) (e)) (A)) (* v0 (F))))) (51 (instantiate 50 ((v0 . (* (* (e) (B)) (e))))) ((not (= (* (* (* (e) (B)) (e)) (* (e) (* (C3) (e)))) (* (C3) (B)))) (= (* (* (* (e) (E)) (e)) (A)) (* (* (* (e) (B)) (e)) (F))))) (52 (instantiate 24 ((v0 . (B))(v1 . (C3)))) ((= (* (* (* (e) (B)) (e)) (* (e) (* (C3) (e)))) (* (C3) (B))))) (53 (resolve 51 (1) 52 (1)) ((= (* (* (* (e) (E)) (e)) (A)) (* (* (* (e) (B)) (e)) (F))))) (54 (instantiate 2 ((v0 . (* (* (e) v64) (e)))(v1 . (* (e) (* v65 (e))))(v2 . (* v65 v64)))) ((not (= (* (* (* (e) v64) (e)) (* (e) (* v65 (e)))) (* v65 v64))) (not (= (* v3 v4) (* v65 v64))) (not (= (* (* (* (e) v64) (e)) v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 (* (e) (* v65 (e))))))) (55 (instantiate 24 ((v0 . v64)(v1 . v65))) ((= (* (* (* (e) v64) (e)) (* (e) (* v65 (e)))) (* v65 v64)))) (56 (resolve 54 (1) 55 (1)) ((not (= (* v3 v4) (* v65 v64))) (not (= (* (* (* (e) v64) (e)) v5) v6)) (not (= (* v7 v4) v6)) (= (* v3 v5) (* v7 (* (e) (* v65 (e))))))) (57 (instantiate 56 ((v3 . v0)(v4 . v1)(v5 . v4)(v6 . v5)(v7 . v6)(v64 . v3)(v65 . v2))) ((not (= (* v0 v1) (* v2 v3))) (not (= (* (* (* (e) v3) (e)) v4) v5)) (not (= (* v6 v1) v5)) (= (* v0 v4) (* v6 (* (e) (* v2 (e))))))) (58 (instantiate 57 ((v0 . (C2))(v1 . (A))(v2 . (C1))(v3 . (B)))) ((not (= (* (C2) (A)) (* (C1) (B)))) (not (= (* (* (* (e) (B)) (e)) v4) v5)) (not (= (* v6 (A)) v5)) (= (* (C2) v4) (* v6 (* (e) (* (C1) (e))))))) (59 (resolve 58 (1) 6 (1)) ((not (= (* (* (* (e) (B)) (e)) v4) v5)) (not (= (* v6 (A)) v5)) (= (* (C2) v4) (* v6 (* (e) (* (C1) (e))))))) (60 (instantiate 59 ((v4 . v0)(v5 . v1)(v6 . v2))) ((not (= (* (* (* (e) (B)) (e)) v0) v1)) (not (= (* v2 (A)) v1)) (= (* (C2) v0) (* v2 (* (e) (* (C1) (e))))))) (61 (instantiate 60 ((v1 . (* (* (* (e) (B)) (e)) v0)))) ((not (= (* (* (* (e) (B)) (e)) v0) (* (* (* (e) (B)) (e)) v0))) (not (= (* v2 (A)) (* (* (* (e) (B)) (e)) v0))) (= (* (C2) v0) (* v2 (* (e) (* (C1) (e))))))) (62 (instantiate 1 ((v0 . (* (* (* (e) (B)) (e)) v0)))) ((= (* (* (* (e) (B)) (e)) v0) (* (* (* (e) (B)) (e)) v0)))) (63 (resolve 61 (1) 62 (1)) ((not (= (* v2 (A)) (* (* (* (e) (B)) (e)) v0))) (= (* (C2) v0) (* v2 (* (e) (* (C1) (e))))))) (64 (instantiate 63 ((v0 . v1)(v2 . v0))) ((not (= (* v0 (A)) (* (* (* (e) (B)) (e)) v1))) (= (* (C2) v1) (* v0 (* (e) (* (C1) (e))))))) (65 (instantiate 64 ((v0 . (* (* (e) (E)) (e)))(v1 . (F)))) ((not (= (* (* (* (e) (E)) (e)) (A)) (* (* (* (e) (B)) (e)) (F)))) (= (* (C2) (F)) (* (* (* (e) (E)) (e)) (* (e) (* (C1) (e))))))) (66 (resolve 65 (1) 53 (1)) ((= (* (C2) (F)) (* (* (* (e) (E)) (e)) (* (e) (* (C1) (e))))))) (67 (flip 66 (1)) ((= (* (* (* (e) (E)) (e)) (* (e) (* (C1) (e)))) (* (C2) (F))))) (68 (instantiate 40 ((v0 . (* (* (e) (E)) (e)))(v1 . (* (e) (* (C1) (e)))))) ((= (* (* (* (e) (E)) (e)) (* (e) (* (C1) (e)))) (* (* (* (e) (* (e) (* (C1) (e)))) (e)) (* (e) (* (* (* (e) (E)) (e)) (e))))))) (69 (paramod 68 (1 1) 67 (1 1)) ((= (* (* (* (e) (* (e) (* (C1) (e)))) (e)) (* (e) (* (* (* (e) (E)) (e)) (e)))) (* (C2) (F))))) (70 (instantiate 4 ((v0 . (* (C1) (e))))) ((= (* (e) (* (e) (* (C1) (e)))) (* (C1) (e))))) (71 (paramod 70 (1 1) 69 (1 1 1 1)) ((= (* (* (* (C1) (e)) (e)) (* (e) (* (* (* (e) (E)) (e)) (e)))) (* (C2) (F))))) (72 (instantiate 3 ((v0 . (C1)))) ((= (* (* (C1) (e)) (e)) (C1)))) (73 (paramod 72 (1 1) 71 (1 1 1)) ((= (* (C1) (* (e) (* (* (* (e) (E)) (e)) (e)))) (* (C2) (F))))) (74 (instantiate 3 ((v0 . (* (e) (E))))) ((= (* (* (* (e) (E)) (e)) (e)) (* (e) (E))))) (75 (paramod 74 (1 1) 73 (1 1 2 2)) ((= (* (C1) (* (e) (* (e) (E)))) (* (C2) (F))))) (76 (instantiate 4 ((v0 . (E)))) ((= (* (e) (* (e) (E))) (E)))) (77 (paramod 76 (1 1) 75 (1 1 2)) ((= (* (C1) (E)) (* (C2) (F))))) (78 (flip 77 (1)) ((= (* (C2) (F)) (* (C1) (E))))) (79 (resolve 8 (1) 78 (1)) ()) )