;; ----- Otter 3.0.4, August 1995 ----- ;; The job was started by mccune on gyro, Wed Nov 1 22:03:26 1995 ;; ;;;; x=x. ;;;; x^x=x. ;;;; x^y=y^x. ;;;; (x^y)^z=x^ (y^z). ;;;; x v x=x. ;;;; x v y=y v x. ;;;; (x v y) v z=x v (y v z). ;;;; x^ (x v y)=x. ;;;; x v (x^y)=x. ;;;; x^ (y v z)= (x^y) v (x^z). ;;;; A v (B^C)!= (A v B)^ (A v C). ;; ;; ----> UNIT CONFLICT at 4.08 sec ----> 818 [binary,816.1,145.1] $F. ;; ( (1 (input) ((= (^ v0 v1) (^ v1 v0)))) (2 (input) ((= (^ (^ v0 v1) v2) (^ v0 (^ v1 v2))))) (3 (input) ((= (v v0 v1) (v v1 v0)))) (4 (input) ((= (v (v v0 v1) v2) (v v0 (v v1 v2))))) (5 (input) ((= (^ v0 (v v0 v1)) v0))) (6 (input) ((= (v v0 (^ v0 v1)) v0))) (7 (input) ((= (^ v0 (v v1 v2)) (v (^ v0 v1) (^ v0 v2))))) (8 (flip 7 (1)) ((= (v (^ v0 v1) (^ v0 v2)) (^ v0 (v v1 v2))))) (9 (input) ((not (= (v (A) (^ (B) (C))) (^ (v (A) (B)) (v (A) (C))))))) (10 (instantiate 3 ((v0 . v64)(v1 . v65))) ((= (v v64 v65) (v v65 v64)))) (11 (instantiate 5 ((v0 . v64)(v1 . v65))) ((= (^ v64 (v v64 v65)) v64))) (12 (paramod 10 (1 1) 11 (1 1 2)) ((= (^ v64 (v v65 v64)) v64))) (13 (instantiate 12 ((v64 . v0)(v65 . v1))) ((= (^ v0 (v v1 v0)) v0))) (14 (instantiate 1 ((v0 . v64)(v1 . (v v64 v65)))) ((= (^ v64 (v v64 v65)) (^ (v v64 v65) v64)))) (15 (instantiate 5 ((v0 . v64)(v1 . v65))) ((= (^ v64 (v v64 v65)) v64))) (16 (paramod 14 (1 1) 15 (1 1)) ((= (^ (v v64 v65) v64) v64))) (17 (instantiate 16 ((v64 . v0)(v65 . v1))) ((= (^ (v v0 v1) v0) v0))) (18 (instantiate 1 ((v0 . v64)(v1 . v65))) ((= (^ v64 v65) (^ v65 v64)))) (19 (instantiate 6 ((v0 . v64)(v1 . v65))) ((= (v v64 (^ v64 v65)) v64))) (20 (paramod 18 (1 1) 19 (1 1 2)) ((= (v v64 (^ v65 v64)) v64))) (21 (instantiate 20 ((v64 . v0)(v65 . v1))) ((= (v v0 (^ v1 v0)) v0))) (22 (instantiate 6 ((v0 . v65))) ((= (v v65 (^ v65 v1)) v65))) (23 (instantiate 13 ((v0 . (^ v65 v1))(v1 . v65))) ((= (^ (^ v65 v1) (v v65 (^ v65 v1))) (^ v65 v1)))) (24 (paramod 22 (1 1) 23 (1 1 2)) ((= (^ (^ v65 v1) v65) (^ v65 v1)))) (25 (instantiate 2 ((v0 . v65)(v1 . v1)(v2 . v65))) ((= (^ (^ v65 v1) v65) (^ v65 (^ v1 v65))))) (26 (paramod 25 (1 1) 24 (1 1)) ((= (^ v65 (^ v1 v65)) (^ v65 v1)))) (27 (instantiate 26 ((v65 . v0))) ((= (^ v0 (^ v1 v0)) (^ v0 v1)))) (28 (instantiate 3 ((v0 . v64)(v1 . (^ v65 v64)))) ((= (v v64 (^ v65 v64)) (v (^ v65 v64) v64)))) (29 (instantiate 21 ((v0 . v64)(v1 . v65))) ((= (v v64 (^ v65 v64)) v64))) (30 (paramod 28 (1 1) 29 (1 1)) ((= (v (^ v65 v64) v64) v64))) (31 (instantiate 30 ((v64 . v1)(v65 . v0))) ((= (v (^ v0 v1) v1) v1))) (32 (instantiate 21 ((v0 . v64))) ((= (v v64 (^ v1 v64)) v64))) (33 (instantiate 4 ((v0 . v64)(v1 . (^ v1 v64))(v2 . v66))) ((= (v (v v64 (^ v1 v64)) v66) (v v64 (v (^ v1 v64) v66))))) (34 (paramod 32 (1 1) 33 (1 1 1)) ((= (v v64 v66) (v v64 (v (^ v1 v64) v66))))) (35 (flip 34 (1)) ((= (v v64 (v (^ v1 v64) v66)) (v v64 v66)))) (36 (instantiate 35 ((v64 . v0)(v66 . v2))) ((= (v v0 (v (^ v1 v0) v2)) (v v0 v2)))) (37 (instantiate 4 ((v2 . v65))) ((= (v (v v0 v1) v65) (v v0 (v v1 v65))))) (38 (instantiate 17 ((v0 . (v v0 v1))(v1 . v65))) ((= (^ (v (v v0 v1) v65) (v v0 v1)) (v v0 v1)))) (39 (paramod 37 (1 1) 38 (1 1 1)) ((= (^ (v v0 (v v1 v65)) (v v0 v1)) (v v0 v1)))) (40 (instantiate 39 ((v65 . v2))) ((= (^ (v v0 (v v1 v2)) (v v0 v1)) (v v0 v1)))) (41 (instantiate 17 ((v0 . v65))) ((= (^ (v v65 v1) v65) v65))) (42 (instantiate 8 ((v0 . (v v65 v1))(v1 . v65)(v2 . v66))) ((= (v (^ (v v65 v1) v65) (^ (v v65 v1) v66)) (^ (v v65 v1) (v v65 v66))))) (43 (paramod 41 (1 1) 42 (1 1 1)) ((= (v v65 (^ (v v65 v1) v66)) (^ (v v65 v1) (v v65 v66))))) (44 (instantiate 43 ((v65 . v0)(v66 . v2))) ((= (v v0 (^ (v v0 v1) v2)) (^ (v v0 v1) (v v0 v2))))) (45 (instantiate 1 ((v0 . (B))(v1 . (C)))) ((= (^ (B) (C)) (^ (C) (B))))) (46 (paramod 45 (1 1) 9 (1 1 1 2)) ((not (= (v (A) (^ (C) (B))) (^ (v (A) (B)) (v (A) (C))))))) (47 (instantiate 8 ((v0 . v65)(v1 . v64))) ((= (v (^ v65 v64) (^ v65 v2)) (^ v65 (v v64 v2))))) (48 (instantiate 36 ((v0 . v64)(v1 . v65)(v2 . (^ v65 v2)))) ((= (v v64 (v (^ v65 v64) (^ v65 v2))) (v v64 (^ v65 v2))))) (49 (paramod 47 (1 1) 48 (1 1 2)) ((= (v v64 (^ v65 (v v64 v2))) (v v64 (^ v65 v2))))) (50 (instantiate 49 ((v64 . v0)(v65 . v1))) ((= (v v0 (^ v1 (v v0 v2))) (v v0 (^ v1 v2))))) (51 (instantiate 31 ((v1 . v66))) ((= (v (^ v0 v66) v66) v66))) (52 (instantiate 40 ((v0 . v64)(v1 . (^ v0 v66))(v2 . v66))) ((= (^ (v v64 (v (^ v0 v66) v66)) (v v64 (^ v0 v66))) (v v64 (^ v0 v66))))) (53 (paramod 51 (1 1) 52 (1 1 1 2)) ((= (^ (v v64 v66) (v v64 (^ v0 v66))) (v v64 (^ v0 v66))))) (54 (instantiate 53 ((v0 . v2)(v64 . v0)(v66 . v1))) ((= (^ (v v0 v1) (v v0 (^ v2 v1))) (v v0 (^ v2 v1))))) (55 (instantiate 27 ((v0 . (v v64 v65)))) ((= (^ (v v64 v65) (^ v1 (v v64 v65))) (^ (v v64 v65) v1)))) (56 (instantiate 44 ((v0 . v64)(v1 . v65)(v2 . (^ v1 (v v64 v65))))) ((= (v v64 (^ (v v64 v65) (^ v1 (v v64 v65)))) (^ (v v64 v65) (v v64 (^ v1 (v v64 v65))))))) (57 (paramod 55 (1 1) 56 (1 1 2)) ((= (v v64 (^ (v v64 v65) v1)) (^ (v v64 v65) (v v64 (^ v1 (v v64 v65))))))) (58 (instantiate 44 ((v0 . v64)(v1 . v65)(v2 . v1))) ((= (v v64 (^ (v v64 v65) v1)) (^ (v v64 v65) (v v64 v1))))) (59 (paramod 58 (1 1) 57 (1 1)) ((= (^ (v v64 v65) (v v64 v1)) (^ (v v64 v65) (v v64 (^ v1 (v v64 v65))))))) (60 (instantiate 50 ((v0 . v64)(v1 . v1)(v2 . v65))) ((= (v v64 (^ v1 (v v64 v65))) (v v64 (^ v1 v65))))) (61 (paramod 60 (1 1) 59 (1 2 2)) ((= (^ (v v64 v65) (v v64 v1)) (^ (v v64 v65) (v v64 (^ v1 v65)))))) (62 (instantiate 54 ((v0 . v64)(v1 . v65)(v2 . v1))) ((= (^ (v v64 v65) (v v64 (^ v1 v65))) (v v64 (^ v1 v65))))) (63 (paramod 62 (1 1) 61 (1 2)) ((= (^ (v v64 v65) (v v64 v1)) (v v64 (^ v1 v65))))) (64 (flip 63 (1)) ((= (v v64 (^ v1 v65)) (^ (v v64 v65) (v v64 v1))))) (65 (instantiate 64 ((v64 . v0)(v65 . v2))) ((= (v v0 (^ v1 v2)) (^ (v v0 v2) (v v0 v1))))) (66 (instantiate 65 ((v0 . (A))(v1 . (C))(v2 . (B)))) ((= (v (A) (^ (C) (B))) (^ (v (A) (B)) (v (A) (C)))))) (67 (resolve 46 (1) 66 (1)) ()) )