;; ----- Otter 3.0.4, August 1995 ----- ;; The job was started by mccune on gyro, Sun Feb 11 18:48:27 1996 ;; ;;;; 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*x=x. ;;;; x*y=y*x. ;;;; (x*y)*z=x* (y*z). ;;;; x* (x v y)=x. ;;;; x v (x*y)=x. ;;;; A^B!=A*B. ;; ;; ----> UNIT CONFLICT at 79.56 sec ----> 8187 [binary,8185.1,74.1] $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) ((= (^ v0 (v v0 v1)) v0))) (5 (input) ((= (v v0 (^ v0 v1)) v0))) (6 (input) ((= (* v0 v1) (* v1 v0)))) (7 (input) ((= (* (* v0 v1) v2) (* v0 (* v1 v2))))) (8 (input) ((= (* v0 (v v0 v1)) v0))) (9 (input) ((= (v v0 (* v0 v1)) v0))) (10 (input) ((not (= (^ (A) (B)) (* (A) (B)))))) (11 (instantiate 3 ((v0 . v64)(v1 . v65))) ((= (v v64 v65) (v v65 v64)))) (12 (instantiate 4 ((v0 . v64)(v1 . v65))) ((= (^ v64 (v v64 v65)) v64))) (13 (paramod 11 (1 1) 12 (1 1 2)) ((= (^ v64 (v v65 v64)) v64))) (14 (instantiate 13 ((v64 . v0)(v65 . v1))) ((= (^ v0 (v v1 v0)) v0))) (15 (instantiate 1 ((v0 . v64)(v1 . (v v64 v65)))) ((= (^ v64 (v v64 v65)) (^ (v v64 v65) v64)))) (16 (instantiate 4 ((v0 . v64)(v1 . v65))) ((= (^ v64 (v v64 v65)) v64))) (17 (paramod 15 (1 1) 16 (1 1)) ((= (^ (v v64 v65) v64) v64))) (18 (instantiate 17 ((v64 . v0)(v65 . v1))) ((= (^ (v v0 v1) v0) v0))) (19 (instantiate 2 ((v2 . v65))) ((= (^ (^ v0 v1) v65) (^ v0 (^ v1 v65))))) (20 (instantiate 5 ((v0 . (^ v0 v1))(v1 . v65))) ((= (v (^ v0 v1) (^ (^ v0 v1) v65)) (^ v0 v1)))) (21 (paramod 19 (1 1) 20 (1 1 2)) ((= (v (^ v0 v1) (^ v0 (^ v1 v65))) (^ v0 v1)))) (22 (instantiate 21 ((v65 . v2))) ((= (v (^ v0 v1) (^ v0 (^ v1 v2))) (^ v0 v1)))) (23 (instantiate 1 ((v0 . v64)(v1 . v65))) ((= (^ v64 v65) (^ v65 v64)))) (24 (instantiate 5 ((v0 . v64)(v1 . v65))) ((= (v v64 (^ v64 v65)) v64))) (25 (paramod 23 (1 1) 24 (1 1 2)) ((= (v v64 (^ v65 v64)) v64))) (26 (instantiate 25 ((v64 . v0)(v65 . v1))) ((= (v v0 (^ v1 v0)) v0))) (27 (instantiate 3 ((v0 . v64)(v1 . (^ v64 v65)))) ((= (v v64 (^ v64 v65)) (v (^ v64 v65) v64)))) (28 (instantiate 5 ((v0 . v64)(v1 . v65))) ((= (v v64 (^ v64 v65)) v64))) (29 (paramod 27 (1 1) 28 (1 1)) ((= (v (^ v64 v65) v64) v64))) (30 (instantiate 29 ((v64 . v0)(v65 . v1))) ((= (v (^ v0 v1) v0) v0))) (31 (instantiate 3 ((v0 . v64)(v1 . v65))) ((= (v v64 v65) (v v65 v64)))) (32 (instantiate 8 ((v0 . v64)(v1 . v65))) ((= (* v64 (v v64 v65)) v64))) (33 (paramod 31 (1 1) 32 (1 1 2)) ((= (* v64 (v v65 v64)) v64))) (34 (instantiate 33 ((v64 . v0)(v65 . v1))) ((= (* v0 (v v1 v0)) v0))) (35 (instantiate 6 ((v0 . v64)(v1 . (v v64 v65)))) ((= (* v64 (v v64 v65)) (* (v v64 v65) v64)))) (36 (instantiate 8 ((v0 . v64)(v1 . v65))) ((= (* v64 (v v64 v65)) v64))) (37 (paramod 35 (1 1) 36 (1 1)) ((= (* (v v64 v65) v64) v64))) (38 (instantiate 37 ((v64 . v0)(v65 . v1))) ((= (* (v v0 v1) v0) v0))) (39 (instantiate 6 ((v0 . v64)(v1 . v65))) ((= (* v64 v65) (* v65 v64)))) (40 (instantiate 9 ((v0 . v64)(v1 . v65))) ((= (v v64 (* v64 v65)) v64))) (41 (paramod 39 (1 1) 40 (1 1 2)) ((= (v v64 (* v65 v64)) v64))) (42 (instantiate 41 ((v64 . v0)(v65 . v1))) ((= (v v0 (* v1 v0)) v0))) (43 (instantiate 3 ((v0 . v64)(v1 . (* v64 v65)))) ((= (v v64 (* v64 v65)) (v (* v64 v65) v64)))) (44 (instantiate 9 ((v0 . v64)(v1 . v65))) ((= (v v64 (* v64 v65)) v64))) (45 (paramod 43 (1 1) 44 (1 1)) ((= (v (* v64 v65) v64) v64))) (46 (instantiate 45 ((v64 . v0)(v65 . v1))) ((= (v (* v0 v1) v0) v0))) (47 (instantiate 1 ((v0 . (A))(v1 . (B)))) ((= (^ (A) (B)) (^ (B) (A))))) (48 (paramod 47 (1 1) 10 (1 1 1)) ((not (= (^ (B) (A)) (* (A) (B)))))) (49 (instantiate 1 ((v0 . v64)(v1 . (v v65 v64)))) ((= (^ v64 (v v65 v64)) (^ (v v65 v64) v64)))) (50 (instantiate 14 ((v0 . v64)(v1 . v65))) ((= (^ v64 (v v65 v64)) v64))) (51 (paramod 49 (1 1) 50 (1 1)) ((= (^ (v v65 v64) v64) v64))) (52 (instantiate 51 ((v64 . v1)(v65 . v0))) ((= (^ (v v0 v1) v1) v1))) (53 (instantiate 3 ((v0 . v64)(v1 . (^ v65 v64)))) ((= (v v64 (^ v65 v64)) (v (^ v65 v64) v64)))) (54 (instantiate 26 ((v0 . v64)(v1 . v65))) ((= (v v64 (^ v65 v64)) v64))) (55 (paramod 53 (1 1) 54 (1 1)) ((= (v (^ v65 v64) v64) v64))) (56 (instantiate 55 ((v64 . v1)(v65 . v0))) ((= (v (^ v0 v1) v1) v1))) (57 (instantiate 7 ((v2 . (v v65 (* v0 v1))))) ((= (* (* v0 v1) (v v65 (* v0 v1))) (* v0 (* v1 (v v65 (* v0 v1))))))) (58 (instantiate 34 ((v0 . (* v0 v1))(v1 . v65))) ((= (* (* v0 v1) (v v65 (* v0 v1))) (* v0 v1)))) (59 (paramod 57 (1 1) 58 (1 1)) ((= (* v0 (* v1 (v v65 (* v0 v1)))) (* v0 v1)))) (60 (instantiate 59 ((v65 . v2))) ((= (* v0 (* v1 (v v2 (* v0 v1)))) (* v0 v1)))) (61 (instantiate 30 ((v0 . v65))) ((= (v (^ v65 v1) v65) v65))) (62 (instantiate 38 ((v0 . (^ v65 v1))(v1 . v65))) ((= (* (v (^ v65 v1) v65) (^ v65 v1)) (^ v65 v1)))) (63 (paramod 61 (1 1) 62 (1 1 1)) ((= (* v65 (^ v65 v1)) (^ v65 v1)))) (64 (instantiate 63 ((v65 . v0))) ((= (* v0 (^ v0 v1)) (^ v0 v1)))) (65 (instantiate 46 ((v0 . v65))) ((= (v (* v65 v1) v65) v65))) (66 (instantiate 18 ((v0 . (* v65 v1))(v1 . v65))) ((= (^ (v (* v65 v1) v65) (* v65 v1)) (* v65 v1)))) (67 (paramod 65 (1 1) 66 (1 1 1)) ((= (^ v65 (* v65 v1)) (* v65 v1)))) (68 (instantiate 67 ((v65 . v0))) ((= (^ v0 (* v0 v1)) (* v0 v1)))) (69 (instantiate 42 ((v0 . v64))) ((= (v v64 (* v1 v64)) v64))) (70 (instantiate 52 ((v0 . v64)(v1 . (* v1 v64)))) ((= (^ (v v64 (* v1 v64)) (* v1 v64)) (* v1 v64)))) (71 (paramod 69 (1 1) 70 (1 1 1)) ((= (^ v64 (* v1 v64)) (* v1 v64)))) (72 (instantiate 71 ((v64 . v0))) ((= (^ v0 (* v1 v0)) (* v1 v0)))) (73 (instantiate 56 ((v1 . v65))) ((= (v (^ v0 v65) v65) v65))) (74 (instantiate 38 ((v0 . (^ v0 v65))(v1 . v65))) ((= (* (v (^ v0 v65) v65) (^ v0 v65)) (^ v0 v65)))) (75 (paramod 73 (1 1) 74 (1 1 1)) ((= (* v65 (^ v0 v65)) (^ v0 v65)))) (76 (instantiate 75 ((v0 . v1)(v65 . v0))) ((= (* v0 (^ v1 v0)) (^ v1 v0)))) (77 (instantiate 68 ((v0 . v65))) ((= (^ v65 (* v65 v1)) (* v65 v1)))) (78 (instantiate 22 ((v0 . v64)(v1 . v65)(v2 . 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