;; ----- Otter 3.0.4, August 1995 ----- ;; The job was started by mccune on gyro, Wed Nov 1 21:56:45 1995 ;; ;;;; -> x=x. ;;;; (A*B)+ (A*C)=A* (B+C), (A*B)+B=B -> . ;;;; -> (x*y)+ ((y*z)+ (z*x))= (x+y)* ((y+z)* (z+x)). ;;;; -> y+ (x* (y*z))=y. ;;;; -> ((x*y)+ (y*z))+y=y. ;;;; -> (x+x@ )*y=y. ;;;; -> y* (x+ (y+z))=y. ;;;; -> ((x+y)* (y+z))*y=y. ;;;; -> (x*x@ )+y=y. ;;;; -> x+x@ =1. ;;;; -> x*x@ =0. ;;;; -> (x+y)+z=x+ (y+z). ;;;; -> (x*y)*z=x* (y*z). ;; ;; ----> UNIT CONFLICT at 24.59 sec ----> 4972 [binary,4971.1,134.1] -> . ;; ( (1 (input) ((= v0 v0))) (2 (input) ((not (= (+ (* (A) (B)) (* (A) (C))) (* (A) (+ (B) (C))))) (not (= (+ (* (A) (B)) (B)) (B))))) (3 (input) ((= (+ (* v0 v1) (+ (* v1 v2) (* v2 v0))) (* (+ v0 v1) (* (+ v1 v2) (+ v2 v0)))))) (4 (input) ((= (+ v0 (* v1 (* v0 v2))) v0))) (5 (input) ((= (+ (+ (* v0 v1) (* v1 v2)) v1) v1))) (6 (input) ((= (* (+ v0 (@ v0)) v1) v1))) (7 (input) ((= (* v0 (+ v1 (+ v0 v2))) v0))) (8 (input) ((= (+ (* v0 (@ v0)) v1) v1))) (9 (input) ((= (+ v0 (@ v0)) (1)))) (10 (input) ((= (* v0 (@ v0)) (0)))) (11 (input) ((= (+ (+ v0 v1) v2) (+ v0 (+ v1 v2))))) (12 (input) ((= (* (* v0 v1) v2) (* v0 (* v1 v2))))) (13 (paramod 9 (1 1) 6 (1 1 1)) ((= (* (1) v1) v1))) (14 (instantiate 13 ((v1 . v0))) ((= (* (1) v0) v0))) (15 (paramod 10 (1 1) 8 (1 1 1)) ((= (+ (0) v1) v1))) (16 (instantiate 15 ((v1 . v0))) ((= (+ (0) v0) v0))) (17 (instantiate 11 ((v0 . 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(+ v65 (* v64 v1))))) ((= (* (+ v64 v65) (* (+ v65 (* v64 v1)) v64)) (* (+ v65 (* v64 v1)) v64)))) (514 (paramod 513 (1 1) 512 (1 2)) ((= (* v64 (+ (* v64 v65) v1)) (* (+ v65 (* v64 v1)) v64)))) (515 (instantiate 514 ((v1 . v2)(v64 . v0)(v65 . v1))) ((= (* v0 (+ (* v0 v1) v2)) (* (+ v1 (* v0 v2)) v0)))) (516 (instantiate 515 ((v0 . v0)(v1 . v1)(v2 . (* v2 (@ v1))))) ((= (* v0 (+ (* v0 v1) (* v2 (@ v1)))) (* (+ v1 (* v0 (* v2 (@ v1)))) v0)))) (517 (paramod 516 (1 1) 503 (1 1)) ((= (* (+ v1 (* v0 (* v2 (@ v1)))) v0) (* (+ v1 v2) v0)))) (518 (instantiate 456 ((v0 . v1)(v1 . v0)(v2 . v2))) ((= (+ v1 (* v0 (* v2 (@ v1)))) (+ v1 (* v0 v2))))) (519 (paramod 518 (1 1) 517 (1 1 1)) ((= (* (+ v1 (* v0 v2)) v0) (* (+ v1 v2) v0)))) (520 (instantiate 519 ((v0 . v1)(v1 . v0))) ((= (* (+ v0 (* v1 v2)) v1) (* (+ v0 v2) v1)))) (521 (instantiate 515 ((v0 . (A))(v1 . (B))(v2 . (C)))) ((= (* (A) (+ (* (A) (B)) (C))) (* (+ (B) (* (A) (C))) (A))))) (522 (paramod 521 (1 1) 448 (1 1 1)) ((not (= (* (+ (B) (* (A) (C))) (A)) (* (A) (+ (B) (C))))))) (523 (instantiate 520 ((v0 . (B))(v1 . (A))(v2 . (C)))) ((= (* (+ (B) (* (A) (C))) (A)) (* (+ (B) (C)) (A))))) (524 (paramod 523 (1 1) 522 (1 1 1)) ((not (= (* (+ (B) (C)) (A)) (* (A) (+ (B) (C))))))) (525 (instantiate 155 ((v0 . (+ (B) (C)))(v1 . (A)))) ((= (* (+ (B) (C)) (A)) (* (A) (+ (B) (C)))))) (526 (resolve 524 (1) 525 (1)) ()) )