;; ----- Otter 3.0.4, August 1995 ----- ;; The job was started by mccune on gyro, Sun Feb 11 18:41:31 1996 ;; ;;;; -> x=x. ;;;; A+ (B*C)= (A+B)* (A+C), (A*B)+B=B, B*B@ =A*A@ -> . ;;;; -> (x+y)*y=y. ;;;; -> x* (y+z)= (x*y)+ (x*z). ;;;; -> x+x@ =1. ;;;; -> p(x,y,z)= (x*y@ )+ ((x*z)+ (y@ *z)). ;;;; -> p(x,x,y)=y. ;;;; -> p(x,y,y)=x. ;;;; -> p(x,y,x)=x. ;; ;; ----> UNIT CONFLICT at 3.81 sec ----> 240 [binary,239.1,226.1] -> . ;; ( (1 (input) ((= v0 v0))) (2 (input) ((not (= (+ (A) (* (B) (C))) (* (+ (A) (B)) (+ (A) (C))))) (not (= (+ (* (A) (B)) (B)) (B))) (not (= (* (B) (@ (B))) (* (A) (@ (A))))))) (3 (input) ((= (* (+ v0 v1) v1) v1))) (4 (input) ((= (* v0 (+ v1 v2)) (+ (* v0 v1) (* v0 v2))))) (5 (flip 4 (1)) ((= (+ (* v0 v1) (* v0 v2)) (* v0 (+ v1 v2))))) (6 (input) ((= (+ v0 (@ v0)) (1)))) (7 (input) ((= (p v0 v1 v2) (+ (* v0 (@ v1)) (+ (* v0 v2) (* (@ v1) v2)))))) (8 (input) ((= (p v0 v0 v1) v1))) (9 (instantiate 7 ((v0 . v0)(v1 . v0)(v2 . v1))) ((= (p v0 v0 v1) (+ (* v0 (@ v0)) (+ (* v0 v1) (* (@ v0) v1)))))) (10 (paramod 9 (1 1) 8 (1 1)) ((= (+ (* v0 (@ v0)) (+ (* v0 v1) (* (@ v0) v1))) v1))) (11 (input) ((= (p v0 v1 v1) v0))) (12 (instantiate 7 ((v0 . v0)(v1 . v1)(v2 . v1))) ((= (p v0 v1 v1) (+ (* v0 (@ v1)) (+ (* v0 v1) (* (@ v1) v1)))))) (13 (paramod 12 (1 1) 11 (1 1)) ((= (+ (* v0 (@ v1)) (+ (* v0 v1) (* (@ v1) v1))) v0))) (14 (instantiate 6 ((v0 . v64))) ((= (+ v64 (@ v64)) (1)))) (15 (instantiate 3 ((v0 . v64)(v1 . 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(+ v64 v1))(v2 . v66))) ((= (+ (* v64 (+ v64 v1)) (* (+ v64 v1) v66)) (* (+ v64 v1) (+ (* v64 (+ v64 v1)) v66))))) (360 (paramod 358 (1 1) 359 (1 1 1)) ((= (+ v64 (* (+ v64 v1) v66)) (* (+ v64 v1) (+ (* v64 (+ v64 v1)) v66))))) (361 (instantiate 296 ((v0 . v64)(v1 . v1))) ((= (* v64 (+ v64 v1)) v64))) (362 (paramod 361 (1 1) 360 (1 2 2 1)) ((= (+ v64 (* (+ v64 v1) v66)) (* (+ v64 v1) (+ v64 v66))))) (363 (instantiate 362 ((v64 . v0)(v66 . v2))) ((= (+ v0 (* (+ v0 v1) v2)) (* (+ v0 v1) (+ v0 v2))))) (364 (instantiate 351 ((v0 . v64)(v1 . v66)(v2 . v64))) ((= (+ (* v64 v66) (* v66 v64)) (* v66 (+ (* v64 v66) v64))))) (365 (instantiate 357 ((v0 . v64)(v1 . v66)(v2 . v66))) ((= (+ (* v64 v66) (* v66 v64)) (* v64 (+ v66 (* v66 v64)))))) (366 (paramod 364 (1 1) 365 (1 1)) ((= (* v66 (+ (* v64 v66) v64)) (* v64 (+ v66 (* v66 v64)))))) (367 (instantiate 202 ((v0 . v64)(v1 . v66))) ((= (+ (* v64 v66) v64) v64))) (368 (paramod 367 (1 1) 366 (1 1 2)) ((= (* v66 v64) (* v64 (+ v66 (* v66 v64)))))) (369 (instantiate 299 ((v0 . v66)(v1 . v64))) ((= (+ v66 (* v66 v64)) v66))) (370 (paramod 369 (1 1) 368 (1 2 2)) ((= (* v66 v64) (* v64 v66)))) (371 (instantiate 370 ((v64 . v1)(v66 . v0))) ((= (* v0 v1) (* v1 v0)))) (372 (instantiate 371 ((v0 . v65)(v1 . (+ v64 v66)))) ((= (* v65 (+ v64 v66)) (* (+ v64 v66) v65)))) (373 (instantiate 345 ((v0 . v64)(v1 . v65)(v2 . v66))) ((= (+ v64 (* v65 (+ v64 v66))) (+ v64 (* v65 v66))))) (374 (paramod 372 (1 1) 373 (1 1 2)) ((= (+ v64 (* (+ v64 v66) v65)) (+ v64 (* v65 v66))))) (375 (instantiate 363 ((v0 . v64)(v1 . v66)(v2 . v65))) ((= (+ v64 (* (+ v64 v66) v65)) (* (+ v64 v66) (+ v64 v65))))) (376 (paramod 375 (1 1) 374 (1 1)) ((= (* (+ v64 v66) (+ v64 v65)) (+ v64 (* v65 v66))))) (377 (flip 376 (1)) ((= (+ v64 (* v65 v66)) (* (+ v64 v66) (+ v64 v65))))) (378 (instantiate 377 ((v64 . v0)(v65 . v1)(v66 . v2))) ((= (+ v0 (* v1 v2)) (* (+ v0 v2) (+ v0 v1))))) (379 (instantiate 378 ((v0 . (A))(v1 . (B))(v2 . (C)))) ((= (+ (A) (* (B) (C))) (* (+ (A) (C)) (+ (A) (B)))))) (380 (paramod 379 (1 1) 330 (1 1 1)) ((not (= (* (+ (A) (C)) (+ (A) (B))) (* (+ (A) (B)) (+ (A) (C))))))) (381 (instantiate 371 ((v0 . (+ (A) (C)))(v1 . (+ (A) (B))))) ((= (* (+ (A) (C)) (+ (A) (B))) (* (+ (A) (B)) (+ (A) (C)))))) (382 (resolve 380 (1) 381 (1)) ()) )