;; ----- Otter 3.0.4, August 1995 ----- ;; The job was started by mccune on gyro, Wed Nov 1 22:14:31 1995 ;; ;;;; -> x=x. ;;;; B^A=A^B, (A^B)^C=A^ (B^C), A^ (A v B)=A, B v A=A v B, (A v B) v C=A v (B v C), A v (A^B)=A -> . ;;;; -> x^ (x v y)=x. ;;;; -> x^ (y v z)= (z^x) v (y^x). ;; ;; ----> UNIT CONFLICT at 71.49 sec ----> 6572 [binary,6570.1,3692.1] -> . ;; ( (1 (input) ((= v0 v0))) (2 (input) ((not (= (^ (B) (A)) (^ (A) (B)))) (not (= (^ (^ (A) (B)) (C)) (^ (A) (^ (B) (C))))) (not (= (^ (A) (v (A) (B))) (A))) (not (= (v (B) (A)) (v (A) (B)))) (not (= (v (v (A) (B)) (C)) (v (A) (v (B) (C))))) (not (= (v (A) (^ (A) (B))) (A))))) (3 (input) ((= (^ v0 (v v0 v1)) v0))) (4 (input) ((= (^ v0 (v v1 v2)) (v (^ v2 v0) (^ v1 v0))))) (5 (instantiate 3 ((v0 . (A))(v1 . 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(C)))) ((= (^ (^ (A) (B)) (C)) (^ (A) (^ (B) (C)))))) (280 (paramod 279 (1 1) 163 (1 1 1)) ((not (= (^ (A) (^ (B) (C))) (^ (A) (^ (B) (C))))) (not (= (v (v (A) (B)) (C)) (v (A) (v (B) (C))))))) (281 (instantiate 1 ((v0 . (^ (A) (^ (B) (C)))))) ((= (^ (A) (^ (B) (C))) (^ (A) (^ (B) (C)))))) (282 (resolve 280 (1) 281 (1)) ((not (= (v (v (A) (B)) (C)) (v (A) (v (B) (C))))))) (283 (instantiate 78 ((v0 . (A))(v1 . (B)))) ((= (v (A) (B)) (v (B) (A))))) (284 (paramod 283 (1 1) 282 (1 1 1 1)) ((not (= (v (v (B) (A)) (C)) (v (A) (v (B) (C))))))) (285 (instantiate 143 ((v0 . v65))) ((= (^ v65 (^ v1 v65)) (^ v1 v65)))) (286 (instantiate 177 ((v0 . v64)(v1 . v65)(v2 . (^ v1 v65)))) ((= (^ (v v64 (^ v65 (^ v1 v65))) (v v64 (^ v1 v65))) (^ (v v64 v65) (v v64 (^ v1 v65)))))) (287 (paramod 285 (1 1) 286 (1 1 1 2)) ((= (^ (v v64 (^ v1 v65)) (v v64 (^ v1 v65))) (^ (v v64 v65) (v v64 (^ v1 v65)))))) (288 (instantiate 60 ((v0 . 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(v v64 v66)))) ((= (^ (v v64 v66) (v v64 v66)) (v v64 v66)))) (296 (paramod 295 (1 1) 294 (1 1)) ((= (v v64 v66) (^ (v v64 (v v66 v1)) (v v64 v66))))) (297 (flip 296 (1)) ((= (^ (v v64 (v v66 v1)) (v v64 v66)) (v v64 v66)))) (298 (instantiate 297 ((v1 . v2)(v64 . v0)(v66 . v1))) ((= (^ (v v0 (v v1 v2)) (v v0 v1)) (v v0 v1)))) (299 (instantiate 100 ((v0 . (v v64 (^ v65 v66)))(v1 . (v v64 v66)))) ((= (^ (v v64 (^ v65 v66)) (v v64 v66)) (^ (v v64 v66) (v v64 (^ v65 v66)))))) (300 (instantiate 177 ((v0 . v64)(v1 . v65)(v2 . v66))) ((= (^ (v v64 (^ v65 v66)) (v v64 v66)) (^ (v v64 v65) (v v64 v66))))) (301 (paramod 299 (1 1) 300 (1 1)) ((= (^ (v v64 v66) (v v64 (^ v65 v66))) (^ (v v64 v65) (v v64 v66))))) (302 (instantiate 291 ((v0 . v64)(v1 . v66)(v2 . v65))) ((= (^ (v v64 v66) (v v64 (^ v65 v66))) (v v64 (^ v65 v66))))) (303 (paramod 302 (1 1) 301 (1 1)) ((= (v v64 (^ v65 v66)) (^ (v v64 v65) (v v64 v66))))) (304 (instantiate 303 ((v64 . v0)(v65 . v1)(v66 . v2))) ((= (v v0 (^ v1 v2)) (^ (v v0 v1) (v v0 v2))))) (305 (instantiate 304 ((v0 . v2)(v1 . v0)(v2 . v1))) ((= (v v2 (^ v0 v1)) (^ (v v2 v0) (v v2 v1))))) (306 (paramod 305 (1 1) 207 (1 1 2)) ((= (^ (v v2 v0) (^ (v v2 v0) (v v2 v1))) (v (^ v0 v1) v2)))) (307 (instantiate 181 ((v0 . (v v2 v0))(v1 . (v v2 v1)))) ((= (^ (v v2 v0) (^ (v v2 v0) (v v2 v1))) (^ (v v2 v0) (v v2 v1))))) (308 (paramod 307 (1 1) 306 (1 1)) ((= (^ (v v2 v0) (v v2 v1)) (v (^ v0 v1) v2)))) (309 (instantiate 308 ((v0 . v1)(v1 . v2)(v2 . v0))) ((= (^ (v v0 v1) (v v0 v2)) (v (^ v1 v2) v0)))) (310 (instantiate 78 ((v0 . v64)(v1 . (v v65 v66)))) ((= (v v64 (v v65 v66)) (v (v v65 v66) v64)))) (311 (instantiate 273 ((v0 . v64)(v1 . v65)(v2 . v66))) ((= (v v64 (v v65 v66)) (v v64 (v v66 v65))))) (312 (paramod 310 (1 1) 311 (1 1)) ((= (v (v v65 v66) v64) (v v64 (v v66 v65))))) (313 (instantiate 312 ((v64 . v2)(v65 . v0)(v66 . v1))) ((= (v (v v0 v1) v2) (v v2 (v v1 v0))))) (314 (instantiate 198 ((v0 . v65)(v1 . v64)(v2 . (v v64 (v v65 v66))))) ((= (^ (v v64 (v v65 v66)) (v v64 v65)) (^ (v v65 v64) (v v64 (v v65 v66)))))) (315 (instantiate 298 ((v0 . v64)(v1 . v65)(v2 . v66))) ((= (^ (v v64 (v v65 v66)) (v v64 v65)) (v v64 v65)))) (316 (paramod 314 (1 1) 315 (1 1)) ((= (^ (v v65 v64) (v v64 (v v65 v66))) (v v64 v65)))) (317 (instantiate 316 ((v64 . v1)(v65 . v0)(v66 . v2))) ((= (^ (v v0 v1) (v v1 (v v0 v2))) (v v1 v0)))) (318 (instantiate 298 ((v0 . v64))) ((= (^ (v v64 (v v1 v2)) (v v64 v1)) (v v64 v1)))) (319 (instantiate 202 ((v0 . v64)(v1 . (v v1 v2))(v2 . (v v64 v1)))) ((= (v (^ (v v64 (v v1 v2)) (v v64 v1)) (v v1 v2)) (^ (v v64 (v v1 v2)) (v (v v1 v2) (v v64 v1)))))) (320 (paramod 318 (1 1) 319 (1 1 1)) ((= (v (v v64 v1) (v v1 v2)) (^ (v v64 (v v1 v2)) (v (v v1 v2) (v v64 v1)))))) (321 (instantiate 317 ((v0 . v64)(v1 . (v v1 v2))(v2 . v1))) ((= (^ (v v64 (v v1 v2)) (v (v v1 v2) (v v64 v1))) (v (v v1 v2) v64)))) (322 (paramod 321 (1 1) 320 (1 2)) ((= (v (v v64 v1) (v v1 v2)) (v (v v1 v2) v64)))) (323 (instantiate 322 ((v64 . v0))) ((= (v (v v0 v1) (v v1 v2)) (v (v v1 v2) v0)))) (324 (instantiate 309 ((v0 . v64)(v1 . v65))) ((= (^ (v v64 v65) (v v64 v2)) (v (^ v65 v2) v64)))) (325 (instantiate 202 ((v0 . v64)(v1 . v65)(v2 . (v v64 v2)))) ((= (v (^ (v v64 v65) (v v64 v2)) v65) (^ (v v64 v65) (v v65 (v v64 v2)))))) (326 (paramod 324 (1 1) 325 (1 1 1)) ((= (v (v (^ v65 v2) v64) v65) (^ (v v64 v65) (v v65 (v v64 v2)))))) (327 (instantiate 317 ((v0 . v64)(v1 . v65)(v2 . v2))) ((= (^ (v v64 v65) (v v65 (v v64 v2))) (v v65 v64)))) (328 (paramod 327 (1 1) 326 (1 2)) ((= (v (v (^ v65 v2) v64) v65) (v v65 v64)))) (329 (instantiate 328 ((v2 . v1)(v64 . v2)(v65 . v0))) ((= (v (v (^ v0 v1) v2) v0) (v v0 v2)))) (330 (instantiate 122 ((v0 . v65))) ((= (^ (v v65 v1) v65) v65))) (331 (instantiate 329 ((v0 . (v v65 v1))(v1 . v65)(v2 . v66))) ((= (v (v (^ (v v65 v1) v65) v66) (v v65 v1)) (v (v v65 v1) v66)))) (332 (paramod 330 (1 1) 331 (1 1 1 1)) ((= (v (v v65 v66) (v v65 v1)) (v (v v65 v1) v66)))) (333 (instantiate 332 ((v1 . v2)(v65 . v0)(v66 . v1))) ((= (v (v v0 v1) (v v0 v2)) (v (v v0 v2) v1)))) (334 (flip 333 (1)) ((= (v (v v0 v2) v1) (v (v v0 v1) (v v0 v2))))) (335 (instantiate 313 ((v0 . v64)(v1 . v65)(v2 . (v v65 v66)))) ((= (v (v v64 v65) (v v65 v66)) (v (v v65 v66) (v v65 v64))))) (336 (instantiate 323 ((v0 . v64)(v1 . v65)(v2 . v66))) ((= (v (v v64 v65) (v v65 v66)) (v (v v65 v66) v64)))) (337 (paramod 335 (1 1) 336 (1 1)) ((= (v (v v65 v66) (v v65 v64)) (v (v v65 v66) v64)))) (338 (instantiate 337 ((v64 . v2)(v65 . v0)(v66 . v1))) ((= (v (v v0 v1) (v v0 v2)) (v (v v0 v1) v2)))) (339 (paramod 338 (1 1) 334 (1 2)) ((= (v (v v0 v2) v1) (v (v v0 v1) v2)))) (340 (instantiate 339 ((v1 . v2)(v2 . v1))) ((= (v (v v0 v1) v2) (v (v v0 v2) v1)))) (341 (instantiate 78 ((v0 . (v v64 v65))(v1 . v66))) ((= (v (v v64 v65) v66) (v v66 (v v64 v65))))) (342 (instantiate 340 ((v0 . v64)(v1 . v65)(v2 . v66))) ((= (v (v v64 v65) v66) (v (v v64 v66) v65)))) (343 (paramod 341 (1 1) 342 (1 1)) ((= (v v66 (v v64 v65)) (v (v v64 v66) v65)))) (344 (flip 343 (1)) ((= (v (v v64 v66) v65) (v v66 (v v64 v65))))) (345 (instantiate 344 ((v64 . v0)(v65 . v2)(v66 . v1))) ((= (v (v v0 v1) v2) (v v1 (v v0 v2))))) (346 (instantiate 345 ((v0 . (B))(v1 . (A))(v2 . (C)))) ((= (v (v (B) (A)) (C)) (v (A) (v (B) (C)))))) (347 (resolve 284 (1) 346 (1)) ()) )