;; ----- Otter 3.0.4, August 1995 -----
;; The job was started by mccune on gyro, Wed Nov  1 22:24:59 1995
;;
;;;;  -> x=x.
;;;;  -> 1*x=x.
;;;;  -> x@ *x=1.
;;;;  -> ((x*y)*z)*y=x* (y* (z*y)).
;;;; A*1=A, B*B@ =1, C*x=D, y*E=F -> .
;;
;; -----> EMPTY CLAUSE at   7.45 sec ----> 995 [hyper,56,207.1,909.1]  -> .
;;
(
(1 (input) ((= v0 v0)))
(2 (input) ((= (* (1) v0) v0)))
(3 (input) ((= (* (@ v0) v0) (1))))
(4 (input) ((= (* (* (* v0 v1) v2) v1) (* v0 (* v1 (* v2 v1))))))
(5 (input) ((not (= (* (A) (1)) (A))) (not (= (* (B) (@ (B))) (1))) (not (= (* (C) v0) (D))) (not (= (* v1 (E)) (F)))))
(6 (instantiate 3 ((v0 . v65))) ((= (* (@ v65) v65) (1))))
(7 (instantiate 4 ((v0 . (@ v65))(v1 . v65)(v2 . v66))) ((= (* (* (* (@ v65) v65) v66) v65) (* (@ v65) (* v65 (* v66 v65))))))
(8 (paramod 6 (1 1) 7 (1 1 1 1)) ((= (* (* (1) v66) v65) (* (@ v65) (* v65 (* v66 v65))))))
(9 (instantiate 2 ((v0 . v66))) ((= (* (1) v66) v66)))
(10 (paramod 9 (1 1) 8 (1 1 1)) ((= (* v66 v65) (* (@ v65) (* v65 (* v66 v65))))))
(11 (flip 10 (1)) ((= (* (@ v65) (* v65 (* v66 v65))) (* v66 v65))))
(12 (instantiate 11 ((v65 . v0)(v66 . v1))) ((= (* (@ v0) (* v0 (* v1 v0))) (* v1 v0))))
(13 (instantiate 2 ((v0 . v65))) ((= (* (1) v65) v65)))
(14 (instantiate 4 ((v0 . (1))(v1 . v65)(v2 . v66))) ((= (* (* (* (1) v65) v66) v65) (* (1) (* v65 (* v66 v65))))))
(15 (paramod 13 (1 1) 14 (1 1 1 1)) ((= (* (* v65 v66) v65) (* (1) (* v65 (* v66 v65))))))
(16 (instantiate 2 ((v0 . (* v65 (* v66 v65))))) ((= (* (1) (* v65 (* v66 v65))) (* v65 (* v66 v65)))))
(17 (paramod 16 (1 1) 15 (1 2)) ((= (* (* v65 v66) v65) (* v65 (* v66 v65)))))
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(21 (paramod 19 (1 1) 20 (1 1 1)) ((= (* (* v0 (* v66 (* v65 v66))) v65) (* (* v0 v66) (* v65 (* v66 v65))))))
(22 (instantiate 21 ((v65 . v2)(v66 . v1))) ((= (* (* v0 (* v1 (* v2 v1))) v2) (* (* v0 v1) (* v2 (* v1 v2))))))
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(25 (paramod 23 (1 1) 24 (1 1 1)) ((= (* (1) (@ v65)) (* (@ v65) (* v65 (@ v65))))))
(26 (instantiate 2 ((v0 . (@ v65)))) ((= (* (1) (@ v65)) (@ v65))))
(27 (paramod 26 (1 1) 25 (1 1)) ((= (@ v65) (* (@ v65) (* v65 (@ v65))))))
(28 (flip 27 (1)) ((= (* (@ v65) (* v65 (@ v65))) (@ v65))))
(29 (instantiate 28 ((v65 . v0))) ((= (* (@ v0) (* v0 (@ v0))) (@ v0))))
(30 (instantiate 18 ((v0 . v66)(v1 . v65))) ((= (* (* v66 v65) v66) (* v66 (* v65 v66)))))
(31 (instantiate 4 ((v0 . v66)(v1 . v65)(v2 . v66))) ((= (* (* (* v66 v65) v66) v65) (* v66 (* v65 (* v66 v65))))))
(32 (paramod 30 (1 1) 31 (1 1 1)) ((= (* (* v66 (* v65 v66)) v65) (* v66 (* v65 (* v66 v65))))))
(33 (instantiate 32 ((v65 . v1)(v66 . v0))) ((= (* (* v0 (* v1 v0)) v1) (* v0 (* v1 (* v0 v1))))))
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(42 (paramod 40 (1 1) 41 (1 1 2 2)) ((= (* (@ v64) (* v64 (* v0 (* v64 (* v2 v64))))) (* (* (* v0 v64) v2) v64))))
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(193 (instantiate 185 ((v0 . v64))) ((= (* (@ (* v64 v64)) v64) (@ v64))))
(194 (paramod 193 (1 1) 192 (1 2 2 2)) ((= (* (@ v64) (* v64 v65)) (* v65 (* v64 (@ v64))))))
(195 (instantiate 58 ((v0 . v64))) ((= (* v64 (@ v64)) (1))))
(196 (paramod 195 (1 1) 194 (1 2 2)) ((= (* (@ v64) (* v64 v65)) (* v65 (1)))))
(197 (instantiate 78 ((v0 . v65))) ((= (* v65 (1)) v65)))
(198 (paramod 197 (1 1) 196 (1 2)) ((= (* (@ v64) (* v64 v65)) v65)))
(199 (instantiate 198 ((v64 . v0)(v65 . v1))) ((= (* (@ v0) (* v0 v1)) v1)))
(200 (instantiate 45 ((v0 . (@ v0))(v1 . v65)(v2 . (* v0 v0)))) ((= (* (@ (@ v0)) (* (@ v0) (* v65 (* (@ v0) (* (* v0 v0) (@ v0)))))) (* v65 (* (@ v0) (* (* v0 v0) (@ v0)))))))
(201 (paramod 170 (1 1) 200 (1 1 2 2 2 2)) ((= (* (@ (@ v0)) (* (@ v0) (* v65 (* (@ v0) v0)))) (* v65 (* (@ v0) (* (* v0 v0) (@ v0)))))))
(202 (paramod 171 (1 1) 201 (1 1 1)) ((= (* v0 (* (@ v0) (* v65 (* (@ v0) v0)))) (* v65 (* (@ v0) (* (* v0 v0) (@ v0)))))))
(203 (paramod 3 (1 1) 202 (1 1 2 2 2)) ((= (* v0 (* (@ v0) (* v65 (1)))) (* v65 (* (@ v0) (* (* v0 v0) (@ v0)))))))
(204 (instantiate 78 ((v0 . v65))) ((= (* v65 (1)) v65)))
(205 (paramod 204 (1 1) 203 (1 1 2 2)) ((= (* v0 (* (@ v0) v65)) (* v65 (* (@ v0) (* (* v0 v0) (@ v0)))))))
(206 (paramod 170 (1 1) 205 (1 2 2 2)) ((= (* v0 (* (@ v0) v65)) (* v65 (* (@ v0) v0)))))
(207 (paramod 3 (1 1) 206 (1 2 2)) ((= (* v0 (* (@ v0) v65)) (* v65 (1)))))
(208 (instantiate 78 ((v0 . v65))) ((= (* v65 (1)) v65)))
(209 (paramod 208 (1 1) 207 (1 2)) ((= (* v0 (* (@ v0) v65)) v65)))
(210 (instantiate 209 ((v65 . v1))) ((= (* v0 (* (@ v0) v1)) v1)))
(211 (instantiate 69 ((v0 . v64))) ((= (* v64 (* v1 (* (@ (* v64 v1)) v1))) v1)))
(212 (instantiate 199 ((v0 . v64)(v1 . (* v1 (* (@ (* v64 v1)) v1))))) ((= (* (@ v64) (* v64 (* v1 (* (@ (* v64 v1)) v1)))) (* v1 (* (@ (* v64 v1)) v1)))))
(213 (paramod 211 (1 1) 212 (1 1 2)) ((= (* (@ v64) v1) (* v1 (* (@ (* v64 v1)) v1)))))
(214 (flip 213 (1)) ((= (* v1 (* (@ (* v64 v1)) v1)) (* (@ v64) v1))))
(215 (instantiate 214 ((v1 . v0)(v64 . v1))) ((= (* v0 (* (@ (* v1 v0)) v0)) (* (@ v1) v0))))
(216 (instantiate 215 ((v0 . v1)(v1 . v0))) ((= (* v1 (* (@ (* v0 v1)) v1)) (* (@ v0) v1))))
(217 (paramod 216 (1 1) 147 (1 1 2 1)) ((= (* v0 (* (* (@ v0) v1) v0)) (* v1 v0))))
(218 (instantiate 217 ((v0 . (@ v64)))) ((= (* (@ v64) (* (* (@ (@ v64)) v1) (@ v64))) (* v1 (@ v64)))))
(219 (instantiate 210 ((v0 . v64)(v1 . (* (* (@ (@ v64)) v1) (@ v64))))) ((= (* v64 (* (@ v64) (* (* (@ (@ v64)) v1) (@ v64)))) (* (* (@ (@ v64)) v1) (@ v64)))))
(220 (paramod 218 (1 1) 219 (1 1 2)) ((= (* v64 (* v1 (@ v64))) (* (* (@ (@ v64)) v1) (@ v64)))))
(221 (instantiate 171 ((v0 . v64))) ((= (@ (@ v64)) v64)))
(222 (paramod 221 (1 1) 220 (1 2 1 1)) ((= (* v64 (* v1 (@ v64))) (* (* v64 v1) (@ v64)))))
(223 (flip 222 (1)) ((= (* (* v64 v1) (@ v64)) (* v64 (* v1 (@ v64))))))
(224 (instantiate 223 ((v64 . v0))) ((= (* (* v0 v1) (@ v0)) (* v0 (* v1 (@ v0))))))
(225 (instantiate 217 ((v0 . v64))) ((= (* v64 (* (* (@ v64) v1) v64)) (* v1 v64))))
(226 (instantiate 33 ((v0 . v64)(v1 . (* (@ v64) v1)))) ((= (* (* v64 (* (* (@ v64) v1) v64)) (* (@ v64) v1)) (* v64 (* (* (@ v64) v1) (* v64 (* (@ v64) v1)))))))
(227 (paramod 225 (1 1) 226 (1 1 1)) ((= (* (* v1 v64) (* (@ v64) v1)) (* v64 (* (* (@ v64) v1) (* v64 (* (@ v64) v1)))))))
(228 (instantiate 210 ((v0 . v64)(v1 . v1))) ((= (* v64 (* (@ v64) v1)) v1)))
(229 (paramod 228 (1 1) 227 (1 2 2 2)) ((= (* (* v1 v64) (* (@ v64) v1)) (* v64 (* (* (@ v64) v1) v1)))))
(230 (instantiate 100 ((v0 . (@ v64))(v1 . v1))) ((= (* (* (@ v64) v1) v1) (* (@ v64) (* v1 v1)))))
(231 (paramod 230 (1 1) 229 (1 2 2)) ((= (* (* v1 v64) (* (@ v64) v1)) (* v64 (* (@ v64) (* v1 v1))))))
(232 (instantiate 210 ((v0 . v64)(v1 . (* v1 v1)))) ((= (* v64 (* (@ v64) (* v1 v1))) (* v1 v1))))
(233 (paramod 232 (1 1) 231 (1 2)) ((= (* (* v1 v64) (* (@ v64) v1)) (* v1 v1))))
(234 (instantiate 233 ((v1 . v0)(v64 . v1))) ((= (* (* v0 v1) (* (@ v1) v0)) (* v0 v0))))
(235 (instantiate 217 ((v0 . v64))) ((= (* v64 (* (* (@ v64) v1) v64)) (* v1 v64))))
(236 (instantiate 199 ((v0 . v64)(v1 . (* (* (@ v64) v1) v64)))) ((= (* (@ v64) (* v64 (* (* (@ v64) v1) v64))) (* (* (@ v64) v1) v64))))
(237 (paramod 235 (1 1) 236 (1 1 2)) ((= (* (@ v64) (* v1 v64)) (* (* (@ v64) v1) v64))))
(238 (flip 237 (1)) ((= (* (* (@ v64) v1) v64) (* (@ v64) (* v1 v64)))))
(239 (instantiate 238 ((v64 . v0))) ((= (* (* (@ v0) v1) v0) (* (@ v0) (* v1 v0)))))
(240 (instantiate 234 ((v0 . v64)(v1 . v65))) ((= (* (* v64 v65) (* (@ v65) v64)) (* v64 v64))))
(241 (instantiate 4 ((v0 . v64)(v1 . v65)(v2 . (* (@ v65) v64)))) ((= (* (* (* v64 v65) (* (@ v65) v64)) v65) (* v64 (* v65 (* (* (@ v65) v64) v65))))))
(242 (paramod 240 (1 1) 241 (1 1 1)) ((= (* (* v64 v64) v65) (* v64 (* v65 (* (* (@ v65) v64) v65))))))
(243 (instantiate 239 ((v0 . v65)(v1 . v64))) ((= (* (* (@ v65) v64) v65) (* (@ v65) (* v64 v65)))))
(244 (paramod 243 (1 1) 242 (1 2 2 2)) ((= (* (* v64 v64) v65) (* v64 (* v65 (* (@ v65) (* v64 v65)))))))
(245 (instantiate 210 ((v0 . v65)(v1 . (* v64 v65)))) ((= (* v65 (* (@ v65) (* v64 v65))) (* v64 v65))))
(246 (paramod 245 (1 1) 244 (1 2 2)) ((= (* (* v64 v64) v65) (* v64 (* v64 v65)))))
(247 (instantiate 246 ((v64 . v0)(v65 . v1))) ((= (* (* v0 v0) v1) (* v0 (* v0 v1)))))
(248 (instantiate 131 ((v0 . v64))) ((= (* (* v64 (@ v1)) (* v1 (* v1 v1))) (* v64 (* v1 v1)))))
(249 (instantiate 4 ((v0 . v64)(v1 . (@ v1))(v2 . (* v1 (* v1 v1))))) ((= (* (* (* v64 (@ v1)) (* v1 (* v1 v1))) (@ v1)) (* v64 (* (@ v1) (* (* v1 (* v1 v1)) (@ v1)))))))
(250 (paramod 248 (1 1) 249 (1 1 1)) ((= (* (* v64 (* v1 v1)) (@ v1)) (* v64 (* (@ v1) (* (* v1 (* v1 v1)) (@ v1)))))))
(251 (instantiate 224 ((v0 . v1)(v1 . (* v1 v1)))) ((= (* (* v1 (* v1 v1)) (@ v1)) (* v1 (* (* v1 v1) (@ v1))))))
(252 (paramod 251 (1 1) 250 (1 2 2 2)) ((= (* (* v64 (* v1 v1)) (@ v1)) (* v64 (* (@ v1) (* v1 (* (* v1 v1) (@ v1))))))))
(253 (instantiate 247 ((v0 . v1)(v1 . (@ v1)))) ((= (* (* v1 v1) (@ v1)) (* v1 (* v1 (@ v1))))))
(254 (paramod 253 (1 1) 252 (1 2 2 2 2)) ((= (* (* v64 (* v1 v1)) (@ v1)) (* v64 (* (@ v1) (* v1 (* v1 (* v1 (@ v1)))))))))
(255 (instantiate 58 ((v0 . v1))) ((= (* v1 (@ v1)) (1))))
(256 (paramod 255 (1 1) 254 (1 2 2 2 2 2)) ((= (* (* v64 (* v1 v1)) (@ v1)) (* v64 (* (@ v1) (* v1 (* v1 (1))))))))
(257 (instantiate 78 ((v0 . v1))) ((= (* v1 (1)) v1)))
(258 (paramod 257 (1 1) 256 (1 2 2 2 2)) ((= (* (* v64 (* v1 v1)) (@ v1)) (* v64 (* (@ v1) (* v1 v1))))))
(259 (instantiate 199 ((v0 . v1)(v1 . v1))) ((= (* (@ v1) (* v1 v1)) v1)))
(260 (paramod 259 (1 1) 258 (1 2 2)) ((= (* (* v64 (* v1 v1)) (@ v1)) (* v64 v1))))
(261 (instantiate 260 ((v64 . v0))) ((= (* (* v0 (* v1 v1)) (@ v1)) (* v0 v1))))
(262 (instantiate 4 ((v1 . (@ v65))(v2 . (* v65 v65)))) ((= (* (* (* v0 (@ v65)) (* v65 v65)) (@ v65)) (* v0 (* (@ v65) (* (* v65 v65) (@ v65)))))))
(263 (instantiate 261 ((v0 . (* v0 (@ v65)))(v1 . v65))) ((= (* (* (* v0 (@ v65)) (* v65 v65)) (@ v65)) (* (* v0 (@ v65)) v65))))
(264 (paramod 262 (1 1) 263 (1 1)) ((= (* v0 (* (@ v65) (* (* v65 v65) (@ v65)))) (* (* v0 (@ v65)) v65))))
(265 (instantiate 247 ((v0 . v65)(v1 . (@ v65)))) ((= (* (* v65 v65) (@ v65)) (* v65 (* v65 (@ v65))))))
(266 (paramod 265 (1 1) 264 (1 1 2 2)) ((= (* v0 (* (@ v65) (* v65 (* v65 (@ v65))))) (* (* v0 (@ v65)) v65))))
(267 (instantiate 58 ((v0 . v65))) ((= (* v65 (@ v65)) (1))))
(268 (paramod 267 (1 1) 266 (1 1 2 2 2)) ((= (* v0 (* (@ v65) (* v65 (1)))) (* (* v0 (@ v65)) v65))))
(269 (instantiate 78 ((v0 . v65))) ((= (* v65 (1)) v65)))
(270 (paramod 269 (1 1) 268 (1 1 2 2)) ((= (* v0 (* (@ v65) v65)) (* (* v0 (@ v65)) v65))))
(271 (instantiate 3 ((v0 . v65))) ((= (* (@ v65) v65) (1))))
(272 (paramod 271 (1 1) 270 (1 1 2)) ((= (* v0 (1)) (* (* v0 (@ v65)) v65))))
(273 (paramod 78 (1 1) 272 (1 1)) ((= v0 (* (* v0 (@ v65)) v65))))
(274 (flip 273 (1)) ((= (* (* v0 (@ v65)) v65) v0)))
(275 (instantiate 274 ((v65 . v1))) ((= (* (* v0 (@ v1)) v1) v0)))
(276 (instantiate 89 ((v0 . (* (@ (C)) (D))))) ((not (= (* (C) (* (@ (C)) (D))) (D))) (not (= (* v1 (E)) (F)))))
(277 (instantiate 210 ((v0 . (C))(v1 . (D)))) ((= (* (C) (* (@ (C)) (D))) (D))))
(278 (resolve 276 (1) 277 (1)) ((not (= (* v1 (E)) (F)))))
(279 (instantiate 278 ((v1 . v0))) ((not (= (* v0 (E)) (F)))))
(280 (instantiate 279 ((v0 . (* (F) (@ (E)))))) ((not (= (* (* (F) (@ (E))) (E)) (F)))))
(281 (instantiate 275 ((v0 . (F))(v1 . (E)))) ((= (* (* (F) (@ (E))) (E)) (F))))
(282 (resolve 280 (1) 281 (1)) ())
)
