TSTP Solution File: LCL491+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : LCL491+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:33:23 EDT 2023
% Result : Theorem 0.21s 1.32s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : LCL491+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.09 % Command : nanocop.sh %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Thu May 18 15:51:04 EDT 2023
% 0.09/0.28 % CPUTime :
% 0.21/1.32
% 0.21/1.32 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.21/1.32 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/1.32 %-----------------------------------------------------
% 0.21/1.32 ncf(matrix, plain, [(517 ^ _60474) ^ [] : [or_2], (20 ^ _60474) ^ [_61222, _61224] : [-(is_a_theorem(_61222)), _61224 = _61222, is_a_theorem(_61224)], (2 ^ _60474) ^ [_60618] : [-(_60618 = _60618)], (4 ^ _60474) ^ [_60725, _60727] : [_60727 = _60725, -(_60725 = _60727)], (10 ^ _60474) ^ [_60929, _60931, _60933] : [-(_60933 = _60929), _60933 = _60931, _60931 = _60929], (30 ^ _60474) ^ [_61547, _61549, _61551, _61553] : [-(or(_61553, _61549) = or(_61551, _61547)), _61553 = _61551, _61549 = _61547], (40 ^ _60474) ^ [_61878, _61880] : [_61880 = _61878, -((not _61880) = (not _61878))], (46 ^ _60474) ^ [_62124, _62126, _62128, _62130] : [-(equiv(_62130, _62126) = equiv(_62128, _62124)), _62130 = _62128, _62126 = _62124], (56 ^ _60474) ^ [_62483, _62485, _62487, _62489] : [-(and(_62489, _62485) = and(_62487, _62483)), _62489 = _62487, _62485 = _62483], (66 ^ _60474) ^ [_62822, _62824, _62826, _62828] : [-(implies(_62828, _62824) = implies(_62826, _62822)), _62828 = _62826, _62824 = _62822], (491 ^ _60474) ^ [] : [-(op_implies_or)], (493 ^ _60474) ^ [] : [-(op_and)], (495 ^ _60474) ^ [] : [-(op_equiv)], (497 ^ _60474) ^ [] : [-(modus_ponens)], (499 ^ _60474) ^ [] : [-(r1)], (501 ^ _60474) ^ [] : [-(r2)], (503 ^ _60474) ^ [] : [-(r3)], (505 ^ _60474) ^ [] : [-(r4)], (507 ^ _60474) ^ [] : [-(r5)], (509 ^ _60474) ^ [] : [-(substitution_of_equivalents)], (511 ^ _60474) ^ [] : [-(op_or)], (513 ^ _60474) ^ [] : [-(op_implies_and)], (515 ^ _60474) ^ [] : [-(op_equiv)], (461 ^ _60474) ^ [] : [op_or, 464 ^ _60474 : [(465 ^ _60474) ^ [_74476, _74478] : [-(or(_74478, _74476) = (not and(not _74478, not _74476)))]]], (467 ^ _60474) ^ [] : [op_and, 470 ^ _60474 : [(471 ^ _60474) ^ [_74649, _74651] : [-(and(_74651, _74649) = (not or(not _74651, not _74649)))]]], (473 ^ _60474) ^ [] : [op_implies_and, 476 ^ _60474 : [(477 ^ _60474) ^ [_74822, _74824] : [-(implies(_74824, _74822) = (not and(_74824, not _74822)))]]], (479 ^ _60474) ^ [] : [op_implies_or, 482 ^ _60474 : [(483 ^ _60474) ^ [_74993, _74995] : [-(implies(_74995, _74993) = or(not _74995, _74993))]]], (485 ^ _60474) ^ [] : [op_equiv, 488 ^ _60474 : [(489 ^ _60474) ^ [_75142, _75144] : [-(equiv(_75144, _75142) = and(implies(_75144, _75142), implies(_75142, _75144)))]]], (90 ^ _60474) ^ [] : [93 ^ _60474 : [(94 ^ _60474) ^ [] : [-(is_a_theorem(91 ^ []))], (96 ^ _60474) ^ [] : [-(is_a_theorem(implies(91 ^ [], 92 ^ [])))], (98 ^ _60474) ^ [] : [is_a_theorem(92 ^ [])]], -(modus_ponens)], (76 ^ _60474) ^ [] : [modus_ponens, 79 ^ _60474 : [(80 ^ _60474) ^ [_63280, _63282] : [-(is_a_theorem(_63280)), is_a_theorem(_63282), is_a_theorem(implies(_63282, _63280))]]], (112 ^ _60474) ^ [] : [115 ^ _60474 : [(116 ^ _60474) ^ [] : [-(is_a_theorem(equiv(113 ^ [], 114 ^ [])))], (118 ^ _60474) ^ [] : [113 ^ [] = 114 ^ []]], -(substitution_of_equivalents)], (102 ^ _60474) ^ [] : [substitution_of_equivalents, 105 ^ _60474 : [(106 ^ _60474) ^ [_63990, _63992] : [is_a_theorem(equiv(_63992, _63990)), -(_63992 = _63990)]]], (122 ^ _60474) ^ [] : [modus_tollens, 125 ^ _60474 : [(126 ^ _60474) ^ [_64537, _64539] : [-(is_a_theorem(implies(implies(not _64537, not _64539), implies(_64539, _64537))))]]], (128 ^ _60474) ^ [] : [is_a_theorem(implies(implies(not 130 ^ [], not 129 ^ []), implies(129 ^ [], 130 ^ []))), -(modus_tollens)], (136 ^ _60474) ^ [] : [implies_1, 139 ^ _60474 : [(140 ^ _60474) ^ [_64941, _64943] : [-(is_a_theorem(implies(_64943, implies(_64941, _64943))))]]], (142 ^ _60474) ^ [] : [is_a_theorem(implies(143 ^ [], implies(144 ^ [], 143 ^ []))), -(implies_1)], (150 ^ _60474) ^ [] : [implies_2, 153 ^ _60474 : [(154 ^ _60474) ^ [_65326, _65328] : [-(is_a_theorem(implies(implies(_65328, implies(_65328, _65326)), implies(_65328, _65326))))]]], (156 ^ _60474) ^ [] : [is_a_theorem(implies(implies(157 ^ [], implies(157 ^ [], 158 ^ [])), implies(157 ^ [], 158 ^ []))), -(implies_2)], (164 ^ _60474) ^ [] : [implies_3, 167 ^ _60474 : [(168 ^ _60474) ^ [_65743, _65745, _65747] : [-(is_a_theorem(implies(implies(_65747, _65745), implies(implies(_65745, _65743), implies(_65747, _65743)))))]]], (170 ^ _60474) ^ [] : [is_a_theorem(implies(implies(171 ^ [], 172 ^ []), implies(implies(172 ^ [], 173 ^ []), implies(171 ^ [], 173 ^ [])))), -(implies_3)], (179 ^ _60474) ^ [] : [and_1, 182 ^ _60474 : [(183 ^ _60474) ^ [_66215, _66217] : [-(is_a_theorem(implies(and(_66217, _66215), _66217)))]]], (185 ^ _60474) ^ [] : [is_a_theorem(implies(and(186 ^ [], 187 ^ []), 186 ^ [])), -(and_1)], (193 ^ _60474) ^ [] : [and_2, 196 ^ _60474 : [(197 ^ _60474) ^ [_66600, _66602] : [-(is_a_theorem(implies(and(_66602, _66600), _66600)))]]], (199 ^ _60474) ^ [] : [is_a_theorem(implies(and(200 ^ [], 201 ^ []), 201 ^ [])), -(and_2)], (207 ^ _60474) ^ [] : [and_3, 210 ^ _60474 : [(211 ^ _60474) ^ [_66985, _66987] : [-(is_a_theorem(implies(_66987, implies(_66985, and(_66987, _66985)))))]]], (213 ^ _60474) ^ [] : [is_a_theorem(implies(214 ^ [], implies(215 ^ [], and(214 ^ [], 215 ^ [])))), -(and_3)], (221 ^ _60474) ^ [] : [or_1, 224 ^ _60474 : [(225 ^ _60474) ^ [_67379, _67381] : [-(is_a_theorem(implies(_67381, or(_67381, _67379))))]]], (227 ^ _60474) ^ [] : [is_a_theorem(implies(228 ^ [], or(228 ^ [], 229 ^ []))), -(or_1)], (235 ^ _60474) ^ [] : [or_2, 238 ^ _60474 : [(239 ^ _60474) ^ [_67764, _67766] : [-(is_a_theorem(implies(_67764, or(_67766, _67764))))]]], (241 ^ _60474) ^ [] : [is_a_theorem(implies(243 ^ [], or(242 ^ [], 243 ^ []))), -(or_2)], (249 ^ _60474) ^ [] : [or_3, 252 ^ _60474 : [(253 ^ _60474) ^ [_68163, _68165, _68167] : [-(is_a_theorem(implies(implies(_68167, _68163), implies(implies(_68165, _68163), implies(or(_68167, _68165), _68163)))))]]], (255 ^ _60474) ^ [] : [is_a_theorem(implies(implies(256 ^ [], 258 ^ []), implies(implies(257 ^ [], 258 ^ []), implies(or(256 ^ [], 257 ^ []), 258 ^ [])))), -(or_3)], (264 ^ _60474) ^ [] : [equivalence_1, 267 ^ _60474 : [(268 ^ _60474) ^ [_68647, _68649] : [-(is_a_theorem(implies(equiv(_68649, _68647), implies(_68649, _68647))))]]], (270 ^ _60474) ^ [] : [is_a_theorem(implies(equiv(271 ^ [], 272 ^ []), implies(271 ^ [], 272 ^ []))), -(equivalence_1)], (278 ^ _60474) ^ [] : [equivalence_2, 281 ^ _60474 : [(282 ^ _60474) ^ [_69041, _69043] : [-(is_a_theorem(implies(equiv(_69043, _69041), implies(_69041, _69043))))]]], (284 ^ _60474) ^ [] : [is_a_theorem(implies(equiv(285 ^ [], 286 ^ []), implies(286 ^ [], 285 ^ []))), -(equivalence_2)], (292 ^ _60474) ^ [] : [equivalence_3, 295 ^ _60474 : [(296 ^ _60474) ^ [_69435, _69437] : [-(is_a_theorem(implies(implies(_69437, _69435), implies(implies(_69435, _69437), equiv(_69437, _69435)))))]]], (298 ^ _60474) ^ [] : [is_a_theorem(implies(implies(299 ^ [], 300 ^ []), implies(implies(300 ^ [], 299 ^ []), equiv(299 ^ [], 300 ^ [])))), -(equivalence_3)], (306 ^ _60474) ^ [] : [kn1, 309 ^ _60474 : [(310 ^ _60474) ^ [_69833] : [-(is_a_theorem(implies(_69833, and(_69833, _69833))))]]], (312 ^ _60474) ^ [] : [is_a_theorem(implies(313 ^ [], and(313 ^ [], 313 ^ []))), -(kn1)], (319 ^ _60474) ^ [] : [kn2, 322 ^ _60474 : [(323 ^ _60474) ^ [_70169, _70171] : [-(is_a_theorem(implies(and(_70171, _70169), _70171)))]]], (325 ^ _60474) ^ [] : [is_a_theorem(implies(and(326 ^ [], 327 ^ []), 326 ^ [])), -(kn2)], (333 ^ _60474) ^ [] : [kn3, 336 ^ _60474 : [(337 ^ _60474) ^ [_70568, _70570, _70572] : [-(is_a_theorem(implies(implies(_70572, _70570), implies(not and(_70570, _70568), not and(_70568, _70572)))))]]], (339 ^ _60474) ^ [] : [is_a_theorem(implies(implies(340 ^ [], 341 ^ []), implies(not and(341 ^ [], 342 ^ []), not and(342 ^ [], 340 ^ [])))), -(kn3)], (348 ^ _60474) ^ [] : [cn1, 351 ^ _60474 : [(352 ^ _60474) ^ [_71070, _71072, _71074] : [-(is_a_theorem(implies(implies(_71074, _71072), implies(implies(_71072, _71070), implies(_71074, _71070)))))]]], (354 ^ _60474) ^ [] : [is_a_theorem(implies(implies(355 ^ [], 356 ^ []), implies(implies(356 ^ [], 357 ^ []), implies(355 ^ [], 357 ^ [])))), -(cn1)], (363 ^ _60474) ^ [] : [cn2, 366 ^ _60474 : [(367 ^ _60474) ^ [_71542, _71544] : [-(is_a_theorem(implies(_71544, implies(not _71544, _71542))))]]], (369 ^ _60474) ^ [] : [is_a_theorem(implies(370 ^ [], implies(not 370 ^ [], 371 ^ []))), -(cn2)], (377 ^ _60474) ^ [] : [cn3, 380 ^ _60474 : [(381 ^ _60474) ^ [_71917] : [-(is_a_theorem(implies(implies(not _71917, _71917), _71917)))]]], (383 ^ _60474) ^ [] : [is_a_theorem(implies(implies(not 384 ^ [], 384 ^ []), 384 ^ [])), -(cn3)], (390 ^ _60474) ^ [] : [r1, 393 ^ _60474 : [(394 ^ _60474) ^ [_72243] : [-(is_a_theorem(implies(or(_72243, _72243), _72243)))]]], (396 ^ _60474) ^ [] : [is_a_theorem(implies(or(397 ^ [], 397 ^ []), 397 ^ [])), -(r1)], (403 ^ _60474) ^ [] : [r2, 406 ^ _60474 : [(407 ^ _60474) ^ [_72579, _72581] : [-(is_a_theorem(implies(_72579, or(_72581, _72579))))]]], (409 ^ _60474) ^ [] : [is_a_theorem(implies(411 ^ [], or(410 ^ [], 411 ^ []))), -(r2)], (417 ^ _60474) ^ [] : [r3, 420 ^ _60474 : [(421 ^ _60474) ^ [_72964, _72966] : [-(is_a_theorem(implies(or(_72966, _72964), or(_72964, _72966))))]]], (423 ^ _60474) ^ [] : [is_a_theorem(implies(or(424 ^ [], 425 ^ []), or(425 ^ [], 424 ^ []))), -(r3)], (431 ^ _60474) ^ [] : [r4, 434 ^ _60474 : [(435 ^ _60474) ^ [_73372, _73374, _73376] : [-(is_a_theorem(implies(or(_73376, or(_73374, _73372)), or(_73374, or(_73376, _73372)))))]]], (437 ^ _60474) ^ [] : [is_a_theorem(implies(or(438 ^ [], or(439 ^ [], 440 ^ [])), or(439 ^ [], or(438 ^ [], 440 ^ [])))), -(r4)], (446 ^ _60474) ^ [] : [r5, 449 ^ _60474 : [(450 ^ _60474) ^ [_73841, _73843, _73845] : [-(is_a_theorem(implies(implies(_73843, _73841), implies(or(_73845, _73843), or(_73845, _73841)))))]]], (452 ^ _60474) ^ [] : [is_a_theorem(implies(implies(454 ^ [], 455 ^ []), implies(or(453 ^ [], 454 ^ []), or(453 ^ [], 455 ^ [])))), -(r5)]], input).
% 0.21/1.32 ncf('1',plain,[or_2],start(517 ^ 0)).
% 0.21/1.32 ncf('1.1',plain,[-(or_2), is_a_theorem(implies(243 ^ [], or(242 ^ [], 243 ^ [])))],extension(241 ^ 1)).
% 0.21/1.32 ncf('1.1.1',plain,[-(is_a_theorem(implies(243 ^ [], or(242 ^ [], 243 ^ [])))), r2],extension(403 ^ 2,bind([[_72579, _72581], [243 ^ [], 242 ^ []]]))).
% 0.21/1.32 ncf('1.1.1.1',plain,[-(r2)],extension(501 ^ 3)).
% 0.21/1.32 %-----------------------------------------------------
% 0.21/1.32 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------