TSTP Solution File: LCL506+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : LCL506+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n019.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 11:33:24 EDT 2023
% Result : Theorem 0.34s 1.38s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL506+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 16:29:57 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.34/1.38
% 0.34/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 ncf(matrix, plain, [(513 ^ _60060) ^ [] : [and_1], (20 ^ _60060) ^ [_60808, _60810] : [-(is_a_theorem(_60808)), _60810 = _60808, is_a_theorem(_60810)], (2 ^ _60060) ^ [_60204] : [-(_60204 = _60204)], (4 ^ _60060) ^ [_60311, _60313] : [_60313 = _60311, -(_60311 = _60313)], (10 ^ _60060) ^ [_60515, _60517, _60519] : [-(_60519 = _60515), _60519 = _60517, _60517 = _60515], (30 ^ _60060) ^ [_61133, _61135, _61137, _61139] : [-(or(_61139, _61135) = or(_61137, _61133)), _61139 = _61137, _61135 = _61133], (40 ^ _60060) ^ [_61464, _61466] : [_61466 = _61464, -((not _61466) = (not _61464))], (46 ^ _60060) ^ [_61710, _61712, _61714, _61716] : [-(equiv(_61716, _61712) = equiv(_61714, _61710)), _61716 = _61714, _61712 = _61710], (56 ^ _60060) ^ [_62069, _62071, _62073, _62075] : [-(and(_62075, _62071) = and(_62073, _62069)), _62075 = _62073, _62071 = _62069], (66 ^ _60060) ^ [_62408, _62410, _62412, _62414] : [-(implies(_62414, _62410) = implies(_62412, _62408)), _62414 = _62412, _62410 = _62408], (491 ^ _60060) ^ [] : [-(op_or)], (493 ^ _60060) ^ [] : [-(op_implies_and)], (495 ^ _60060) ^ [] : [-(op_equiv)], (497 ^ _60060) ^ [] : [-(modus_ponens)], (499 ^ _60060) ^ [] : [-(kn1)], (501 ^ _60060) ^ [] : [-(kn2)], (503 ^ _60060) ^ [] : [-(kn3)], (505 ^ _60060) ^ [] : [-(substitution_of_equivalents)], (507 ^ _60060) ^ [] : [-(op_or)], (509 ^ _60060) ^ [] : [-(op_implies_and)], (511 ^ _60060) ^ [] : [-(op_equiv)], (461 ^ _60060) ^ [] : [op_or, 464 ^ _60060 : [(465 ^ _60060) ^ [_74062, _74064] : [-(or(_74064, _74062) = (not and(not _74064, not _74062)))]]], (467 ^ _60060) ^ [] : [op_and, 470 ^ _60060 : [(471 ^ _60060) ^ [_74235, _74237] : [-(and(_74237, _74235) = (not or(not _74237, not _74235)))]]], (473 ^ _60060) ^ [] : [op_implies_and, 476 ^ _60060 : [(477 ^ _60060) ^ [_74408, _74410] : [-(implies(_74410, _74408) = (not and(_74410, not _74408)))]]], (479 ^ _60060) ^ [] : [op_implies_or, 482 ^ _60060 : [(483 ^ _60060) ^ [_74579, _74581] : [-(implies(_74581, _74579) = or(not _74581, _74579))]]], (485 ^ _60060) ^ [] : [op_equiv, 488 ^ _60060 : [(489 ^ _60060) ^ [_74728, _74730] : [-(equiv(_74730, _74728) = and(implies(_74730, _74728), implies(_74728, _74730)))]]], (90 ^ _60060) ^ [] : [93 ^ _60060 : [(94 ^ _60060) ^ [] : [-(is_a_theorem(91 ^ []))], (96 ^ _60060) ^ [] : [-(is_a_theorem(implies(91 ^ [], 92 ^ [])))], (98 ^ _60060) ^ [] : [is_a_theorem(92 ^ [])]], -(modus_ponens)], (76 ^ _60060) ^ [] : [modus_ponens, 79 ^ _60060 : [(80 ^ _60060) ^ [_62866, _62868] : [-(is_a_theorem(_62866)), is_a_theorem(_62868), is_a_theorem(implies(_62868, _62866))]]], (112 ^ _60060) ^ [] : [115 ^ _60060 : [(116 ^ _60060) ^ [] : [-(is_a_theorem(equiv(113 ^ [], 114 ^ [])))], (118 ^ _60060) ^ [] : [113 ^ [] = 114 ^ []]], -(substitution_of_equivalents)], (102 ^ _60060) ^ [] : [substitution_of_equivalents, 105 ^ _60060 : [(106 ^ _60060) ^ [_63576, _63578] : [is_a_theorem(equiv(_63578, _63576)), -(_63578 = _63576)]]], (122 ^ _60060) ^ [] : [modus_tollens, 125 ^ _60060 : [(126 ^ _60060) ^ [_64123, _64125] : [-(is_a_theorem(implies(implies(not _64123, not _64125), implies(_64125, _64123))))]]], (128 ^ _60060) ^ [] : [is_a_theorem(implies(implies(not 130 ^ [], not 129 ^ []), implies(129 ^ [], 130 ^ []))), -(modus_tollens)], (136 ^ _60060) ^ [] : [implies_1, 139 ^ _60060 : [(140 ^ _60060) ^ [_64527, _64529] : [-(is_a_theorem(implies(_64529, implies(_64527, _64529))))]]], (142 ^ _60060) ^ [] : [is_a_theorem(implies(143 ^ [], implies(144 ^ [], 143 ^ []))), -(implies_1)], (150 ^ _60060) ^ [] : [implies_2, 153 ^ _60060 : [(154 ^ _60060) ^ [_64912, _64914] : [-(is_a_theorem(implies(implies(_64914, implies(_64914, _64912)), implies(_64914, _64912))))]]], (156 ^ _60060) ^ [] : [is_a_theorem(implies(implies(157 ^ [], implies(157 ^ [], 158 ^ [])), implies(157 ^ [], 158 ^ []))), -(implies_2)], (164 ^ _60060) ^ [] : [implies_3, 167 ^ _60060 : [(168 ^ _60060) ^ [_65329, _65331, _65333] : [-(is_a_theorem(implies(implies(_65333, _65331), implies(implies(_65331, _65329), implies(_65333, _65329)))))]]], (170 ^ _60060) ^ [] : [is_a_theorem(implies(implies(171 ^ [], 172 ^ []), implies(implies(172 ^ [], 173 ^ []), implies(171 ^ [], 173 ^ [])))), -(implies_3)], (179 ^ _60060) ^ [] : [and_1, 182 ^ _60060 : [(183 ^ _60060) ^ [_65801, _65803] : [-(is_a_theorem(implies(and(_65803, _65801), _65803)))]]], (185 ^ _60060) ^ [] : [is_a_theorem(implies(and(186 ^ [], 187 ^ []), 186 ^ [])), -(and_1)], (193 ^ _60060) ^ [] : [and_2, 196 ^ _60060 : [(197 ^ _60060) ^ [_66186, _66188] : [-(is_a_theorem(implies(and(_66188, _66186), _66186)))]]], (199 ^ _60060) ^ [] : [is_a_theorem(implies(and(200 ^ [], 201 ^ []), 201 ^ [])), -(and_2)], (207 ^ _60060) ^ [] : [and_3, 210 ^ _60060 : [(211 ^ _60060) ^ [_66571, _66573] : [-(is_a_theorem(implies(_66573, implies(_66571, and(_66573, _66571)))))]]], (213 ^ _60060) ^ [] : [is_a_theorem(implies(214 ^ [], implies(215 ^ [], and(214 ^ [], 215 ^ [])))), -(and_3)], (221 ^ _60060) ^ [] : [or_1, 224 ^ _60060 : [(225 ^ _60060) ^ [_66965, _66967] : [-(is_a_theorem(implies(_66967, or(_66967, _66965))))]]], (227 ^ _60060) ^ [] : [is_a_theorem(implies(228 ^ [], or(228 ^ [], 229 ^ []))), -(or_1)], (235 ^ _60060) ^ [] : [or_2, 238 ^ _60060 : [(239 ^ _60060) ^ [_67350, _67352] : [-(is_a_theorem(implies(_67350, or(_67352, _67350))))]]], (241 ^ _60060) ^ [] : [is_a_theorem(implies(243 ^ [], or(242 ^ [], 243 ^ []))), -(or_2)], (249 ^ _60060) ^ [] : [or_3, 252 ^ _60060 : [(253 ^ _60060) ^ [_67749, _67751, _67753] : [-(is_a_theorem(implies(implies(_67753, _67749), implies(implies(_67751, _67749), implies(or(_67753, _67751), _67749)))))]]], (255 ^ _60060) ^ [] : [is_a_theorem(implies(implies(256 ^ [], 258 ^ []), implies(implies(257 ^ [], 258 ^ []), implies(or(256 ^ [], 257 ^ []), 258 ^ [])))), -(or_3)], (264 ^ _60060) ^ [] : [equivalence_1, 267 ^ _60060 : [(268 ^ _60060) ^ [_68233, _68235] : [-(is_a_theorem(implies(equiv(_68235, _68233), implies(_68235, _68233))))]]], (270 ^ _60060) ^ [] : [is_a_theorem(implies(equiv(271 ^ [], 272 ^ []), implies(271 ^ [], 272 ^ []))), -(equivalence_1)], (278 ^ _60060) ^ [] : [equivalence_2, 281 ^ _60060 : [(282 ^ _60060) ^ [_68627, _68629] : [-(is_a_theorem(implies(equiv(_68629, _68627), implies(_68627, _68629))))]]], (284 ^ _60060) ^ [] : [is_a_theorem(implies(equiv(285 ^ [], 286 ^ []), implies(286 ^ [], 285 ^ []))), -(equivalence_2)], (292 ^ _60060) ^ [] : [equivalence_3, 295 ^ _60060 : [(296 ^ _60060) ^ [_69021, _69023] : [-(is_a_theorem(implies(implies(_69023, _69021), implies(implies(_69021, _69023), equiv(_69023, _69021)))))]]], (298 ^ _60060) ^ [] : [is_a_theorem(implies(implies(299 ^ [], 300 ^ []), implies(implies(300 ^ [], 299 ^ []), equiv(299 ^ [], 300 ^ [])))), -(equivalence_3)], (306 ^ _60060) ^ [] : [kn1, 309 ^ _60060 : [(310 ^ _60060) ^ [_69419] : [-(is_a_theorem(implies(_69419, and(_69419, _69419))))]]], (312 ^ _60060) ^ [] : [is_a_theorem(implies(313 ^ [], and(313 ^ [], 313 ^ []))), -(kn1)], (319 ^ _60060) ^ [] : [kn2, 322 ^ _60060 : [(323 ^ _60060) ^ [_69755, _69757] : [-(is_a_theorem(implies(and(_69757, _69755), _69757)))]]], (325 ^ _60060) ^ [] : [is_a_theorem(implies(and(326 ^ [], 327 ^ []), 326 ^ [])), -(kn2)], (333 ^ _60060) ^ [] : [kn3, 336 ^ _60060 : [(337 ^ _60060) ^ [_70154, _70156, _70158] : [-(is_a_theorem(implies(implies(_70158, _70156), implies(not and(_70156, _70154), not and(_70154, _70158)))))]]], (339 ^ _60060) ^ [] : [is_a_theorem(implies(implies(340 ^ [], 341 ^ []), implies(not and(341 ^ [], 342 ^ []), not and(342 ^ [], 340 ^ [])))), -(kn3)], (348 ^ _60060) ^ [] : [cn1, 351 ^ _60060 : [(352 ^ _60060) ^ [_70656, _70658, _70660] : [-(is_a_theorem(implies(implies(_70660, _70658), implies(implies(_70658, _70656), implies(_70660, _70656)))))]]], (354 ^ _60060) ^ [] : [is_a_theorem(implies(implies(355 ^ [], 356 ^ []), implies(implies(356 ^ [], 357 ^ []), implies(355 ^ [], 357 ^ [])))), -(cn1)], (363 ^ _60060) ^ [] : [cn2, 366 ^ _60060 : [(367 ^ _60060) ^ [_71128, _71130] : [-(is_a_theorem(implies(_71130, implies(not _71130, _71128))))]]], (369 ^ _60060) ^ [] : [is_a_theorem(implies(370 ^ [], implies(not 370 ^ [], 371 ^ []))), -(cn2)], (377 ^ _60060) ^ [] : [cn3, 380 ^ _60060 : [(381 ^ _60060) ^ [_71503] : [-(is_a_theorem(implies(implies(not _71503, _71503), _71503)))]]], (383 ^ _60060) ^ [] : [is_a_theorem(implies(implies(not 384 ^ [], 384 ^ []), 384 ^ [])), -(cn3)], (390 ^ _60060) ^ [] : [r1, 393 ^ _60060 : [(394 ^ _60060) ^ [_71829] : [-(is_a_theorem(implies(or(_71829, _71829), _71829)))]]], (396 ^ _60060) ^ [] : [is_a_theorem(implies(or(397 ^ [], 397 ^ []), 397 ^ [])), -(r1)], (403 ^ _60060) ^ [] : [r2, 406 ^ _60060 : [(407 ^ _60060) ^ [_72165, _72167] : [-(is_a_theorem(implies(_72165, or(_72167, _72165))))]]], (409 ^ _60060) ^ [] : [is_a_theorem(implies(411 ^ [], or(410 ^ [], 411 ^ []))), -(r2)], (417 ^ _60060) ^ [] : [r3, 420 ^ _60060 : [(421 ^ _60060) ^ [_72550, _72552] : [-(is_a_theorem(implies(or(_72552, _72550), or(_72550, _72552))))]]], (423 ^ _60060) ^ [] : [is_a_theorem(implies(or(424 ^ [], 425 ^ []), or(425 ^ [], 424 ^ []))), -(r3)], (431 ^ _60060) ^ [] : [r4, 434 ^ _60060 : [(435 ^ _60060) ^ [_72958, _72960, _72962] : [-(is_a_theorem(implies(or(_72962, or(_72960, _72958)), or(_72960, or(_72962, _72958)))))]]], (437 ^ _60060) ^ [] : [is_a_theorem(implies(or(438 ^ [], or(439 ^ [], 440 ^ [])), or(439 ^ [], or(438 ^ [], 440 ^ [])))), -(r4)], (446 ^ _60060) ^ [] : [r5, 449 ^ _60060 : [(450 ^ _60060) ^ [_73427, _73429, _73431] : [-(is_a_theorem(implies(implies(_73429, _73427), implies(or(_73431, _73429), or(_73431, _73427)))))]]], (452 ^ _60060) ^ [] : [is_a_theorem(implies(implies(454 ^ [], 455 ^ []), implies(or(453 ^ [], 454 ^ []), or(453 ^ [], 455 ^ [])))), -(r5)]], input).
% 0.34/1.38 ncf('1',plain,[and_1],start(513 ^ 0)).
% 0.34/1.38 ncf('1.1',plain,[-(and_1), is_a_theorem(implies(and(186 ^ [], 187 ^ []), 186 ^ []))],extension(185 ^ 1)).
% 0.34/1.38 ncf('1.1.1',plain,[-(is_a_theorem(implies(and(186 ^ [], 187 ^ []), 186 ^ []))), kn2],extension(319 ^ 2,bind([[_69755, _69757], [187 ^ [], 186 ^ []]]))).
% 0.34/1.38 ncf('1.1.1.1',plain,[-(kn2)],extension(501 ^ 3)).
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------