TSTP Solution File: KRS200+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KRS200+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n022.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 11:26:28 EDT 2023

% Result   : Theorem 0.72s 1.38s
% Output   : Proof 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS200+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 23:02:32 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.72/1.38  
% 0.72/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.72/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/1.38  %-----------------------------------------------------
% 0.72/1.38  ncf(matrix, plain, [(689 ^ _75096) ^ [] : [nota(unp, thm)], (509 ^ _75096) ^ [_93687, _93689] : [mighta(_93689, _93687), 514 ^ _75096 : [(515 ^ _75096) ^ [] : [-(status(512 ^ [_93687, _93689], 513 ^ [_93687, _93689], _93689))], (517 ^ _75096) ^ [] : [-(status(512 ^ [_93687, _93689], 513 ^ [_93687, _93689], _93687))]]], (499 ^ _75096) ^ [_93342, _93344] : [-(mighta(_93344, _93342)), 500 ^ _75096 : [(501 ^ _75096) ^ [_93455, _93457] : [status(_93457, _93455, _93344), status(_93457, _93455, _93342)]]], (519 ^ _75096) ^ [_94170, _94172] : [522 ^ _75096 : [(523 ^ _75096) ^ [] : [-(status(520 ^ [_94170, _94172], 521 ^ [_94170, _94172], _94172))], (525 ^ _75096) ^ [] : [status(520 ^ [_94170, _94172], 521 ^ [_94170, _94172], _94170)]], -(isa(_94172, _94170))], (529 ^ _75096) ^ [_94574, _94576] : [isa(_94576, _94574), 532 ^ _75096 : [(533 ^ _75096) ^ [_94732, _94734] : [status(_94734, _94732, _94576), -(status(_94734, _94732, _94574))]]], (549 ^ _75096) ^ [_95348, _95350] : [nota(_95350, _95348), 554 ^ _75096 : [(555 ^ _75096) ^ [] : [-(status(552 ^ [_95348, _95350], 553 ^ [_95348, _95350], _95350))], (557 ^ _75096) ^ [] : [status(552 ^ [_95348, _95350], 553 ^ [_95348, _95350], _95348)]]], (539 ^ _75096) ^ [_94998, _95000] : [-(nota(_95000, _94998)), 540 ^ _75096 : [(541 ^ _75096) ^ [_95113, _95115] : [status(_95115, _95113, _95000), -(status(_95115, _95113, _94998))]]], (559 ^ _75096) ^ [_95836, _95838] : [562 ^ _75096 : [(563 ^ _75096) ^ [] : [-(status(560 ^ [_95836, _95838], 561 ^ [_95836, _95838], _95838))], (565 ^ _75096) ^ [] : [-(status(560 ^ [_95836, _95838], 561 ^ [_95836, _95838], _95836))]], -(nevera(_95838, _95836))], (569 ^ _75096) ^ [_96247, _96249] : [nevera(_96249, _96247), 572 ^ _75096 : [(573 ^ _75096) ^ [_96407, _96409] : [status(_96409, _96407, _96249), status(_96409, _96407, _96247)]]], (597 ^ _75096) ^ [_97290, _97292] : [xora(_97292, _97290), 600 ^ _75096 : [(601 ^ _75096) ^ [_97459, _97461] : [602 ^ _75096 : [(603 ^ _75096) ^ [] : [-(status(_97461, _97459, _97292))], (605 ^ _75096) ^ [] : [status(_97461, _97459, _97290)]], 606 ^ _75096 : [(607 ^ _75096) ^ [] : [-(status(_97461, _97459, _97290))], (609 ^ _75096) ^ [] : [status(_97461, _97459, _97292)]]]]], (579 ^ _75096) ^ [_96674, _96676] : [-(xora(_96676, _96674)), 582 ^ _75096 : [(583 ^ _75096) ^ [] : [status(580 ^ [_96674, _96676], 581 ^ [_96674, _96676], _96676), -(status(580 ^ [_96674, _96676], 581 ^ [_96674, _96676], _96674))], (589 ^ _75096) ^ [] : [status(580 ^ [_96674, _96676], 581 ^ [_96674, _96676], _96674), -(status(580 ^ [_96674, _96676], 581 ^ [_96674, _96676], _96676))]]], (611 ^ _75096) ^ [_97866, _97868] : [612 ^ _75096 : [(613 ^ _75096) ^ [] : [-(model(_97868, _97866))], (615 ^ _75096) ^ [] : [model(_97868, not _97866)]], 616 ^ _75096 : [(617 ^ _75096) ^ [] : [-(model(_97868, not _97866))], (619 ^ _75096) ^ [] : [model(_97868, _97866)]]], (621 ^ _75096) ^ [_98262, _98264] : [model(_98264, _98262), model(_98264, not _98262)], (627 ^ _75096) ^ [_98429, _98431] : [-(model(_98431, not _98429)), -(model(_98431, _98429))], (634 ^ _75096) ^ [_98661] : [-(model(_98661, 632 ^ []))], (638 ^ _75096) ^ [] : [-(model(636 ^ [], 635 ^ []))], (641 ^ _75096) ^ [] : [model(639 ^ [], 635 ^ [])], (644 ^ _75096) ^ [_99020] : [model(_99020, 642 ^ [])], (649 ^ _75096) ^ [] : [-(model(647 ^ [], 645 ^ []))], (651 ^ _75096) ^ [] : [-(model(647 ^ [], 646 ^ []))], (654 ^ _75096) ^ [] : [model(652 ^ [], 645 ^ []), model(652 ^ [], 646 ^ [])], (682 ^ _75096) ^ [] : [-(model(678 ^ [], 679 ^ []))], (684 ^ _75096) ^ [] : [model(678 ^ [], 680 ^ [])], (687 ^ _75096) ^ [] : [-(model(685 ^ [], 680 ^ []))], (663 ^ _75096) ^ [] : [-(model(661 ^ [], 659 ^ []))], (672 ^ _75096) ^ [] : [model(670 ^ [], 659 ^ [])], (674 ^ _75096) ^ [] : [-(model(670 ^ [], 660 ^ []))], (677 ^ _75096) ^ [] : [model(675 ^ [], 660 ^ [])], (665 ^ _75096) ^ [_99873] : [model(_99873, 659 ^ []), -(model(_99873, 660 ^ []))], (2 ^ _75096) ^ [_75258, _75260] : [3 ^ _75096 : [(4 ^ _75096) ^ [_75364] : [model(_75364, _75260)], (7 ^ _75096) ^ [] : [-(model(5 ^ [_75258, _75260], _75258))]], -(status(_75260, _75258, unp))], (11 ^ _75096) ^ [_75579, _75581] : [status(_75581, _75579, unp), -(model(16 ^ [_75579, _75581], _75581)), 19 ^ _75096 : [(20 ^ _75096) ^ [_75843] : [model(_75843, _75579)]]], (22 ^ _75096) ^ [_75994, _75996] : [24 ^ _75096 : [(25 ^ _75096) ^ [] : [-(model(23 ^ [_75994, _75996], _75996))], (27 ^ _75096) ^ [_76194] : [model(_76194, _75994)]], -(status(_75996, _75994, sap))], (31 ^ _75096) ^ [_76311, _76313] : [status(_76313, _76311, sap), 36 ^ _75096 : [(37 ^ _75096) ^ [_76473] : [model(_76473, _76313)]], -(model(38 ^ [_76311, _76313], _76311))], (42 ^ _75096) ^ [_76722, _76724] : [-(status(_76724, _76722, esa)), 46 ^ _75096 : [(47 ^ _75096) ^ [] : [-(model(45 ^ [_76722, _76724], _76724))], (49 ^ _75096) ^ [_76965] : [model(_76965, _76722)]], 51 ^ _75096 : [(52 ^ _75096) ^ [] : [-(model(50 ^ [_76722, _76724], _76722))], (54 ^ _75096) ^ [_77146] : [model(_77146, _76724)]]], (58 ^ _75096) ^ [_77268, _77270] : [status(_77270, _77268, esa), 61 ^ _75096 : [(62 ^ _75096) ^ [] : [63 ^ _75096 : [(64 ^ _75096) ^ [_77459] : [model(_77459, _77270)]], -(model(65 ^ [_77268, _77270], _77268))], (69 ^ _75096) ^ [] : [70 ^ _75096 : [(71 ^ _75096) ^ [_77657] : [model(_77657, _77268)]], -(model(72 ^ [_77268, _77270], _77270))]]], (86 ^ _75096) ^ [_78225, _78227] : [status(_78227, _78225, sat), 90 ^ _75096 : [(91 ^ _75096) ^ [] : [-(model(89 ^ [_78225, _78227], _78227))], (93 ^ _75096) ^ [] : [-(model(89 ^ [_78225, _78227], _78225))]]], (76 ^ _75096) ^ [_77909, _77911] : [-(status(_77911, _77909, sat)), 77 ^ _75096 : [(78 ^ _75096) ^ [_78002] : [model(_78002, _77911), model(_78002, _77909)]]], (95 ^ _75096) ^ [_78613, _78615] : [97 ^ _75096 : [(98 ^ _75096) ^ [] : [-(model(96 ^ [_78613, _78615], _78615))], (100 ^ _75096) ^ [] : [model(96 ^ [_78613, _78615], _78613)]], -(status(_78615, _78613, thm))], (104 ^ _75096) ^ [_78922, _78924] : [status(_78924, _78922, thm), 107 ^ _75096 : [(108 ^ _75096) ^ [_79061] : [model(_79061, _78924), -(model(_79061, _78922))]]], (114 ^ _75096) ^ [_79317, _79319] : [-(status(_79319, _79317, eqv)), 117 ^ _75096 : [(118 ^ _75096) ^ [_79439] : [model(_79439, _79319)]], 122 ^ _75096 : [(123 ^ _75096) ^ [] : [-(model(119 ^ [_79317, _79319], _79319))], (125 ^ _75096) ^ [] : [model(119 ^ [_79317, _79319], _79317)]], 126 ^ _75096 : [(127 ^ _75096) ^ [] : [-(model(119 ^ [_79317, _79319], _79317))], (129 ^ _75096) ^ [] : [model(119 ^ [_79317, _79319], _79319)]]], (133 ^ _75096) ^ [_79912, _79914] : [status(_79914, _79912, eqv), 137 ^ _75096 : [(138 ^ _75096) ^ [] : [-(model(136 ^ [_79912, _79914], _79914))], (140 ^ _75096) ^ [_80209] : [model(_80209, _79914), -(model(_80209, _79912))], (146 ^ _75096) ^ [_80381] : [model(_80381, _79912), -(model(_80381, _79914))]]], (163 ^ _75096) ^ [_80973, _80975] : [status(_80975, _80973, tac), 167 ^ _75096 : [(168 ^ _75096) ^ [] : [-(model(166 ^ [_80973, _80975], _80975))], (170 ^ _75096) ^ [_81220] : [-(model(_81220, _80973))]]], (152 ^ _75096) ^ [_80641, _80643] : [-(status(_80643, _80641, tac)), 155 ^ _75096 : [(156 ^ _75096) ^ [_80757] : [model(_80757, _80643)]], model(157 ^ [_80641, _80643], _80641)], (193 ^ _75096) ^ [_82035, _82037] : [status(_82037, _82035, wec), 197 ^ _75096 : [(198 ^ _75096) ^ [] : [-(model(196 ^ [_82035, _82037], _82037))], (207 ^ _75096) ^ [] : [-(model(205 ^ [_82035, _82037], _82035))], (209 ^ _75096) ^ [] : [model(205 ^ [_82035, _82037], _82037)], (200 ^ _75096) ^ [_82342] : [model(_82342, _82037), -(model(_82342, _82035))]]], (172 ^ _75096) ^ [_81369, _81371] : [-(status(_81371, _81369, wec)), 175 ^ _75096 : [(176 ^ _75096) ^ [_81510] : [model(_81510, _81371)]], 180 ^ _75096 : [(181 ^ _75096) ^ [] : [-(model(179 ^ [_81369, _81371], _81371))], (183 ^ _75096) ^ [] : [model(179 ^ [_81369, _81371], _81369)]], 184 ^ _75096 : [(185 ^ _75096) ^ [_81799] : [model(_81799, _81369), -(model(_81799, _81371))]]], (211 ^ _75096) ^ [_82784, _82786] : [-(status(_82786, _82784, eth)), 214 ^ _75096 : [(215 ^ _75096) ^ [_82919] : [model(_82919, _82786)]], 218 ^ _75096 : [(219 ^ _75096) ^ [_83015] : [-(model(_83015, _82786))]], 223 ^ _75096 : [(224 ^ _75096) ^ [] : [-(model(220 ^ [_82784, _82786], _82786))], (226 ^ _75096) ^ [] : [model(220 ^ [_82784, _82786], _82784)]], 227 ^ _75096 : [(228 ^ _75096) ^ [] : [-(model(220 ^ [_82784, _82786], _82784))], (230 ^ _75096) ^ [] : [model(220 ^ [_82784, _82786], _82786)]]], (234 ^ _75096) ^ [_83493, _83495] : [status(_83495, _83493, eth), 238 ^ _75096 : [(239 ^ _75096) ^ [] : [-(model(237 ^ [_83493, _83495], _83495))], (242 ^ _75096) ^ [] : [model(240 ^ [_83493, _83495], _83495)], (244 ^ _75096) ^ [_83922] : [model(_83922, _83495), -(model(_83922, _83493))], (250 ^ _75096) ^ [_84094] : [model(_84094, _83493), -(model(_84094, _83495))]]], (267 ^ _75096) ^ [_84679, _84681] : [status(_84681, _84679, tau), 270 ^ _75096 : [(271 ^ _75096) ^ [_84823] : [-(model(_84823, _84681))], (273 ^ _75096) ^ [_84871] : [-(model(_84871, _84679))]]], (256 ^ _75096) ^ [_84356, _84358] : [-(status(_84358, _84356, tau)), model(257 ^ [_84356, _84358], _84358), model(257 ^ [_84356, _84358], _84356)], (290 ^ _75096) ^ [_85466, _85468] : [status(_85468, _85466, wtc), 294 ^ _75096 : [(295 ^ _75096) ^ [] : [-(model(293 ^ [_85466, _85468], _85468))], (298 ^ _75096) ^ [] : [model(296 ^ [_85466, _85468], _85468)], (300 ^ _75096) ^ [_85845] : [-(model(_85845, _85466))]]], (275 ^ _75096) ^ [_85020, _85022] : [-(status(_85022, _85020, wtc)), 278 ^ _75096 : [(279 ^ _75096) ^ [_85149] : [model(_85149, _85022)]], 282 ^ _75096 : [(283 ^ _75096) ^ [_85245] : [-(model(_85245, _85022))]], model(284 ^ [_85020, _85022], _85020)], (327 ^ _75096) ^ [_86776, _86778] : [status(_86778, _86776, wth), 331 ^ _75096 : [(332 ^ _75096) ^ [] : [-(model(330 ^ [_86776, _86778], _86778))], (341 ^ _75096) ^ [] : [-(model(339 ^ [_86776, _86778], _86776))], (343 ^ _75096) ^ [] : [model(339 ^ [_86776, _86778], _86778)], (346 ^ _75096) ^ [] : [model(344 ^ [_86776, _86778], _86776)], (334 ^ _75096) ^ [_87096] : [model(_87096, _86778), -(model(_87096, _86776))]]], (302 ^ _75096) ^ [_85996, _85998] : [-(status(_85998, _85996, wth)), 305 ^ _75096 : [(306 ^ _75096) ^ [_86150] : [model(_86150, _85998)]], 310 ^ _75096 : [(311 ^ _75096) ^ [] : [-(model(309 ^ [_85996, _85998], _85998))], (313 ^ _75096) ^ [] : [model(309 ^ [_85996, _85998], _85996)]], 322 ^ _75096 : [(323 ^ _75096) ^ [_86646] : [-(model(_86646, _85996))]], 316 ^ _75096 : [(317 ^ _75096) ^ [_86473] : [model(_86473, _85996), -(model(_86473, _85998))]]], (348 ^ _75096) ^ [_87663, _87665] : [-(model(349 ^ [_87663, _87665], _87665)), -(status(_87665, _87663, cax))], (355 ^ _75096) ^ [_87887, _87889] : [status(_87889, _87887, cax), 358 ^ _75096 : [(359 ^ _75096) ^ [_88006] : [model(_88006, _87889)]]], (372 ^ _75096) ^ [_88488, _88490] : [status(_88490, _88488, sca), 375 ^ _75096 : [(376 ^ _75096) ^ [_88638] : [model(_88638, _88490)], (379 ^ _75096) ^ [] : [-(model(377 ^ [_88488, _88490], _88488))]]], (361 ^ _75096) ^ [_88153, _88155] : [-(status(_88155, _88153, sca)), -(model(364 ^ [_88153, _88155], _88155)), 367 ^ _75096 : [(368 ^ _75096) ^ [_88369] : [model(_88369, _88153)]]], (393 ^ _75096) ^ [_89255, _89257] : [status(_89257, _89255, tca), 396 ^ _75096 : [(397 ^ _75096) ^ [_89405] : [model(_89405, _89257)], (399 ^ _75096) ^ [_89467] : [-(model(_89467, _89255))]]], (381 ^ _75096) ^ [_88885, _88887] : [-(status(_88887, _88885, tca)), -(model(384 ^ [_88885, _88887], _88887)), model(387 ^ [_88885, _88887], _88885)], (416 ^ _75096) ^ [_90065, _90067] : [status(_90067, _90065, wca), 419 ^ _75096 : [(420 ^ _75096) ^ [_90228] : [model(_90228, _90067)], (423 ^ _75096) ^ [] : [-(model(421 ^ [_90065, _90067], _90065))], (426 ^ _75096) ^ [] : [model(424 ^ [_90065, _90067], _90065)]]], (401 ^ _75096) ^ [_89616, _89618] : [-(status(_89618, _89616, wca)), -(model(404 ^ [_89616, _89618], _89618)), 409 ^ _75096 : [(410 ^ _75096) ^ [_89879] : [model(_89879, _89616)]], 411 ^ _75096 : [(412 ^ _75096) ^ [_89941] : [-(model(_89941, _89616))]]], (438 ^ _75096) ^ [_90918, _90920] : [status(_90920, _90918, csa), 442 ^ _75096 : [(443 ^ _75096) ^ [] : [-(model(441 ^ [_90918, _90920], _90920))], (445 ^ _75096) ^ [] : [-(model(441 ^ [_90918, _90920], not _90918))]]], (428 ^ _75096) ^ [_90596, _90598] : [-(status(_90598, _90596, csa)), 429 ^ _75096 : [(430 ^ _75096) ^ [_90691] : [model(_90691, _90598), model(_90691, not _90596)]]], (459 ^ _75096) ^ [_91685, _91687] : [status(_91687, _91685, uns), 462 ^ _75096 : [(463 ^ _75096) ^ [_91836] : [-(model(_91836, _91687))], (465 ^ _75096) ^ [_91898] : [-(model(_91898, not _91685))]]], (447 ^ _75096) ^ [_91312, _91314] : [-(status(_91314, _91312, uns)), model(450 ^ [_91312, _91314], _91314), model(453 ^ [_91312, _91314], not _91312)], (485 ^ _75096) ^ [_92592, _92594] : [status(_92594, _92592, noc), 489 ^ _75096 : [(490 ^ _75096) ^ [] : [-(model(488 ^ [_92592, _92594], _92594))], (492 ^ _75096) ^ [] : [-(model(488 ^ [_92592, _92594], _92592))], (495 ^ _75096) ^ [] : [-(model(493 ^ [_92592, _92594], _92594))], (497 ^ _75096) ^ [] : [-(model(493 ^ [_92592, _92594], not _92592))]]], (467 ^ _75096) ^ [_92029, _92031] : [-(status(_92031, _92029, noc)), 470 ^ _75096 : [(471 ^ _75096) ^ [_92175] : [model(_92175, _92031), model(_92175, _92029)]], 476 ^ _75096 : [(477 ^ _75096) ^ [_92360] : [model(_92360, _92031), model(_92360, not _92029)]]]], input).
% 0.72/1.38  ncf('1',plain,[nota(unp, thm)],start(689 ^ 0)).
% 0.72/1.38  ncf('1.1',plain,[-(nota(unp, thm)), 541 : status(not 635 ^ [], 635 ^ [], unp), 541 : -(status(not 635 ^ [], 635 ^ [], thm))],extension(539 ^ 1,bind([[_94998, _95000, _95113, _95115], [thm, unp, 635 ^ [], not 635 ^ []]]))).
% 0.72/1.38  ncf('1.1.1',plain,[-(status(not 635 ^ [], 635 ^ [], unp)), 4 : model(639 ^ [], not 635 ^ [])],extension(2 ^ 4,bind([[_75258, _75260, _75364], [635 ^ [], not 635 ^ [], 639 ^ []]]))).
% 0.72/1.38  ncf('1.1.1.1',plain,[-(model(639 ^ [], not 635 ^ [])), 613 : -(model(639 ^ [], 635 ^ []))],extension(611 ^ 7,bind([[_97866, _97868], [635 ^ [], 639 ^ []]]))).
% 0.72/1.38  ncf('1.1.1.1.1',plain,[model(639 ^ [], 635 ^ [])],extension(641 ^ 10)).
% 0.72/1.38  ncf('1.1.2',plain,[status(not 635 ^ [], 635 ^ [], thm), 108 : model(639 ^ [], not 635 ^ []), 108 : -(model(639 ^ [], 635 ^ []))],extension(104 ^ 4,bind([[_78922, _78924, _79061], [635 ^ [], not 635 ^ [], 639 ^ []]]))).
% 0.72/1.38  ncf('1.1.2.1',plain,[-(model(639 ^ [], not 635 ^ [])), 613 : -(model(639 ^ [], 635 ^ []))],extension(611 ^ 7,bind([[_97866, _97868], [635 ^ [], 639 ^ []]]))).
% 0.72/1.38  ncf('1.1.2.1.1',plain,[model(639 ^ [], 635 ^ [])],extension(641 ^ 10)).
% 0.72/1.38  ncf('1.1.2.2',plain,[model(639 ^ [], 635 ^ [])],extension(641 ^ 7)).
% 0.72/1.38  %-----------------------------------------------------
% 0.72/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------