TSTP Solution File: KRS256+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KRS256+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 11:26:33 EDT 2023

% Result   : Theorem 0.76s 1.37s
% Output   : Proof 0.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : KRS256+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.03/0.11  % Command  : nanocop.sh %s %d
% 0.12/0.32  % Computer : n003.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu May 18 23:10:45 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.76/1.37  
% 0.76/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.76/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/1.37  %-----------------------------------------------------
% 0.76/1.37  ncf(matrix, plain, [(689 ^ _74603) ^ [] : [mighta(esa, thm)], (509 ^ _74603) ^ [_93194, _93196] : [mighta(_93196, _93194), 514 ^ _74603 : [(515 ^ _74603) ^ [] : [-(status(512 ^ [_93194, _93196], 513 ^ [_93194, _93196], _93196))], (517 ^ _74603) ^ [] : [-(status(512 ^ [_93194, _93196], 513 ^ [_93194, _93196], _93194))]]], (499 ^ _74603) ^ [_92849, _92851] : [-(mighta(_92851, _92849)), 500 ^ _74603 : [(501 ^ _74603) ^ [_92962, _92964] : [status(_92964, _92962, _92851), status(_92964, _92962, _92849)]]], (519 ^ _74603) ^ [_93677, _93679] : [522 ^ _74603 : [(523 ^ _74603) ^ [] : [-(status(520 ^ [_93677, _93679], 521 ^ [_93677, _93679], _93679))], (525 ^ _74603) ^ [] : [status(520 ^ [_93677, _93679], 521 ^ [_93677, _93679], _93677)]], -(isa(_93679, _93677))], (529 ^ _74603) ^ [_94081, _94083] : [isa(_94083, _94081), 532 ^ _74603 : [(533 ^ _74603) ^ [_94239, _94241] : [status(_94241, _94239, _94083), -(status(_94241, _94239, _94081))]]], (549 ^ _74603) ^ [_94855, _94857] : [nota(_94857, _94855), 554 ^ _74603 : [(555 ^ _74603) ^ [] : [-(status(552 ^ [_94855, _94857], 553 ^ [_94855, _94857], _94857))], (557 ^ _74603) ^ [] : [status(552 ^ [_94855, _94857], 553 ^ [_94855, _94857], _94855)]]], (539 ^ _74603) ^ [_94505, _94507] : [-(nota(_94507, _94505)), 540 ^ _74603 : [(541 ^ _74603) ^ [_94620, _94622] : [status(_94622, _94620, _94507), -(status(_94622, _94620, _94505))]]], (559 ^ _74603) ^ [_95343, _95345] : [562 ^ _74603 : [(563 ^ _74603) ^ [] : [-(status(560 ^ [_95343, _95345], 561 ^ [_95343, _95345], _95345))], (565 ^ _74603) ^ [] : [-(status(560 ^ [_95343, _95345], 561 ^ [_95343, _95345], _95343))]], -(nevera(_95345, _95343))], (569 ^ _74603) ^ [_95754, _95756] : [nevera(_95756, _95754), 572 ^ _74603 : [(573 ^ _74603) ^ [_95914, _95916] : [status(_95916, _95914, _95756), status(_95916, _95914, _95754)]]], (597 ^ _74603) ^ [_96797, _96799] : [xora(_96799, _96797), 600 ^ _74603 : [(601 ^ _74603) ^ [_96966, _96968] : [602 ^ _74603 : [(603 ^ _74603) ^ [] : [-(status(_96968, _96966, _96799))], (605 ^ _74603) ^ [] : [status(_96968, _96966, _96797)]], 606 ^ _74603 : [(607 ^ _74603) ^ [] : [-(status(_96968, _96966, _96797))], (609 ^ _74603) ^ [] : [status(_96968, _96966, _96799)]]]]], (579 ^ _74603) ^ [_96181, _96183] : [-(xora(_96183, _96181)), 582 ^ _74603 : [(583 ^ _74603) ^ [] : [status(580 ^ [_96181, _96183], 581 ^ [_96181, _96183], _96183), -(status(580 ^ [_96181, _96183], 581 ^ [_96181, _96183], _96181))], (589 ^ _74603) ^ [] : [status(580 ^ [_96181, _96183], 581 ^ [_96181, _96183], _96181), -(status(580 ^ [_96181, _96183], 581 ^ [_96181, _96183], _96183))]]], (611 ^ _74603) ^ [_97373, _97375] : [612 ^ _74603 : [(613 ^ _74603) ^ [] : [-(model(_97375, _97373))], (615 ^ _74603) ^ [] : [model(_97375, not _97373)]], 616 ^ _74603 : [(617 ^ _74603) ^ [] : [-(model(_97375, not _97373))], (619 ^ _74603) ^ [] : [model(_97375, _97373)]]], (621 ^ _74603) ^ [_97769, _97771] : [model(_97771, _97769), model(_97771, not _97769)], (627 ^ _74603) ^ [_97936, _97938] : [-(model(_97938, not _97936)), -(model(_97938, _97936))], (634 ^ _74603) ^ [_98168] : [-(model(_98168, 632 ^ []))], (638 ^ _74603) ^ [] : [-(model(636 ^ [], 635 ^ []))], (641 ^ _74603) ^ [] : [model(639 ^ [], 635 ^ [])], (644 ^ _74603) ^ [_98527] : [model(_98527, 642 ^ [])], (649 ^ _74603) ^ [] : [-(model(647 ^ [], 645 ^ []))], (651 ^ _74603) ^ [] : [-(model(647 ^ [], 646 ^ []))], (654 ^ _74603) ^ [] : [model(652 ^ [], 645 ^ []), model(652 ^ [], 646 ^ [])], (682 ^ _74603) ^ [] : [-(model(678 ^ [], 679 ^ []))], (684 ^ _74603) ^ [] : [model(678 ^ [], 680 ^ [])], (687 ^ _74603) ^ [] : [-(model(685 ^ [], 680 ^ []))], (663 ^ _74603) ^ [] : [-(model(661 ^ [], 659 ^ []))], (672 ^ _74603) ^ [] : [model(670 ^ [], 659 ^ [])], (674 ^ _74603) ^ [] : [-(model(670 ^ [], 660 ^ []))], (677 ^ _74603) ^ [] : [model(675 ^ [], 660 ^ [])], (665 ^ _74603) ^ [_99380] : [model(_99380, 659 ^ []), -(model(_99380, 660 ^ []))], (2 ^ _74603) ^ [_74765, _74767] : [3 ^ _74603 : [(4 ^ _74603) ^ [_74871] : [model(_74871, _74767)], (7 ^ _74603) ^ [] : [-(model(5 ^ [_74765, _74767], _74765))]], -(status(_74767, _74765, unp))], (11 ^ _74603) ^ [_75086, _75088] : [status(_75088, _75086, unp), -(model(16 ^ [_75086, _75088], _75088)), 19 ^ _74603 : [(20 ^ _74603) ^ [_75350] : [model(_75350, _75086)]]], (22 ^ _74603) ^ [_75501, _75503] : [24 ^ _74603 : [(25 ^ _74603) ^ [] : [-(model(23 ^ [_75501, _75503], _75503))], (27 ^ _74603) ^ [_75701] : [model(_75701, _75501)]], -(status(_75503, _75501, sap))], (31 ^ _74603) ^ [_75818, _75820] : [status(_75820, _75818, sap), 36 ^ _74603 : [(37 ^ _74603) ^ [_75980] : [model(_75980, _75820)]], -(model(38 ^ [_75818, _75820], _75818))], (42 ^ _74603) ^ [_76229, _76231] : [-(status(_76231, _76229, esa)), 46 ^ _74603 : [(47 ^ _74603) ^ [] : [-(model(45 ^ [_76229, _76231], _76231))], (49 ^ _74603) ^ [_76472] : [model(_76472, _76229)]], 51 ^ _74603 : [(52 ^ _74603) ^ [] : [-(model(50 ^ [_76229, _76231], _76229))], (54 ^ _74603) ^ [_76653] : [model(_76653, _76231)]]], (58 ^ _74603) ^ [_76775, _76777] : [status(_76777, _76775, esa), 61 ^ _74603 : [(62 ^ _74603) ^ [] : [63 ^ _74603 : [(64 ^ _74603) ^ [_76966] : [model(_76966, _76777)]], -(model(65 ^ [_76775, _76777], _76775))], (69 ^ _74603) ^ [] : [70 ^ _74603 : [(71 ^ _74603) ^ [_77164] : [model(_77164, _76775)]], -(model(72 ^ [_76775, _76777], _76777))]]], (86 ^ _74603) ^ [_77732, _77734] : [status(_77734, _77732, sat), 90 ^ _74603 : [(91 ^ _74603) ^ [] : [-(model(89 ^ [_77732, _77734], _77734))], (93 ^ _74603) ^ [] : [-(model(89 ^ [_77732, _77734], _77732))]]], (76 ^ _74603) ^ [_77416, _77418] : [-(status(_77418, _77416, sat)), 77 ^ _74603 : [(78 ^ _74603) ^ [_77509] : [model(_77509, _77418), model(_77509, _77416)]]], (95 ^ _74603) ^ [_78120, _78122] : [97 ^ _74603 : [(98 ^ _74603) ^ [] : [-(model(96 ^ [_78120, _78122], _78122))], (100 ^ _74603) ^ [] : [model(96 ^ [_78120, _78122], _78120)]], -(status(_78122, _78120, thm))], (104 ^ _74603) ^ [_78429, _78431] : [status(_78431, _78429, thm), 107 ^ _74603 : [(108 ^ _74603) ^ [_78568] : [model(_78568, _78431), -(model(_78568, _78429))]]], (114 ^ _74603) ^ [_78824, _78826] : [-(status(_78826, _78824, eqv)), 117 ^ _74603 : [(118 ^ _74603) ^ [_78946] : [model(_78946, _78826)]], 122 ^ _74603 : [(123 ^ _74603) ^ [] : [-(model(119 ^ [_78824, _78826], _78826))], (125 ^ _74603) ^ [] : [model(119 ^ [_78824, _78826], _78824)]], 126 ^ _74603 : [(127 ^ _74603) ^ [] : [-(model(119 ^ [_78824, _78826], _78824))], (129 ^ _74603) ^ [] : [model(119 ^ [_78824, _78826], _78826)]]], (133 ^ _74603) ^ [_79419, _79421] : [status(_79421, _79419, eqv), 137 ^ _74603 : [(138 ^ _74603) ^ [] : [-(model(136 ^ [_79419, _79421], _79421))], (140 ^ _74603) ^ [_79716] : [model(_79716, _79421), -(model(_79716, _79419))], (146 ^ _74603) ^ [_79888] : [model(_79888, _79419), -(model(_79888, _79421))]]], (163 ^ _74603) ^ [_80480, _80482] : [status(_80482, _80480, tac), 167 ^ _74603 : [(168 ^ _74603) ^ [] : [-(model(166 ^ [_80480, _80482], _80482))], (170 ^ _74603) ^ [_80727] : [-(model(_80727, _80480))]]], (152 ^ _74603) ^ [_80148, _80150] : [-(status(_80150, _80148, tac)), 155 ^ _74603 : [(156 ^ _74603) ^ [_80264] : [model(_80264, _80150)]], model(157 ^ [_80148, _80150], _80148)], (193 ^ _74603) ^ [_81542, _81544] : [status(_81544, _81542, wec), 197 ^ _74603 : [(198 ^ _74603) ^ [] : [-(model(196 ^ [_81542, _81544], _81544))], (207 ^ _74603) ^ [] : [-(model(205 ^ [_81542, _81544], _81542))], (209 ^ _74603) ^ [] : [model(205 ^ [_81542, _81544], _81544)], (200 ^ _74603) ^ [_81849] : [model(_81849, _81544), -(model(_81849, _81542))]]], (172 ^ _74603) ^ [_80876, _80878] : [-(status(_80878, _80876, wec)), 175 ^ _74603 : [(176 ^ _74603) ^ [_81017] : [model(_81017, _80878)]], 180 ^ _74603 : [(181 ^ _74603) ^ [] : [-(model(179 ^ [_80876, _80878], _80878))], (183 ^ _74603) ^ [] : [model(179 ^ [_80876, _80878], _80876)]], 184 ^ _74603 : [(185 ^ _74603) ^ [_81306] : [model(_81306, _80876), -(model(_81306, _80878))]]], (211 ^ _74603) ^ [_82291, _82293] : [-(status(_82293, _82291, eth)), 214 ^ _74603 : [(215 ^ _74603) ^ [_82426] : [model(_82426, _82293)]], 218 ^ _74603 : [(219 ^ _74603) ^ [_82522] : [-(model(_82522, _82293))]], 223 ^ _74603 : [(224 ^ _74603) ^ [] : [-(model(220 ^ [_82291, _82293], _82293))], (226 ^ _74603) ^ [] : [model(220 ^ [_82291, _82293], _82291)]], 227 ^ _74603 : [(228 ^ _74603) ^ [] : [-(model(220 ^ [_82291, _82293], _82291))], (230 ^ _74603) ^ [] : [model(220 ^ [_82291, _82293], _82293)]]], (234 ^ _74603) ^ [_83000, _83002] : [status(_83002, _83000, eth), 238 ^ _74603 : [(239 ^ _74603) ^ [] : [-(model(237 ^ [_83000, _83002], _83002))], (242 ^ _74603) ^ [] : [model(240 ^ [_83000, _83002], _83002)], (244 ^ _74603) ^ [_83429] : [model(_83429, _83002), -(model(_83429, _83000))], (250 ^ _74603) ^ [_83601] : [model(_83601, _83000), -(model(_83601, _83002))]]], (267 ^ _74603) ^ [_84186, _84188] : [status(_84188, _84186, tau), 270 ^ _74603 : [(271 ^ _74603) ^ [_84330] : [-(model(_84330, _84188))], (273 ^ _74603) ^ [_84378] : [-(model(_84378, _84186))]]], (256 ^ _74603) ^ [_83863, _83865] : [-(status(_83865, _83863, tau)), model(257 ^ [_83863, _83865], _83865), model(257 ^ [_83863, _83865], _83863)], (290 ^ _74603) ^ [_84973, _84975] : [status(_84975, _84973, wtc), 294 ^ _74603 : [(295 ^ _74603) ^ [] : [-(model(293 ^ [_84973, _84975], _84975))], (298 ^ _74603) ^ [] : [model(296 ^ [_84973, _84975], _84975)], (300 ^ _74603) ^ [_85352] : [-(model(_85352, _84973))]]], (275 ^ _74603) ^ [_84527, _84529] : [-(status(_84529, _84527, wtc)), 278 ^ _74603 : [(279 ^ _74603) ^ [_84656] : [model(_84656, _84529)]], 282 ^ _74603 : [(283 ^ _74603) ^ [_84752] : [-(model(_84752, _84529))]], model(284 ^ [_84527, _84529], _84527)], (327 ^ _74603) ^ [_86283, _86285] : [status(_86285, _86283, wth), 331 ^ _74603 : [(332 ^ _74603) ^ [] : [-(model(330 ^ [_86283, _86285], _86285))], (341 ^ _74603) ^ [] : [-(model(339 ^ [_86283, _86285], _86283))], (343 ^ _74603) ^ [] : [model(339 ^ [_86283, _86285], _86285)], (346 ^ _74603) ^ [] : [model(344 ^ [_86283, _86285], _86283)], (334 ^ _74603) ^ [_86603] : [model(_86603, _86285), -(model(_86603, _86283))]]], (302 ^ _74603) ^ [_85503, _85505] : [-(status(_85505, _85503, wth)), 305 ^ _74603 : [(306 ^ _74603) ^ [_85657] : [model(_85657, _85505)]], 310 ^ _74603 : [(311 ^ _74603) ^ [] : [-(model(309 ^ [_85503, _85505], _85505))], (313 ^ _74603) ^ [] : [model(309 ^ [_85503, _85505], _85503)]], 322 ^ _74603 : [(323 ^ _74603) ^ [_86153] : [-(model(_86153, _85503))]], 316 ^ _74603 : [(317 ^ _74603) ^ [_85980] : [model(_85980, _85503), -(model(_85980, _85505))]]], (348 ^ _74603) ^ [_87170, _87172] : [-(model(349 ^ [_87170, _87172], _87172)), -(status(_87172, _87170, cax))], (355 ^ _74603) ^ [_87394, _87396] : [status(_87396, _87394, cax), 358 ^ _74603 : [(359 ^ _74603) ^ [_87513] : [model(_87513, _87396)]]], (372 ^ _74603) ^ [_87995, _87997] : [status(_87997, _87995, sca), 375 ^ _74603 : [(376 ^ _74603) ^ [_88145] : [model(_88145, _87997)], (379 ^ _74603) ^ [] : [-(model(377 ^ [_87995, _87997], _87995))]]], (361 ^ _74603) ^ [_87660, _87662] : [-(status(_87662, _87660, sca)), -(model(364 ^ [_87660, _87662], _87662)), 367 ^ _74603 : [(368 ^ _74603) ^ [_87876] : [model(_87876, _87660)]]], (393 ^ _74603) ^ [_88762, _88764] : [status(_88764, _88762, tca), 396 ^ _74603 : [(397 ^ _74603) ^ [_88912] : [model(_88912, _88764)], (399 ^ _74603) ^ [_88974] : [-(model(_88974, _88762))]]], (381 ^ _74603) ^ [_88392, _88394] : [-(status(_88394, _88392, tca)), -(model(384 ^ [_88392, _88394], _88394)), model(387 ^ [_88392, _88394], _88392)], (416 ^ _74603) ^ [_89572, _89574] : [status(_89574, _89572, wca), 419 ^ _74603 : [(420 ^ _74603) ^ [_89735] : [model(_89735, _89574)], (423 ^ _74603) ^ [] : [-(model(421 ^ [_89572, _89574], _89572))], (426 ^ _74603) ^ [] : [model(424 ^ [_89572, _89574], _89572)]]], (401 ^ _74603) ^ [_89123, _89125] : [-(status(_89125, _89123, wca)), -(model(404 ^ [_89123, _89125], _89125)), 409 ^ _74603 : [(410 ^ _74603) ^ [_89386] : [model(_89386, _89123)]], 411 ^ _74603 : [(412 ^ _74603) ^ [_89448] : [-(model(_89448, _89123))]]], (438 ^ _74603) ^ [_90425, _90427] : [status(_90427, _90425, csa), 442 ^ _74603 : [(443 ^ _74603) ^ [] : [-(model(441 ^ [_90425, _90427], _90427))], (445 ^ _74603) ^ [] : [-(model(441 ^ [_90425, _90427], not _90425))]]], (428 ^ _74603) ^ [_90103, _90105] : [-(status(_90105, _90103, csa)), 429 ^ _74603 : [(430 ^ _74603) ^ [_90198] : [model(_90198, _90105), model(_90198, not _90103)]]], (459 ^ _74603) ^ [_91192, _91194] : [status(_91194, _91192, uns), 462 ^ _74603 : [(463 ^ _74603) ^ [_91343] : [-(model(_91343, _91194))], (465 ^ _74603) ^ [_91405] : [-(model(_91405, not _91192))]]], (447 ^ _74603) ^ [_90819, _90821] : [-(status(_90821, _90819, uns)), model(450 ^ [_90819, _90821], _90821), model(453 ^ [_90819, _90821], not _90819)], (485 ^ _74603) ^ [_92099, _92101] : [status(_92101, _92099, noc), 489 ^ _74603 : [(490 ^ _74603) ^ [] : [-(model(488 ^ [_92099, _92101], _92101))], (492 ^ _74603) ^ [] : [-(model(488 ^ [_92099, _92101], _92099))], (495 ^ _74603) ^ [] : [-(model(493 ^ [_92099, _92101], _92101))], (497 ^ _74603) ^ [] : [-(model(493 ^ [_92099, _92101], not _92099))]]], (467 ^ _74603) ^ [_91536, _91538] : [-(status(_91538, _91536, noc)), 470 ^ _74603 : [(471 ^ _74603) ^ [_91682] : [model(_91682, _91538), model(_91682, _91536)]], 476 ^ _74603 : [(477 ^ _74603) ^ [_91867] : [model(_91867, _91538), model(_91867, not _91536)]]]], input).
% 0.76/1.37  ncf('1',plain,[mighta(esa, thm)],start(689 ^ 0)).
% 0.76/1.37  ncf('1.1',plain,[-(mighta(esa, thm)), 501 : status(642 ^ [], 642 ^ [], esa), 501 : status(642 ^ [], 642 ^ [], thm)],extension(499 ^ 1,bind([[_92849, _92851, _92962, _92964], [thm, esa, 642 ^ [], 642 ^ []]]))).
% 0.76/1.37  ncf('1.1.1',plain,[-(status(642 ^ [], 642 ^ [], esa)), 47 : -(model(45 ^ [642 ^ [], 642 ^ []], 642 ^ [])), 52 : -(model(50 ^ [642 ^ [], 642 ^ []], 642 ^ []))],extension(42 ^ 4,bind([[_76229, _76231], [642 ^ [], 642 ^ []]]))).
% 0.76/1.37  ncf('1.1.1.1',plain,[model(45 ^ [642 ^ [], 642 ^ []], 642 ^ [])],extension(644 ^ 7,bind([[_98527], [45 ^ [642 ^ [], 642 ^ []]]]))).
% 0.76/1.37  ncf('1.1.1.2',plain,[model(50 ^ [642 ^ [], 642 ^ []], 642 ^ [])],extension(644 ^ 7,bind([[_98527], [50 ^ [642 ^ [], 642 ^ []]]]))).
% 0.76/1.37  ncf('1.1.2',plain,[-(status(642 ^ [], 642 ^ [], thm)), 98 : -(model(96 ^ [642 ^ [], 642 ^ []], 642 ^ []))],extension(95 ^ 4,bind([[_78120, _78122], [642 ^ [], 642 ^ []]]))).
% 0.76/1.37  ncf('1.1.2.1',plain,[model(96 ^ [642 ^ [], 642 ^ []], 642 ^ [])],extension(644 ^ 7,bind([[_98527], [96 ^ [642 ^ [], 642 ^ []]]]))).
% 0.76/1.37  %-----------------------------------------------------
% 0.76/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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