TSTP Solution File: KRS217+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KRS217+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 11:26:30 EDT 2023

% Result   : Theorem 101.59s 98.74s
% Output   : Proof 101.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : KRS217+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.03/0.14  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May 18 23:07:13 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 101.59/98.74  
% 101.59/98.74  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 101.59/98.74  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.59/98.74  %-----------------------------------------------------
% 101.59/98.74  ncf(matrix, plain, [(689 ^ _75316) ^ [] : [nota(noc, thm)], (509 ^ _75316) ^ [_93907, _93909] : [mighta(_93909, _93907), 514 ^ _75316 : [(515 ^ _75316) ^ [] : [-(status(512 ^ [_93907, _93909], 513 ^ [_93907, _93909], _93909))], (517 ^ _75316) ^ [] : [-(status(512 ^ [_93907, _93909], 513 ^ [_93907, _93909], _93907))]]], (499 ^ _75316) ^ [_93562, _93564] : [-(mighta(_93564, _93562)), 500 ^ _75316 : [(501 ^ _75316) ^ [_93675, _93677] : [status(_93677, _93675, _93564), status(_93677, _93675, _93562)]]], (519 ^ _75316) ^ [_94390, _94392] : [522 ^ _75316 : [(523 ^ _75316) ^ [] : [-(status(520 ^ [_94390, _94392], 521 ^ [_94390, _94392], _94392))], (525 ^ _75316) ^ [] : [status(520 ^ [_94390, _94392], 521 ^ [_94390, _94392], _94390)]], -(isa(_94392, _94390))], (529 ^ _75316) ^ [_94794, _94796] : [isa(_94796, _94794), 532 ^ _75316 : [(533 ^ _75316) ^ [_94952, _94954] : [status(_94954, _94952, _94796), -(status(_94954, _94952, _94794))]]], (549 ^ _75316) ^ [_95568, _95570] : [nota(_95570, _95568), 554 ^ _75316 : [(555 ^ _75316) ^ [] : [-(status(552 ^ [_95568, _95570], 553 ^ [_95568, _95570], _95570))], (557 ^ _75316) ^ [] : [status(552 ^ [_95568, _95570], 553 ^ [_95568, _95570], _95568)]]], (539 ^ _75316) ^ [_95218, _95220] : [-(nota(_95220, _95218)), 540 ^ _75316 : [(541 ^ _75316) ^ [_95333, _95335] : [status(_95335, _95333, _95220), -(status(_95335, _95333, _95218))]]], (559 ^ _75316) ^ [_96056, _96058] : [562 ^ _75316 : [(563 ^ _75316) ^ [] : [-(status(560 ^ [_96056, _96058], 561 ^ [_96056, _96058], _96058))], (565 ^ _75316) ^ [] : [-(status(560 ^ [_96056, _96058], 561 ^ [_96056, _96058], _96056))]], -(nevera(_96058, _96056))], (569 ^ _75316) ^ [_96467, _96469] : [nevera(_96469, _96467), 572 ^ _75316 : [(573 ^ _75316) ^ [_96627, _96629] : [status(_96629, _96627, _96469), status(_96629, _96627, _96467)]]], (597 ^ _75316) ^ [_97510, _97512] : [xora(_97512, _97510), 600 ^ _75316 : [(601 ^ _75316) ^ [_97679, _97681] : [602 ^ _75316 : [(603 ^ _75316) ^ [] : [-(status(_97681, _97679, _97512))], (605 ^ _75316) ^ [] : [status(_97681, _97679, _97510)]], 606 ^ _75316 : [(607 ^ _75316) ^ [] : [-(status(_97681, _97679, _97510))], (609 ^ _75316) ^ [] : [status(_97681, _97679, _97512)]]]]], (579 ^ _75316) ^ [_96894, _96896] : [-(xora(_96896, _96894)), 582 ^ _75316 : [(583 ^ _75316) ^ [] : [status(580 ^ [_96894, _96896], 581 ^ [_96894, _96896], _96896), -(status(580 ^ [_96894, _96896], 581 ^ [_96894, _96896], _96894))], (589 ^ _75316) ^ [] : [status(580 ^ [_96894, _96896], 581 ^ [_96894, _96896], _96894), -(status(580 ^ [_96894, _96896], 581 ^ [_96894, _96896], _96896))]]], (611 ^ _75316) ^ [_98086, _98088] : [612 ^ _75316 : [(613 ^ _75316) ^ [] : [-(model(_98088, _98086))], (615 ^ _75316) ^ [] : [model(_98088, not _98086)]], 616 ^ _75316 : [(617 ^ _75316) ^ [] : [-(model(_98088, not _98086))], (619 ^ _75316) ^ [] : [model(_98088, _98086)]]], (621 ^ _75316) ^ [_98482, _98484] : [model(_98484, _98482), model(_98484, not _98482)], (627 ^ _75316) ^ [_98649, _98651] : [-(model(_98651, not _98649)), -(model(_98651, _98649))], (634 ^ _75316) ^ [_98881] : [-(model(_98881, 632 ^ []))], (638 ^ _75316) ^ [] : [-(model(636 ^ [], 635 ^ []))], (641 ^ _75316) ^ [] : [model(639 ^ [], 635 ^ [])], (644 ^ _75316) ^ [_99240] : [model(_99240, 642 ^ [])], (649 ^ _75316) ^ [] : [-(model(647 ^ [], 645 ^ []))], (651 ^ _75316) ^ [] : [-(model(647 ^ [], 646 ^ []))], (654 ^ _75316) ^ [] : [model(652 ^ [], 645 ^ []), model(652 ^ [], 646 ^ [])], (682 ^ _75316) ^ [] : [-(model(678 ^ [], 679 ^ []))], (684 ^ _75316) ^ [] : [model(678 ^ [], 680 ^ [])], (687 ^ _75316) ^ [] : [-(model(685 ^ [], 680 ^ []))], (663 ^ _75316) ^ [] : [-(model(661 ^ [], 659 ^ []))], (672 ^ _75316) ^ [] : [model(670 ^ [], 659 ^ [])], (674 ^ _75316) ^ [] : [-(model(670 ^ [], 660 ^ []))], (677 ^ _75316) ^ [] : [model(675 ^ [], 660 ^ [])], (665 ^ _75316) ^ [_100093] : [model(_100093, 659 ^ []), -(model(_100093, 660 ^ []))], (2 ^ _75316) ^ [_75478, _75480] : [3 ^ _75316 : [(4 ^ _75316) ^ [_75584] : [model(_75584, _75480)], (7 ^ _75316) ^ [] : [-(model(5 ^ [_75478, _75480], _75478))]], -(status(_75480, _75478, unp))], (11 ^ _75316) ^ [_75799, _75801] : [status(_75801, _75799, unp), -(model(16 ^ [_75799, _75801], _75801)), 19 ^ _75316 : [(20 ^ _75316) ^ [_76063] : [model(_76063, _75799)]]], (22 ^ _75316) ^ [_76214, _76216] : [24 ^ _75316 : [(25 ^ _75316) ^ [] : [-(model(23 ^ [_76214, _76216], _76216))], (27 ^ _75316) ^ [_76414] : [model(_76414, _76214)]], -(status(_76216, _76214, sap))], (31 ^ _75316) ^ [_76531, _76533] : [status(_76533, _76531, sap), 36 ^ _75316 : [(37 ^ _75316) ^ [_76693] : [model(_76693, _76533)]], -(model(38 ^ [_76531, _76533], _76531))], (42 ^ _75316) ^ [_76942, _76944] : [-(status(_76944, _76942, esa)), 46 ^ _75316 : [(47 ^ _75316) ^ [] : [-(model(45 ^ [_76942, _76944], _76944))], (49 ^ _75316) ^ [_77185] : [model(_77185, _76942)]], 51 ^ _75316 : [(52 ^ _75316) ^ [] : [-(model(50 ^ [_76942, _76944], _76942))], (54 ^ _75316) ^ [_77366] : [model(_77366, _76944)]]], (58 ^ _75316) ^ [_77488, _77490] : [status(_77490, _77488, esa), 61 ^ _75316 : [(62 ^ _75316) ^ [] : [63 ^ _75316 : [(64 ^ _75316) ^ [_77679] : [model(_77679, _77490)]], -(model(65 ^ [_77488, _77490], _77488))], (69 ^ _75316) ^ [] : [70 ^ _75316 : [(71 ^ _75316) ^ [_77877] : [model(_77877, _77488)]], -(model(72 ^ [_77488, _77490], _77490))]]], (86 ^ _75316) ^ [_78445, _78447] : [status(_78447, _78445, sat), 90 ^ _75316 : [(91 ^ _75316) ^ [] : [-(model(89 ^ [_78445, _78447], _78447))], (93 ^ _75316) ^ [] : [-(model(89 ^ [_78445, _78447], _78445))]]], (76 ^ _75316) ^ [_78129, _78131] : [-(status(_78131, _78129, sat)), 77 ^ _75316 : [(78 ^ _75316) ^ [_78222] : [model(_78222, _78131), model(_78222, _78129)]]], (95 ^ _75316) ^ [_78833, _78835] : [97 ^ _75316 : [(98 ^ _75316) ^ [] : [-(model(96 ^ [_78833, _78835], _78835))], (100 ^ _75316) ^ [] : [model(96 ^ [_78833, _78835], _78833)]], -(status(_78835, _78833, thm))], (104 ^ _75316) ^ [_79142, _79144] : [status(_79144, _79142, thm), 107 ^ _75316 : [(108 ^ _75316) ^ [_79281] : [model(_79281, _79144), -(model(_79281, _79142))]]], (114 ^ _75316) ^ [_79537, _79539] : [-(status(_79539, _79537, eqv)), 117 ^ _75316 : [(118 ^ _75316) ^ [_79659] : [model(_79659, _79539)]], 122 ^ _75316 : [(123 ^ _75316) ^ [] : [-(model(119 ^ [_79537, _79539], _79539))], (125 ^ _75316) ^ [] : [model(119 ^ [_79537, _79539], _79537)]], 126 ^ _75316 : [(127 ^ _75316) ^ [] : [-(model(119 ^ [_79537, _79539], _79537))], (129 ^ _75316) ^ [] : [model(119 ^ [_79537, _79539], _79539)]]], (133 ^ _75316) ^ [_80132, _80134] : [status(_80134, _80132, eqv), 137 ^ _75316 : [(138 ^ _75316) ^ [] : [-(model(136 ^ [_80132, _80134], _80134))], (140 ^ _75316) ^ [_80429] : [model(_80429, _80134), -(model(_80429, _80132))], (146 ^ _75316) ^ [_80601] : [model(_80601, _80132), -(model(_80601, _80134))]]], (163 ^ _75316) ^ [_81193, _81195] : [status(_81195, _81193, tac), 167 ^ _75316 : [(168 ^ _75316) ^ [] : [-(model(166 ^ [_81193, _81195], _81195))], (170 ^ _75316) ^ [_81440] : [-(model(_81440, _81193))]]], (152 ^ _75316) ^ [_80861, _80863] : [-(status(_80863, _80861, tac)), 155 ^ _75316 : [(156 ^ _75316) ^ [_80977] : [model(_80977, _80863)]], model(157 ^ [_80861, _80863], _80861)], (193 ^ _75316) ^ [_82255, _82257] : [status(_82257, _82255, wec), 197 ^ _75316 : [(198 ^ _75316) ^ [] : [-(model(196 ^ [_82255, _82257], _82257))], (207 ^ _75316) ^ [] : [-(model(205 ^ [_82255, _82257], _82255))], (209 ^ _75316) ^ [] : [model(205 ^ [_82255, _82257], _82257)], (200 ^ _75316) ^ [_82562] : [model(_82562, _82257), -(model(_82562, _82255))]]], (172 ^ _75316) ^ [_81589, _81591] : [-(status(_81591, _81589, wec)), 175 ^ _75316 : [(176 ^ _75316) ^ [_81730] : [model(_81730, _81591)]], 180 ^ _75316 : [(181 ^ _75316) ^ [] : [-(model(179 ^ [_81589, _81591], _81591))], (183 ^ _75316) ^ [] : [model(179 ^ [_81589, _81591], _81589)]], 184 ^ _75316 : [(185 ^ _75316) ^ [_82019] : [model(_82019, _81589), -(model(_82019, _81591))]]], (211 ^ _75316) ^ [_83004, _83006] : [-(status(_83006, _83004, eth)), 214 ^ _75316 : [(215 ^ _75316) ^ [_83139] : [model(_83139, _83006)]], 218 ^ _75316 : [(219 ^ _75316) ^ [_83235] : [-(model(_83235, _83006))]], 223 ^ _75316 : [(224 ^ _75316) ^ [] : [-(model(220 ^ [_83004, _83006], _83006))], (226 ^ _75316) ^ [] : [model(220 ^ [_83004, _83006], _83004)]], 227 ^ _75316 : [(228 ^ _75316) ^ [] : [-(model(220 ^ [_83004, _83006], _83004))], (230 ^ _75316) ^ [] : [model(220 ^ [_83004, _83006], _83006)]]], (234 ^ _75316) ^ [_83713, _83715] : [status(_83715, _83713, eth), 238 ^ _75316 : [(239 ^ _75316) ^ [] : [-(model(237 ^ [_83713, _83715], _83715))], (242 ^ _75316) ^ [] : [model(240 ^ [_83713, _83715], _83715)], (244 ^ _75316) ^ [_84142] : [model(_84142, _83715), -(model(_84142, _83713))], (250 ^ _75316) ^ [_84314] : [model(_84314, _83713), -(model(_84314, _83715))]]], (267 ^ _75316) ^ [_84899, _84901] : [status(_84901, _84899, tau), 270 ^ _75316 : [(271 ^ _75316) ^ [_85043] : [-(model(_85043, _84901))], (273 ^ _75316) ^ [_85091] : [-(model(_85091, _84899))]]], (256 ^ _75316) ^ [_84576, _84578] : [-(status(_84578, _84576, tau)), model(257 ^ [_84576, _84578], _84578), model(257 ^ [_84576, _84578], _84576)], (290 ^ _75316) ^ [_85686, _85688] : [status(_85688, _85686, wtc), 294 ^ _75316 : [(295 ^ _75316) ^ [] : [-(model(293 ^ [_85686, _85688], _85688))], (298 ^ _75316) ^ [] : [model(296 ^ [_85686, _85688], _85688)], (300 ^ _75316) ^ [_86065] : [-(model(_86065, _85686))]]], (275 ^ _75316) ^ [_85240, _85242] : [-(status(_85242, _85240, wtc)), 278 ^ _75316 : [(279 ^ _75316) ^ [_85369] : [model(_85369, _85242)]], 282 ^ _75316 : [(283 ^ _75316) ^ [_85465] : [-(model(_85465, _85242))]], model(284 ^ [_85240, _85242], _85240)], (327 ^ _75316) ^ [_86996, _86998] : [status(_86998, _86996, wth), 331 ^ _75316 : [(332 ^ _75316) ^ [] : [-(model(330 ^ [_86996, _86998], _86998))], (341 ^ _75316) ^ [] : [-(model(339 ^ [_86996, _86998], _86996))], (343 ^ _75316) ^ [] : [model(339 ^ [_86996, _86998], _86998)], (346 ^ _75316) ^ [] : [model(344 ^ [_86996, _86998], _86996)], (334 ^ _75316) ^ [_87316] : [model(_87316, _86998), -(model(_87316, _86996))]]], (302 ^ _75316) ^ [_86216, _86218] : [-(status(_86218, _86216, wth)), 305 ^ _75316 : [(306 ^ _75316) ^ [_86370] : [model(_86370, _86218)]], 310 ^ _75316 : [(311 ^ _75316) ^ [] : [-(model(309 ^ [_86216, _86218], _86218))], (313 ^ _75316) ^ [] : [model(309 ^ [_86216, _86218], _86216)]], 322 ^ _75316 : [(323 ^ _75316) ^ [_86866] : [-(model(_86866, _86216))]], 316 ^ _75316 : [(317 ^ _75316) ^ [_86693] : [model(_86693, _86216), -(model(_86693, _86218))]]], (348 ^ _75316) ^ [_87883, _87885] : [-(model(349 ^ [_87883, _87885], _87885)), -(status(_87885, _87883, cax))], (355 ^ _75316) ^ [_88107, _88109] : [status(_88109, _88107, cax), 358 ^ _75316 : [(359 ^ _75316) ^ [_88226] : [model(_88226, _88109)]]], (372 ^ _75316) ^ [_88708, _88710] : [status(_88710, _88708, sca), 375 ^ _75316 : [(376 ^ _75316) ^ [_88858] : [model(_88858, _88710)], (379 ^ _75316) ^ [] : [-(model(377 ^ [_88708, _88710], _88708))]]], (361 ^ _75316) ^ [_88373, _88375] : [-(status(_88375, _88373, sca)), -(model(364 ^ [_88373, _88375], _88375)), 367 ^ _75316 : [(368 ^ _75316) ^ [_88589] : [model(_88589, _88373)]]], (393 ^ _75316) ^ [_89475, _89477] : [status(_89477, _89475, tca), 396 ^ _75316 : [(397 ^ _75316) ^ [_89625] : [model(_89625, _89477)], (399 ^ _75316) ^ [_89687] : [-(model(_89687, _89475))]]], (381 ^ _75316) ^ [_89105, _89107] : [-(status(_89107, _89105, tca)), -(model(384 ^ [_89105, _89107], _89107)), model(387 ^ [_89105, _89107], _89105)], (416 ^ _75316) ^ [_90285, _90287] : [status(_90287, _90285, wca), 419 ^ _75316 : [(420 ^ _75316) ^ [_90448] : [model(_90448, _90287)], (423 ^ _75316) ^ [] : [-(model(421 ^ [_90285, _90287], _90285))], (426 ^ _75316) ^ [] : [model(424 ^ [_90285, _90287], _90285)]]], (401 ^ _75316) ^ [_89836, _89838] : [-(status(_89838, _89836, wca)), -(model(404 ^ [_89836, _89838], _89838)), 409 ^ _75316 : [(410 ^ _75316) ^ [_90099] : [model(_90099, _89836)]], 411 ^ _75316 : [(412 ^ _75316) ^ [_90161] : [-(model(_90161, _89836))]]], (438 ^ _75316) ^ [_91138, _91140] : [status(_91140, _91138, csa), 442 ^ _75316 : [(443 ^ _75316) ^ [] : [-(model(441 ^ [_91138, _91140], _91140))], (445 ^ _75316) ^ [] : [-(model(441 ^ [_91138, _91140], not _91138))]]], (428 ^ _75316) ^ [_90816, _90818] : [-(status(_90818, _90816, csa)), 429 ^ _75316 : [(430 ^ _75316) ^ [_90911] : [model(_90911, _90818), model(_90911, not _90816)]]], (459 ^ _75316) ^ [_91905, _91907] : [status(_91907, _91905, uns), 462 ^ _75316 : [(463 ^ _75316) ^ [_92056] : [-(model(_92056, _91907))], (465 ^ _75316) ^ [_92118] : [-(model(_92118, not _91905))]]], (447 ^ _75316) ^ [_91532, _91534] : [-(status(_91534, _91532, uns)), model(450 ^ [_91532, _91534], _91534), model(453 ^ [_91532, _91534], not _91532)], (485 ^ _75316) ^ [_92812, _92814] : [status(_92814, _92812, noc), 489 ^ _75316 : [(490 ^ _75316) ^ [] : [-(model(488 ^ [_92812, _92814], _92814))], (492 ^ _75316) ^ [] : [-(model(488 ^ [_92812, _92814], _92812))], (495 ^ _75316) ^ [] : [-(model(493 ^ [_92812, _92814], _92814))], (497 ^ _75316) ^ [] : [-(model(493 ^ [_92812, _92814], not _92812))]]], (467 ^ _75316) ^ [_92249, _92251] : [-(status(_92251, _92249, noc)), 470 ^ _75316 : [(471 ^ _75316) ^ [_92395] : [model(_92395, _92251), model(_92395, _92249)]], 476 ^ _75316 : [(477 ^ _75316) ^ [_92580] : [model(_92580, _92251), model(_92580, not _92249)]]]], input).
% 101.59/98.74  ncf('1',plain,[nota(noc, thm)],start(689 ^ 0)).
% 101.59/98.74  ncf('1.1',plain,[-(nota(noc, thm)), 541 : status(632 ^ [], 635 ^ [], noc), 541 : -(status(632 ^ [], 635 ^ [], thm))],extension(539 ^ 1,bind([[_95218, _95220, _95333, _95335], [thm, noc, 635 ^ [], 632 ^ []]]))).
% 101.59/98.74  ncf('1.1.1',plain,[-(status(632 ^ [], 635 ^ [], noc)), 471 : model(636 ^ [], 632 ^ []), 471 : model(636 ^ [], 635 ^ []), 477 : model(639 ^ [], 632 ^ []), 477 : model(639 ^ [], not 635 ^ [])],extension(467 ^ 4,bind([[_92249, _92251, _92395, _92580], [635 ^ [], 632 ^ [], 636 ^ [], 639 ^ []]]))).
% 101.59/98.74  ncf('1.1.1.1',plain,[-(model(636 ^ [], 632 ^ []))],extension(634 ^ 7,bind([[_98881], [636 ^ []]]))).
% 101.59/98.74  ncf('1.1.1.2',plain,[-(model(636 ^ [], 635 ^ []))],extension(638 ^ 7)).
% 101.59/98.74  ncf('1.1.1.3',plain,[-(model(639 ^ [], 632 ^ []))],extension(634 ^ 7,bind([[_98881], [639 ^ []]]))).
% 101.59/98.74  ncf('1.1.1.4',plain,[-(model(639 ^ [], not 635 ^ [])), 613 : -(model(639 ^ [], 635 ^ []))],extension(611 ^ 7,bind([[_98086, _98088], [635 ^ [], 639 ^ []]]))).
% 101.59/98.74  ncf('1.1.1.4.1',plain,[model(639 ^ [], 635 ^ [])],extension(641 ^ 10)).
% 101.59/98.74  ncf('1.1.2',plain,[status(632 ^ [], 635 ^ [], thm), 108 : model(639 ^ [], 632 ^ []), 108 : -(model(639 ^ [], 635 ^ []))],extension(104 ^ 4,bind([[_79142, _79144, _79281], [635 ^ [], 632 ^ [], 639 ^ []]]))).
% 101.59/98.74  ncf('1.1.2.1',plain,[-(model(639 ^ [], 632 ^ []))],extension(634 ^ 7,bind([[_98881], [639 ^ []]]))).
% 101.59/98.74  ncf('1.1.2.2',plain,[model(639 ^ [], 635 ^ [])],extension(641 ^ 7)).
% 101.59/98.74  %-----------------------------------------------------
% 101.59/98.74  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------