TSTP Solution File: SET791+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET791+4 : TPTP v8.1.2. Released v3.2.0.
% 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 11:56:26 EDT 2023
% Result : Theorem 0.49s 1.40s
% Output : Proof 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET791+4 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.13 % Command : nanocop.sh %s %d
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 18 19:11:12 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.49/1.40
% 0.49/1.40 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.49/1.40 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/1.40 %-----------------------------------------------------
% 0.49/1.40 ncf(matrix, plain, [(587 ^ _80474) ^ [] : [-(order(583 ^ [], 584 ^ []))], (589 ^ _80474) ^ [] : [-(greatest(585 ^ [], 583 ^ [], 584 ^ []))], (591 ^ _80474) ^ [] : [max(585 ^ [], 583 ^ [], 584 ^ [])], (2 ^ _80474) ^ [_80598] : [-(_80598 = _80598)], (4 ^ _80474) ^ [_80705, _80707] : [_80707 = _80705, -(_80705 = _80707)], (10 ^ _80474) ^ [_80909, _80911, _80913] : [-(_80913 = _80909), _80913 = _80911, _80911 = _80909], (20 ^ _80474) ^ [_81250, _81252, _81254, _81256] : [-(total_order(_81254, _81250)), total_order(_81256, _81252), _81256 = _81254, _81252 = _81250], (34 ^ _80474) ^ [_81722, _81724, _81726, _81728, _81730, _81732] : [-(least(_81730, _81726, _81722)), least(_81732, _81728, _81724), _81732 = _81730, _81728 = _81726, _81724 = _81722], (52 ^ _80474) ^ [_82331, _82333, _82335, _82337, _82339, _82341] : [-(min(_82339, _82335, _82331)), min(_82341, _82337, _82333), _82341 = _82339, _82337 = _82335, _82333 = _82331], (70 ^ _80474) ^ [_82968, _82970, _82972, _82974, _82976, _82978, _82980, _82982] : [-(least_upper_bound(_82980, _82976, _82972, _82968)), least_upper_bound(_82982, _82978, _82974, _82970), _82982 = _82980, _82978 = _82976, _82974 = _82972, _82970 = _82968], (92 ^ _80474) ^ [_83730, _83732, _83734, _83736, _83738, _83740] : [-(upper_bound(_83738, _83734, _83730)), upper_bound(_83740, _83736, _83732), _83740 = _83738, _83736 = _83734, _83732 = _83730], (110 ^ _80474) ^ [_84367, _84369, _84371, _84373, _84375, _84377, _84379, _84381] : [-(greatest_lower_bound(_84379, _84375, _84371, _84367)), greatest_lower_bound(_84381, _84377, _84373, _84369), _84381 = _84379, _84377 = _84375, _84373 = _84371, _84369 = _84367], (132 ^ _80474) ^ [_85101, _85103, _85105, _85107] : [-(member(_85105, _85101)), member(_85107, _85103), _85107 = _85105, _85103 = _85101], (146 ^ _80474) ^ [_85573, _85575, _85577, _85579, _85581, _85583] : [-(lower_bound(_85581, _85577, _85573)), lower_bound(_85583, _85579, _85575), _85583 = _85581, _85579 = _85577, _85575 = _85573], (164 ^ _80474) ^ [_86182, _86184, _86186, _86188, _86190, _86192] : [-(apply(_86190, _86186, _86182)), apply(_86192, _86188, _86184), _86192 = _86190, _86188 = _86186, _86184 = _86182], (182 ^ _80474) ^ [_86763, _86765, _86767, _86769] : [-(order(_86767, _86763)), order(_86769, _86765), _86769 = _86767, _86765 = _86763], (196 ^ _80474) ^ [_87235, _87237, _87239, _87241, _87243, _87245] : [-(greatest(_87243, _87239, _87235)), greatest(_87245, _87241, _87237), _87245 = _87243, _87241 = _87239, _87237 = _87235], (214 ^ _80474) ^ [_87824, _87826, _87828, _87830, _87832, _87834] : [-(max(_87832, _87828, _87824)), max(_87834, _87830, _87826), _87834 = _87832, _87830 = _87828, _87826 = _87824], (282 ^ _80474) ^ [_90034, _90036] : [-(order(_90036, _90034)), 286 ^ _80474 : [(287 ^ _80474) ^ [] : [-(member(285 ^ [_90034, _90036], _90034))], (289 ^ _80474) ^ [] : [apply(_90036, 285 ^ [_90034, _90036], 285 ^ [_90034, _90036])]], 294 ^ _80474 : [(295 ^ _80474) ^ [] : [-(member(292 ^ [_90034, _90036], _90034))], (297 ^ _80474) ^ [] : [-(member(293 ^ [_90034, _90036], _90034))], (299 ^ _80474) ^ [] : [-(apply(_90036, 292 ^ [_90034, _90036], 293 ^ [_90034, _90036]))], (301 ^ _80474) ^ [] : [-(apply(_90036, 293 ^ [_90034, _90036], 292 ^ [_90034, _90036]))], (303 ^ _80474) ^ [] : [292 ^ [_90034, _90036] = 293 ^ [_90034, _90036]]], 307 ^ _80474 : [(308 ^ _80474) ^ [] : [-(member(304 ^ [_90034, _90036], _90034))], (310 ^ _80474) ^ [] : [-(member(305 ^ [_90034, _90036], _90034))], (312 ^ _80474) ^ [] : [-(member(306 ^ [_90034, _90036], _90034))], (314 ^ _80474) ^ [] : [-(apply(_90036, 304 ^ [_90034, _90036], 305 ^ [_90034, _90036]))], (316 ^ _80474) ^ [] : [-(apply(_90036, 305 ^ [_90034, _90036], 306 ^ [_90034, _90036]))], (318 ^ _80474) ^ [] : [apply(_90036, 304 ^ [_90034, _90036], 306 ^ [_90034, _90036])]]], (232 ^ _80474) ^ [_88434, _88436] : [order(_88436, _88434), 235 ^ _80474 : [(236 ^ _80474) ^ [_88688] : [member(_88688, _88434), -(apply(_88436, _88688, _88688))], (242 ^ _80474) ^ [_88910, _88912] : [member(_88912, _88434), member(_88910, _88434), -(_88912 = _88910), apply(_88436, _88912, _88910), apply(_88436, _88910, _88912)], (260 ^ _80474) ^ [_89427, _89429, _89431] : [member(_89431, _88434), member(_89429, _88434), member(_89427, _88434), -(apply(_88436, _89431, _89427)), apply(_88436, _89431, _89429), apply(_88436, _89429, _89427)]]], (342 ^ _80474) ^ [_92555, _92557] : [-(total_order(_92557, _92555)), order(_92557, _92555), 349 ^ _80474 : [(350 ^ _80474) ^ [] : [-(member(347 ^ [_92555, _92557], _92555))], (352 ^ _80474) ^ [] : [-(member(348 ^ [_92555, _92557], _92555))], (354 ^ _80474) ^ [] : [apply(_92557, 347 ^ [_92555, _92557], 348 ^ [_92555, _92557])], (356 ^ _80474) ^ [] : [apply(_92557, 348 ^ [_92555, _92557], 347 ^ [_92555, _92557])]]], (322 ^ _80474) ^ [_91927, _91929] : [total_order(_91929, _91927), 325 ^ _80474 : [(326 ^ _80474) ^ [] : [-(order(_91929, _91927))], (328 ^ _80474) ^ [_92169, _92171] : [member(_92171, _91927), member(_92169, _91927), -(apply(_91929, _92171, _92169)), -(apply(_91929, _92169, _92171))]]], (370 ^ _80474) ^ [_93666, _93668, _93670] : [372 ^ _80474 : [(373 ^ _80474) ^ [] : [-(member(371 ^ [_93666, _93668, _93670], _93668))], (375 ^ _80474) ^ [] : [apply(_93670, 371 ^ [_93666, _93668, _93670], _93666)]], -(upper_bound(_93666, _93670, _93668))], (360 ^ _80474) ^ [_93335, _93337, _93339] : [upper_bound(_93335, _93339, _93337), 363 ^ _80474 : [(364 ^ _80474) ^ [_93479] : [member(_93479, _93337), -(apply(_93339, _93479, _93335))]]], (389 ^ _80474) ^ [_94418, _94420, _94422] : [391 ^ _80474 : [(392 ^ _80474) ^ [] : [-(member(390 ^ [_94418, _94420, _94422], _94420))], (394 ^ _80474) ^ [] : [apply(_94422, _94418, 390 ^ [_94418, _94420, _94422])]], -(lower_bound(_94418, _94422, _94420))], (379 ^ _80474) ^ [_94087, _94089, _94091] : [lower_bound(_94087, _94091, _94089), 382 ^ _80474 : [(383 ^ _80474) ^ [_94231] : [member(_94231, _94089), -(apply(_94091, _94087, _94231))]]], (398 ^ _80474) ^ [_94839, _94841, _94843] : [greatest(_94839, _94843, _94841), 401 ^ _80474 : [(402 ^ _80474) ^ [] : [-(member(_94839, _94841))], (404 ^ _80474) ^ [_95057] : [member(_95057, _94841), -(apply(_94843, _95057, _94839))]]], (410 ^ _80474) ^ [_95246, _95248, _95250] : [-(greatest(_95246, _95250, _95248)), member(_95246, _95248), 416 ^ _80474 : [(417 ^ _80474) ^ [] : [-(member(415 ^ [_95246, _95248, _95250], _95248))], (419 ^ _80474) ^ [] : [apply(_95250, 415 ^ [_95246, _95248, _95250], _95246)]]], (423 ^ _80474) ^ [_95760, _95762, _95764] : [least(_95760, _95764, _95762), 426 ^ _80474 : [(427 ^ _80474) ^ [] : [-(member(_95760, _95762))], (429 ^ _80474) ^ [_95978] : [member(_95978, _95762), -(apply(_95764, _95760, _95978))]]], (435 ^ _80474) ^ [_96167, _96169, _96171] : [-(least(_96167, _96171, _96169)), member(_96167, _96169), 441 ^ _80474 : [(442 ^ _80474) ^ [] : [-(member(440 ^ [_96167, _96169, _96171], _96169))], (444 ^ _80474) ^ [] : [apply(_96171, _96167, 440 ^ [_96167, _96169, _96171])]]], (464 ^ _80474) ^ [_97191, _97193, _97195] : [-(max(_97191, _97195, _97193)), member(_97191, _97193), 470 ^ _80474 : [(471 ^ _80474) ^ [] : [-(member(469 ^ [_97191, _97193, _97195], _97193))], (473 ^ _80474) ^ [] : [-(apply(_97195, _97191, 469 ^ [_97191, _97193, _97195]))], (475 ^ _80474) ^ [] : [_97191 = 469 ^ [_97191, _97193, _97195]]]], (448 ^ _80474) ^ [_96681, _96683, _96685] : [max(_96681, _96685, _96683), 451 ^ _80474 : [(452 ^ _80474) ^ [] : [-(member(_96681, _96683))], (454 ^ _80474) ^ [_96905] : [-(_96681 = _96905), member(_96905, _96683), apply(_96685, _96681, _96905)]]], (495 ^ _80474) ^ [_98308, _98310, _98312] : [-(min(_98308, _98312, _98310)), member(_98308, _98310), 501 ^ _80474 : [(502 ^ _80474) ^ [] : [-(member(500 ^ [_98308, _98310, _98312], _98310))], (504 ^ _80474) ^ [] : [-(apply(_98312, 500 ^ [_98308, _98310, _98312], _98308))], (506 ^ _80474) ^ [] : [_98308 = 500 ^ [_98308, _98310, _98312]]]], (479 ^ _80474) ^ [_97798, _97800, _97802] : [min(_97798, _97802, _97800), 482 ^ _80474 : [(483 ^ _80474) ^ [] : [-(member(_97798, _97800))], (485 ^ _80474) ^ [_98022] : [-(_97798 = _98022), member(_98022, _97800), apply(_97802, _98022, _97798)]]], (510 ^ _80474) ^ [_98929, _98931, _98933, _98935] : [least_upper_bound(_98935, _98933, _98931, _98929), 513 ^ _80474 : [(514 ^ _80474) ^ [] : [-(member(_98935, _98933))], (516 ^ _80474) ^ [] : [-(upper_bound(_98935, _98931, _98933))], (518 ^ _80474) ^ [_99240] : [-(apply(_98931, _98935, _99240)), member(_99240, _98929), upper_bound(_99240, _98931, _98933)]]], (528 ^ _80474) ^ [_99542, _99544, _99546, _99548] : [-(least_upper_bound(_99548, _99546, _99544, _99542)), member(_99548, _99546), upper_bound(_99548, _99544, _99546), 538 ^ _80474 : [(539 ^ _80474) ^ [] : [-(member(537 ^ [_99542, _99544, _99546, _99548], _99542))], (541 ^ _80474) ^ [] : [-(upper_bound(537 ^ [_99542, _99544, _99546, _99548], _99544, _99546))], (543 ^ _80474) ^ [] : [apply(_99544, _99548, 537 ^ [_99542, _99544, _99546, _99548])]]], (547 ^ _80474) ^ [_100271, _100273, _100275, _100277] : [greatest_lower_bound(_100277, _100275, _100273, _100271), 550 ^ _80474 : [(551 ^ _80474) ^ [] : [-(member(_100277, _100275))], (553 ^ _80474) ^ [] : [-(lower_bound(_100277, _100273, _100275))], (555 ^ _80474) ^ [_100582] : [-(apply(_100273, _100582, _100277)), member(_100582, _100271), lower_bound(_100582, _100273, _100275)]]], (565 ^ _80474) ^ [_100884, _100886, _100888, _100890] : [-(greatest_lower_bound(_100890, _100888, _100886, _100884)), member(_100890, _100888), lower_bound(_100890, _100886, _100888), 575 ^ _80474 : [(576 ^ _80474) ^ [] : [-(member(574 ^ [_100884, _100886, _100888, _100890], _100884))], (578 ^ _80474) ^ [] : [-(lower_bound(574 ^ [_100884, _100886, _100888, _100890], _100886, _100888))], (580 ^ _80474) ^ [] : [apply(_100886, 574 ^ [_100884, _100886, _100888, _100890], _100890)]]]], input).
% 0.49/1.40 ncf('1',plain,[max(585 ^ [], 583 ^ [], 584 ^ [])],start(591 ^ 0)).
% 0.49/1.40 ncf('1.1',plain,[-(max(585 ^ [], 583 ^ [], 584 ^ [])), member(585 ^ [], 584 ^ []), 473 : -(apply(583 ^ [], 585 ^ [], 469 ^ [585 ^ [], 584 ^ [], 583 ^ []]))],extension(464 ^ 1,bind([[_97191, _97193, _97195], [585 ^ [], 584 ^ [], 583 ^ []]]))).
% 0.49/1.40 ncf('1.1.1',plain,[-(member(585 ^ [], 584 ^ [])), member(585 ^ [], 584 ^ []), 585 ^ [] = 585 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 2,bind([[_85101, _85103, _85105, _85107], [584 ^ [], 584 ^ [], 585 ^ [], 585 ^ []]]))).
% 0.49/1.40 ncf('1.1.1.1',plain,[-(member(585 ^ [], 584 ^ [])), member(585 ^ [], 584 ^ []), 585 ^ [] = 585 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 3,bind([[_85101, _85103, _85105, _85107], [584 ^ [], 584 ^ [], 585 ^ [], 585 ^ []]]))).
% 0.49/1.40 ncf('1.1.1.1.1',plain,[-(member(585 ^ [], 584 ^ [])), greatest(585 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 4,bind([[_94839, _94841, _94843], [585 ^ [], 584 ^ [], 583 ^ []]]))).
% 0.49/1.40 ncf('1.1.1.1.1.1',plain,[-(greatest(585 ^ [], 583 ^ [], 584 ^ []))],extension(589 ^ 5)).
% 0.49/1.40 ncf('1.1.1.1.2',plain,[-(585 ^ [] = 585 ^ [])],extension(2 ^ 4,bind([[_80598], [585 ^ []]]))).
% 0.49/1.40 ncf('1.1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 4,bind([[_80598], [584 ^ []]]))).
% 0.49/1.40 ncf('1.1.1.2',plain,[-(585 ^ [] = 585 ^ [])],extension(2 ^ 3,bind([[_80598], [585 ^ []]]))).
% 0.49/1.40 ncf('1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 3,bind([[_80598], [584 ^ []]]))).
% 0.49/1.40 ncf('1.1.2',plain,[apply(583 ^ [], 585 ^ [], 469 ^ [585 ^ [], 584 ^ [], 583 ^ []]), 242 : member(585 ^ [], 584 ^ []), 242 : member(469 ^ [585 ^ [], 584 ^ [], 583 ^ []], 584 ^ []), 242 : -(585 ^ [] = 469 ^ [585 ^ [], 584 ^ [], 583 ^ []]), 242 : apply(583 ^ [], 469 ^ [585 ^ [], 584 ^ [], 583 ^ []], 585 ^ []), 242 : order(583 ^ [], 584 ^ [])],extension(232 ^ 4,bind([[_88434, _88436, _88910, _88912], [584 ^ [], 583 ^ [], 469 ^ [585 ^ [], 584 ^ [], 583 ^ []], 585 ^ []]]))).
% 0.49/1.40 ncf('1.1.2.1',plain,[-(member(585 ^ [], 584 ^ [])), member(585 ^ [], 584 ^ []), 585 ^ [] = 585 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 7,bind([[_85101, _85103, _85105, _85107], [584 ^ [], 584 ^ [], 585 ^ [], 585 ^ []]]))).
% 0.49/1.40 ncf('1.1.2.1.1',plain,[-(member(585 ^ [], 584 ^ [])), greatest(585 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 8,bind([[_94839, _94841, _94843], [585 ^ [], 584 ^ [], 583 ^ []]]))).
% 0.49/1.40 ncf('1.1.2.1.1.1',plain,[-(greatest(585 ^ [], 583 ^ [], 584 ^ []))],extension(589 ^ 9)).
% 0.49/1.40 ncf('1.1.2.1.2',plain,[-(585 ^ [] = 585 ^ [])],extension(2 ^ 8,bind([[_80598], [585 ^ []]]))).
% 0.49/1.40 ncf('1.1.2.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 8,bind([[_80598], [584 ^ []]]))).
% 0.49/1.40 ncf('1.1.2.2',plain,[-(member(469 ^ [585 ^ [], 584 ^ [], 583 ^ []], 584 ^ []))],extension(471 ^ 7)).
% 0.49/1.40 ncf('1.1.2.3',plain,[585 ^ [] = 469 ^ [585 ^ [], 584 ^ [], 583 ^ []], -(585 ^ [] = 469 ^ [585 ^ [], 584 ^ [], 583 ^ []]), 469 ^ [585 ^ [], 584 ^ [], 583 ^ []] = 469 ^ [585 ^ [], 584 ^ [], 583 ^ []]],extension(10 ^ 7,bind([[_80909, _80911, _80913], [469 ^ [585 ^ [], 584 ^ [], 583 ^ []], 469 ^ [585 ^ [], 584 ^ [], 583 ^ []], 585 ^ []]]))).
% 0.49/1.40 ncf('1.1.2.3.1',plain,[585 ^ [] = 469 ^ [585 ^ [], 584 ^ [], 583 ^ []]],extension(475 ^ 8)).
% 0.49/1.40 ncf('1.1.2.3.2',plain,[-(469 ^ [585 ^ [], 584 ^ [], 583 ^ []] = 469 ^ [585 ^ [], 584 ^ [], 583 ^ []])],extension(2 ^ 8,bind([[_80598], [469 ^ [585 ^ [], 584 ^ [], 583 ^ []]]]))).
% 0.49/1.40 ncf('1.1.2.4',plain,[-(apply(583 ^ [], 469 ^ [585 ^ [], 584 ^ [], 583 ^ []], 585 ^ [])), 404 : member(469 ^ [585 ^ [], 584 ^ [], 583 ^ []], 584 ^ []), 404 : greatest(585 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 7,bind([[_94839, _94841, _94843, _95057], [585 ^ [], 584 ^ [], 583 ^ [], 469 ^ [585 ^ [], 584 ^ [], 583 ^ []]]]))).
% 0.49/1.40 ncf('1.1.2.4.1',plain,[-(member(469 ^ [585 ^ [], 584 ^ [], 583 ^ []], 584 ^ []))],extension(471 ^ 10)).
% 0.49/1.40 ncf('1.1.2.4.2',plain,[-(greatest(585 ^ [], 583 ^ [], 584 ^ []))],extension(589 ^ 8)).
% 0.49/1.40 ncf('1.1.2.5',plain,[-(order(583 ^ [], 584 ^ []))],extension(587 ^ 5)).
% 0.49/1.40 %-----------------------------------------------------
% 0.49/1.40 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------