TSTP Solution File: SET789+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET789+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n002.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 0.29s 1.37s
% Output : Proof 0.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET789+4 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.11 % Command : nanocop.sh %s %d
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 18 19:31:49 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.29/1.37
% 0.29/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.29/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/1.37 %-----------------------------------------------------
% 0.29/1.37 ncf(matrix, plain, [(587 ^ _79775) ^ [] : [-(order(583 ^ [], 584 ^ []))], (589 ^ _79775) ^ [] : [-(greatest(585 ^ [], 583 ^ [], 584 ^ []))], (592 ^ _79775) ^ [] : [-(greatest(590 ^ [], 583 ^ [], 584 ^ []))], (594 ^ _79775) ^ [] : [585 ^ [] = 590 ^ []], (2 ^ _79775) ^ [_79899] : [-(_79899 = _79899)], (4 ^ _79775) ^ [_80006, _80008] : [_80008 = _80006, -(_80006 = _80008)], (10 ^ _79775) ^ [_80210, _80212, _80214] : [-(_80214 = _80210), _80214 = _80212, _80212 = _80210], (20 ^ _79775) ^ [_80551, _80553, _80555, _80557] : [-(total_order(_80555, _80551)), total_order(_80557, _80553), _80557 = _80555, _80553 = _80551], (34 ^ _79775) ^ [_81023, _81025, _81027, _81029, _81031, _81033] : [-(least(_81031, _81027, _81023)), least(_81033, _81029, _81025), _81033 = _81031, _81029 = _81027, _81025 = _81023], (52 ^ _79775) ^ [_81632, _81634, _81636, _81638, _81640, _81642] : [-(max(_81640, _81636, _81632)), max(_81642, _81638, _81634), _81642 = _81640, _81638 = _81636, _81634 = _81632], (70 ^ _79775) ^ [_82241, _82243, _82245, _82247, _82249, _82251] : [-(min(_82249, _82245, _82241)), min(_82251, _82247, _82243), _82251 = _82249, _82247 = _82245, _82243 = _82241], (88 ^ _79775) ^ [_82878, _82880, _82882, _82884, _82886, _82888, _82890, _82892] : [-(least_upper_bound(_82890, _82886, _82882, _82878)), least_upper_bound(_82892, _82888, _82884, _82880), _82892 = _82890, _82888 = _82886, _82884 = _82882, _82880 = _82878], (110 ^ _79775) ^ [_83640, _83642, _83644, _83646, _83648, _83650] : [-(upper_bound(_83648, _83644, _83640)), upper_bound(_83650, _83646, _83642), _83650 = _83648, _83646 = _83644, _83642 = _83640], (128 ^ _79775) ^ [_84277, _84279, _84281, _84283, _84285, _84287, _84289, _84291] : [-(greatest_lower_bound(_84289, _84285, _84281, _84277)), greatest_lower_bound(_84291, _84287, _84283, _84279), _84291 = _84289, _84287 = _84285, _84283 = _84281, _84279 = _84277], (150 ^ _79775) ^ [_85011, _85013, _85015, _85017] : [-(member(_85015, _85011)), member(_85017, _85013), _85017 = _85015, _85013 = _85011], (164 ^ _79775) ^ [_85483, _85485, _85487, _85489, _85491, _85493] : [-(lower_bound(_85491, _85487, _85483)), lower_bound(_85493, _85489, _85485), _85493 = _85491, _85489 = _85487, _85485 = _85483], (182 ^ _79775) ^ [_86092, _86094, _86096, _86098, _86100, _86102] : [-(apply(_86100, _86096, _86092)), apply(_86102, _86098, _86094), _86102 = _86100, _86098 = _86096, _86094 = _86092], (200 ^ _79775) ^ [_86673, _86675, _86677, _86679] : [-(order(_86677, _86673)), order(_86679, _86675), _86679 = _86677, _86675 = _86673], (214 ^ _79775) ^ [_87125, _87127, _87129, _87131, _87133, _87135] : [-(greatest(_87133, _87129, _87125)), greatest(_87135, _87131, _87127), _87135 = _87133, _87131 = _87129, _87127 = _87125], (282 ^ _79775) ^ [_89335, _89337] : [-(order(_89337, _89335)), 286 ^ _79775 : [(287 ^ _79775) ^ [] : [-(member(285 ^ [_89335, _89337], _89335))], (289 ^ _79775) ^ [] : [apply(_89337, 285 ^ [_89335, _89337], 285 ^ [_89335, _89337])]], 294 ^ _79775 : [(295 ^ _79775) ^ [] : [-(member(292 ^ [_89335, _89337], _89335))], (297 ^ _79775) ^ [] : [-(member(293 ^ [_89335, _89337], _89335))], (299 ^ _79775) ^ [] : [-(apply(_89337, 292 ^ [_89335, _89337], 293 ^ [_89335, _89337]))], (301 ^ _79775) ^ [] : [-(apply(_89337, 293 ^ [_89335, _89337], 292 ^ [_89335, _89337]))], (303 ^ _79775) ^ [] : [292 ^ [_89335, _89337] = 293 ^ [_89335, _89337]]], 307 ^ _79775 : [(308 ^ _79775) ^ [] : [-(member(304 ^ [_89335, _89337], _89335))], (310 ^ _79775) ^ [] : [-(member(305 ^ [_89335, _89337], _89335))], (312 ^ _79775) ^ [] : [-(member(306 ^ [_89335, _89337], _89335))], (314 ^ _79775) ^ [] : [-(apply(_89337, 304 ^ [_89335, _89337], 305 ^ [_89335, _89337]))], (316 ^ _79775) ^ [] : [-(apply(_89337, 305 ^ [_89335, _89337], 306 ^ [_89335, _89337]))], (318 ^ _79775) ^ [] : [apply(_89337, 304 ^ [_89335, _89337], 306 ^ [_89335, _89337])]]], (232 ^ _79775) ^ [_87735, _87737] : [order(_87737, _87735), 235 ^ _79775 : [(236 ^ _79775) ^ [_87989] : [member(_87989, _87735), -(apply(_87737, _87989, _87989))], (242 ^ _79775) ^ [_88211, _88213] : [member(_88213, _87735), member(_88211, _87735), -(_88213 = _88211), apply(_87737, _88213, _88211), apply(_87737, _88211, _88213)], (260 ^ _79775) ^ [_88728, _88730, _88732] : [member(_88732, _87735), member(_88730, _87735), member(_88728, _87735), -(apply(_87737, _88732, _88728)), apply(_87737, _88732, _88730), apply(_87737, _88730, _88728)]]], (342 ^ _79775) ^ [_91856, _91858] : [-(total_order(_91858, _91856)), order(_91858, _91856), 349 ^ _79775 : [(350 ^ _79775) ^ [] : [-(member(347 ^ [_91856, _91858], _91856))], (352 ^ _79775) ^ [] : [-(member(348 ^ [_91856, _91858], _91856))], (354 ^ _79775) ^ [] : [apply(_91858, 347 ^ [_91856, _91858], 348 ^ [_91856, _91858])], (356 ^ _79775) ^ [] : [apply(_91858, 348 ^ [_91856, _91858], 347 ^ [_91856, _91858])]]], (322 ^ _79775) ^ [_91228, _91230] : [total_order(_91230, _91228), 325 ^ _79775 : [(326 ^ _79775) ^ [] : [-(order(_91230, _91228))], (328 ^ _79775) ^ [_91470, _91472] : [member(_91472, _91228), member(_91470, _91228), -(apply(_91230, _91472, _91470)), -(apply(_91230, _91470, _91472))]]], (370 ^ _79775) ^ [_92967, _92969, _92971] : [372 ^ _79775 : [(373 ^ _79775) ^ [] : [-(member(371 ^ [_92967, _92969, _92971], _92969))], (375 ^ _79775) ^ [] : [apply(_92971, 371 ^ [_92967, _92969, _92971], _92967)]], -(upper_bound(_92967, _92971, _92969))], (360 ^ _79775) ^ [_92636, _92638, _92640] : [upper_bound(_92636, _92640, _92638), 363 ^ _79775 : [(364 ^ _79775) ^ [_92780] : [member(_92780, _92638), -(apply(_92640, _92780, _92636))]]], (389 ^ _79775) ^ [_93719, _93721, _93723] : [391 ^ _79775 : [(392 ^ _79775) ^ [] : [-(member(390 ^ [_93719, _93721, _93723], _93721))], (394 ^ _79775) ^ [] : [apply(_93723, _93719, 390 ^ [_93719, _93721, _93723])]], -(lower_bound(_93719, _93723, _93721))], (379 ^ _79775) ^ [_93388, _93390, _93392] : [lower_bound(_93388, _93392, _93390), 382 ^ _79775 : [(383 ^ _79775) ^ [_93532] : [member(_93532, _93390), -(apply(_93392, _93388, _93532))]]], (398 ^ _79775) ^ [_94140, _94142, _94144] : [greatest(_94140, _94144, _94142), 401 ^ _79775 : [(402 ^ _79775) ^ [] : [-(member(_94140, _94142))], (404 ^ _79775) ^ [_94358] : [member(_94358, _94142), -(apply(_94144, _94358, _94140))]]], (410 ^ _79775) ^ [_94547, _94549, _94551] : [-(greatest(_94547, _94551, _94549)), member(_94547, _94549), 416 ^ _79775 : [(417 ^ _79775) ^ [] : [-(member(415 ^ [_94547, _94549, _94551], _94549))], (419 ^ _79775) ^ [] : [apply(_94551, 415 ^ [_94547, _94549, _94551], _94547)]]], (423 ^ _79775) ^ [_95061, _95063, _95065] : [least(_95061, _95065, _95063), 426 ^ _79775 : [(427 ^ _79775) ^ [] : [-(member(_95061, _95063))], (429 ^ _79775) ^ [_95279] : [member(_95279, _95063), -(apply(_95065, _95061, _95279))]]], (435 ^ _79775) ^ [_95468, _95470, _95472] : [-(least(_95468, _95472, _95470)), member(_95468, _95470), 441 ^ _79775 : [(442 ^ _79775) ^ [] : [-(member(440 ^ [_95468, _95470, _95472], _95470))], (444 ^ _79775) ^ [] : [apply(_95472, _95468, 440 ^ [_95468, _95470, _95472])]]], (464 ^ _79775) ^ [_96492, _96494, _96496] : [-(max(_96492, _96496, _96494)), member(_96492, _96494), 470 ^ _79775 : [(471 ^ _79775) ^ [] : [-(member(469 ^ [_96492, _96494, _96496], _96494))], (473 ^ _79775) ^ [] : [-(apply(_96496, _96492, 469 ^ [_96492, _96494, _96496]))], (475 ^ _79775) ^ [] : [_96492 = 469 ^ [_96492, _96494, _96496]]]], (448 ^ _79775) ^ [_95982, _95984, _95986] : [max(_95982, _95986, _95984), 451 ^ _79775 : [(452 ^ _79775) ^ [] : [-(member(_95982, _95984))], (454 ^ _79775) ^ [_96206] : [-(_95982 = _96206), member(_96206, _95984), apply(_95986, _95982, _96206)]]], (495 ^ _79775) ^ [_97609, _97611, _97613] : [-(min(_97609, _97613, _97611)), member(_97609, _97611), 501 ^ _79775 : [(502 ^ _79775) ^ [] : [-(member(500 ^ [_97609, _97611, _97613], _97611))], (504 ^ _79775) ^ [] : [-(apply(_97613, 500 ^ [_97609, _97611, _97613], _97609))], (506 ^ _79775) ^ [] : [_97609 = 500 ^ [_97609, _97611, _97613]]]], (479 ^ _79775) ^ [_97099, _97101, _97103] : [min(_97099, _97103, _97101), 482 ^ _79775 : [(483 ^ _79775) ^ [] : [-(member(_97099, _97101))], (485 ^ _79775) ^ [_97323] : [-(_97099 = _97323), member(_97323, _97101), apply(_97103, _97323, _97099)]]], (510 ^ _79775) ^ [_98230, _98232, _98234, _98236] : [least_upper_bound(_98236, _98234, _98232, _98230), 513 ^ _79775 : [(514 ^ _79775) ^ [] : [-(member(_98236, _98234))], (516 ^ _79775) ^ [] : [-(upper_bound(_98236, _98232, _98234))], (518 ^ _79775) ^ [_98541] : [-(apply(_98232, _98236, _98541)), member(_98541, _98230), upper_bound(_98541, _98232, _98234)]]], (528 ^ _79775) ^ [_98843, _98845, _98847, _98849] : [-(least_upper_bound(_98849, _98847, _98845, _98843)), member(_98849, _98847), upper_bound(_98849, _98845, _98847), 538 ^ _79775 : [(539 ^ _79775) ^ [] : [-(member(537 ^ [_98843, _98845, _98847, _98849], _98843))], (541 ^ _79775) ^ [] : [-(upper_bound(537 ^ [_98843, _98845, _98847, _98849], _98845, _98847))], (543 ^ _79775) ^ [] : [apply(_98845, _98849, 537 ^ [_98843, _98845, _98847, _98849])]]], (547 ^ _79775) ^ [_99572, _99574, _99576, _99578] : [greatest_lower_bound(_99578, _99576, _99574, _99572), 550 ^ _79775 : [(551 ^ _79775) ^ [] : [-(member(_99578, _99576))], (553 ^ _79775) ^ [] : [-(lower_bound(_99578, _99574, _99576))], (555 ^ _79775) ^ [_99883] : [-(apply(_99574, _99883, _99578)), member(_99883, _99572), lower_bound(_99883, _99574, _99576)]]], (565 ^ _79775) ^ [_100185, _100187, _100189, _100191] : [-(greatest_lower_bound(_100191, _100189, _100187, _100185)), member(_100191, _100189), lower_bound(_100191, _100187, _100189), 575 ^ _79775 : [(576 ^ _79775) ^ [] : [-(member(574 ^ [_100185, _100187, _100189, _100191], _100185))], (578 ^ _79775) ^ [] : [-(lower_bound(574 ^ [_100185, _100187, _100189, _100191], _100187, _100189))], (580 ^ _79775) ^ [] : [apply(_100187, 574 ^ [_100185, _100187, _100189, _100191], _100191)]]]], input).
% 0.29/1.37 ncf('1',plain,[585 ^ [] = 590 ^ []],start(594 ^ 0)).
% 0.29/1.37 ncf('1.1',plain,[-(585 ^ [] = 590 ^ []), 242 : member(585 ^ [], 584 ^ []), 242 : member(590 ^ [], 584 ^ []), 242 : apply(583 ^ [], 585 ^ [], 590 ^ []), 242 : apply(583 ^ [], 590 ^ [], 585 ^ []), 242 : order(583 ^ [], 584 ^ [])],extension(232 ^ 1,bind([[_87735, _87737, _88211, _88213], [584 ^ [], 583 ^ [], 590 ^ [], 585 ^ []]]))).
% 0.29/1.37 ncf('1.1.1',plain,[-(member(585 ^ [], 584 ^ [])), member(585 ^ [], 584 ^ []), 585 ^ [] = 585 ^ [], 584 ^ [] = 584 ^ []],extension(150 ^ 4,bind([[_85011, _85013, _85015, _85017], [584 ^ [], 584 ^ [], 585 ^ [], 585 ^ []]]))).
% 0.29/1.37 ncf('1.1.1.1',plain,[-(member(585 ^ [], 584 ^ [])), greatest(585 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 5,bind([[_94140, _94142, _94144], [585 ^ [], 584 ^ [], 583 ^ []]]))).
% 0.29/1.37 ncf('1.1.1.1.1',plain,[-(greatest(585 ^ [], 583 ^ [], 584 ^ []))],extension(589 ^ 6)).
% 0.29/1.37 ncf('1.1.1.2',plain,[-(585 ^ [] = 585 ^ [])],extension(2 ^ 5,bind([[_79899], [585 ^ []]]))).
% 0.29/1.37 ncf('1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 5,bind([[_79899], [584 ^ []]]))).
% 0.29/1.37 ncf('1.1.2',plain,[-(member(590 ^ [], 584 ^ [])), greatest(590 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 4,bind([[_94140, _94142, _94144], [590 ^ [], 584 ^ [], 583 ^ []]]))).
% 0.29/1.37 ncf('1.1.2.1',plain,[-(greatest(590 ^ [], 583 ^ [], 584 ^ []))],extension(592 ^ 5)).
% 0.29/1.37 ncf('1.1.3',plain,[-(apply(583 ^ [], 585 ^ [], 590 ^ [])), 404 : member(585 ^ [], 584 ^ []), 404 : greatest(590 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 4,bind([[_94140, _94142, _94144, _94358], [590 ^ [], 584 ^ [], 583 ^ [], 585 ^ []]]))).
% 0.29/1.37 ncf('1.1.3.1',plain,[-(member(585 ^ [], 584 ^ [])), greatest(585 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 7,bind([[_94140, _94142, _94144], [585 ^ [], 584 ^ [], 583 ^ []]]))).
% 0.29/1.37 ncf('1.1.3.1.1',plain,[-(greatest(585 ^ [], 583 ^ [], 584 ^ []))],extension(589 ^ 8)).
% 0.29/1.37 ncf('1.1.3.2',plain,[-(greatest(590 ^ [], 583 ^ [], 584 ^ []))],extension(592 ^ 5)).
% 0.29/1.37 ncf('1.1.4',plain,[-(apply(583 ^ [], 590 ^ [], 585 ^ [])), 404 : member(590 ^ [], 584 ^ []), 404 : greatest(585 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 4,bind([[_94140, _94142, _94144, _94358], [585 ^ [], 584 ^ [], 583 ^ [], 590 ^ []]]))).
% 0.29/1.37 ncf('1.1.4.1',plain,[-(member(590 ^ [], 584 ^ [])), greatest(590 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 7,bind([[_94140, _94142, _94144], [590 ^ [], 584 ^ [], 583 ^ []]]))).
% 0.29/1.37 ncf('1.1.4.1.1',plain,[-(greatest(590 ^ [], 583 ^ [], 584 ^ []))],extension(592 ^ 8)).
% 0.29/1.37 ncf('1.1.4.2',plain,[-(greatest(585 ^ [], 583 ^ [], 584 ^ []))],extension(589 ^ 5)).
% 0.29/1.37 ncf('1.1.5',plain,[-(order(583 ^ [], 584 ^ []))],extension(587 ^ 2)).
% 0.29/1.37 %-----------------------------------------------------
% 0.29/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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