TSTP Solution File: LAT382+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : LAT382+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n031.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 11:29:04 EDT 2023
% Result : Theorem 0.34s 1.37s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT382+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n031.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 14:37:10 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.34/1.37
% 0.34/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.37 %-----------------------------------------------------
% 0.34/1.37 ncf(matrix, plain, [(536 ^ _68594) ^ [] : [xu = xv], (2 ^ _68594) ^ [_68718] : [-(_68718 = _68718)], (4 ^ _68594) ^ [_68825, _68827] : [_68827 = _68825, -(_68825 = _68827)], (10 ^ _68594) ^ [_69029, _69031, _69033] : [-(_69033 = _69029), _69033 = _69031, _69031 = _69029], (20 ^ _68594) ^ [_69342, _69344] : [-(isEmpty0(_69342)), _69344 = _69342, isEmpty0(_69344)], (30 ^ _68594) ^ [_69637, _69639] : [-(aElement0(_69637)), _69639 = _69637, aElement0(_69639)], (40 ^ _68594) ^ [_69988, _69990, _69992, _69994, _69996, _69998] : [-(aUpperBoundOfIn0(_69996, _69992, _69988)), aUpperBoundOfIn0(_69998, _69994, _69990), _69998 = _69996, _69994 = _69992, _69990 = _69988], (58 ^ _68594) ^ [_70597, _70599, _70601, _70603, _70605, _70607] : [-(aSupremumOfIn0(_70605, _70601, _70597)), aSupremumOfIn0(_70607, _70603, _70599), _70607 = _70605, _70603 = _70601, _70599 = _70597], (76 ^ _68594) ^ [_71150, _71152] : [-(aSet0(_71150)), _71152 = _71150, aSet0(_71152)], (86 ^ _68594) ^ [_71473, _71475, _71477, _71479] : [-(aSubsetOf0(_71477, _71473)), aSubsetOf0(_71479, _71475), _71479 = _71477, _71475 = _71473], (100 ^ _68594) ^ [_71917, _71919, _71921, _71923] : [-(aElementOf0(_71921, _71917)), aElementOf0(_71923, _71919), _71923 = _71921, _71919 = _71917], (114 ^ _68594) ^ [_72389, _72391, _72393, _72395, _72397, _72399] : [-(aLowerBoundOfIn0(_72397, _72393, _72389)), aLowerBoundOfIn0(_72399, _72395, _72391), _72399 = _72397, _72395 = _72393, _72391 = _72389], (132 ^ _68594) ^ [_72970, _72972, _72974, _72976] : [-(sdtlseqdt0(_72974, _72970)), sdtlseqdt0(_72976, _72972), _72976 = _72974, _72972 = _72970], (146 ^ _68594) ^ [_73422, _73424, _73426, _73428, _73430, _73432] : [-(aInfimumOfIn0(_73430, _73426, _73422)), aInfimumOfIn0(_73432, _73428, _73424), _73432 = _73430, _73428 = _73426, _73424 = _73422], (164 ^ _68594) ^ [_73985] : [aSet0(_73985), true___, -(true___)], (174 ^ _68594) ^ [_74240] : [aElement0(_74240), true___, -(true___)], (184 ^ _68594) ^ [_74495] : [aSet0(_74495), 187 ^ _68594 : [(188 ^ _68594) ^ [_74625] : [aElementOf0(_74625, _74495), -(aElement0(_74625))]]], (194 ^ _68594) ^ [_74826] : [aSet0(_74826), 197 ^ _68594 : [(198 ^ _68594) ^ [] : [isEmpty0(_74826), 201 ^ _68594 : [(202 ^ _68594) ^ [_75045] : [aElementOf0(_75045, _74826)]]], (204 ^ _68594) ^ [] : [-(aElementOf0(205 ^ [_74826], _74826)), -(isEmpty0(_74826))]]], (211 ^ _68594) ^ [_75321] : [aSet0(_75321), 214 ^ _68594 : [(215 ^ _68594) ^ [_75497] : [aSubsetOf0(_75497, _75321), 218 ^ _68594 : [(219 ^ _68594) ^ [] : [-(aSet0(_75497))], (221 ^ _68594) ^ [_75706] : [aElementOf0(_75706, _75497), -(aElementOf0(_75706, _75321))]]], (227 ^ _68594) ^ [_75885] : [-(aSubsetOf0(_75885, _75321)), aSet0(_75885), 233 ^ _68594 : [(234 ^ _68594) ^ [] : [-(aElementOf0(232 ^ [_75321, _75885], _75885))], (236 ^ _68594) ^ [] : [aElementOf0(232 ^ [_75321, _75885], _75321)]]]]], (240 ^ _68594) ^ [_76336, _76338] : [aElement0(_76338), aElement0(_76336), sdtlseqdt0(_76338, _76336), true___, -(true___)], (258 ^ _68594) ^ [_76782] : [aElement0(_76782), -(sdtlseqdt0(_76782, _76782))], (264 ^ _68594) ^ [_76984, _76986] : [aElement0(_76986), aElement0(_76984), -(_76986 = _76984), sdtlseqdt0(_76986, _76984), sdtlseqdt0(_76984, _76986)], (282 ^ _68594) ^ [_77473, _77475, _77477] : [aElement0(_77477), aElement0(_77475), aElement0(_77473), -(sdtlseqdt0(_77477, _77473)), sdtlseqdt0(_77477, _77475), sdtlseqdt0(_77475, _77473)], (304 ^ _68594) ^ [_78045] : [aSet0(_78045), 307 ^ _68594 : [(308 ^ _68594) ^ [_78205] : [aSubsetOf0(_78205, _78045), 311 ^ _68594 : [(312 ^ _68594) ^ [_78391] : [aLowerBoundOfIn0(_78391, _78205, _78045), 315 ^ _68594 : [(316 ^ _68594) ^ [] : [-(aElementOf0(_78391, _78045))], (318 ^ _68594) ^ [_78612] : [aElementOf0(_78612, _78205), -(sdtlseqdt0(_78391, _78612))]]], (324 ^ _68594) ^ [_78799] : [-(aLowerBoundOfIn0(_78799, _78205, _78045)), aElementOf0(_78799, _78045), 330 ^ _68594 : [(331 ^ _68594) ^ [] : [-(aElementOf0(329 ^ [_78045, _78205, _78799], _78205))], (333 ^ _68594) ^ [] : [sdtlseqdt0(_78799, 329 ^ [_78045, _78205, _78799])]]]]]]], (337 ^ _68594) ^ [_79267] : [aSet0(_79267), 340 ^ _68594 : [(341 ^ _68594) ^ [_79427] : [aSubsetOf0(_79427, _79267), 344 ^ _68594 : [(345 ^ _68594) ^ [_79613] : [aUpperBoundOfIn0(_79613, _79427, _79267), 348 ^ _68594 : [(349 ^ _68594) ^ [] : [-(aElementOf0(_79613, _79267))], (351 ^ _68594) ^ [_79834] : [aElementOf0(_79834, _79427), -(sdtlseqdt0(_79834, _79613))]]], (357 ^ _68594) ^ [_80021] : [-(aUpperBoundOfIn0(_80021, _79427, _79267)), aElementOf0(_80021, _79267), 363 ^ _68594 : [(364 ^ _68594) ^ [] : [-(aElementOf0(362 ^ [_79267, _79427, _80021], _79427))], (366 ^ _68594) ^ [] : [sdtlseqdt0(362 ^ [_79267, _79427, _80021], _80021)]]]]]]], (370 ^ _68594) ^ [_80489] : [aSet0(_80489), 373 ^ _68594 : [(374 ^ _68594) ^ [_80657] : [aSubsetOf0(_80657, _80489), 377 ^ _68594 : [(378 ^ _68594) ^ [_80851] : [aInfimumOfIn0(_80851, _80657, _80489), 381 ^ _68594 : [(382 ^ _68594) ^ [] : [-(aElementOf0(_80851, _80489))], (384 ^ _68594) ^ [] : [-(aLowerBoundOfIn0(_80851, _80657, _80489))], (386 ^ _68594) ^ [_81149] : [aLowerBoundOfIn0(_81149, _80657, _80489), -(sdtlseqdt0(_81149, _80851))]]], (392 ^ _68594) ^ [_81340] : [-(aInfimumOfIn0(_81340, _80657, _80489)), aElementOf0(_81340, _80489), aLowerBoundOfIn0(_81340, _80657, _80489), 402 ^ _68594 : [(403 ^ _68594) ^ [] : [-(aLowerBoundOfIn0(401 ^ [_80489, _80657, _81340], _80657, _80489))], (405 ^ _68594) ^ [] : [sdtlseqdt0(401 ^ [_80489, _80657, _81340], _81340)]]]]]]], (409 ^ _68594) ^ [_81906] : [aSet0(_81906), 412 ^ _68594 : [(413 ^ _68594) ^ [_82074] : [aSubsetOf0(_82074, _81906), 416 ^ _68594 : [(417 ^ _68594) ^ [_82268] : [aSupremumOfIn0(_82268, _82074, _81906), 420 ^ _68594 : [(421 ^ _68594) ^ [] : [-(aElementOf0(_82268, _81906))], (423 ^ _68594) ^ [] : [-(aUpperBoundOfIn0(_82268, _82074, _81906))], (425 ^ _68594) ^ [_82566] : [aUpperBoundOfIn0(_82566, _82074, _81906), -(sdtlseqdt0(_82268, _82566))]]], (431 ^ _68594) ^ [_82757] : [-(aSupremumOfIn0(_82757, _82074, _81906)), aElementOf0(_82757, _81906), aUpperBoundOfIn0(_82757, _82074, _81906), 441 ^ _68594 : [(442 ^ _68594) ^ [] : [-(aUpperBoundOfIn0(440 ^ [_81906, _82074, _82757], _82074, _81906))], (444 ^ _68594) ^ [] : [sdtlseqdt0(_82757, 440 ^ [_81906, _82074, _82757])]]]]]]], (448 ^ _68594) ^ [_83323] : [aSet0(_83323), 451 ^ _68594 : [(452 ^ _68594) ^ [_83478] : [aSubsetOf0(_83478, _83323), 455 ^ _68594 : [(456 ^ _68594) ^ [_83644, _83646] : [-(_83646 = _83644), aSupremumOfIn0(_83646, _83478, _83323), aSupremumOfIn0(_83644, _83478, _83323)]]]]], (466 ^ _68594) ^ [] : [-(aSet0(xT))], (468 ^ _68594) ^ [] : [-(aSet0(xS))], (476 ^ _68594) ^ [] : [-(aSubsetOf0(xS, xT))], (470 ^ _68594) ^ [_84093] : [aElementOf0(_84093, xS), -(aElementOf0(_84093, xT))], (478 ^ _68594) ^ [] : [-(aElementOf0(xu, xT))], (480 ^ _68594) ^ [] : [-(aElementOf0(xu, xT))], (482 ^ _68594) ^ [_84426] : [aElementOf0(_84426, xS), -(sdtlseqdt0(xu, _84426))], (488 ^ _68594) ^ [] : [-(aLowerBoundOfIn0(xu, xS, xT))], (490 ^ _68594) ^ [_84669] : [-(sdtlseqdt0(_84669, xu)), 491 ^ _68594 : [(501 ^ _68594) ^ [] : [aLowerBoundOfIn0(_84669, xS, xT)], (492 ^ _68594) ^ [] : [aElementOf0(_84669, xT), 496 ^ _68594 : [(497 ^ _68594) ^ [] : [-(aElementOf0(495 ^ [_84669], xS))], (499 ^ _68594) ^ [] : [sdtlseqdt0(_84669, 495 ^ [_84669])]]]]], (505 ^ _68594) ^ [] : [-(aInfimumOfIn0(xu, xS, xT))], (507 ^ _68594) ^ [] : [-(aElementOf0(xv, xT))], (509 ^ _68594) ^ [] : [-(aElementOf0(xv, xT))], (511 ^ _68594) ^ [_85312] : [aElementOf0(_85312, xS), -(sdtlseqdt0(xv, _85312))], (517 ^ _68594) ^ [] : [-(aLowerBoundOfIn0(xv, xS, xT))], (534 ^ _68594) ^ [] : [-(aInfimumOfIn0(xv, xS, xT))], (519 ^ _68594) ^ [_85555] : [-(sdtlseqdt0(_85555, xv)), 520 ^ _68594 : [(530 ^ _68594) ^ [] : [aLowerBoundOfIn0(_85555, xS, xT)], (521 ^ _68594) ^ [] : [aElementOf0(_85555, xT), 525 ^ _68594 : [(526 ^ _68594) ^ [] : [-(aElementOf0(524 ^ [_85555], xS))], (528 ^ _68594) ^ [] : [sdtlseqdt0(_85555, 524 ^ [_85555])]]]]]], input).
% 0.34/1.37 ncf('1',plain,[xu = xv],start(536 ^ 0)).
% 0.34/1.37 ncf('1.1',plain,[-(xu = xv), aElement0(xu), aElement0(xv), sdtlseqdt0(xu, xv), sdtlseqdt0(xv, xu)],extension(264 ^ 1,bind([[_76984, _76986], [xv, xu]]))).
% 0.34/1.37 ncf('1.1.1',plain,[-(aElement0(xu)), 188 : aElementOf0(xu, xT), 188 : aSet0(xT)],extension(184 ^ 2,bind([[_74495, _74625], [xT, xu]]))).
% 0.34/1.37 ncf('1.1.1.1',plain,[-(aElementOf0(xu, xT))],extension(478 ^ 5)).
% 0.34/1.37 ncf('1.1.1.2',plain,[-(aSet0(xT))],extension(466 ^ 3)).
% 0.34/1.37 ncf('1.1.2',plain,[-(aElement0(xv)), 188 : aElementOf0(xv, xT), 188 : aSet0(xT)],extension(184 ^ 2,bind([[_74495, _74625], [xT, xv]]))).
% 0.34/1.37 ncf('1.1.2.1',plain,[-(aElementOf0(xv, xT))],extension(507 ^ 5)).
% 0.34/1.37 ncf('1.1.2.2',plain,[-(aSet0(xT))],extension(466 ^ 3)).
% 0.34/1.37 ncf('1.1.3',plain,[-(sdtlseqdt0(xu, xv)), 386 : aLowerBoundOfIn0(xu, xS, xT), 386 : aInfimumOfIn0(xv, xS, xT), 378 : aSubsetOf0(xS, xT), 374 : aSet0(xT)],extension(370 ^ 2,bind([[_80489, _80657, _80851, _81149], [xT, xS, xv, xu]]))).
% 0.34/1.37 ncf('1.1.3.1',plain,[-(aLowerBoundOfIn0(xu, xS, xT))],extension(488 ^ 9)).
% 0.34/1.37 ncf('1.1.3.2',plain,[-(aInfimumOfIn0(xv, xS, xT))],extension(534 ^ 7)).
% 0.34/1.37 ncf('1.1.3.3',plain,[-(aSubsetOf0(xS, xT))],extension(476 ^ 5)).
% 0.34/1.37 ncf('1.1.3.4',plain,[-(aSet0(xT))],extension(466 ^ 3)).
% 0.34/1.37 ncf('1.1.4',plain,[-(sdtlseqdt0(xv, xu)), 386 : aLowerBoundOfIn0(xv, xS, xT), 386 : aInfimumOfIn0(xu, xS, xT), 378 : aSubsetOf0(xS, xT), 374 : aSet0(xT)],extension(370 ^ 2,bind([[_80489, _80657, _80851, _81149], [xT, xS, xu, xv]]))).
% 0.34/1.37 ncf('1.1.4.1',plain,[-(aLowerBoundOfIn0(xv, xS, xT))],extension(517 ^ 9)).
% 0.34/1.37 ncf('1.1.4.2',plain,[-(aInfimumOfIn0(xu, xS, xT))],extension(505 ^ 7)).
% 0.34/1.37 ncf('1.1.4.3',plain,[-(aSubsetOf0(xS, xT))],extension(476 ^ 5)).
% 0.34/1.37 ncf('1.1.4.4',plain,[-(aSet0(xT))],extension(466 ^ 3)).
% 0.34/1.37 %-----------------------------------------------------
% 0.34/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------