TSTP Solution File: LAT381+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : LAT381+3 : TPTP v8.1.2. Released v4.0.0.
% 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 11:29:04 EDT 2023
% Result : Theorem 0.30s 1.35s
% Output : Proof 0.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : LAT381+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.09 % Command : nanocop.sh %s %d
% 0.08/0.30 % Computer : n002.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Thu May 18 14:12:34 EDT 2023
% 0.08/0.30 % CPUTime :
% 0.30/1.35
% 0.30/1.35 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.30/1.35 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/1.35 %-----------------------------------------------------
% 0.30/1.35 ncf(matrix, plain, [(518 ^ _65866) ^ [] : [xu = xv], (2 ^ _65866) ^ [_65990] : [-(_65990 = _65990)], (4 ^ _65866) ^ [_66097, _66099] : [_66099 = _66097, -(_66097 = _66099)], (10 ^ _65866) ^ [_66301, _66303, _66305] : [-(_66305 = _66301), _66305 = _66303, _66303 = _66301], (20 ^ _65866) ^ [_66614, _66616] : [-(isEmpty0(_66614)), _66616 = _66614, isEmpty0(_66616)], (30 ^ _65866) ^ [_66909, _66911] : [-(aElement0(_66909)), _66911 = _66909, aElement0(_66911)], (40 ^ _65866) ^ [_67260, _67262, _67264, _67266, _67268, _67270] : [-(aInfimumOfIn0(_67268, _67264, _67260)), aInfimumOfIn0(_67270, _67266, _67262), _67270 = _67268, _67266 = _67264, _67262 = _67260], (58 ^ _65866) ^ [_67869, _67871, _67873, _67875, _67877, _67879] : [-(aLowerBoundOfIn0(_67877, _67873, _67869)), aLowerBoundOfIn0(_67879, _67875, _67871), _67879 = _67877, _67875 = _67873, _67871 = _67869], (76 ^ _65866) ^ [_68422, _68424] : [-(aSet0(_68422)), _68424 = _68422, aSet0(_68424)], (86 ^ _65866) ^ [_68745, _68747, _68749, _68751] : [-(aSubsetOf0(_68749, _68745)), aSubsetOf0(_68751, _68747), _68751 = _68749, _68747 = _68745], (100 ^ _65866) ^ [_69189, _69191, _69193, _69195] : [-(aElementOf0(_69193, _69189)), aElementOf0(_69195, _69191), _69195 = _69193, _69191 = _69189], (114 ^ _65866) ^ [_69661, _69663, _69665, _69667, _69669, _69671] : [-(aUpperBoundOfIn0(_69669, _69665, _69661)), aUpperBoundOfIn0(_69671, _69667, _69663), _69671 = _69669, _69667 = _69665, _69663 = _69661], (132 ^ _65866) ^ [_70242, _70244, _70246, _70248] : [-(sdtlseqdt0(_70246, _70242)), sdtlseqdt0(_70248, _70244), _70248 = _70246, _70244 = _70242], (146 ^ _65866) ^ [_70694, _70696, _70698, _70700, _70702, _70704] : [-(aSupremumOfIn0(_70702, _70698, _70694)), aSupremumOfIn0(_70704, _70700, _70696), _70704 = _70702, _70700 = _70698, _70696 = _70694], (164 ^ _65866) ^ [_71257] : [aSet0(_71257), true___, -(true___)], (174 ^ _65866) ^ [_71512] : [aElement0(_71512), true___, -(true___)], (184 ^ _65866) ^ [_71767] : [aSet0(_71767), 187 ^ _65866 : [(188 ^ _65866) ^ [_71897] : [aElementOf0(_71897, _71767), -(aElement0(_71897))]]], (194 ^ _65866) ^ [_72098] : [aSet0(_72098), 197 ^ _65866 : [(198 ^ _65866) ^ [] : [isEmpty0(_72098), 201 ^ _65866 : [(202 ^ _65866) ^ [_72317] : [aElementOf0(_72317, _72098)]]], (204 ^ _65866) ^ [] : [-(aElementOf0(205 ^ [_72098], _72098)), -(isEmpty0(_72098))]]], (211 ^ _65866) ^ [_72593] : [aSet0(_72593), 214 ^ _65866 : [(215 ^ _65866) ^ [_72769] : [aSubsetOf0(_72769, _72593), 218 ^ _65866 : [(219 ^ _65866) ^ [] : [-(aSet0(_72769))], (221 ^ _65866) ^ [_72978] : [aElementOf0(_72978, _72769), -(aElementOf0(_72978, _72593))]]], (227 ^ _65866) ^ [_73157] : [-(aSubsetOf0(_73157, _72593)), aSet0(_73157), 233 ^ _65866 : [(234 ^ _65866) ^ [] : [-(aElementOf0(232 ^ [_72593, _73157], _73157))], (236 ^ _65866) ^ [] : [aElementOf0(232 ^ [_72593, _73157], _72593)]]]]], (240 ^ _65866) ^ [_73608, _73610] : [aElement0(_73610), aElement0(_73608), sdtlseqdt0(_73610, _73608), true___, -(true___)], (258 ^ _65866) ^ [_74054] : [aElement0(_74054), -(sdtlseqdt0(_74054, _74054))], (264 ^ _65866) ^ [_74256, _74258] : [aElement0(_74258), aElement0(_74256), -(_74258 = _74256), sdtlseqdt0(_74258, _74256), sdtlseqdt0(_74256, _74258)], (282 ^ _65866) ^ [_74745, _74747, _74749] : [aElement0(_74749), aElement0(_74747), aElement0(_74745), -(sdtlseqdt0(_74749, _74745)), sdtlseqdt0(_74749, _74747), sdtlseqdt0(_74747, _74745)], (304 ^ _65866) ^ [_75317] : [aSet0(_75317), 307 ^ _65866 : [(308 ^ _65866) ^ [_75477] : [aSubsetOf0(_75477, _75317), 311 ^ _65866 : [(312 ^ _65866) ^ [_75663] : [aLowerBoundOfIn0(_75663, _75477, _75317), 315 ^ _65866 : [(316 ^ _65866) ^ [] : [-(aElementOf0(_75663, _75317))], (318 ^ _65866) ^ [_75884] : [aElementOf0(_75884, _75477), -(sdtlseqdt0(_75663, _75884))]]], (324 ^ _65866) ^ [_76071] : [-(aLowerBoundOfIn0(_76071, _75477, _75317)), aElementOf0(_76071, _75317), 330 ^ _65866 : [(331 ^ _65866) ^ [] : [-(aElementOf0(329 ^ [_75317, _75477, _76071], _75477))], (333 ^ _65866) ^ [] : [sdtlseqdt0(_76071, 329 ^ [_75317, _75477, _76071])]]]]]]], (337 ^ _65866) ^ [_76539] : [aSet0(_76539), 340 ^ _65866 : [(341 ^ _65866) ^ [_76699] : [aSubsetOf0(_76699, _76539), 344 ^ _65866 : [(345 ^ _65866) ^ [_76885] : [aUpperBoundOfIn0(_76885, _76699, _76539), 348 ^ _65866 : [(349 ^ _65866) ^ [] : [-(aElementOf0(_76885, _76539))], (351 ^ _65866) ^ [_77106] : [aElementOf0(_77106, _76699), -(sdtlseqdt0(_77106, _76885))]]], (357 ^ _65866) ^ [_77293] : [-(aUpperBoundOfIn0(_77293, _76699, _76539)), aElementOf0(_77293, _76539), 363 ^ _65866 : [(364 ^ _65866) ^ [] : [-(aElementOf0(362 ^ [_76539, _76699, _77293], _76699))], (366 ^ _65866) ^ [] : [sdtlseqdt0(362 ^ [_76539, _76699, _77293], _77293)]]]]]]], (370 ^ _65866) ^ [_77761] : [aSet0(_77761), 373 ^ _65866 : [(374 ^ _65866) ^ [_77929] : [aSubsetOf0(_77929, _77761), 377 ^ _65866 : [(378 ^ _65866) ^ [_78123] : [aInfimumOfIn0(_78123, _77929, _77761), 381 ^ _65866 : [(382 ^ _65866) ^ [] : [-(aElementOf0(_78123, _77761))], (384 ^ _65866) ^ [] : [-(aLowerBoundOfIn0(_78123, _77929, _77761))], (386 ^ _65866) ^ [_78421] : [aLowerBoundOfIn0(_78421, _77929, _77761), -(sdtlseqdt0(_78421, _78123))]]], (392 ^ _65866) ^ [_78612] : [-(aInfimumOfIn0(_78612, _77929, _77761)), aElementOf0(_78612, _77761), aLowerBoundOfIn0(_78612, _77929, _77761), 402 ^ _65866 : [(403 ^ _65866) ^ [] : [-(aLowerBoundOfIn0(401 ^ [_77761, _77929, _78612], _77929, _77761))], (405 ^ _65866) ^ [] : [sdtlseqdt0(401 ^ [_77761, _77929, _78612], _78612)]]]]]]], (409 ^ _65866) ^ [_79178] : [aSet0(_79178), 412 ^ _65866 : [(413 ^ _65866) ^ [_79346] : [aSubsetOf0(_79346, _79178), 416 ^ _65866 : [(417 ^ _65866) ^ [_79540] : [aSupremumOfIn0(_79540, _79346, _79178), 420 ^ _65866 : [(421 ^ _65866) ^ [] : [-(aElementOf0(_79540, _79178))], (423 ^ _65866) ^ [] : [-(aUpperBoundOfIn0(_79540, _79346, _79178))], (425 ^ _65866) ^ [_79838] : [aUpperBoundOfIn0(_79838, _79346, _79178), -(sdtlseqdt0(_79540, _79838))]]], (431 ^ _65866) ^ [_80029] : [-(aSupremumOfIn0(_80029, _79346, _79178)), aElementOf0(_80029, _79178), aUpperBoundOfIn0(_80029, _79346, _79178), 441 ^ _65866 : [(442 ^ _65866) ^ [] : [-(aUpperBoundOfIn0(440 ^ [_79178, _79346, _80029], _79346, _79178))], (444 ^ _65866) ^ [] : [sdtlseqdt0(_80029, 440 ^ [_79178, _79346, _80029])]]]]]]], (448 ^ _65866) ^ [] : [-(aSet0(xT))], (450 ^ _65866) ^ [] : [-(aSet0(xS))], (458 ^ _65866) ^ [] : [-(aSubsetOf0(xS, xT))], (452 ^ _65866) ^ [_80721] : [aElementOf0(_80721, xS), -(aElementOf0(_80721, xT))], (460 ^ _65866) ^ [] : [-(aElementOf0(xu, xT))], (462 ^ _65866) ^ [] : [-(aElementOf0(xu, xT))], (464 ^ _65866) ^ [_81054] : [aElementOf0(_81054, xS), -(sdtlseqdt0(_81054, xu))], (470 ^ _65866) ^ [] : [-(aUpperBoundOfIn0(xu, xS, xT))], (472 ^ _65866) ^ [_81297] : [-(sdtlseqdt0(xu, _81297)), 473 ^ _65866 : [(483 ^ _65866) ^ [] : [aUpperBoundOfIn0(_81297, xS, xT)], (474 ^ _65866) ^ [] : [aElementOf0(_81297, xT), 478 ^ _65866 : [(479 ^ _65866) ^ [] : [-(aElementOf0(477 ^ [_81297], xS))], (481 ^ _65866) ^ [] : [sdtlseqdt0(477 ^ [_81297], _81297)]]]]], (487 ^ _65866) ^ [] : [-(aSupremumOfIn0(xu, xS, xT))], (489 ^ _65866) ^ [] : [-(aElementOf0(xv, xT))], (491 ^ _65866) ^ [] : [-(aElementOf0(xv, xT))], (493 ^ _65866) ^ [_81940] : [aElementOf0(_81940, xS), -(sdtlseqdt0(_81940, xv))], (499 ^ _65866) ^ [] : [-(aUpperBoundOfIn0(xv, xS, xT))], (516 ^ _65866) ^ [] : [-(aSupremumOfIn0(xv, xS, xT))], (501 ^ _65866) ^ [_82183] : [-(sdtlseqdt0(xv, _82183)), 502 ^ _65866 : [(512 ^ _65866) ^ [] : [aUpperBoundOfIn0(_82183, xS, xT)], (503 ^ _65866) ^ [] : [aElementOf0(_82183, xT), 507 ^ _65866 : [(508 ^ _65866) ^ [] : [-(aElementOf0(506 ^ [_82183], xS))], (510 ^ _65866) ^ [] : [sdtlseqdt0(506 ^ [_82183], _82183)]]]]]], input).
% 0.30/1.35 ncf('1',plain,[xu = xv],start(518 ^ 0)).
% 0.30/1.35 ncf('1.1',plain,[-(xu = xv), aElement0(xu), aElement0(xv), sdtlseqdt0(xu, xv), sdtlseqdt0(xv, xu)],extension(264 ^ 1,bind([[_74256, _74258], [xv, xu]]))).
% 0.30/1.35 ncf('1.1.1',plain,[-(aElement0(xu)), 188 : aElementOf0(xu, xT), 188 : aSet0(xT)],extension(184 ^ 2,bind([[_71767, _71897], [xT, xu]]))).
% 0.30/1.35 ncf('1.1.1.1',plain,[-(aElementOf0(xu, xT))],extension(460 ^ 5)).
% 0.30/1.35 ncf('1.1.1.2',plain,[-(aSet0(xT))],extension(448 ^ 3)).
% 0.30/1.35 ncf('1.1.2',plain,[-(aElement0(xv)), 188 : aElementOf0(xv, xT), 188 : aSet0(xT)],extension(184 ^ 2,bind([[_71767, _71897], [xT, xv]]))).
% 0.30/1.35 ncf('1.1.2.1',plain,[-(aElementOf0(xv, xT))],extension(489 ^ 5)).
% 0.30/1.35 ncf('1.1.2.2',plain,[-(aSet0(xT))],extension(448 ^ 3)).
% 0.30/1.35 ncf('1.1.3',plain,[-(sdtlseqdt0(xu, xv)), 425 : aUpperBoundOfIn0(xv, xS, xT), 425 : aSupremumOfIn0(xu, xS, xT), 417 : aSubsetOf0(xS, xT), 413 : aSet0(xT)],extension(409 ^ 2,bind([[_79178, _79346, _79540, _79838], [xT, xS, xu, xv]]))).
% 0.30/1.35 ncf('1.1.3.1',plain,[-(aUpperBoundOfIn0(xv, xS, xT))],extension(499 ^ 9)).
% 0.30/1.35 ncf('1.1.3.2',plain,[-(aSupremumOfIn0(xu, xS, xT))],extension(487 ^ 7)).
% 0.30/1.35 ncf('1.1.3.3',plain,[-(aSubsetOf0(xS, xT))],extension(458 ^ 5)).
% 0.30/1.35 ncf('1.1.3.4',plain,[-(aSet0(xT))],extension(448 ^ 3)).
% 0.30/1.35 ncf('1.1.4',plain,[-(sdtlseqdt0(xv, xu)), 425 : aUpperBoundOfIn0(xu, xS, xT), 425 : aSupremumOfIn0(xv, xS, xT), 417 : aSubsetOf0(xS, xT), 413 : aSet0(xT)],extension(409 ^ 2,bind([[_79178, _79346, _79540, _79838], [xT, xS, xv, xu]]))).
% 0.30/1.35 ncf('1.1.4.1',plain,[-(aUpperBoundOfIn0(xu, xS, xT))],extension(470 ^ 9)).
% 0.30/1.35 ncf('1.1.4.2',plain,[-(aSupremumOfIn0(xv, xS, xT))],extension(516 ^ 7)).
% 0.30/1.35 ncf('1.1.4.3',plain,[-(aSubsetOf0(xS, xT))],extension(458 ^ 5)).
% 0.30/1.35 ncf('1.1.4.4',plain,[-(aSet0(xT))],extension(448 ^ 3)).
% 0.30/1.35 %-----------------------------------------------------
% 0.30/1.35 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------