TSTP Solution File: LAT382+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : LAT382+1 : TPTP v8.1.2. Released v4.0.0.
% 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 11:29:04 EDT 2023
% Result : Theorem 0.33s 1.38s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT382+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 14:05:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.33/1.38
% 0.33/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 ncf(matrix, plain, [(474 ^ _62740) ^ [] : [xu = xv], (2 ^ _62740) ^ [_62864] : [-(_62864 = _62864)], (4 ^ _62740) ^ [_62971, _62973] : [_62973 = _62971, -(_62971 = _62973)], (10 ^ _62740) ^ [_63175, _63177, _63179] : [-(_63179 = _63175), _63179 = _63177, _63177 = _63175], (20 ^ _62740) ^ [_63488, _63490] : [-(isEmpty0(_63488)), _63490 = _63488, isEmpty0(_63490)], (30 ^ _62740) ^ [_63783, _63785] : [-(aElement0(_63783)), _63785 = _63783, aElement0(_63785)], (40 ^ _62740) ^ [_64134, _64136, _64138, _64140, _64142, _64144] : [-(aLowerBoundOfIn0(_64142, _64138, _64134)), aLowerBoundOfIn0(_64144, _64140, _64136), _64144 = _64142, _64140 = _64138, _64136 = _64134], (58 ^ _62740) ^ [_64715, _64717, _64719, _64721] : [-(aElementOf0(_64719, _64715)), aElementOf0(_64721, _64717), _64721 = _64719, _64717 = _64715], (72 ^ _62740) ^ [_65187, _65189, _65191, _65193, _65195, _65197] : [-(aUpperBoundOfIn0(_65195, _65191, _65187)), aUpperBoundOfIn0(_65197, _65193, _65189), _65197 = _65195, _65193 = _65191, _65189 = _65187], (90 ^ _62740) ^ [_65768, _65770, _65772, _65774] : [-(sdtlseqdt0(_65772, _65768)), sdtlseqdt0(_65774, _65770), _65774 = _65772, _65770 = _65768], (104 ^ _62740) ^ [_66240, _66242, _66244, _66246, _66248, _66250] : [-(aSupremumOfIn0(_66248, _66244, _66240)), aSupremumOfIn0(_66250, _66246, _66242), _66250 = _66248, _66246 = _66244, _66242 = _66240], (122 ^ _62740) ^ [_66793, _66795] : [-(aSet0(_66793)), _66795 = _66793, aSet0(_66795)], (132 ^ _62740) ^ [_67116, _67118, _67120, _67122] : [-(aSubsetOf0(_67120, _67116)), aSubsetOf0(_67122, _67118), _67122 = _67120, _67118 = _67116], (146 ^ _62740) ^ [_67568, _67570, _67572, _67574, _67576, _67578] : [-(aInfimumOfIn0(_67576, _67572, _67568)), aInfimumOfIn0(_67578, _67574, _67570), _67578 = _67576, _67574 = _67572, _67570 = _67568], (164 ^ _62740) ^ [_68131] : [aSet0(_68131), true___, -(true___)], (174 ^ _62740) ^ [_68386] : [aElement0(_68386), true___, -(true___)], (184 ^ _62740) ^ [_68641] : [aSet0(_68641), 187 ^ _62740 : [(188 ^ _62740) ^ [_68771] : [aElementOf0(_68771, _68641), -(aElement0(_68771))]]], (194 ^ _62740) ^ [_68972] : [aSet0(_68972), 197 ^ _62740 : [(198 ^ _62740) ^ [] : [isEmpty0(_68972), 201 ^ _62740 : [(202 ^ _62740) ^ [_69191] : [aElementOf0(_69191, _68972)]]], (204 ^ _62740) ^ [] : [-(aElementOf0(205 ^ [_68972], _68972)), -(isEmpty0(_68972))]]], (211 ^ _62740) ^ [_69467] : [aSet0(_69467), 214 ^ _62740 : [(215 ^ _62740) ^ [_69643] : [aSubsetOf0(_69643, _69467), 218 ^ _62740 : [(219 ^ _62740) ^ [] : [-(aSet0(_69643))], (221 ^ _62740) ^ [_69852] : [aElementOf0(_69852, _69643), -(aElementOf0(_69852, _69467))]]], (227 ^ _62740) ^ [_70031] : [-(aSubsetOf0(_70031, _69467)), aSet0(_70031), 233 ^ _62740 : [(234 ^ _62740) ^ [] : [-(aElementOf0(232 ^ [_69467, _70031], _70031))], (236 ^ _62740) ^ [] : [aElementOf0(232 ^ [_69467, _70031], _69467)]]]]], (240 ^ _62740) ^ [_70482, _70484] : [aElement0(_70484), aElement0(_70482), sdtlseqdt0(_70484, _70482), true___, -(true___)], (258 ^ _62740) ^ [_70928] : [aElement0(_70928), -(sdtlseqdt0(_70928, _70928))], (264 ^ _62740) ^ [_71130, _71132] : [aElement0(_71132), aElement0(_71130), -(_71132 = _71130), sdtlseqdt0(_71132, _71130), sdtlseqdt0(_71130, _71132)], (282 ^ _62740) ^ [_71619, _71621, _71623] : [aElement0(_71623), aElement0(_71621), aElement0(_71619), -(sdtlseqdt0(_71623, _71619)), sdtlseqdt0(_71623, _71621), sdtlseqdt0(_71621, _71619)], (304 ^ _62740) ^ [_72191] : [aSet0(_72191), 307 ^ _62740 : [(308 ^ _62740) ^ [_72351] : [aSubsetOf0(_72351, _72191), 311 ^ _62740 : [(312 ^ _62740) ^ [_72537] : [aLowerBoundOfIn0(_72537, _72351, _72191), 315 ^ _62740 : [(316 ^ _62740) ^ [] : [-(aElementOf0(_72537, _72191))], (318 ^ _62740) ^ [_72758] : [aElementOf0(_72758, _72351), -(sdtlseqdt0(_72537, _72758))]]], (324 ^ _62740) ^ [_72945] : [-(aLowerBoundOfIn0(_72945, _72351, _72191)), aElementOf0(_72945, _72191), 330 ^ _62740 : [(331 ^ _62740) ^ [] : [-(aElementOf0(329 ^ [_72191, _72351, _72945], _72351))], (333 ^ _62740) ^ [] : [sdtlseqdt0(_72945, 329 ^ [_72191, _72351, _72945])]]]]]]], (337 ^ _62740) ^ [_73413] : [aSet0(_73413), 340 ^ _62740 : [(341 ^ _62740) ^ [_73573] : [aSubsetOf0(_73573, _73413), 344 ^ _62740 : [(345 ^ _62740) ^ [_73759] : [aUpperBoundOfIn0(_73759, _73573, _73413), 348 ^ _62740 : [(349 ^ _62740) ^ [] : [-(aElementOf0(_73759, _73413))], (351 ^ _62740) ^ [_73980] : [aElementOf0(_73980, _73573), -(sdtlseqdt0(_73980, _73759))]]], (357 ^ _62740) ^ [_74167] : [-(aUpperBoundOfIn0(_74167, _73573, _73413)), aElementOf0(_74167, _73413), 363 ^ _62740 : [(364 ^ _62740) ^ [] : [-(aElementOf0(362 ^ [_73413, _73573, _74167], _73573))], (366 ^ _62740) ^ [] : [sdtlseqdt0(362 ^ [_73413, _73573, _74167], _74167)]]]]]]], (370 ^ _62740) ^ [_74635] : [aSet0(_74635), 373 ^ _62740 : [(374 ^ _62740) ^ [_74803] : [aSubsetOf0(_74803, _74635), 377 ^ _62740 : [(378 ^ _62740) ^ [_74997] : [aInfimumOfIn0(_74997, _74803, _74635), 381 ^ _62740 : [(382 ^ _62740) ^ [] : [-(aElementOf0(_74997, _74635))], (384 ^ _62740) ^ [] : [-(aLowerBoundOfIn0(_74997, _74803, _74635))], (386 ^ _62740) ^ [_75295] : [aLowerBoundOfIn0(_75295, _74803, _74635), -(sdtlseqdt0(_75295, _74997))]]], (392 ^ _62740) ^ [_75486] : [-(aInfimumOfIn0(_75486, _74803, _74635)), aElementOf0(_75486, _74635), aLowerBoundOfIn0(_75486, _74803, _74635), 402 ^ _62740 : [(403 ^ _62740) ^ [] : [-(aLowerBoundOfIn0(401 ^ [_74635, _74803, _75486], _74803, _74635))], (405 ^ _62740) ^ [] : [sdtlseqdt0(401 ^ [_74635, _74803, _75486], _75486)]]]]]]], (466 ^ _62740) ^ [] : [-(aSet0(xT))], (468 ^ _62740) ^ [] : [-(aSubsetOf0(xS, xT))], (470 ^ _62740) ^ [] : [-(aInfimumOfIn0(xu, xS, xT))], (472 ^ _62740) ^ [] : [-(aInfimumOfIn0(xv, xS, xT))], (448 ^ _62740) ^ [_77469] : [aSet0(_77469), 451 ^ _62740 : [(452 ^ _62740) ^ [_77624] : [aSubsetOf0(_77624, _77469), 455 ^ _62740 : [(456 ^ _62740) ^ [_77790, _77792] : [-(_77792 = _77790), aSupremumOfIn0(_77792, _77624, _77469), aSupremumOfIn0(_77790, _77624, _77469)]]]]], (409 ^ _62740) ^ [_76052] : [aSet0(_76052), 412 ^ _62740 : [(413 ^ _62740) ^ [_76220] : [aSubsetOf0(_76220, _76052), 416 ^ _62740 : [(417 ^ _62740) ^ [_76414] : [aSupremumOfIn0(_76414, _76220, _76052), 420 ^ _62740 : [(421 ^ _62740) ^ [] : [-(aElementOf0(_76414, _76052))], (423 ^ _62740) ^ [] : [-(aUpperBoundOfIn0(_76414, _76220, _76052))], (425 ^ _62740) ^ [_76712] : [aUpperBoundOfIn0(_76712, _76220, _76052), -(sdtlseqdt0(_76414, _76712))]]], (431 ^ _62740) ^ [_76903] : [-(aSupremumOfIn0(_76903, _76220, _76052)), aElementOf0(_76903, _76052), aUpperBoundOfIn0(_76903, _76220, _76052), 441 ^ _62740 : [(442 ^ _62740) ^ [] : [-(aUpperBoundOfIn0(440 ^ [_76052, _76220, _76903], _76220, _76052))], (444 ^ _62740) ^ [] : [sdtlseqdt0(_76903, 440 ^ [_76052, _76220, _76903])]]]]]]]], input).
% 0.33/1.38 ncf('1',plain,[xu = xv],start(474 ^ 0)).
% 0.33/1.38 ncf('1.1',plain,[-(xu = xv), aElement0(xu), aElement0(xv), sdtlseqdt0(xu, xv), sdtlseqdt0(xv, xu)],extension(264 ^ 1,bind([[_71130, _71132], [xv, xu]]))).
% 0.33/1.38 ncf('1.1.1',plain,[-(aElement0(xu)), 188 : aElementOf0(xu, xT), 188 : aSet0(xT)],extension(184 ^ 2,bind([[_68641, _68771], [xT, xu]]))).
% 0.33/1.38 ncf('1.1.1.1',plain,[-(aElementOf0(xu, xT)), 378 : aInfimumOfIn0(xu, xS, xT), 378 : aSubsetOf0(xS, xT), 374 : aSet0(xT)],extension(370 ^ 5,bind([[_74635, _74803, _74997], [xT, xS, xu]]))).
% 0.33/1.38 ncf('1.1.1.1.1',plain,[-(aInfimumOfIn0(xu, xS, xT))],extension(470 ^ 10)).
% 0.33/1.38 ncf('1.1.1.1.2',plain,[-(aSubsetOf0(xS, xT))],extension(468 ^ 8)).
% 0.33/1.38 ncf('1.1.1.1.3',plain,[-(aSet0(xT))],extension(466 ^ 6)).
% 0.33/1.38 ncf('1.1.1.2',plain,[-(aSet0(xT))],extension(466 ^ 3)).
% 0.33/1.38 ncf('1.1.2',plain,[-(aElement0(xv)), 188 : aElementOf0(xv, xT), 188 : aSet0(xT)],extension(184 ^ 2,bind([[_68641, _68771], [xT, xv]]))).
% 0.33/1.38 ncf('1.1.2.1',plain,[-(aElementOf0(xv, xT)), 378 : aInfimumOfIn0(xv, xS, xT), 378 : aSubsetOf0(xS, xT), 374 : aSet0(xT)],extension(370 ^ 5,bind([[_74635, _74803, _74997], [xT, xS, xv]]))).
% 0.33/1.38 ncf('1.1.2.1.1',plain,[-(aInfimumOfIn0(xv, xS, xT))],extension(472 ^ 10)).
% 0.33/1.38 ncf('1.1.2.1.2',plain,[-(aSubsetOf0(xS, xT))],extension(468 ^ 8)).
% 0.33/1.38 ncf('1.1.2.1.3',plain,[-(aSet0(xT))],extension(466 ^ 6)).
% 0.33/1.38 ncf('1.1.2.2',plain,[-(aSet0(xT))],extension(466 ^ 3)).
% 0.33/1.38 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([[_74635, _74803, _74997, _75295], [xT, xS, xv, xu]]))).
% 0.33/1.38 ncf('1.1.3.1',plain,[-(aLowerBoundOfIn0(xu, xS, xT)), aInfimumOfIn0(xu, xS, xT)],extension(378 ^ 9,bind([[_74997], [xu]]))).
% 0.33/1.38 ncf('1.1.3.1.1',plain,[-(aInfimumOfIn0(xu, xS, xT))],extension(470 ^ 10)).
% 0.33/1.38 ncf('1.1.3.2',plain,[-(aInfimumOfIn0(xv, xS, xT))],extension(472 ^ 7)).
% 0.33/1.38 ncf('1.1.3.3',plain,[-(aSubsetOf0(xS, xT))],extension(468 ^ 5)).
% 0.33/1.38 ncf('1.1.3.4',plain,[-(aSet0(xT))],extension(466 ^ 3)).
% 0.33/1.38 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([[_74635, _74803, _74997, _75295], [xT, xS, xu, xv]]))).
% 0.33/1.38 ncf('1.1.4.1',plain,[-(aLowerBoundOfIn0(xv, xS, xT)), aInfimumOfIn0(xv, xS, xT)],extension(378 ^ 9,bind([[_74997], [xv]]))).
% 0.33/1.38 ncf('1.1.4.1.1',plain,[-(aInfimumOfIn0(xv, xS, xT))],extension(472 ^ 10)).
% 0.33/1.38 ncf('1.1.4.2',plain,[-(aInfimumOfIn0(xu, xS, xT))],extension(470 ^ 7)).
% 0.33/1.38 ncf('1.1.4.3',plain,[-(aSubsetOf0(xS, xT))],extension(468 ^ 5)).
% 0.33/1.38 ncf('1.1.4.4',plain,[-(aSet0(xT))],extension(466 ^ 3)).
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------