TSTP Solution File: LAT381+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : LAT381+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n021.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 0.35s 1.40s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LAT381+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : nanocop.sh %s %d
% 0.13/0.35 % Computer : n021.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 14:20:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.35/1.40
% 0.35/1.40 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.40 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.40 %-----------------------------------------------------
% 0.35/1.40 ncf(matrix, plain, [(456 ^ _60174) ^ [] : [xu = xv], (2 ^ _60174) ^ [_60298] : [-(_60298 = _60298)], (4 ^ _60174) ^ [_60405, _60407] : [_60407 = _60405, -(_60405 = _60407)], (10 ^ _60174) ^ [_60609, _60611, _60613] : [-(_60613 = _60609), _60613 = _60611, _60611 = _60609], (20 ^ _60174) ^ [_60922, _60924] : [-(isEmpty0(_60922)), _60924 = _60922, isEmpty0(_60924)], (30 ^ _60174) ^ [_61217, _61219] : [-(aElement0(_61217)), _61219 = _61217, aElement0(_61219)], (40 ^ _60174) ^ [_61568, _61570, _61572, _61574, _61576, _61578] : [-(aInfimumOfIn0(_61576, _61572, _61568)), aInfimumOfIn0(_61578, _61574, _61570), _61578 = _61576, _61574 = _61572, _61570 = _61568], (58 ^ _60174) ^ [_62177, _62179, _62181, _62183, _62185, _62187] : [-(aLowerBoundOfIn0(_62185, _62181, _62177)), aLowerBoundOfIn0(_62187, _62183, _62179), _62187 = _62185, _62183 = _62181, _62179 = _62177], (76 ^ _60174) ^ [_62758, _62760, _62762, _62764] : [-(aElementOf0(_62762, _62758)), aElementOf0(_62764, _62760), _62764 = _62762, _62760 = _62758], (90 ^ _60174) ^ [_63230, _63232, _63234, _63236, _63238, _63240] : [-(aUpperBoundOfIn0(_63238, _63234, _63230)), aUpperBoundOfIn0(_63240, _63236, _63232), _63240 = _63238, _63236 = _63234, _63232 = _63230], (108 ^ _60174) ^ [_63811, _63813, _63815, _63817] : [-(sdtlseqdt0(_63815, _63811)), sdtlseqdt0(_63817, _63813), _63817 = _63815, _63813 = _63811], (122 ^ _60174) ^ [_64227, _64229] : [-(aSet0(_64227)), _64229 = _64227, aSet0(_64229)], (132 ^ _60174) ^ [_64550, _64552, _64554, _64556] : [-(aSubsetOf0(_64554, _64550)), aSubsetOf0(_64556, _64552), _64556 = _64554, _64552 = _64550], (146 ^ _60174) ^ [_65002, _65004, _65006, _65008, _65010, _65012] : [-(aSupremumOfIn0(_65010, _65006, _65002)), aSupremumOfIn0(_65012, _65008, _65004), _65012 = _65010, _65008 = _65006, _65004 = _65002], (164 ^ _60174) ^ [_65565] : [aSet0(_65565), true___, -(true___)], (174 ^ _60174) ^ [_65820] : [aElement0(_65820), true___, -(true___)], (184 ^ _60174) ^ [_66075] : [aSet0(_66075), 187 ^ _60174 : [(188 ^ _60174) ^ [_66205] : [aElementOf0(_66205, _66075), -(aElement0(_66205))]]], (194 ^ _60174) ^ [_66406] : [aSet0(_66406), 197 ^ _60174 : [(198 ^ _60174) ^ [] : [isEmpty0(_66406), 201 ^ _60174 : [(202 ^ _60174) ^ [_66625] : [aElementOf0(_66625, _66406)]]], (204 ^ _60174) ^ [] : [-(aElementOf0(205 ^ [_66406], _66406)), -(isEmpty0(_66406))]]], (211 ^ _60174) ^ [_66901] : [aSet0(_66901), 214 ^ _60174 : [(215 ^ _60174) ^ [_67077] : [aSubsetOf0(_67077, _66901), 218 ^ _60174 : [(219 ^ _60174) ^ [] : [-(aSet0(_67077))], (221 ^ _60174) ^ [_67286] : [aElementOf0(_67286, _67077), -(aElementOf0(_67286, _66901))]]], (227 ^ _60174) ^ [_67465] : [-(aSubsetOf0(_67465, _66901)), aSet0(_67465), 233 ^ _60174 : [(234 ^ _60174) ^ [] : [-(aElementOf0(232 ^ [_66901, _67465], _67465))], (236 ^ _60174) ^ [] : [aElementOf0(232 ^ [_66901, _67465], _66901)]]]]], (240 ^ _60174) ^ [_67916, _67918] : [aElement0(_67918), aElement0(_67916), sdtlseqdt0(_67918, _67916), true___, -(true___)], (258 ^ _60174) ^ [_68362] : [aElement0(_68362), -(sdtlseqdt0(_68362, _68362))], (264 ^ _60174) ^ [_68564, _68566] : [aElement0(_68566), aElement0(_68564), -(_68566 = _68564), sdtlseqdt0(_68566, _68564), sdtlseqdt0(_68564, _68566)], (282 ^ _60174) ^ [_69053, _69055, _69057] : [aElement0(_69057), aElement0(_69055), aElement0(_69053), -(sdtlseqdt0(_69057, _69053)), sdtlseqdt0(_69057, _69055), sdtlseqdt0(_69055, _69053)], (304 ^ _60174) ^ [_69625] : [aSet0(_69625), 307 ^ _60174 : [(308 ^ _60174) ^ [_69785] : [aSubsetOf0(_69785, _69625), 311 ^ _60174 : [(312 ^ _60174) ^ [_69971] : [aLowerBoundOfIn0(_69971, _69785, _69625), 315 ^ _60174 : [(316 ^ _60174) ^ [] : [-(aElementOf0(_69971, _69625))], (318 ^ _60174) ^ [_70192] : [aElementOf0(_70192, _69785), -(sdtlseqdt0(_69971, _70192))]]], (324 ^ _60174) ^ [_70379] : [-(aLowerBoundOfIn0(_70379, _69785, _69625)), aElementOf0(_70379, _69625), 330 ^ _60174 : [(331 ^ _60174) ^ [] : [-(aElementOf0(329 ^ [_69625, _69785, _70379], _69785))], (333 ^ _60174) ^ [] : [sdtlseqdt0(_70379, 329 ^ [_69625, _69785, _70379])]]]]]]], (337 ^ _60174) ^ [_70847] : [aSet0(_70847), 340 ^ _60174 : [(341 ^ _60174) ^ [_71007] : [aSubsetOf0(_71007, _70847), 344 ^ _60174 : [(345 ^ _60174) ^ [_71193] : [aUpperBoundOfIn0(_71193, _71007, _70847), 348 ^ _60174 : [(349 ^ _60174) ^ [] : [-(aElementOf0(_71193, _70847))], (351 ^ _60174) ^ [_71414] : [aElementOf0(_71414, _71007), -(sdtlseqdt0(_71414, _71193))]]], (357 ^ _60174) ^ [_71601] : [-(aUpperBoundOfIn0(_71601, _71007, _70847)), aElementOf0(_71601, _70847), 363 ^ _60174 : [(364 ^ _60174) ^ [] : [-(aElementOf0(362 ^ [_70847, _71007, _71601], _71007))], (366 ^ _60174) ^ [] : [sdtlseqdt0(362 ^ [_70847, _71007, _71601], _71601)]]]]]]], (370 ^ _60174) ^ [_72069] : [aSet0(_72069), 373 ^ _60174 : [(374 ^ _60174) ^ [_72237] : [aSubsetOf0(_72237, _72069), 377 ^ _60174 : [(378 ^ _60174) ^ [_72431] : [aInfimumOfIn0(_72431, _72237, _72069), 381 ^ _60174 : [(382 ^ _60174) ^ [] : [-(aElementOf0(_72431, _72069))], (384 ^ _60174) ^ [] : [-(aLowerBoundOfIn0(_72431, _72237, _72069))], (386 ^ _60174) ^ [_72729] : [aLowerBoundOfIn0(_72729, _72237, _72069), -(sdtlseqdt0(_72729, _72431))]]], (392 ^ _60174) ^ [_72920] : [-(aInfimumOfIn0(_72920, _72237, _72069)), aElementOf0(_72920, _72069), aLowerBoundOfIn0(_72920, _72237, _72069), 402 ^ _60174 : [(403 ^ _60174) ^ [] : [-(aLowerBoundOfIn0(401 ^ [_72069, _72237, _72920], _72237, _72069))], (405 ^ _60174) ^ [] : [sdtlseqdt0(401 ^ [_72069, _72237, _72920], _72920)]]]]]]], (448 ^ _60174) ^ [] : [-(aSet0(xT))], (450 ^ _60174) ^ [] : [-(aSubsetOf0(xS, xT))], (452 ^ _60174) ^ [] : [-(aSupremumOfIn0(xu, xS, xT))], (454 ^ _60174) ^ [] : [-(aSupremumOfIn0(xv, xS, xT))], (409 ^ _60174) ^ [_73486] : [aSet0(_73486), 412 ^ _60174 : [(413 ^ _60174) ^ [_73654] : [aSubsetOf0(_73654, _73486), 416 ^ _60174 : [(417 ^ _60174) ^ [_73848] : [aSupremumOfIn0(_73848, _73654, _73486), 420 ^ _60174 : [(421 ^ _60174) ^ [] : [-(aElementOf0(_73848, _73486))], (423 ^ _60174) ^ [] : [-(aUpperBoundOfIn0(_73848, _73654, _73486))], (425 ^ _60174) ^ [_74146] : [aUpperBoundOfIn0(_74146, _73654, _73486), -(sdtlseqdt0(_73848, _74146))]]], (431 ^ _60174) ^ [_74337] : [-(aSupremumOfIn0(_74337, _73654, _73486)), aElementOf0(_74337, _73486), aUpperBoundOfIn0(_74337, _73654, _73486), 441 ^ _60174 : [(442 ^ _60174) ^ [] : [-(aUpperBoundOfIn0(440 ^ [_73486, _73654, _74337], _73654, _73486))], (444 ^ _60174) ^ [] : [sdtlseqdt0(_74337, 440 ^ [_73486, _73654, _74337])]]]]]]]], input).
% 0.35/1.40 ncf('1',plain,[xu = xv],start(456 ^ 0)).
% 0.35/1.40 ncf('1.1',plain,[-(xu = xv), aElement0(xu), aElement0(xv), sdtlseqdt0(xu, xv), sdtlseqdt0(xv, xu)],extension(264 ^ 1,bind([[_68564, _68566], [xv, xu]]))).
% 0.35/1.40 ncf('1.1.1',plain,[-(aElement0(xu)), 188 : aElementOf0(xu, xT), 188 : aSet0(xT)],extension(184 ^ 2,bind([[_66075, _66205], [xT, xu]]))).
% 0.35/1.40 ncf('1.1.1.1',plain,[-(aElementOf0(xu, xT)), 417 : aSupremumOfIn0(xu, xS, xT), 417 : aSubsetOf0(xS, xT), 413 : aSet0(xT)],extension(409 ^ 5,bind([[_73486, _73654, _73848], [xT, xS, xu]]))).
% 0.35/1.40 ncf('1.1.1.1.1',plain,[-(aSupremumOfIn0(xu, xS, xT))],extension(452 ^ 10)).
% 0.35/1.40 ncf('1.1.1.1.2',plain,[-(aSubsetOf0(xS, xT))],extension(450 ^ 8)).
% 0.35/1.40 ncf('1.1.1.1.3',plain,[-(aSet0(xT))],extension(448 ^ 6)).
% 0.35/1.40 ncf('1.1.1.2',plain,[-(aSet0(xT))],extension(448 ^ 3)).
% 0.35/1.40 ncf('1.1.2',plain,[-(aElement0(xv)), 188 : aElementOf0(xv, xT), 188 : aSet0(xT)],extension(184 ^ 2,bind([[_66075, _66205], [xT, xv]]))).
% 0.35/1.40 ncf('1.1.2.1',plain,[-(aElementOf0(xv, xT)), 417 : aSupremumOfIn0(xv, xS, xT), 417 : aSubsetOf0(xS, xT), 413 : aSet0(xT)],extension(409 ^ 5,bind([[_73486, _73654, _73848], [xT, xS, xv]]))).
% 0.35/1.40 ncf('1.1.2.1.1',plain,[-(aSupremumOfIn0(xv, xS, xT))],extension(454 ^ 10)).
% 0.35/1.40 ncf('1.1.2.1.2',plain,[-(aSubsetOf0(xS, xT))],extension(450 ^ 8)).
% 0.35/1.40 ncf('1.1.2.1.3',plain,[-(aSet0(xT))],extension(448 ^ 6)).
% 0.35/1.40 ncf('1.1.2.2',plain,[-(aSet0(xT))],extension(448 ^ 3)).
% 0.35/1.40 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([[_73486, _73654, _73848, _74146], [xT, xS, xu, xv]]))).
% 0.35/1.40 ncf('1.1.3.1',plain,[-(aUpperBoundOfIn0(xv, xS, xT)), aSupremumOfIn0(xv, xS, xT)],extension(417 ^ 9,bind([[_73848], [xv]]))).
% 0.35/1.40 ncf('1.1.3.1.1',plain,[-(aSupremumOfIn0(xv, xS, xT))],extension(454 ^ 10)).
% 0.35/1.40 ncf('1.1.3.2',plain,[-(aSupremumOfIn0(xu, xS, xT))],extension(452 ^ 7)).
% 0.35/1.40 ncf('1.1.3.3',plain,[-(aSubsetOf0(xS, xT))],extension(450 ^ 5)).
% 0.35/1.40 ncf('1.1.3.4',plain,[-(aSet0(xT))],extension(448 ^ 3)).
% 0.35/1.40 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([[_73486, _73654, _73848, _74146], [xT, xS, xv, xu]]))).
% 0.35/1.40 ncf('1.1.4.1',plain,[-(aUpperBoundOfIn0(xu, xS, xT)), aSupremumOfIn0(xu, xS, xT)],extension(417 ^ 9,bind([[_73848], [xu]]))).
% 0.35/1.40 ncf('1.1.4.1.1',plain,[-(aSupremumOfIn0(xu, xS, xT))],extension(452 ^ 10)).
% 0.35/1.40 ncf('1.1.4.2',plain,[-(aSupremumOfIn0(xv, xS, xT))],extension(454 ^ 7)).
% 0.35/1.40 ncf('1.1.4.3',plain,[-(aSubsetOf0(xS, xT))],extension(450 ^ 5)).
% 0.38/1.40 ncf('1.1.4.4',plain,[-(aSet0(xT))],extension(448 ^ 3)).
% 0.38/1.40 %-----------------------------------------------------
% 0.38/1.40 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------