TSTP Solution File: NUM437+5 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM437+5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n029.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 11:44:38 EDT 2023
% Result : Theorem 3.29s 3.43s
% Output : Proof 3.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM437+5 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 18 17:16:13 EDT 2023
% 0.13/0.33 % CPUTime :
% 3.29/3.43
% 3.29/3.43 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 3.29/3.43 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.29/3.43 %-----------------------------------------------------
% 3.29/3.43 ncf(matrix, plain, [(1107 ^ _142386) ^ [] : [-(aSet0(sbsmnsldt0(xS)))], (1109 ^ _142386) ^ [_179085] : [aElementOf0(_179085, sbsmnsldt0(xS)), 1112 ^ _142386 : [(1113 ^ _142386) ^ [] : [-(aInteger0(_179085))], (1116 ^ _142386) ^ [] : [-(aElementOf0(1114 ^ [_179085], xS))], (1118 ^ _142386) ^ [] : [-(aElementOf0(_179085, 1114 ^ [_179085]))]]], (1120 ^ _142386) ^ [_179446] : [-(aElementOf0(_179446, sbsmnsldt0(xS))), aInteger0(_179446), 1125 ^ _142386 : [(1126 ^ _142386) ^ [_179615] : [aElementOf0(_179615, xS), aElementOf0(_179446, _179615)]]], (1187 ^ _142386) ^ [] : [isOpen0(sbsmnsldt0(xS))], (1135 ^ _142386) ^ [] : [-(aElementOf0(1133 ^ [], sbsmnsldt0(xS)))], (1137 ^ _142386) ^ [_180131] : [aInteger0(_180131), -(_180131 = sz00), 1144 ^ _142386 : [(1181 ^ _142386) ^ [] : [-(aElementOf0(1179 ^ [_180131], szAzrzSzezqlpdtcmdtrp0(1133 ^ [], _180131)))], (1183 ^ _142386) ^ [] : [aElementOf0(1179 ^ [_180131], sbsmnsldt0(xS))], (1185 ^ _142386) ^ [] : [aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(1133 ^ [], _180131), sbsmnsldt0(xS))], (1145 ^ _142386) ^ [] : [-(aSet0(szAzrzSzezqlpdtcmdtrp0(1133 ^ [], _180131)))], (1147 ^ _142386) ^ [_180581] : [aElementOf0(_180581, szAzrzSzezqlpdtcmdtrp0(1133 ^ [], _180131)), 1150 ^ _142386 : [(1151 ^ _142386) ^ [] : [-(aInteger0(_180581))], (1154 ^ _142386) ^ [] : [-(aInteger0(1152 ^ [_180131, _180581]))], (1156 ^ _142386) ^ [] : [-(sdtasdt0(_180131, 1152 ^ [_180131, _180581]) = sdtpldt0(_180581, smndt0(1133 ^ [])))], (1158 ^ _142386) ^ [] : [-(aDivisorOf0(_180131, sdtpldt0(_180581, smndt0(1133 ^ []))))], (1160 ^ _142386) ^ [] : [-(sdteqdtlpzmzozddtrp0(_180581, 1133 ^ [], _180131))]]], (1162 ^ _142386) ^ [_181141] : [-(aElementOf0(_181141, szAzrzSzezqlpdtcmdtrp0(1133 ^ [], _180131))), aInteger0(_181141), 1167 ^ _142386 : [(1174 ^ _142386) ^ [] : [aDivisorOf0(_180131, sdtpldt0(_181141, smndt0(1133 ^ [])))], (1176 ^ _142386) ^ [] : [sdteqdtlpzmzozddtrp0(_181141, 1133 ^ [], _180131)], (1168 ^ _142386) ^ [_181362] : [aInteger0(_181362), sdtasdt0(_180131, _181362) = sdtpldt0(_181141, smndt0(1133 ^ []))]]]]], (140 ^ _142386) ^ [_146897, _146899, _146901, _146903] : [-(sdtbsmnsldt0(_146903, _146899) = sdtbsmnsldt0(_146901, _146897)), _146903 = _146901, _146899 = _146897], (150 ^ _142386) ^ [_147256, _147258, _147260, _147262] : [-(sdtslmnbsdt0(_147262, _147258) = sdtslmnbsdt0(_147260, _147256)), _147262 = _147260, _147258 = _147256], (160 ^ _142386) ^ [_147587, _147589] : [_147589 = _147587, -(stldt0(_147589) = stldt0(_147587))], (166 ^ _142386) ^ [_147833, _147835, _147837, _147839] : [-(sdtasdt0(_147839, _147835) = sdtasdt0(_147837, _147833)), _147839 = _147837, _147835 = _147833], (176 ^ _142386) ^ [_148192, _148194, _148196, _148198] : [-(sdtpldt0(_148198, _148194) = sdtpldt0(_148196, _148192)), _148198 = _148196, _148194 = _148192], (186 ^ _142386) ^ [_148523, _148525] : [_148525 = _148523, -(smndt0(_148525) = smndt0(_148523))], (202 ^ _142386) ^ [_149080, _149082] : [_149082 = _149080, -(sbsmnsldt0(_149082) = sbsmnsldt0(_149080))], (192 ^ _142386) ^ [_148769, _148771, _148773, _148775] : [-(szAzrzSzezqlpdtcmdtrp0(_148775, _148771) = szAzrzSzezqlpdtcmdtrp0(_148773, _148769)), _148775 = _148773, _148771 = _148769], (2 ^ _142386) ^ [_142530] : [-(_142530 = _142530)], (4 ^ _142386) ^ [_142637, _142639] : [_142639 = _142637, -(_142637 = _142639)], (10 ^ _142386) ^ [_142841, _142843, _142845] : [-(_142845 = _142841), _142845 = _142843, _142843 = _142841], (20 ^ _142386) ^ [_143154, _143156] : [-(isPrime0(_143154)), _143156 = _143154, isPrime0(_143156)], (30 ^ _142386) ^ [_143449, _143451] : [-(isFinite0(_143449)), _143451 = _143449, isFinite0(_143451)], (40 ^ _142386) ^ [_143744, _143746] : [-(isClosed0(_143744)), _143746 = _143744, isClosed0(_143746)], (50 ^ _142386) ^ [_144039, _144041] : [-(aSet0(_144039)), _144041 = _144039, aSet0(_144041)], (60 ^ _142386) ^ [_144334, _144336] : [-(aInteger0(_144334)), _144336 = _144334, aInteger0(_144336)], (70 ^ _142386) ^ [_144657, _144659, _144661, _144663] : [-(aDivisorOf0(_144661, _144657)), aDivisorOf0(_144663, _144659), _144663 = _144661, _144659 = _144657], (84 ^ _142386) ^ [_145129, _145131, _145133, _145135, _145137, _145139] : [-(sdteqdtlpzmzozddtrp0(_145137, _145133, _145129)), sdteqdtlpzmzozddtrp0(_145139, _145135, _145131), _145139 = _145137, _145135 = _145133, _145131 = _145129], (102 ^ _142386) ^ [_145710, _145712, _145714, _145716] : [-(aElementOf0(_145714, _145710)), aElementOf0(_145716, _145712), _145716 = _145714, _145712 = _145710], (130 ^ _142386) ^ [_146550, _146552] : [-(isOpen0(_146550)), _146552 = _146550, isOpen0(_146552)], (116 ^ _142386) ^ [_146154, _146156, _146158, _146160] : [-(aSubsetOf0(_146158, _146154)), aSubsetOf0(_146160, _146156), _146160 = _146158, _146156 = _146154], (208 ^ _142386) ^ [_149346] : [aInteger0(_149346), true___, -(true___)], (218 ^ _142386) ^ [] : [-(aInteger0(sz00))], (220 ^ _142386) ^ [] : [-(aInteger0(sz10))], (222 ^ _142386) ^ [_149707] : [aInteger0(_149707), -(aInteger0(smndt0(_149707)))], (228 ^ _142386) ^ [_149911, _149913] : [-(aInteger0(sdtpldt0(_149913, _149911))), aInteger0(_149913), aInteger0(_149911)], (238 ^ _142386) ^ [_150210, _150212] : [-(aInteger0(sdtasdt0(_150212, _150210))), aInteger0(_150212), aInteger0(_150210)], (248 ^ _142386) ^ [_150523, _150525, _150527] : [-(sdtpldt0(_150527, sdtpldt0(_150525, _150523)) = sdtpldt0(sdtpldt0(_150527, _150525), _150523)), aInteger0(_150527), aInteger0(_150525), aInteger0(_150523)], (262 ^ _142386) ^ [_150943, _150945] : [-(sdtpldt0(_150945, _150943) = sdtpldt0(_150943, _150945)), aInteger0(_150945), aInteger0(_150943)], (272 ^ _142386) ^ [_151236] : [aInteger0(_151236), 275 ^ _142386 : [(276 ^ _142386) ^ [] : [-(sdtpldt0(_151236, sz00) = _151236)], (278 ^ _142386) ^ [] : [-(_151236 = sdtpldt0(sz00, _151236))]]], (280 ^ _142386) ^ [_151509] : [aInteger0(_151509), 283 ^ _142386 : [(284 ^ _142386) ^ [] : [-(sdtpldt0(_151509, smndt0(_151509)) = sz00)], (286 ^ _142386) ^ [] : [-(sz00 = sdtpldt0(smndt0(_151509), _151509))]]], (288 ^ _142386) ^ [_151818, _151820, _151822] : [-(sdtasdt0(_151822, sdtasdt0(_151820, _151818)) = sdtasdt0(sdtasdt0(_151822, _151820), _151818)), aInteger0(_151822), aInteger0(_151820), aInteger0(_151818)], (302 ^ _142386) ^ [_152238, _152240] : [-(sdtasdt0(_152240, _152238) = sdtasdt0(_152238, _152240)), aInteger0(_152240), aInteger0(_152238)], (312 ^ _142386) ^ [_152531] : [aInteger0(_152531), 315 ^ _142386 : [(316 ^ _142386) ^ [] : [-(sdtasdt0(_152531, sz10) = _152531)], (318 ^ _142386) ^ [] : [-(_152531 = sdtasdt0(sz10, _152531))]]], (320 ^ _142386) ^ [_152832, _152834, _152836] : [331 ^ _142386 : [(332 ^ _142386) ^ [] : [-(sdtasdt0(_152836, sdtpldt0(_152834, _152832)) = sdtpldt0(sdtasdt0(_152836, _152834), sdtasdt0(_152836, _152832)))], (334 ^ _142386) ^ [] : [-(sdtasdt0(sdtpldt0(_152836, _152834), _152832) = sdtpldt0(sdtasdt0(_152836, _152832), sdtasdt0(_152834, _152832)))]], aInteger0(_152836), aInteger0(_152834), aInteger0(_152832)], (336 ^ _142386) ^ [_153351] : [aInteger0(_153351), 339 ^ _142386 : [(340 ^ _142386) ^ [] : [-(sdtasdt0(_153351, sz00) = sz00)], (342 ^ _142386) ^ [] : [-(sz00 = sdtasdt0(sz00, _153351))]]], (344 ^ _142386) ^ [_153624] : [aInteger0(_153624), 347 ^ _142386 : [(348 ^ _142386) ^ [] : [-(sdtasdt0(smndt0(sz10), _153624) = smndt0(_153624))], (350 ^ _142386) ^ [] : [-(smndt0(_153624) = sdtasdt0(_153624, smndt0(sz10)))]]], (352 ^ _142386) ^ [_153919, _153921] : [aInteger0(_153921), aInteger0(_153919), sdtasdt0(_153921, _153919) = sz00, -(_153921 = sz00), -(_153919 = sz00)], (370 ^ _142386) ^ [_154387] : [aInteger0(_154387), 373 ^ _142386 : [(374 ^ _142386) ^ [_154573] : [aDivisorOf0(_154573, _154387), 377 ^ _142386 : [(378 ^ _142386) ^ [] : [-(aInteger0(_154573))], (380 ^ _142386) ^ [] : [_154573 = sz00], (383 ^ _142386) ^ [] : [-(aInteger0(381 ^ [_154387, _154573]))], (385 ^ _142386) ^ [] : [-(sdtasdt0(_154573, 381 ^ [_154387, _154573]) = _154387)]]], (387 ^ _142386) ^ [_155035] : [-(aDivisorOf0(_155035, _154387)), aInteger0(_155035), -(_155035 = sz00), 396 ^ _142386 : [(397 ^ _142386) ^ [_155302] : [aInteger0(_155302), sdtasdt0(_155035, _155302) = _154387]]]]], (405 ^ _142386) ^ [_155605, _155607, _155609] : [aInteger0(_155609), aInteger0(_155607), aInteger0(_155605), -(_155605 = sz00), 420 ^ _142386 : [(421 ^ _142386) ^ [] : [sdteqdtlpzmzozddtrp0(_155609, _155607, _155605), -(aDivisorOf0(_155605, sdtpldt0(_155609, smndt0(_155607))))], (427 ^ _142386) ^ [] : [aDivisorOf0(_155605, sdtpldt0(_155609, smndt0(_155607))), -(sdteqdtlpzmzozddtrp0(_155609, _155607, _155605))]]], (433 ^ _142386) ^ [_156381, _156383] : [-(sdteqdtlpzmzozddtrp0(_156383, _156383, _156381)), aInteger0(_156383), aInteger0(_156381), -(_156381 = sz00)], (447 ^ _142386) ^ [_156784, _156786, _156788] : [sdteqdtlpzmzozddtrp0(_156788, _156786, _156784), -(sdteqdtlpzmzozddtrp0(_156786, _156788, _156784)), aInteger0(_156788), aInteger0(_156786), aInteger0(_156784), -(_156784 = sz00)], (469 ^ _142386) ^ [_157403, _157405, _157407, _157409] : [-(sdteqdtlpzmzozddtrp0(_157409, _157403, _157405)), sdteqdtlpzmzozddtrp0(_157409, _157407, _157405), sdteqdtlpzmzozddtrp0(_157407, _157403, _157405), aInteger0(_157409), aInteger0(_157407), aInteger0(_157405), -(_157405 = sz00), aInteger0(_157403)], (499 ^ _142386) ^ [_158240, _158242, _158244, _158246] : [sdteqdtlpzmzozddtrp0(_158246, _158244, sdtasdt0(_158242, _158240)), 526 ^ _142386 : [(527 ^ _142386) ^ [] : [-(sdteqdtlpzmzozddtrp0(_158246, _158244, _158242))], (529 ^ _142386) ^ [] : [-(sdteqdtlpzmzozddtrp0(_158246, _158244, _158240))]], aInteger0(_158246), aInteger0(_158244), aInteger0(_158242), -(_158242 = sz00), aInteger0(_158240), -(_158240 = sz00)], (531 ^ _142386) ^ [_159121] : [aInteger0(_159121), -(_159121 = sz00), isPrime0(_159121), true___, -(true___)], (549 ^ _142386) ^ [_159552] : [aInteger0(_159552), 552 ^ _142386 : [(553 ^ _142386) ^ [] : [560 ^ _142386 : [(561 ^ _142386) ^ [] : [_159552 = sz10], (563 ^ _142386) ^ [] : [_159552 = smndt0(sz10)]], 554 ^ _142386 : [(555 ^ _142386) ^ [_159759] : [aDivisorOf0(_159759, _159552), isPrime0(_159759)]]], (565 ^ _142386) ^ [] : [573 ^ _142386 : [(574 ^ _142386) ^ [] : [-(aDivisorOf0(572 ^ [_159552], _159552))], (576 ^ _142386) ^ [] : [-(isPrime0(572 ^ [_159552]))]], -(_159552 = sz10), -(_159552 = smndt0(sz10))]]], (578 ^ _142386) ^ [_160401] : [aSet0(_160401), true___, -(true___)], (588 ^ _142386) ^ [_160656] : [aSet0(_160656), 591 ^ _142386 : [(592 ^ _142386) ^ [_160784] : [aElementOf0(_160784, _160656), true___, -(true___)]]], (602 ^ _142386) ^ [_161061] : [aSet0(_161061), 605 ^ _142386 : [(606 ^ _142386) ^ [_161237] : [aSubsetOf0(_161237, _161061), 609 ^ _142386 : [(610 ^ _142386) ^ [] : [-(aSet0(_161237))], (612 ^ _142386) ^ [_161446] : [aElementOf0(_161446, _161237), -(aElementOf0(_161446, _161061))]]], (618 ^ _142386) ^ [_161625] : [-(aSubsetOf0(_161625, _161061)), aSet0(_161625), 624 ^ _142386 : [(625 ^ _142386) ^ [] : [-(aElementOf0(623 ^ [_161061, _161625], _161625))], (627 ^ _142386) ^ [] : [aElementOf0(623 ^ [_161061, _161625], _161061)]]]]], (631 ^ _142386) ^ [_162062] : [aSet0(_162062), isFinite0(_162062), true___, -(true___)], (645 ^ _142386) ^ [_162417, _162419] : [aSubsetOf0(_162419, cS1395), aSubsetOf0(_162417, cS1395), 652 ^ _142386 : [(683 ^ _142386) ^ [_163682] : [-(_163682 = sdtbsmnsldt0(_162419, _162417)), aSet0(_163682), 691 ^ _142386 : [(692 ^ _142386) ^ [] : [-(aElementOf0(688 ^ [_162417, _162419, _163682], _163682))], (694 ^ _142386) ^ [] : [aInteger0(688 ^ [_162417, _162419, _163682]), 697 ^ _142386 : [(698 ^ _142386) ^ [] : [aElementOf0(688 ^ [_162417, _162419, _163682], _162419)], (700 ^ _142386) ^ [] : [aElementOf0(688 ^ [_162417, _162419, _163682], _162417)]]]], 701 ^ _142386 : [(710 ^ _142386) ^ [] : [aElementOf0(688 ^ [_162417, _162419, _163682], _163682)], (702 ^ _142386) ^ [] : [-(aInteger0(688 ^ [_162417, _162419, _163682]))], (704 ^ _142386) ^ [] : [-(aElementOf0(688 ^ [_162417, _162419, _163682], _162419)), -(aElementOf0(688 ^ [_162417, _162419, _163682], _162417))]]], (653 ^ _142386) ^ [_162702] : [_162702 = sdtbsmnsldt0(_162419, _162417), 656 ^ _142386 : [(657 ^ _142386) ^ [] : [-(aSet0(_162702))], (659 ^ _142386) ^ [_162965] : [aElementOf0(_162965, _162702), 662 ^ _142386 : [(663 ^ _142386) ^ [] : [-(aInteger0(_162965))], (665 ^ _142386) ^ [] : [-(aElementOf0(_162965, _162419)), -(aElementOf0(_162965, _162417))]]], (671 ^ _142386) ^ [_163320] : [-(aElementOf0(_163320, _162702)), aInteger0(_163320), 676 ^ _142386 : [(677 ^ _142386) ^ [] : [aElementOf0(_163320, _162419)], (679 ^ _142386) ^ [] : [aElementOf0(_163320, _162417)]]]]]]], (714 ^ _142386) ^ [_164719, _164721] : [aSubsetOf0(_164721, cS1395), aSubsetOf0(_164719, cS1395), 721 ^ _142386 : [(752 ^ _142386) ^ [_165983] : [-(_165983 = sdtslmnbsdt0(_164721, _164719)), aSet0(_165983), 772 ^ _142386 : [(773 ^ _142386) ^ [] : [-(aInteger0(757 ^ [_164719, _164721, _165983]))], (775 ^ _142386) ^ [] : [-(aElementOf0(757 ^ [_164719, _164721, _165983], _164721))], (777 ^ _142386) ^ [] : [-(aElementOf0(757 ^ [_164719, _164721, _165983], _164719))], (779 ^ _142386) ^ [] : [aElementOf0(757 ^ [_164719, _164721, _165983], _165983)]], 760 ^ _142386 : [(761 ^ _142386) ^ [] : [-(aElementOf0(757 ^ [_164719, _164721, _165983], _165983))], (763 ^ _142386) ^ [] : [aInteger0(757 ^ [_164719, _164721, _165983]), aElementOf0(757 ^ [_164719, _164721, _165983], _164721), aElementOf0(757 ^ [_164719, _164721, _165983], _164719)]]], (722 ^ _142386) ^ [_165004] : [_165004 = sdtslmnbsdt0(_164721, _164719), 725 ^ _142386 : [(726 ^ _142386) ^ [] : [-(aSet0(_165004))], (728 ^ _142386) ^ [_165267] : [aElementOf0(_165267, _165004), 731 ^ _142386 : [(732 ^ _142386) ^ [] : [-(aInteger0(_165267))], (734 ^ _142386) ^ [] : [-(aElementOf0(_165267, _164721))], (736 ^ _142386) ^ [] : [-(aElementOf0(_165267, _164719))]]], (738 ^ _142386) ^ [_165602] : [-(aElementOf0(_165602, _165004)), aInteger0(_165602), aElementOf0(_165602, _164721), aElementOf0(_165602, _164719)]]]]], (783 ^ _142386) ^ [_167009] : [aSet0(_167009), 789 ^ _142386 : [(790 ^ _142386) ^ [] : [-(aElementOf0(788 ^ [_167009], _167009))], (792 ^ _142386) ^ [] : [aSubsetOf0(788 ^ [_167009], cS1395)]], 793 ^ _142386 : [(825 ^ _142386) ^ [_168512] : [-(_168512 = sbsmnsldt0(_167009)), aSet0(_168512), 845 ^ _142386 : [(846 ^ _142386) ^ [] : [-(aInteger0(830 ^ [_167009, _168512]))], (849 ^ _142386) ^ [] : [-(aElementOf0(847 ^ [_167009, _168512], _167009))], (851 ^ _142386) ^ [] : [-(aElementOf0(830 ^ [_167009, _168512], 847 ^ [_167009, _168512]))], (853 ^ _142386) ^ [] : [aElementOf0(830 ^ [_167009, _168512], _168512)]], 833 ^ _142386 : [(834 ^ _142386) ^ [] : [-(aElementOf0(830 ^ [_167009, _168512], _168512))], (836 ^ _142386) ^ [] : [aInteger0(830 ^ [_167009, _168512]), 839 ^ _142386 : [(840 ^ _142386) ^ [_168975] : [aElementOf0(_168975, _167009), aElementOf0(830 ^ [_167009, _168512], _168975)]]]]], (794 ^ _142386) ^ [_167423] : [_167423 = sbsmnsldt0(_167009), 797 ^ _142386 : [(798 ^ _142386) ^ [] : [-(aSet0(_167423))], (800 ^ _142386) ^ [_167681] : [aElementOf0(_167681, _167423), 803 ^ _142386 : [(804 ^ _142386) ^ [] : [-(aInteger0(_167681))], (807 ^ _142386) ^ [] : [-(aElementOf0(805 ^ [_167009, _167423, _167681], _167009))], (809 ^ _142386) ^ [] : [-(aElementOf0(_167681, 805 ^ [_167009, _167423, _167681]))]]], (811 ^ _142386) ^ [_168082] : [-(aElementOf0(_168082, _167423)), aInteger0(_168082), 816 ^ _142386 : [(817 ^ _142386) ^ [_168267] : [aElementOf0(_168267, _167009), aElementOf0(_168082, _168267)]]]]]]], (857 ^ _142386) ^ [_169617] : [aSubsetOf0(_169617, cS1395), 860 ^ _142386 : [(885 ^ _142386) ^ [_170576] : [-(_170576 = stldt0(_169617)), aSet0(_170576), 901 ^ _142386 : [(902 ^ _142386) ^ [] : [-(aInteger0(890 ^ [_169617, _170576]))], (904 ^ _142386) ^ [] : [aElementOf0(890 ^ [_169617, _170576], _169617)], (906 ^ _142386) ^ [] : [aElementOf0(890 ^ [_169617, _170576], _170576)]], 893 ^ _142386 : [(894 ^ _142386) ^ [] : [-(aElementOf0(890 ^ [_169617, _170576], _170576))], (896 ^ _142386) ^ [] : [aInteger0(890 ^ [_169617, _170576]), -(aElementOf0(890 ^ [_169617, _170576], _169617))]]], (861 ^ _142386) ^ [_169804] : [_169804 = stldt0(_169617), 864 ^ _142386 : [(865 ^ _142386) ^ [] : [-(aSet0(_169804))], (867 ^ _142386) ^ [_170053] : [aElementOf0(_170053, _169804), 870 ^ _142386 : [(871 ^ _142386) ^ [] : [-(aInteger0(_170053))], (873 ^ _142386) ^ [] : [aElementOf0(_170053, _169617)]]], (875 ^ _142386) ^ [_170301] : [-(aElementOf0(_170301, _169804)), aInteger0(_170301), -(aElementOf0(_170301, _169617))]]]]], (910 ^ _142386) ^ [_171385, _171387] : [aInteger0(_171387), aInteger0(_171385), -(_171385 = sz00), 921 ^ _142386 : [(946 ^ _142386) ^ [_172556] : [-(_172556 = szAzrzSzezqlpdtcmdtrp0(_171387, _171385)), aSet0(_172556), 962 ^ _142386 : [(963 ^ _142386) ^ [] : [-(aInteger0(951 ^ [_171385, _171387, _172556]))], (965 ^ _142386) ^ [] : [-(sdteqdtlpzmzozddtrp0(951 ^ [_171385, _171387, _172556], _171387, _171385))], (967 ^ _142386) ^ [] : [aElementOf0(951 ^ [_171385, _171387, _172556], _172556)]], 954 ^ _142386 : [(955 ^ _142386) ^ [] : [-(aElementOf0(951 ^ [_171385, _171387, _172556], _172556))], (957 ^ _142386) ^ [] : [aInteger0(951 ^ [_171385, _171387, _172556]), sdteqdtlpzmzozddtrp0(951 ^ [_171385, _171387, _172556], _171387, _171385)]]], (922 ^ _142386) ^ [_171753] : [_171753 = szAzrzSzezqlpdtcmdtrp0(_171387, _171385), 925 ^ _142386 : [(926 ^ _142386) ^ [] : [-(aSet0(_171753))], (928 ^ _142386) ^ [_172011] : [aElementOf0(_172011, _171753), 931 ^ _142386 : [(932 ^ _142386) ^ [] : [-(aInteger0(_172011))], (934 ^ _142386) ^ [] : [-(sdteqdtlpzmzozddtrp0(_172011, _171387, _171385))]]], (936 ^ _142386) ^ [_172270] : [-(aElementOf0(_172270, _171753)), aInteger0(_172270), sdteqdtlpzmzozddtrp0(_172270, _171387, _171385)]]]]], (971 ^ _142386) ^ [_173399] : [aSubsetOf0(_173399, cS1395), 974 ^ _142386 : [(975 ^ _142386) ^ [] : [isOpen0(_173399), 978 ^ _142386 : [(979 ^ _142386) ^ [_173661] : [aElementOf0(_173661, _173399), 983 ^ _142386 : [(984 ^ _142386) ^ [] : [-(aInteger0(982 ^ [_173399, _173661]))], (986 ^ _142386) ^ [] : [982 ^ [_173399, _173661] = sz00], (988 ^ _142386) ^ [] : [-(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(_173661, 982 ^ [_173399, _173661]), _173399))]]]]], (990 ^ _142386) ^ [] : [-(isOpen0(_173399)), 992 ^ _142386 : [(993 ^ _142386) ^ [] : [-(aElementOf0(991 ^ [_173399], _173399))], (995 ^ _142386) ^ [_174254] : [aInteger0(_174254), -(_174254 = sz00), aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(991 ^ [_173399], _174254), _173399)]]]]], (1007 ^ _142386) ^ [_174614] : [aSubsetOf0(_174614, cS1395), 1010 ^ _142386 : [(1011 ^ _142386) ^ [] : [isClosed0(_174614), -(isOpen0(stldt0(_174614)))], (1017 ^ _142386) ^ [] : [isOpen0(stldt0(_174614)), -(isClosed0(_174614))]]], (1023 ^ _142386) ^ [] : [-(aSet0(xS))], (1025 ^ _142386) ^ [_175077] : [aElementOf0(_175077, xS), 1028 ^ _142386 : [(1029 ^ _142386) ^ [] : [-(aSet0(cS1395))], (1031 ^ _142386) ^ [_175538] : [aElementOf0(_175538, cS1395), -(aInteger0(_175538))], (1037 ^ _142386) ^ [_175700] : [aInteger0(_175700), -(aElementOf0(_175700, cS1395))], (1043 ^ _142386) ^ [] : [-(aSet0(_175077))], (1045 ^ _142386) ^ [_175961] : [aElementOf0(_175961, _175077), -(aElementOf0(_175961, cS1395))], (1051 ^ _142386) ^ [] : [-(aSubsetOf0(_175077, cS1395))], (1105 ^ _142386) ^ [] : [-(isOpen0(_175077))], (1053 ^ _142386) ^ [_176223] : [aElementOf0(_176223, _175077), 1057 ^ _142386 : [(1058 ^ _142386) ^ [] : [-(aInteger0(1056 ^ [_175077, _176223]))], (1060 ^ _142386) ^ [] : [1056 ^ [_175077, _176223] = sz00], (1062 ^ _142386) ^ [] : [-(aSet0(szAzrzSzezqlpdtcmdtrp0(_176223, 1056 ^ [_175077, _176223])))], (1103 ^ _142386) ^ [] : [-(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(_176223, 1056 ^ [_175077, _176223]), _175077))], (1097 ^ _142386) ^ [_178350] : [aElementOf0(_178350, szAzrzSzezqlpdtcmdtrp0(_176223, 1056 ^ [_175077, _176223])), -(aElementOf0(_178350, _175077))], (1064 ^ _142386) ^ [_176982] : [aElementOf0(_176982, szAzrzSzezqlpdtcmdtrp0(_176223, 1056 ^ [_175077, _176223])), 1067 ^ _142386 : [(1068 ^ _142386) ^ [] : [-(aInteger0(_176982))], (1071 ^ _142386) ^ [] : [-(aInteger0(1069 ^ [_175077, _176223, _176982]))], (1073 ^ _142386) ^ [] : [-(sdtasdt0(1056 ^ [_175077, _176223], 1069 ^ [_175077, _176223, _176982]) = sdtpldt0(_176982, smndt0(_176223)))], (1075 ^ _142386) ^ [] : [-(aDivisorOf0(1056 ^ [_175077, _176223], sdtpldt0(_176982, smndt0(_176223))))], (1077 ^ _142386) ^ [] : [-(sdteqdtlpzmzozddtrp0(_176982, _176223, 1056 ^ [_175077, _176223]))]]], (1079 ^ _142386) ^ [_177639] : [-(aElementOf0(_177639, szAzrzSzezqlpdtcmdtrp0(_176223, 1056 ^ [_175077, _176223]))), aInteger0(_177639), 1084 ^ _142386 : [(1091 ^ _142386) ^ [] : [aDivisorOf0(1056 ^ [_175077, _176223], sdtpldt0(_177639, smndt0(_176223)))], (1093 ^ _142386) ^ [] : [sdteqdtlpzmzozddtrp0(_177639, _176223, 1056 ^ [_175077, _176223])], (1085 ^ _142386) ^ [_177900] : [aInteger0(_177900), sdtasdt0(1056 ^ [_175077, _176223], _177900) = sdtpldt0(_177639, smndt0(_176223))]]]]]]]], input).
% 3.29/3.43 ncf('1',plain,[aElementOf0(1114 ^ [1133 ^ []], xS), 1053 : aElementOf0(1133 ^ [], 1114 ^ [1133 ^ []]), 1060 : 1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []] = sz00],start(1025 ^ 0,bind([[_175077, _176223], [1114 ^ [1133 ^ []], 1133 ^ []]]))).
% 3.29/3.43 ncf('1.1',plain,[-(aElementOf0(1114 ^ [1133 ^ []], xS)), aElementOf0(1133 ^ [], sbsmnsldt0(xS))],extension(1109 ^ 1,bind([[_179085], [1133 ^ []]]))).
% 3.29/3.43 ncf('1.1.1',plain,[-(aElementOf0(1133 ^ [], sbsmnsldt0(xS)))],extension(1135 ^ 2)).
% 3.29/3.43 ncf('1.2',plain,[-(aElementOf0(1133 ^ [], 1114 ^ [1133 ^ []])), aElementOf0(1133 ^ [], sbsmnsldt0(xS))],extension(1109 ^ 3,bind([[_179085], [1133 ^ []]]))).
% 3.29/3.43 ncf('1.2.1',plain,[-(aElementOf0(1133 ^ [], sbsmnsldt0(xS)))],extension(1135 ^ 4)).
% 3.29/3.43 ncf('1.3',plain,[-(1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []] = sz00), aInteger0(1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]), 1147 : aElementOf0(1179 ^ [1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]], szAzrzSzezqlpdtcmdtrp0(1133 ^ [], 1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []])), 1151 : -(aInteger0(1179 ^ [1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]]))],extension(1137 ^ 5,bind([[_180131, _180581], [1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []], 1179 ^ [1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]]]]))).
% 3.29/3.43 ncf('1.3.1',plain,[-(aInteger0(1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]))],extension(1058 ^ 6)).
% 3.29/3.43 ncf('1.3.2',plain,[-(aElementOf0(1179 ^ [1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]], szAzrzSzezqlpdtcmdtrp0(1133 ^ [], 1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []])))],extension(1181 ^ 8)).
% 3.29/3.43 ncf('1.3.3',plain,[aInteger0(1179 ^ [1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]]), -(aElementOf0(1179 ^ [1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]], sbsmnsldt0(xS))), 1126 : aElementOf0(1114 ^ [1133 ^ []], xS), 1126 : aElementOf0(1179 ^ [1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]], 1114 ^ [1133 ^ []])],extension(1120 ^ 10,bind([[_179446, _179615], [1179 ^ [1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]], 1114 ^ [1133 ^ []]]]))).
% 3.29/3.43 ncf('1.3.3.1',plain,[aElementOf0(1179 ^ [1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]], sbsmnsldt0(xS))],extension(1183 ^ 11)).
% 3.29/3.43 ncf('1.3.3.2',plain,[-(aElementOf0(1114 ^ [1133 ^ []], xS)), aElementOf0(1133 ^ [], sbsmnsldt0(xS))],extension(1109 ^ 13,bind([[_179085], [1133 ^ []]]))).
% 3.29/3.43 ncf('1.3.3.2.1',plain,[-(aElementOf0(1133 ^ [], sbsmnsldt0(xS)))],extension(1135 ^ 14)).
% 3.29/3.43 ncf('1.3.3.3',plain,[-(aElementOf0(1179 ^ [1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]], 1114 ^ [1133 ^ []])), aElementOf0(1179 ^ [1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]], szAzrzSzezqlpdtcmdtrp0(1133 ^ [], 1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]))],extension(1097 ^ 13,bind([[_178350], [1179 ^ [1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]]]]))).
% 3.29/3.43 ncf('1.3.3.3.1',plain,[-(aElementOf0(1179 ^ [1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []]], szAzrzSzezqlpdtcmdtrp0(1133 ^ [], 1056 ^ [1114 ^ [1133 ^ []], 1133 ^ []])))],lemmata('[1].x')).
% 3.29/3.43 %-----------------------------------------------------
% 3.29/3.43 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------