TSTP Solution File: NUM545+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM545+2 : 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 11:44:57 EDT 2023
% Result : Theorem 58.42s 57.15s
% Output : Proof 58.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : NUM545+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n031.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 18:13:40 EDT 2023
% 0.12/0.33 % CPUTime :
% 58.42/57.15
% 58.42/57.15 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 58.42/57.15 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.42/57.15 %-----------------------------------------------------
% 58.42/57.15 ncf(matrix, plain, [(1121 ^ _177788) ^ [_177833] : [aElementOf0(_177833, szNzAzT0), 1124 ^ _177788 : [(1148 ^ _177788) ^ [] : [aElementOf0(1144 ^ [_177833], slbdtrb0(_177833))], (1146 ^ _177788) ^ [] : [-(aElementOf0(1144 ^ [_177833], xS))], (1135 ^ _177788) ^ [_178371] : [-(aElementOf0(_178371, slbdtrb0(_177833))), aElementOf0(_178371, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_178371), _177833)], (1125 ^ _177788) ^ [] : [-(aSet0(slbdtrb0(_177833)))], (1127 ^ _177788) ^ [_178124] : [aElementOf0(_178124, slbdtrb0(_177833)), 1130 ^ _177788 : [(1133 ^ _177788) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_178124), _177833))], (1131 ^ _177788) ^ [] : [-(aElementOf0(_178124, szNzAzT0))]]], (1150 ^ _177788) ^ [] : [aSubsetOf0(xS, slbdtrb0(_177833))]]], !, (699 ^ _143105) ^ [_164839, _164841, _164843] : [aElementOf0(_164843, szNzAzT0), aElementOf0(_164841, szNzAzT0), aElementOf0(_164839, szNzAzT0), -(sdtlseqdt0(_164843, _164839)), sdtlseqdt0(_164843, _164841), sdtlseqdt0(_164841, _164839)], (681 ^ _143105) ^ [_164346, _164348] : [aElementOf0(_164348, szNzAzT0), aElementOf0(_164346, szNzAzT0), -(_164348 = _164346), sdtlseqdt0(_164348, _164346), sdtlseqdt0(_164346, _164348)], (88 ^ _143105) ^ [_145949, _145951, _145953, _145955] : [-(aElementOf0(_145953, _145949)), aElementOf0(_145955, _145951), _145955 = _145953, _145951 = _145949], (176 ^ _143105) ^ [_148864] : [aElement0(_148864), true___, -(true___)], (74 ^ _143105) ^ [_145505, _145507, _145509, _145511] : [-(sdtlseqdt0(_145509, _145505)), sdtlseqdt0(_145511, _145507), _145511 = _145509, _145507 = _145505], (196 ^ _143105) ^ [_149450] : [aSet0(_149450), isFinite0(_149450), true___, -(true___)], (600 ^ _143105) ^ [_161924] : [aElementOf0(_161924, szNzAzT0), -(_161924 = sz00), 608 ^ _143105 : [(611 ^ _143105) ^ [] : [-(_161924 = szszuzczcdt0(607 ^ [_161924]))], (609 ^ _143105) ^ [] : [-(aElementOf0(607 ^ [_161924], szNzAzT0))]]], (613 ^ _143105) ^ [_162341] : [aElementOf0(_162341, szNzAzT0), _162341 = szszuzczcdt0(_162341)], (102 ^ _143105) ^ [_146373, _146375, _146377, _146379] : [-(aSubsetOf0(_146377, _146373)), aSubsetOf0(_146379, _146375), _146379 = _146377, _146375 = _146373], (294 ^ _143105) ^ [_152335] : [aSet0(_152335), isFinite0(_152335), 301 ^ _143105 : [(302 ^ _143105) ^ [_152548] : [aSubsetOf0(_152548, _152335), -(isFinite0(_152548))]]], (30 ^ _143105) ^ [_144176, _144178, _144180, _144182] : [-(iLess0(_144180, _144176)), iLess0(_144182, _144178), _144182 = _144180, _144178 = _144176], (1019 ^ _143105) ^ [] : [-(slbdtrb0(sz00) = slcrc0)], (516 ^ _143105) ^ [_159377] : [aElement0(_159377), 519 ^ _143105 : [(520 ^ _143105) ^ [_159514] : [-(isCountable0(sdtpldt0(_159514, _159377))), aSet0(_159514), isCountable0(_159514)]]], (255 ^ _143105) ^ [_151062] : [_151062 = slcrc0, aSet0(_151062), isCountable0(_151062)], (502 ^ _143105) ^ [_158990, _158992] : [aElement0(_158992), aSet0(_158990), -(aElementOf0(_158992, _158990)), -(sdtmndt0(sdtpldt0(_158990, _158992), _158992) = _158990)], (142 ^ _143105) ^ [_147745, _147747] : [_147747 = _147745, -(szmzizndt0(_147747) = szmzizndt0(_147745))], (354 ^ _143105) ^ [_154028, _154030] : [aSet0(_154030), aElement0(_154028), 361 ^ _143105 : [(362 ^ _143105) ^ [_154309] : [_154309 = sdtpldt0(_154030, _154028), 365 ^ _143105 : [(380 ^ _143105) ^ [_154927] : [-(aElementOf0(_154927, _154309)), aElement0(_154927), 385 ^ _143105 : [(388 ^ _143105) ^ [] : [_154927 = _154028], (386 ^ _143105) ^ [] : [aElementOf0(_154927, _154030)]]], (368 ^ _143105) ^ [_154572] : [aElementOf0(_154572, _154309), 371 ^ _143105 : [(374 ^ _143105) ^ [] : [-(aElementOf0(_154572, _154030)), -(_154572 = _154028)], (372 ^ _143105) ^ [] : [-(aElement0(_154572))]]], (366 ^ _143105) ^ [] : [-(aSet0(_154309))]]], (392 ^ _143105) ^ [_155289] : [-(_155289 = sdtpldt0(_154030, _154028)), aSet0(_155289), 400 ^ _143105 : [(403 ^ _143105) ^ [] : [aElement0(397 ^ [_154028, _154030, _155289]), 406 ^ _143105 : [(409 ^ _143105) ^ [] : [397 ^ [_154028, _154030, _155289] = _154028], (407 ^ _143105) ^ [] : [aElementOf0(397 ^ [_154028, _154030, _155289], _154030)]]], (401 ^ _143105) ^ [] : [-(aElementOf0(397 ^ [_154028, _154030, _155289], _155289))]], 410 ^ _143105 : [(413 ^ _143105) ^ [] : [-(aElementOf0(397 ^ [_154028, _154030, _155289], _154030)), -(397 ^ [_154028, _154030, _155289] = _154028)], (411 ^ _143105) ^ [] : [-(aElement0(397 ^ [_154028, _154030, _155289]))], (419 ^ _143105) ^ [] : [aElementOf0(397 ^ [_154028, _154030, _155289], _155289)]]]]], (1047 ^ _143105) ^ [_175329, _175331] : [aElementOf0(_175331, szNzAzT0), aElementOf0(_175329, szNzAzT0), 1054 ^ _143105 : [(1061 ^ _143105) ^ [] : [aSubsetOf0(slbdtrb0(_175331), slbdtrb0(_175329)), -(sdtlseqdt0(_175331, _175329))], (1055 ^ _143105) ^ [] : [sdtlseqdt0(_175331, _175329), -(aSubsetOf0(slbdtrb0(_175331), slbdtrb0(_175329)))]]], (1079 ^ _143105) ^ [] : [1080 ^ _143105 : [(1083 ^ _143105) ^ [] : [-(xS = slcrc0)], (1081 ^ _143105) ^ [_176249] : [aElementOf0(_176249, xS)]], 1084 ^ _143105 : [(1093 ^ _143105) ^ [] : [-(aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))))], (1095 ^ _143105) ^ [_176702] : [aElementOf0(_176702, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))), 1098 ^ _143105 : [(1101 ^ _143105) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_176702), szszuzczcdt0(szmzazxdt0(xS))))], (1099 ^ _143105) ^ [] : [-(aElementOf0(_176702, szNzAzT0))]]], (1103 ^ _143105) ^ [_176935] : [-(aElementOf0(_176935, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))), aElementOf0(_176935, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_176935), szszuzczcdt0(szmzazxdt0(xS)))], (1119 ^ _143105) ^ [] : [-(aSubsetOf0(xS, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))))], (1085 ^ _143105) ^ [] : [-(aElementOf0(szmzazxdt0(xS), xS))], (1087 ^ _143105) ^ [_176430] : [aElementOf0(_176430, xS), -(sdtlseqdt0(_176430, szmzazxdt0(xS)))], (1113 ^ _143105) ^ [_177216] : [aElementOf0(_177216, xS), -(aElementOf0(_177216, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))))]]], (308 ^ _143105) ^ [_152751] : [aSet0(_152751), -(aSubsetOf0(_152751, _152751))], (574 ^ _143105) ^ [] : [-(isCountable0(szNzAzT0))], (829 ^ _143105) ^ [_168521] : [aSet0(_168521), 832 ^ _143105 : [(833 ^ _143105) ^ [_168661] : [-(sdtlseqdt0(sbrdtbr0(_168661), sbrdtbr0(_168521))), isFinite0(_168521), aSubsetOf0(_168661, _168521)]]], (558 ^ _143105) ^ [_160664] : [aElement0(_160664), 561 ^ _143105 : [(562 ^ _143105) ^ [_160801] : [-(isFinite0(sdtmndt0(_160801, _160664))), aSet0(_160801), isFinite0(_160801)]]], (10 ^ _143105) ^ [_143540, _143542, _143544] : [-(_143544 = _143540), _143544 = _143542, _143542 = _143540], (578 ^ _143105) ^ [_161254] : [aElementOf0(_161254, szNzAzT0), 581 ^ _143105 : [(584 ^ _143105) ^ [] : [szszuzczcdt0(_161254) = sz00], (582 ^ _143105) ^ [] : [-(aElementOf0(szszuzczcdt0(_161254), szNzAzT0))]]], (637 ^ _143105) ^ [_163000] : [aElementOf0(_163000, szNzAzT0), -(sdtlseqdt0(sz00, _163000))], (1067 ^ _143105) ^ [] : [-(aSet0(xS))], (154 ^ _143105) ^ [_148181, _148183] : [_148183 = _148181, -(szszuzczcdt0(_148183) = szszuzczcdt0(_148181))], (136 ^ _143105) ^ [_147527, _147529] : [_147529 = _147527, -(sbrdtbr0(_147529) = sbrdtbr0(_147527))], (20 ^ _143105) ^ [_143853, _143855] : [-(isCountable0(_143853)), _143855 = _143853, isCountable0(_143855)], (619 ^ _143105) ^ [_162550, _162552] : [aElementOf0(_162552, szNzAzT0), aElementOf0(_162550, szNzAzT0), sdtlseqdt0(_162552, _162550), true___, -(true___)], (126 ^ _143105) ^ [_147196, _147198, _147200, _147202] : [-(sdtmndt0(_147202, _147198) = sdtmndt0(_147200, _147196)), _147202 = _147200, _147198 = _147196], (160 ^ _143105) ^ [_148379, _148381] : [_148381 = _148379, -(slbdtrb0(_148381) = slbdtrb0(_148379))], (54 ^ _143105) ^ [_144887, _144889] : [-(isFinite0(_144887)), _144889 = _144887, isFinite0(_144889)], (759 ^ _143105) ^ [_166470] : [aSet0(_166470), -(aElement0(sbrdtbr0(_166470)))], (765 ^ _143105) ^ [_166660] : [aSet0(_166660), 768 ^ _143105 : [(775 ^ _143105) ^ [] : [isFinite0(_166660), -(aElementOf0(sbrdtbr0(_166660), szNzAzT0))], (769 ^ _143105) ^ [] : [aElementOf0(sbrdtbr0(_166660), szNzAzT0), -(isFinite0(_166660))]]], (960 ^ _143105) ^ [_172571] : [aElementOf0(_172571, szNzAzT0), 963 ^ _143105 : [(964 ^ _143105) ^ [_172759] : [_172759 = slbdtrb0(_172571), 967 ^ _143105 : [(978 ^ _143105) ^ [_173262] : [-(aElementOf0(_173262, _172759)), aElementOf0(_173262, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_173262), _172571)], (970 ^ _143105) ^ [_173009] : [aElementOf0(_173009, _172759), 973 ^ _143105 : [(976 ^ _143105) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_173009), _172571))], (974 ^ _143105) ^ [] : [-(aElementOf0(_173009, szNzAzT0))]]], (968 ^ _143105) ^ [] : [-(aSet0(_172759))]]], (988 ^ _143105) ^ [_173540] : [-(_173540 = slbdtrb0(_172571)), aSet0(_173540), 1004 ^ _143105 : [(1009 ^ _143105) ^ [] : [aElementOf0(993 ^ [_172571, _173540], _173540)], (1007 ^ _143105) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(993 ^ [_172571, _173540]), _172571))], (1005 ^ _143105) ^ [] : [-(aElementOf0(993 ^ [_172571, _173540], szNzAzT0))]], 996 ^ _143105 : [(999 ^ _143105) ^ [] : [aElementOf0(993 ^ [_172571, _173540], szNzAzT0), sdtlseqdt0(szszuzczcdt0(993 ^ [_172571, _173540]), _172571)], (997 ^ _143105) ^ [] : [-(aElementOf0(993 ^ [_172571, _173540], _173540))]]]]], (210 ^ _143105) ^ [_149820] : [_149820 = slcrc0, 213 ^ _143105 : [(216 ^ _143105) ^ [_150001] : [aElementOf0(_150001, _149820)], (214 ^ _143105) ^ [] : [-(aSet0(_149820))]]], (2 ^ _143105) ^ [_143229] : [-(_143229 = _143229)], (781 ^ _143105) ^ [_167091] : [aSet0(_167091), 784 ^ _143105 : [(791 ^ _143105) ^ [] : [_167091 = slcrc0, -(sbrdtbr0(_167091) = sz00)], (785 ^ _143105) ^ [] : [sbrdtbr0(_167091) = sz00, -(_167091 = slcrc0)]]], (229 ^ _143105) ^ [] : [-(isFinite0(slcrc0))], (843 ^ _143105) ^ [_168973, _168975] : [aSet0(_168975), aElementOf0(_168973, szNzAzT0), 859 ^ _143105 : [(862 ^ _143105) ^ [] : [-(sbrdtbr0(858 ^ [_168973, _168975]) = _168973)], (860 ^ _143105) ^ [] : [-(aSubsetOf0(858 ^ [_168973, _168975], _168975))]], isFinite0(_168975), sdtlseqdt0(_168973, sbrdtbr0(_168975))], (1069 ^ _143105) ^ [_175951] : [aElementOf0(_175951, xS), -(aElementOf0(_175951, szNzAzT0))], (148 ^ _143105) ^ [_147963, _147965] : [_147965 = _147963, -(szmzazxdt0(_147965) = szmzazxdt0(_147963))], (314 ^ _143105) ^ [_152953, _152955] : [aSet0(_152955), aSet0(_152953), -(_152955 = _152953), aSubsetOf0(_152955, _152953), aSubsetOf0(_152953, _152955)], (231 ^ _143105) ^ [_150451] : [aSet0(_150451), isCountable0(_150451), true___, -(true___)], (530 ^ _143105) ^ [_159806] : [aElement0(_159806), 533 ^ _143105 : [(534 ^ _143105) ^ [_159943] : [-(isCountable0(sdtmndt0(_159943, _159806))), aSet0(_159943), isCountable0(_159943)]]], (1021 ^ _143105) ^ [_174602, _174604] : [aElementOf0(_174604, szNzAzT0), aElementOf0(_174602, szNzAzT0), 1028 ^ _143105 : [(1029 ^ _143105) ^ [] : [aElementOf0(_174604, slbdtrb0(szszuzczcdt0(_174602))), -(aElementOf0(_174604, slbdtrb0(_174602))), -(_174604 = _174602)], (1039 ^ _143105) ^ [] : [1040 ^ _143105 : [(1043 ^ _143105) ^ [] : [_174604 = _174602], (1041 ^ _143105) ^ [] : [aElementOf0(_174604, slbdtrb0(_174602))]], -(aElementOf0(_174604, slbdtrb0(szszuzczcdt0(_174602))))]]], (934 ^ _143105) ^ [_171904, _171906] : [-(szmzizndt0(_171906) = szmzizndt0(_171904)), aElementOf0(szmzizndt0(_171906), _171904), aElementOf0(szmzizndt0(_171904), _171906), aSubsetOf0(_171906, szNzAzT0), aSubsetOf0(_171904, szNzAzT0), -(_171906 = slcrc0), -(_171904 = slcrc0)], (64 ^ _143105) ^ [_145182, _145184] : [-(aSet0(_145182)), _145184 = _145182, aSet0(_145184)], (44 ^ _143105) ^ [_144592, _144594] : [-(aElement0(_144592)), _144594 = _144592, aElement0(_144594)], (643 ^ _143105) ^ [_163190] : [aElementOf0(_163190, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_163190), sz00)], (4 ^ _143105) ^ [_143336, _143338] : [_143338 = _143336, -(_143336 = _143338)], (544 ^ _143105) ^ [_160235] : [aElement0(_160235), 547 ^ _143105 : [(548 ^ _143105) ^ [_160372] : [-(isFinite0(sdtpldt0(_160372, _160235))), aSet0(_160372), isFinite0(_160372)]]], (576 ^ _143105) ^ [] : [-(aElementOf0(sz00, szNzAzT0))], (675 ^ _143105) ^ [_164142] : [aElementOf0(_164142, szNzAzT0), -(sdtlseqdt0(_164142, _164142))], (815 ^ _143105) ^ [_168068] : [aSet0(_168068), 818 ^ _143105 : [(819 ^ _143105) ^ [_168213] : [-(szszuzczcdt0(sbrdtbr0(sdtmndt0(_168068, _168213))) = sbrdtbr0(_168068)), isFinite0(_168068), aElementOf0(_168213, _168068)]]], (332 ^ _143105) ^ [_153442, _153444, _153446] : [aSet0(_153446), aSet0(_153444), aSet0(_153442), -(aSubsetOf0(_153446, _153442)), aSubsetOf0(_153446, _153444), aSubsetOf0(_153444, _153442)], (572 ^ _143105) ^ [] : [-(aSet0(szNzAzT0))], (166 ^ _143105) ^ [_148609] : [aSet0(_148609), true___, -(true___)], (1075 ^ _143105) ^ [] : [-(aSubsetOf0(xS, szNzAzT0))], (721 ^ _143105) ^ [_165431, _165433] : [aElementOf0(_165433, szNzAzT0), aElementOf0(_165431, szNzAzT0), -(sdtlseqdt0(_165433, _165431)), -(sdtlseqdt0(szszuzczcdt0(_165431), _165433))], (753 ^ _143105) ^ [_166276] : [aElementOf0(_166276, szNzAzT0), -(iLess0(_166276, szszuzczcdt0(_166276)))], (864 ^ _143105) ^ [_169589] : [aSubsetOf0(_169589, szNzAzT0), -(_169589 = slcrc0), 871 ^ _143105 : [(884 ^ _143105) ^ [_170252] : [-(_170252 = szmzizndt0(_169589)), aElementOf0(_170252, _169589), 890 ^ _143105 : [(893 ^ _143105) ^ [] : [sdtlseqdt0(_170252, 889 ^ [_169589, _170252])], (891 ^ _143105) ^ [] : [-(aElementOf0(889 ^ [_169589, _170252], _169589))]]], (872 ^ _143105) ^ [_169858] : [_169858 = szmzizndt0(_169589), 875 ^ _143105 : [(878 ^ _143105) ^ [_170073] : [aElementOf0(_170073, _169589), -(sdtlseqdt0(_169858, _170073))], (876 ^ _143105) ^ [] : [-(aElementOf0(_169858, _169589))]]]]], (186 ^ _143105) ^ [_149119] : [aSet0(_149119), 189 ^ _143105 : [(190 ^ _143105) ^ [_149249] : [aElementOf0(_149249, _149119), -(aElement0(_149249))]]], (649 ^ _143105) ^ [_163399, _163401] : [aElementOf0(_163401, szNzAzT0), aElementOf0(_163399, szNzAzT0), 656 ^ _143105 : [(663 ^ _143105) ^ [] : [sdtlseqdt0(szszuzczcdt0(_163401), szszuzczcdt0(_163399)), -(sdtlseqdt0(_163401, _163399))], (657 ^ _143105) ^ [] : [sdtlseqdt0(_163401, _163399), -(sdtlseqdt0(szszuzczcdt0(_163401), szszuzczcdt0(_163399)))]]], (423 ^ _143105) ^ [_156326, _156328] : [aSet0(_156328), aElement0(_156326), 430 ^ _143105 : [(431 ^ _143105) ^ [_156609] : [_156609 = sdtmndt0(_156328, _156326), 434 ^ _143105 : [(447 ^ _143105) ^ [_157210] : [-(aElementOf0(_157210, _156609)), aElement0(_157210), aElementOf0(_157210, _156328), -(_157210 = _156326)], (437 ^ _143105) ^ [_156874] : [aElementOf0(_156874, _156609), 440 ^ _143105 : [(445 ^ _143105) ^ [] : [_156874 = _156326], (443 ^ _143105) ^ [] : [-(aElementOf0(_156874, _156328))], (441 ^ _143105) ^ [] : [-(aElement0(_156874))]]], (435 ^ _143105) ^ [] : [-(aSet0(_156609))]]], (461 ^ _143105) ^ [_157594] : [-(_157594 = sdtmndt0(_156328, _156326)), aSet0(_157594), 481 ^ _143105 : [(484 ^ _143105) ^ [] : [-(aElementOf0(466 ^ [_156326, _156328, _157594], _156328))], (486 ^ _143105) ^ [] : [466 ^ [_156326, _156328, _157594] = _156326], (488 ^ _143105) ^ [] : [aElementOf0(466 ^ [_156326, _156328, _157594], _157594)], (482 ^ _143105) ^ [] : [-(aElement0(466 ^ [_156326, _156328, _157594]))]], 469 ^ _143105 : [(472 ^ _143105) ^ [] : [aElement0(466 ^ [_156326, _156328, _157594]), aElementOf0(466 ^ [_156326, _156328, _157594], _156328), -(466 ^ [_156326, _156328, _157594] = _156326)], (470 ^ _143105) ^ [] : [-(aElementOf0(466 ^ [_156326, _156328, _157594], _157594))]]]]], (492 ^ _143105) ^ [_158624] : [aSet0(_158624), 495 ^ _143105 : [(496 ^ _143105) ^ [_158761] : [aElementOf0(_158761, _158624), -(sdtpldt0(sdtmndt0(_158624, _158761), _158761) = _158624)]]], (897 ^ _143105) ^ [_170697] : [aSubsetOf0(_170697, szNzAzT0), isFinite0(_170697), -(_170697 = slcrc0), 908 ^ _143105 : [(921 ^ _143105) ^ [_171443] : [-(_171443 = szmzazxdt0(_170697)), aElementOf0(_171443, _170697), 927 ^ _143105 : [(930 ^ _143105) ^ [] : [sdtlseqdt0(926 ^ [_170697, _171443], _171443)], (928 ^ _143105) ^ [] : [-(aElementOf0(926 ^ [_170697, _171443], _170697))]]], (909 ^ _143105) ^ [_171049] : [_171049 = szmzazxdt0(_170697), 912 ^ _143105 : [(915 ^ _143105) ^ [_171264] : [aElementOf0(_171264, _170697), -(sdtlseqdt0(_171264, _171049))], (913 ^ _143105) ^ [] : [-(aElementOf0(_171049, _170697))]]]]], (265 ^ _143105) ^ [_151334] : [aSet0(_151334), 268 ^ _143105 : [(281 ^ _143105) ^ [_151898] : [-(aSubsetOf0(_151898, _151334)), aSet0(_151898), 287 ^ _143105 : [(290 ^ _143105) ^ [] : [aElementOf0(286 ^ [_151334, _151898], _151334)], (288 ^ _143105) ^ [] : [-(aElementOf0(286 ^ [_151334, _151898], _151898))]]], (269 ^ _143105) ^ [_151510] : [aSubsetOf0(_151510, _151334), 272 ^ _143105 : [(275 ^ _143105) ^ [_151719] : [aElementOf0(_151719, _151510), -(aElementOf0(_151719, _151334))], (273 ^ _143105) ^ [] : [-(aSet0(_151510))]]]]], (1013 ^ _143105) ^ [_174343] : [aElementOf0(_174343, szNzAzT0), -(isFinite0(slbdtrb0(_174343)))], (1077 ^ _143105) ^ [] : [-(isFinite0(xS))], (116 ^ _143105) ^ [_146837, _146839, _146841, _146843] : [-(sdtpldt0(_146843, _146839) = sdtpldt0(_146841, _146837)), _146843 = _146841, _146839 = _146837], (586 ^ _143105) ^ [_161540, _161542] : [aElementOf0(_161542, szNzAzT0), aElementOf0(_161540, szNzAzT0), szszuzczcdt0(_161542) = szszuzczcdt0(_161540), -(_161542 = _161540)], (669 ^ _143105) ^ [_163948] : [aElementOf0(_163948, szNzAzT0), -(sdtlseqdt0(_163948, szszuzczcdt0(_163948)))], (797 ^ _143105) ^ [_167525] : [aSet0(_167525), isFinite0(_167525), 804 ^ _143105 : [(805 ^ _143105) ^ [_167755] : [aElement0(_167755), -(aElementOf0(_167755, _167525)), -(sbrdtbr0(sdtpldt0(_167525, _167755)) = szszuzczcdt0(sbrdtbr0(_167525)))]]], (218 ^ _143105) ^ [_150069] : [-(_150069 = slcrc0), aSet0(_150069), -(aElementOf0(223 ^ [_150069], _150069))], (735 ^ _143105) ^ [_165826, _165828] : [aElementOf0(_165828, szNzAzT0), aElementOf0(_165826, szNzAzT0), iLess0(_165828, _165826), true___, -(true___)], (245 ^ _143105) ^ [_150792] : [isFinite0(_150792), aSet0(_150792), isCountable0(_150792)]], input).
% 58.42/57.15 ncf('1',plain,[aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], szNzAzT0), 1146 : -(aElementOf0(1144 ^ [1144 ^ [szszuzczcdt0(szmzazxdt0(xS))]], xS))],start(1121 ^ 0,bind([[_177833], [1144 ^ [szszuzczcdt0(szmzazxdt0(xS))]]]))).
% 58.42/57.15 ncf('1.1',plain,[-(aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], szNzAzT0)), 1127 : aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))), 1127 : aElementOf0(szszuzczcdt0(szmzazxdt0(xS)), szNzAzT0)],extension(1121 ^ 1,bind([[_177833, _178124], [szszuzczcdt0(szmzazxdt0(xS)), 1144 ^ [szszuzczcdt0(szmzazxdt0(xS))]]]))).
% 58.42/57.15 ncf('1.1.1',plain,[-(aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))), 1113 : aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], xS), 1083 : -(xS = slcrc0)],extension(1079 ^ 4,bind([[_177216], [1144 ^ [szszuzczcdt0(szmzazxdt0(xS))]]]))).
% 58.42/57.15 ncf('1.1.1.1',plain,[-(aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], xS))],extension(1146 ^ 7)).
% 58.42/57.15 ncf('1.1.1.2',plain,[xS = slcrc0, 216 : aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], xS)],extension(210 ^ 7,bind([[_149820, _150001], [xS, 1144 ^ [szszuzczcdt0(szmzazxdt0(xS))]]]))).
% 58.42/57.15 ncf('1.1.1.2.1',plain,[-(aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], xS))],extension(1146 ^ 10)).
% 58.42/57.15 ncf('1.1.2',plain,[-(aElementOf0(szszuzczcdt0(szmzazxdt0(xS)), szNzAzT0)), aElementOf0(szmzazxdt0(xS), szNzAzT0)],extension(578 ^ 2,bind([[_161254], [szmzazxdt0(xS)]]))).
% 58.42/57.15 ncf('1.1.2.1',plain,[-(aElementOf0(szmzazxdt0(xS), szNzAzT0)), 1095 : aElementOf0(szmzazxdt0(xS), slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))), 1081 : aElementOf0(1144 ^ [sz00], xS)],extension(1079 ^ 3,bind([[_176702, _176249], [szmzazxdt0(xS), 1144 ^ [sz00]]]))).
% 58.42/57.15 ncf('1.1.2.1.1',plain,[-(aElementOf0(szmzazxdt0(xS), slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))), aElementOf0(szmzazxdt0(xS), xS)],extension(1113 ^ 6,bind([[_177216], [szmzazxdt0(xS)]]))).
% 58.42/57.15 ncf('1.1.2.1.1.1',plain,[-(aElementOf0(szmzazxdt0(xS), xS))],extension(1085 ^ 7)).
% 58.42/57.15 ncf('1.1.2.1.2',plain,[-(aElementOf0(1144 ^ [sz00], xS)), aElementOf0(sz00, szNzAzT0)],extension(1121 ^ 6,bind([[_177833], [sz00]]))).
% 58.42/57.15 ncf('1.1.2.1.2.1',plain,[-(aElementOf0(sz00, szNzAzT0))],extension(576 ^ 7)).
% 58.42/57.15 ncf('1.2',plain,[aElementOf0(1144 ^ [1144 ^ [szszuzczcdt0(szmzazxdt0(xS))]], xS), 1103 : -(aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))), 1103 : aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], szNzAzT0), 1103 : sdtlseqdt0(szszuzczcdt0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))]), szszuzczcdt0(szmzazxdt0(xS)))],extension(1079 ^ 3,bind([[_176249, _176935], [1144 ^ [1144 ^ [szszuzczcdt0(szmzazxdt0(xS))]], 1144 ^ [szszuzczcdt0(szmzazxdt0(xS))]]]))).
% 58.42/57.15 ncf('1.2.1',plain,[aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))), aElementOf0(szszuzczcdt0(szmzazxdt0(xS)), szNzAzT0)],extension(1121 ^ 6,bind([[_177833], [szszuzczcdt0(szmzazxdt0(xS))]]))).
% 58.42/57.15 ncf('1.2.1.1',plain,[-(aElementOf0(szszuzczcdt0(szmzazxdt0(xS)), szNzAzT0)), aElementOf0(szmzazxdt0(xS), szNzAzT0)],extension(578 ^ 7,bind([[_161254], [szmzazxdt0(xS)]]))).
% 58.42/57.15 ncf('1.2.1.1.1',plain,[-(aElementOf0(szmzazxdt0(xS), szNzAzT0)), aElementOf0(szmzazxdt0(xS), xS)],extension(1069 ^ 8,bind([[_175951], [szmzazxdt0(xS)]]))).
% 58.42/57.15 ncf('1.2.1.1.1.1',plain,[-(aElementOf0(szmzazxdt0(xS), xS))],extension(1085 ^ 9)).
% 58.42/57.15 ncf('1.2.2',plain,[-(aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], szNzAzT0))],lemmata('x')).
% 58.42/57.15 ncf('1.2.3',plain,[-(sdtlseqdt0(szszuzczcdt0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))]), szszuzczcdt0(szmzazxdt0(xS)))), 1127 : aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))), 1127 : aElementOf0(szszuzczcdt0(szmzazxdt0(xS)), szNzAzT0)],extension(1121 ^ 6,bind([[_177833, _178124], [szszuzczcdt0(szmzazxdt0(xS)), 1144 ^ [szszuzczcdt0(szmzazxdt0(xS))]]]))).
% 58.42/57.15 ncf('1.2.3.1',plain,[-(aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))), aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], xS)],extension(1113 ^ 9,bind([[_177216], [1144 ^ [szszuzczcdt0(szmzazxdt0(xS))]]]))).
% 58.42/57.15 ncf('1.2.3.1.1',plain,[-(aElementOf0(1144 ^ [szszuzczcdt0(szmzazxdt0(xS))], xS))],extension(1146 ^ 10)).
% 58.42/57.15 ncf('1.2.3.2',plain,[-(aElementOf0(szszuzczcdt0(szmzazxdt0(xS)), szNzAzT0)), aElementOf0(szmzazxdt0(xS), szNzAzT0)],extension(578 ^ 7,bind([[_161254], [szmzazxdt0(xS)]]))).
% 58.42/57.15 ncf('1.2.3.2.1',plain,[-(aElementOf0(szmzazxdt0(xS), szNzAzT0)), aElementOf0(szmzazxdt0(xS), xS)],extension(1069 ^ 8,bind([[_175951], [szmzazxdt0(xS)]]))).
% 58.42/57.15 ncf('1.2.3.2.1.1',plain,[-(aElementOf0(szmzazxdt0(xS), xS))],extension(1085 ^ 9)).
% 58.42/57.15 %-----------------------------------------------------
% 58.42/57.15 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------