TSTP Solution File: NUM555+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM555+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n026.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 11:44:59 EDT 2023
% Result : Theorem 0.52s 1.38s
% Output : Proof 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM555+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n026.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 17:15:05 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.52/1.38
% 0.52/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.52/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/1.38 %-----------------------------------------------------
% 0.52/1.38 ncf(matrix, plain, [(1231 ^ _136372) ^ [] : [-(aElementOf0(xx, sdtmndt0(xQ, xy)))], (116 ^ _136372) ^ [_140096, _140098] : [_140098 = _140096, -(szmzazxdt0(_140098) = szmzazxdt0(_140096))], (122 ^ _136372) ^ [_140314, _140316] : [_140316 = _140314, -(szmzizndt0(_140316) = szmzizndt0(_140314))], (128 ^ _136372) ^ [_140532, _140534] : [_140534 = _140532, -(szszuzczcdt0(_140534) = szszuzczcdt0(_140532))], (134 ^ _136372) ^ [_140750, _140752] : [_140752 = _140750, -(slbdtrb0(_140752) = slbdtrb0(_140750))], (140 ^ _136372) ^ [_140996, _140998, _141000, _141002] : [-(slbdtsldtrb0(_141002, _140998) = slbdtsldtrb0(_141000, _140996)), _141002 = _141000, _140998 = _140996], (150 ^ _136372) ^ [_141327, _141329] : [_141329 = _141327, -(sbrdtbr0(_141329) = sbrdtbr0(_141327))], (156 ^ _136372) ^ [_141573, _141575, _141577, _141579] : [-(sdtpldt0(_141579, _141575) = sdtpldt0(_141577, _141573)), _141579 = _141577, _141575 = _141573], (166 ^ _136372) ^ [_141912, _141914, _141916, _141918] : [-(sdtmndt0(_141918, _141914) = sdtmndt0(_141916, _141912)), _141918 = _141916, _141914 = _141912], (2 ^ _136372) ^ [_136516] : [-(_136516 = _136516)], (4 ^ _136372) ^ [_136623, _136625] : [_136625 = _136623, -(_136623 = _136625)], (10 ^ _136372) ^ [_136827, _136829, _136831] : [-(_136831 = _136827), _136831 = _136829, _136829 = _136827], (20 ^ _136372) ^ [_137168, _137170, _137172, _137174] : [-(iLess0(_137172, _137168)), iLess0(_137174, _137170), _137174 = _137172, _137170 = _137168], (34 ^ _136372) ^ [_137612, _137614, _137616, _137618] : [-(sdtlseqdt0(_137616, _137612)), sdtlseqdt0(_137618, _137614), _137618 = _137616, _137614 = _137612], (48 ^ _136372) ^ [_138028, _138030] : [-(isCountable0(_138028)), _138030 = _138028, isCountable0(_138030)], (58 ^ _136372) ^ [_138351, _138353, _138355, _138357] : [-(aSubsetOf0(_138355, _138351)), aSubsetOf0(_138357, _138353), _138357 = _138355, _138353 = _138351], (72 ^ _136372) ^ [_138767, _138769] : [-(aSet0(_138767)), _138769 = _138767, aSet0(_138769)], (82 ^ _136372) ^ [_139062, _139064] : [-(isFinite0(_139062)), _139064 = _139062, isFinite0(_139064)], (92 ^ _136372) ^ [_139357, _139359] : [-(aElement0(_139357)), _139359 = _139357, aElement0(_139359)], (102 ^ _136372) ^ [_139660, _139662, _139664, _139666] : [-(aElementOf0(_139664, _139660)), aElementOf0(_139666, _139662), _139666 = _139664, _139662 = _139660], (176 ^ _136372) ^ [_142259] : [aSet0(_142259), true___, -(true___)], (186 ^ _136372) ^ [_142514] : [aElement0(_142514), true___, -(true___)], (196 ^ _136372) ^ [_142769] : [aSet0(_142769), 199 ^ _136372 : [(200 ^ _136372) ^ [_142899] : [aElementOf0(_142899, _142769), -(aElement0(_142899))]]], (206 ^ _136372) ^ [_143100] : [aSet0(_143100), isFinite0(_143100), true___, -(true___)], (220 ^ _136372) ^ [_143470] : [_143470 = slcrc0, 223 ^ _136372 : [(224 ^ _136372) ^ [] : [-(aSet0(_143470))], (226 ^ _136372) ^ [_143651] : [aElementOf0(_143651, _143470)]]], (228 ^ _136372) ^ [_143719] : [-(_143719 = slcrc0), aSet0(_143719), -(aElementOf0(233 ^ [_143719], _143719))], (239 ^ _136372) ^ [] : [-(isFinite0(slcrc0))], (241 ^ _136372) ^ [_144101] : [aSet0(_144101), isCountable0(_144101), true___, -(true___)], (255 ^ _136372) ^ [_144442] : [isFinite0(_144442), aSet0(_144442), isCountable0(_144442)], (265 ^ _136372) ^ [_144712] : [_144712 = slcrc0, aSet0(_144712), isCountable0(_144712)], (275 ^ _136372) ^ [_144984] : [aSet0(_144984), 278 ^ _136372 : [(279 ^ _136372) ^ [_145160] : [aSubsetOf0(_145160, _144984), 282 ^ _136372 : [(283 ^ _136372) ^ [] : [-(aSet0(_145160))], (285 ^ _136372) ^ [_145369] : [aElementOf0(_145369, _145160), -(aElementOf0(_145369, _144984))]]], (291 ^ _136372) ^ [_145548] : [-(aSubsetOf0(_145548, _144984)), aSet0(_145548), 297 ^ _136372 : [(298 ^ _136372) ^ [] : [-(aElementOf0(296 ^ [_144984, _145548], _145548))], (300 ^ _136372) ^ [] : [aElementOf0(296 ^ [_144984, _145548], _144984)]]]]], (304 ^ _136372) ^ [_145985] : [aSet0(_145985), isFinite0(_145985), 311 ^ _136372 : [(312 ^ _136372) ^ [_146198] : [aSubsetOf0(_146198, _145985), -(isFinite0(_146198))]]], (318 ^ _136372) ^ [_146401] : [aSet0(_146401), -(aSubsetOf0(_146401, _146401))], (324 ^ _136372) ^ [_146603, _146605] : [aSet0(_146605), aSet0(_146603), -(_146605 = _146603), aSubsetOf0(_146605, _146603), aSubsetOf0(_146603, _146605)], (342 ^ _136372) ^ [_147092, _147094, _147096] : [aSet0(_147096), aSet0(_147094), aSet0(_147092), -(aSubsetOf0(_147096, _147092)), aSubsetOf0(_147096, _147094), aSubsetOf0(_147094, _147092)], (364 ^ _136372) ^ [_147678, _147680] : [aSet0(_147680), aElement0(_147678), 371 ^ _136372 : [(402 ^ _136372) ^ [_148939] : [-(_148939 = sdtpldt0(_147680, _147678)), aSet0(_148939), 410 ^ _136372 : [(411 ^ _136372) ^ [] : [-(aElementOf0(407 ^ [_147678, _147680, _148939], _148939))], (413 ^ _136372) ^ [] : [aElement0(407 ^ [_147678, _147680, _148939]), 416 ^ _136372 : [(417 ^ _136372) ^ [] : [aElementOf0(407 ^ [_147678, _147680, _148939], _147680)], (419 ^ _136372) ^ [] : [407 ^ [_147678, _147680, _148939] = _147678]]]], 420 ^ _136372 : [(429 ^ _136372) ^ [] : [aElementOf0(407 ^ [_147678, _147680, _148939], _148939)], (421 ^ _136372) ^ [] : [-(aElement0(407 ^ [_147678, _147680, _148939]))], (423 ^ _136372) ^ [] : [-(aElementOf0(407 ^ [_147678, _147680, _148939], _147680)), -(407 ^ [_147678, _147680, _148939] = _147678)]]], (372 ^ _136372) ^ [_147959] : [_147959 = sdtpldt0(_147680, _147678), 375 ^ _136372 : [(376 ^ _136372) ^ [] : [-(aSet0(_147959))], (378 ^ _136372) ^ [_148222] : [aElementOf0(_148222, _147959), 381 ^ _136372 : [(382 ^ _136372) ^ [] : [-(aElement0(_148222))], (384 ^ _136372) ^ [] : [-(aElementOf0(_148222, _147680)), -(_148222 = _147678)]]], (390 ^ _136372) ^ [_148577] : [-(aElementOf0(_148577, _147959)), aElement0(_148577), 395 ^ _136372 : [(396 ^ _136372) ^ [] : [aElementOf0(_148577, _147680)], (398 ^ _136372) ^ [] : [_148577 = _147678]]]]]]], (433 ^ _136372) ^ [_149976, _149978] : [aSet0(_149978), aElement0(_149976), 440 ^ _136372 : [(471 ^ _136372) ^ [_151244] : [-(_151244 = sdtmndt0(_149978, _149976)), aSet0(_151244), 491 ^ _136372 : [(492 ^ _136372) ^ [] : [-(aElement0(476 ^ [_149976, _149978, _151244]))], (494 ^ _136372) ^ [] : [-(aElementOf0(476 ^ [_149976, _149978, _151244], _149978))], (496 ^ _136372) ^ [] : [476 ^ [_149976, _149978, _151244] = _149976], (498 ^ _136372) ^ [] : [aElementOf0(476 ^ [_149976, _149978, _151244], _151244)]], 479 ^ _136372 : [(480 ^ _136372) ^ [] : [-(aElementOf0(476 ^ [_149976, _149978, _151244], _151244))], (482 ^ _136372) ^ [] : [aElement0(476 ^ [_149976, _149978, _151244]), aElementOf0(476 ^ [_149976, _149978, _151244], _149978), -(476 ^ [_149976, _149978, _151244] = _149976)]]], (441 ^ _136372) ^ [_150259] : [_150259 = sdtmndt0(_149978, _149976), 444 ^ _136372 : [(445 ^ _136372) ^ [] : [-(aSet0(_150259))], (447 ^ _136372) ^ [_150524] : [aElementOf0(_150524, _150259), 450 ^ _136372 : [(451 ^ _136372) ^ [] : [-(aElement0(_150524))], (453 ^ _136372) ^ [] : [-(aElementOf0(_150524, _149978))], (455 ^ _136372) ^ [] : [_150524 = _149976]]], (457 ^ _136372) ^ [_150860] : [-(aElementOf0(_150860, _150259)), aElement0(_150860), aElementOf0(_150860, _149978), -(_150860 = _149976)]]]]], (502 ^ _136372) ^ [_152274] : [aSet0(_152274), 505 ^ _136372 : [(506 ^ _136372) ^ [_152411] : [aElementOf0(_152411, _152274), -(sdtpldt0(sdtmndt0(_152274, _152411), _152411) = _152274)]]], (512 ^ _136372) ^ [_152640, _152642] : [aElement0(_152642), aSet0(_152640), -(aElementOf0(_152642, _152640)), -(sdtmndt0(sdtpldt0(_152640, _152642), _152642) = _152640)], (526 ^ _136372) ^ [_153027] : [aElement0(_153027), 529 ^ _136372 : [(530 ^ _136372) ^ [_153164] : [-(isCountable0(sdtpldt0(_153164, _153027))), aSet0(_153164), isCountable0(_153164)]]], (540 ^ _136372) ^ [_153456] : [aElement0(_153456), 543 ^ _136372 : [(544 ^ _136372) ^ [_153593] : [-(isCountable0(sdtmndt0(_153593, _153456))), aSet0(_153593), isCountable0(_153593)]]], (554 ^ _136372) ^ [_153885] : [aElement0(_153885), 557 ^ _136372 : [(558 ^ _136372) ^ [_154022] : [-(isFinite0(sdtpldt0(_154022, _153885))), aSet0(_154022), isFinite0(_154022)]]], (568 ^ _136372) ^ [_154314] : [aElement0(_154314), 571 ^ _136372 : [(572 ^ _136372) ^ [_154451] : [-(isFinite0(sdtmndt0(_154451, _154314))), aSet0(_154451), isFinite0(_154451)]]], (582 ^ _136372) ^ [] : [-(aSet0(szNzAzT0))], (584 ^ _136372) ^ [] : [-(isCountable0(szNzAzT0))], (586 ^ _136372) ^ [] : [-(aElementOf0(sz00, szNzAzT0))], (588 ^ _136372) ^ [_154904] : [aElementOf0(_154904, szNzAzT0), 591 ^ _136372 : [(592 ^ _136372) ^ [] : [-(aElementOf0(szszuzczcdt0(_154904), szNzAzT0))], (594 ^ _136372) ^ [] : [szszuzczcdt0(_154904) = sz00]]], (596 ^ _136372) ^ [_155190, _155192] : [aElementOf0(_155192, szNzAzT0), aElementOf0(_155190, szNzAzT0), szszuzczcdt0(_155192) = szszuzczcdt0(_155190), -(_155192 = _155190)], (610 ^ _136372) ^ [_155574] : [aElementOf0(_155574, szNzAzT0), -(_155574 = sz00), 618 ^ _136372 : [(619 ^ _136372) ^ [] : [-(aElementOf0(617 ^ [_155574], szNzAzT0))], (621 ^ _136372) ^ [] : [-(_155574 = szszuzczcdt0(617 ^ [_155574]))]]], (623 ^ _136372) ^ [_155991] : [aElementOf0(_155991, szNzAzT0), _155991 = szszuzczcdt0(_155991)], (629 ^ _136372) ^ [_156200, _156202] : [aElementOf0(_156202, szNzAzT0), aElementOf0(_156200, szNzAzT0), sdtlseqdt0(_156202, _156200), true___, -(true___)], (647 ^ _136372) ^ [_156650] : [aElementOf0(_156650, szNzAzT0), -(sdtlseqdt0(sz00, _156650))], (653 ^ _136372) ^ [_156840] : [aElementOf0(_156840, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_156840), sz00)], (659 ^ _136372) ^ [_157049, _157051] : [aElementOf0(_157051, szNzAzT0), aElementOf0(_157049, szNzAzT0), 666 ^ _136372 : [(667 ^ _136372) ^ [] : [sdtlseqdt0(_157051, _157049), -(sdtlseqdt0(szszuzczcdt0(_157051), szszuzczcdt0(_157049)))], (673 ^ _136372) ^ [] : [sdtlseqdt0(szszuzczcdt0(_157051), szszuzczcdt0(_157049)), -(sdtlseqdt0(_157051, _157049))]]], (679 ^ _136372) ^ [_157598] : [aElementOf0(_157598, szNzAzT0), -(sdtlseqdt0(_157598, szszuzczcdt0(_157598)))], (685 ^ _136372) ^ [_157792] : [aElementOf0(_157792, szNzAzT0), -(sdtlseqdt0(_157792, _157792))], (691 ^ _136372) ^ [_157996, _157998] : [aElementOf0(_157998, szNzAzT0), aElementOf0(_157996, szNzAzT0), -(_157998 = _157996), sdtlseqdt0(_157998, _157996), sdtlseqdt0(_157996, _157998)], (709 ^ _136372) ^ [_158489, _158491, _158493] : [aElementOf0(_158493, szNzAzT0), aElementOf0(_158491, szNzAzT0), aElementOf0(_158489, szNzAzT0), -(sdtlseqdt0(_158493, _158489)), sdtlseqdt0(_158493, _158491), sdtlseqdt0(_158491, _158489)], (731 ^ _136372) ^ [_159081, _159083] : [aElementOf0(_159083, szNzAzT0), aElementOf0(_159081, szNzAzT0), -(sdtlseqdt0(_159083, _159081)), -(sdtlseqdt0(szszuzczcdt0(_159081), _159083))], (745 ^ _136372) ^ [_159476, _159478] : [aElementOf0(_159478, szNzAzT0), aElementOf0(_159476, szNzAzT0), iLess0(_159478, _159476), true___, -(true___)], (763 ^ _136372) ^ [_159926] : [aElementOf0(_159926, szNzAzT0), -(iLess0(_159926, szszuzczcdt0(_159926)))], (769 ^ _136372) ^ [_160120] : [aSet0(_160120), -(aElement0(sbrdtbr0(_160120)))], (775 ^ _136372) ^ [_160310] : [aSet0(_160310), 778 ^ _136372 : [(779 ^ _136372) ^ [] : [aElementOf0(sbrdtbr0(_160310), szNzAzT0), -(isFinite0(_160310))], (785 ^ _136372) ^ [] : [isFinite0(_160310), -(aElementOf0(sbrdtbr0(_160310), szNzAzT0))]]], (791 ^ _136372) ^ [_160741] : [aSet0(_160741), 794 ^ _136372 : [(795 ^ _136372) ^ [] : [sbrdtbr0(_160741) = sz00, -(_160741 = slcrc0)], (801 ^ _136372) ^ [] : [_160741 = slcrc0, -(sbrdtbr0(_160741) = sz00)]]], (807 ^ _136372) ^ [_161175] : [aSet0(_161175), isFinite0(_161175), 814 ^ _136372 : [(815 ^ _136372) ^ [_161405] : [aElement0(_161405), -(aElementOf0(_161405, _161175)), -(sbrdtbr0(sdtpldt0(_161175, _161405)) = szszuzczcdt0(sbrdtbr0(_161175)))]]], (825 ^ _136372) ^ [_161718] : [aSet0(_161718), 828 ^ _136372 : [(829 ^ _136372) ^ [_161863] : [-(szszuzczcdt0(sbrdtbr0(sdtmndt0(_161718, _161863))) = sbrdtbr0(_161718)), isFinite0(_161718), aElementOf0(_161863, _161718)]]], (839 ^ _136372) ^ [_162171] : [aSet0(_162171), 842 ^ _136372 : [(843 ^ _136372) ^ [_162311] : [-(sdtlseqdt0(sbrdtbr0(_162311), sbrdtbr0(_162171))), isFinite0(_162171), aSubsetOf0(_162311, _162171)]]], (853 ^ _136372) ^ [_162623, _162625] : [aSet0(_162625), aElementOf0(_162623, szNzAzT0), 869 ^ _136372 : [(870 ^ _136372) ^ [] : [-(aSubsetOf0(868 ^ [_162623, _162625], _162625))], (872 ^ _136372) ^ [] : [-(sbrdtbr0(868 ^ [_162623, _162625]) = _162623)]], isFinite0(_162625), sdtlseqdt0(_162623, sbrdtbr0(_162625))], (874 ^ _136372) ^ [_163239] : [aSubsetOf0(_163239, szNzAzT0), -(_163239 = slcrc0), 881 ^ _136372 : [(882 ^ _136372) ^ [_163508] : [_163508 = szmzizndt0(_163239), 885 ^ _136372 : [(886 ^ _136372) ^ [] : [-(aElementOf0(_163508, _163239))], (888 ^ _136372) ^ [_163723] : [aElementOf0(_163723, _163239), -(sdtlseqdt0(_163508, _163723))]]], (894 ^ _136372) ^ [_163902] : [-(_163902 = szmzizndt0(_163239)), aElementOf0(_163902, _163239), 900 ^ _136372 : [(901 ^ _136372) ^ [] : [-(aElementOf0(899 ^ [_163239, _163902], _163239))], (903 ^ _136372) ^ [] : [sdtlseqdt0(_163902, 899 ^ [_163239, _163902])]]]]], (907 ^ _136372) ^ [_164347] : [aSubsetOf0(_164347, szNzAzT0), isFinite0(_164347), -(_164347 = slcrc0), 918 ^ _136372 : [(919 ^ _136372) ^ [_164699] : [_164699 = szmzazxdt0(_164347), 922 ^ _136372 : [(923 ^ _136372) ^ [] : [-(aElementOf0(_164699, _164347))], (925 ^ _136372) ^ [_164914] : [aElementOf0(_164914, _164347), -(sdtlseqdt0(_164914, _164699))]]], (931 ^ _136372) ^ [_165093] : [-(_165093 = szmzazxdt0(_164347)), aElementOf0(_165093, _164347), 937 ^ _136372 : [(938 ^ _136372) ^ [] : [-(aElementOf0(936 ^ [_164347, _165093], _164347))], (940 ^ _136372) ^ [] : [sdtlseqdt0(936 ^ [_164347, _165093], _165093)]]]]], (944 ^ _136372) ^ [_165554, _165556] : [-(szmzizndt0(_165556) = szmzizndt0(_165554)), aElementOf0(szmzizndt0(_165556), _165554), aElementOf0(szmzizndt0(_165554), _165556), aSubsetOf0(_165556, szNzAzT0), aSubsetOf0(_165554, szNzAzT0), -(_165556 = slcrc0), -(_165554 = slcrc0)], (970 ^ _136372) ^ [_166221] : [aElementOf0(_166221, szNzAzT0), 973 ^ _136372 : [(998 ^ _136372) ^ [_167190] : [-(_167190 = slbdtrb0(_166221)), aSet0(_167190), 1014 ^ _136372 : [(1015 ^ _136372) ^ [] : [-(aElementOf0(1003 ^ [_166221, _167190], szNzAzT0))], (1017 ^ _136372) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(1003 ^ [_166221, _167190]), _166221))], (1019 ^ _136372) ^ [] : [aElementOf0(1003 ^ [_166221, _167190], _167190)]], 1006 ^ _136372 : [(1007 ^ _136372) ^ [] : [-(aElementOf0(1003 ^ [_166221, _167190], _167190))], (1009 ^ _136372) ^ [] : [aElementOf0(1003 ^ [_166221, _167190], szNzAzT0), sdtlseqdt0(szszuzczcdt0(1003 ^ [_166221, _167190]), _166221)]]], (974 ^ _136372) ^ [_166409] : [_166409 = slbdtrb0(_166221), 977 ^ _136372 : [(978 ^ _136372) ^ [] : [-(aSet0(_166409))], (980 ^ _136372) ^ [_166659] : [aElementOf0(_166659, _166409), 983 ^ _136372 : [(984 ^ _136372) ^ [] : [-(aElementOf0(_166659, szNzAzT0))], (986 ^ _136372) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_166659), _166221))]]], (988 ^ _136372) ^ [_166912] : [-(aElementOf0(_166912, _166409)), aElementOf0(_166912, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_166912), _166221)]]]]], (1023 ^ _136372) ^ [_167993] : [aElementOf0(_167993, szNzAzT0), -(isFinite0(slbdtrb0(_167993)))], (1029 ^ _136372) ^ [] : [-(slbdtrb0(sz00) = slcrc0)], (1031 ^ _136372) ^ [_168252, _168254] : [aElementOf0(_168254, szNzAzT0), aElementOf0(_168252, szNzAzT0), 1038 ^ _136372 : [(1049 ^ _136372) ^ [] : [1050 ^ _136372 : [(1051 ^ _136372) ^ [] : [aElementOf0(_168254, slbdtrb0(_168252))], (1053 ^ _136372) ^ [] : [_168254 = _168252]], -(aElementOf0(_168254, slbdtrb0(szszuzczcdt0(_168252))))], (1039 ^ _136372) ^ [] : [aElementOf0(_168254, slbdtrb0(szszuzczcdt0(_168252))), -(aElementOf0(_168254, slbdtrb0(_168252))), -(_168254 = _168252)]]], (1057 ^ _136372) ^ [_168979, _168981] : [aElementOf0(_168981, szNzAzT0), aElementOf0(_168979, szNzAzT0), 1064 ^ _136372 : [(1065 ^ _136372) ^ [] : [sdtlseqdt0(_168981, _168979), -(aSubsetOf0(slbdtrb0(_168981), slbdtrb0(_168979)))], (1071 ^ _136372) ^ [] : [aSubsetOf0(slbdtrb0(_168981), slbdtrb0(_168979)), -(sdtlseqdt0(_168981, _168979))]]], (1077 ^ _136372) ^ [_169528] : [1085 ^ _136372 : [(1086 ^ _136372) ^ [] : [-(aElementOf0(1084 ^ [_169528], szNzAzT0))], (1088 ^ _136372) ^ [] : [-(aSubsetOf0(_169528, slbdtrb0(1084 ^ [_169528])))]], aSubsetOf0(_169528, szNzAzT0), isFinite0(_169528)], (1090 ^ _136372) ^ [_169942] : [aElementOf0(_169942, szNzAzT0), -(sbrdtbr0(slbdtrb0(_169942)) = _169942)], (1096 ^ _136372) ^ [_170154, _170156] : [aSet0(_170156), aElementOf0(_170154, szNzAzT0), 1103 ^ _136372 : [(1128 ^ _136372) ^ [_171247] : [-(_171247 = slbdtsldtrb0(_170156, _170154)), aSet0(_171247), 1144 ^ _136372 : [(1145 ^ _136372) ^ [] : [-(aSubsetOf0(1133 ^ [_170154, _170156, _171247], _170156))], (1147 ^ _136372) ^ [] : [-(sbrdtbr0(1133 ^ [_170154, _170156, _171247]) = _170154)], (1149 ^ _136372) ^ [] : [aElementOf0(1133 ^ [_170154, _170156, _171247], _171247)]], 1136 ^ _136372 : [(1137 ^ _136372) ^ [] : [-(aElementOf0(1133 ^ [_170154, _170156, _171247], _171247))], (1139 ^ _136372) ^ [] : [aSubsetOf0(1133 ^ [_170154, _170156, _171247], _170156), sbrdtbr0(1133 ^ [_170154, _170156, _171247]) = _170154]]], (1104 ^ _136372) ^ [_170434] : [_170434 = slbdtsldtrb0(_170156, _170154), 1107 ^ _136372 : [(1108 ^ _136372) ^ [] : [-(aSet0(_170434))], (1110 ^ _136372) ^ [_170694] : [aElementOf0(_170694, _170434), 1113 ^ _136372 : [(1114 ^ _136372) ^ [] : [-(aSubsetOf0(_170694, _170156))], (1116 ^ _136372) ^ [] : [-(sbrdtbr0(_170694) = _170154)]]], (1118 ^ _136372) ^ [_170957] : [-(aElementOf0(_170957, _170434)), aSubsetOf0(_170957, _170156), sbrdtbr0(_170957) = _170154]]]]], (1153 ^ _136372) ^ [_172096] : [aSet0(_172096), isFinite0(_172096), 1160 ^ _136372 : [(1161 ^ _136372) ^ [_172312] : [aElementOf0(_172312, szNzAzT0), -(isFinite0(slbdtsldtrb0(_172096, _172312)))]]], (1167 ^ _136372) ^ [_172521] : [aSet0(_172521), -(isFinite0(_172521)), 1174 ^ _136372 : [(1175 ^ _136372) ^ [_172743] : [aElementOf0(_172743, szNzAzT0), slbdtsldtrb0(_172521, _172743) = slcrc0]]], (1199 ^ _136372) ^ [] : [-(aElementOf0(xk, szNzAzT0))], (1201 ^ _136372) ^ [] : [-(aSet0(xS))], (1203 ^ _136372) ^ [] : [-(aSet0(xT))], (1205 ^ _136372) ^ [] : [xk = sz00], (1207 ^ _136372) ^ [] : [-(aSubsetOf0(slbdtsldtrb0(xS, xk), slbdtsldtrb0(xT, xk)))], (1209 ^ _136372) ^ [] : [slbdtsldtrb0(xS, xk) = slcrc0], (1211 ^ _136372) ^ [] : [-(aElementOf0(xx, xS))], (1213 ^ _136372) ^ [] : [-(aElementOf0(xQ, slbdtsldtrb0(xS, xk)))], (1215 ^ _136372) ^ [] : [-(aSet0(xQ))], (1217 ^ _136372) ^ [] : [-(isFinite0(xQ))], (1219 ^ _136372) ^ [] : [-(sbrdtbr0(xQ) = xk)], (1221 ^ _136372) ^ [] : [-(aElement0(xy))], (1223 ^ _136372) ^ [] : [-(aElementOf0(xy, xQ))], (1225 ^ _136372) ^ [] : [aElementOf0(xx, xQ)], (1227 ^ _136372) ^ [] : [aElementOf0(xx, xQ)], (1229 ^ _136372) ^ [] : [-(xP = sdtpldt0(sdtmndt0(xQ, xy), xx))], (1181 ^ _136372) ^ [_172955] : [aSet0(_172955), isCountable0(_172955), 1188 ^ _136372 : [(1189 ^ _136372) ^ [_173179] : [-(isCountable0(slbdtsldtrb0(_172955, _173179))), aElementOf0(_173179, szNzAzT0), -(_173179 = sz00)]]]], input).
% 0.52/1.38 ncf('1',plain,[aElementOf0(xx, xQ)],start(1225 ^ 0)).
% 0.52/1.38 ncf('1.1',plain,[-(aElementOf0(xx, xQ)), 447 : aElementOf0(xx, sdtmndt0(xQ, xy)), 447 : sdtmndt0(xQ, xy) = sdtmndt0(xQ, xy), 441 : aSet0(xQ), 441 : aElement0(xy)],extension(433 ^ 1,bind([[_149976, _149978, _150259, _150524], [xy, xQ, sdtmndt0(xQ, xy), xx]]))).
% 0.52/1.38 ncf('1.1.1',plain,[-(aElementOf0(xx, sdtmndt0(xQ, xy)))],extension(1231 ^ 6)).
% 0.52/1.38 ncf('1.1.2',plain,[-(sdtmndt0(xQ, xy) = sdtmndt0(xQ, xy))],extension(2 ^ 4,bind([[_136516], [sdtmndt0(xQ, xy)]]))).
% 0.52/1.38 ncf('1.1.3',plain,[-(aSet0(xQ))],extension(1215 ^ 2)).
% 0.52/1.38 ncf('1.1.4',plain,[-(aElement0(xy)), 200 : aElementOf0(xy, xQ), 200 : aSet0(xQ)],extension(196 ^ 2,bind([[_142769, _142899], [xQ, xy]]))).
% 0.52/1.38 ncf('1.1.4.1',plain,[-(aElementOf0(xy, xQ))],extension(1223 ^ 5)).
% 0.52/1.38 ncf('1.1.4.2',plain,[-(aSet0(xQ))],lemmata('[1].x')).
% 0.52/1.38 %-----------------------------------------------------
% 0.52/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------