TSTP Solution File: NUM557+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM557+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n028.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 0.35s 1.37s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM557+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n028.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 17:43:48 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.35/1.37
% 0.35/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.37 %-----------------------------------------------------
% 0.35/1.37 ncf(matrix, plain, [(1462 ^ _163590) ^ [] : [aElementOf0(xP, slbdtsldtrb0(xS, xk))], (1451 ^ _163590) ^ [] : [1453 ^ _163590 : [(1454 ^ _163590) ^ [] : [-(aElementOf0(1452 ^ [], xP))], (1456 ^ _163590) ^ [] : [aElementOf0(1452 ^ [], xS)], (1458 ^ _163590) ^ [] : [aSubsetOf0(xP, xS)]], sbrdtbr0(xP) = xk], (116 ^ _163590) ^ [_167314, _167316] : [_167316 = _167314, -(szmzazxdt0(_167316) = szmzazxdt0(_167314))], (122 ^ _163590) ^ [_167532, _167534] : [_167534 = _167532, -(szmzizndt0(_167534) = szmzizndt0(_167532))], (128 ^ _163590) ^ [_167750, _167752] : [_167752 = _167750, -(szszuzczcdt0(_167752) = szszuzczcdt0(_167750))], (134 ^ _163590) ^ [_167968, _167970] : [_167970 = _167968, -(slbdtrb0(_167970) = slbdtrb0(_167968))], (140 ^ _163590) ^ [_168214, _168216, _168218, _168220] : [-(sdtpldt0(_168220, _168216) = sdtpldt0(_168218, _168214)), _168220 = _168218, _168216 = _168214], (150 ^ _163590) ^ [_168573, _168575, _168577, _168579] : [-(sdtmndt0(_168579, _168575) = sdtmndt0(_168577, _168573)), _168579 = _168577, _168575 = _168573], (160 ^ _163590) ^ [_168904, _168906] : [_168906 = _168904, -(sbrdtbr0(_168906) = sbrdtbr0(_168904))], (166 ^ _163590) ^ [_169130, _169132, _169134, _169136] : [-(slbdtsldtrb0(_169136, _169132) = slbdtsldtrb0(_169134, _169130)), _169136 = _169134, _169132 = _169130], (2 ^ _163590) ^ [_163734] : [-(_163734 = _163734)], (4 ^ _163590) ^ [_163841, _163843] : [_163843 = _163841, -(_163841 = _163843)], (10 ^ _163590) ^ [_164045, _164047, _164049] : [-(_164049 = _164045), _164049 = _164047, _164047 = _164045], (20 ^ _163590) ^ [_164386, _164388, _164390, _164392] : [-(iLess0(_164390, _164386)), iLess0(_164392, _164388), _164392 = _164390, _164388 = _164386], (34 ^ _163590) ^ [_164830, _164832, _164834, _164836] : [-(sdtlseqdt0(_164834, _164830)), sdtlseqdt0(_164836, _164832), _164836 = _164834, _164832 = _164830], (48 ^ _163590) ^ [_165246, _165248] : [-(isCountable0(_165246)), _165248 = _165246, isCountable0(_165248)], (58 ^ _163590) ^ [_165541, _165543] : [-(isFinite0(_165541)), _165543 = _165541, isFinite0(_165543)], (68 ^ _163590) ^ [_165836, _165838] : [-(aSet0(_165836)), _165838 = _165836, aSet0(_165838)], (78 ^ _163590) ^ [_166131, _166133] : [-(aElement0(_166131)), _166133 = _166131, aElement0(_166133)], (88 ^ _163590) ^ [_166454, _166456, _166458, _166460] : [-(aSubsetOf0(_166458, _166454)), aSubsetOf0(_166460, _166456), _166460 = _166458, _166456 = _166454], (102 ^ _163590) ^ [_166878, _166880, _166882, _166884] : [-(aElementOf0(_166882, _166878)), aElementOf0(_166884, _166880), _166884 = _166882, _166880 = _166878], (176 ^ _163590) ^ [_169477] : [aSet0(_169477), true___, -(true___)], (186 ^ _163590) ^ [_169732] : [aElement0(_169732), true___, -(true___)], (196 ^ _163590) ^ [_169987] : [aSet0(_169987), 199 ^ _163590 : [(200 ^ _163590) ^ [_170117] : [aElementOf0(_170117, _169987), -(aElement0(_170117))]]], (206 ^ _163590) ^ [_170318] : [aSet0(_170318), isFinite0(_170318), true___, -(true___)], (220 ^ _163590) ^ [_170688] : [_170688 = slcrc0, 223 ^ _163590 : [(224 ^ _163590) ^ [] : [-(aSet0(_170688))], (226 ^ _163590) ^ [_170869] : [aElementOf0(_170869, _170688)]]], (228 ^ _163590) ^ [_170937] : [-(_170937 = slcrc0), aSet0(_170937), -(aElementOf0(233 ^ [_170937], _170937))], (239 ^ _163590) ^ [] : [-(isFinite0(slcrc0))], (241 ^ _163590) ^ [_171319] : [aSet0(_171319), isCountable0(_171319), true___, -(true___)], (255 ^ _163590) ^ [_171660] : [isFinite0(_171660), aSet0(_171660), isCountable0(_171660)], (265 ^ _163590) ^ [_171930] : [_171930 = slcrc0, aSet0(_171930), isCountable0(_171930)], (275 ^ _163590) ^ [_172202] : [aSet0(_172202), 278 ^ _163590 : [(279 ^ _163590) ^ [_172378] : [aSubsetOf0(_172378, _172202), 282 ^ _163590 : [(283 ^ _163590) ^ [] : [-(aSet0(_172378))], (285 ^ _163590) ^ [_172587] : [aElementOf0(_172587, _172378), -(aElementOf0(_172587, _172202))]]], (291 ^ _163590) ^ [_172766] : [-(aSubsetOf0(_172766, _172202)), aSet0(_172766), 297 ^ _163590 : [(298 ^ _163590) ^ [] : [-(aElementOf0(296 ^ [_172202, _172766], _172766))], (300 ^ _163590) ^ [] : [aElementOf0(296 ^ [_172202, _172766], _172202)]]]]], (304 ^ _163590) ^ [_173203] : [aSet0(_173203), isFinite0(_173203), 311 ^ _163590 : [(312 ^ _163590) ^ [_173416] : [aSubsetOf0(_173416, _173203), -(isFinite0(_173416))]]], (318 ^ _163590) ^ [_173619] : [aSet0(_173619), -(aSubsetOf0(_173619, _173619))], (324 ^ _163590) ^ [_173821, _173823] : [aSet0(_173823), aSet0(_173821), -(_173823 = _173821), aSubsetOf0(_173823, _173821), aSubsetOf0(_173821, _173823)], (342 ^ _163590) ^ [_174310, _174312, _174314] : [aSet0(_174314), aSet0(_174312), aSet0(_174310), -(aSubsetOf0(_174314, _174310)), aSubsetOf0(_174314, _174312), aSubsetOf0(_174312, _174310)], (364 ^ _163590) ^ [_174896, _174898] : [aSet0(_174898), aElement0(_174896), 371 ^ _163590 : [(402 ^ _163590) ^ [_176157] : [-(_176157 = sdtpldt0(_174898, _174896)), aSet0(_176157), 410 ^ _163590 : [(411 ^ _163590) ^ [] : [-(aElementOf0(407 ^ [_174896, _174898, _176157], _176157))], (413 ^ _163590) ^ [] : [aElement0(407 ^ [_174896, _174898, _176157]), 416 ^ _163590 : [(417 ^ _163590) ^ [] : [aElementOf0(407 ^ [_174896, _174898, _176157], _174898)], (419 ^ _163590) ^ [] : [407 ^ [_174896, _174898, _176157] = _174896]]]], 420 ^ _163590 : [(429 ^ _163590) ^ [] : [aElementOf0(407 ^ [_174896, _174898, _176157], _176157)], (421 ^ _163590) ^ [] : [-(aElement0(407 ^ [_174896, _174898, _176157]))], (423 ^ _163590) ^ [] : [-(aElementOf0(407 ^ [_174896, _174898, _176157], _174898)), -(407 ^ [_174896, _174898, _176157] = _174896)]]], (372 ^ _163590) ^ [_175177] : [_175177 = sdtpldt0(_174898, _174896), 375 ^ _163590 : [(376 ^ _163590) ^ [] : [-(aSet0(_175177))], (378 ^ _163590) ^ [_175440] : [aElementOf0(_175440, _175177), 381 ^ _163590 : [(382 ^ _163590) ^ [] : [-(aElement0(_175440))], (384 ^ _163590) ^ [] : [-(aElementOf0(_175440, _174898)), -(_175440 = _174896)]]], (390 ^ _163590) ^ [_175795] : [-(aElementOf0(_175795, _175177)), aElement0(_175795), 395 ^ _163590 : [(396 ^ _163590) ^ [] : [aElementOf0(_175795, _174898)], (398 ^ _163590) ^ [] : [_175795 = _174896]]]]]]], (433 ^ _163590) ^ [_177194, _177196] : [aSet0(_177196), aElement0(_177194), 440 ^ _163590 : [(471 ^ _163590) ^ [_178462] : [-(_178462 = sdtmndt0(_177196, _177194)), aSet0(_178462), 491 ^ _163590 : [(492 ^ _163590) ^ [] : [-(aElement0(476 ^ [_177194, _177196, _178462]))], (494 ^ _163590) ^ [] : [-(aElementOf0(476 ^ [_177194, _177196, _178462], _177196))], (496 ^ _163590) ^ [] : [476 ^ [_177194, _177196, _178462] = _177194], (498 ^ _163590) ^ [] : [aElementOf0(476 ^ [_177194, _177196, _178462], _178462)]], 479 ^ _163590 : [(480 ^ _163590) ^ [] : [-(aElementOf0(476 ^ [_177194, _177196, _178462], _178462))], (482 ^ _163590) ^ [] : [aElement0(476 ^ [_177194, _177196, _178462]), aElementOf0(476 ^ [_177194, _177196, _178462], _177196), -(476 ^ [_177194, _177196, _178462] = _177194)]]], (441 ^ _163590) ^ [_177477] : [_177477 = sdtmndt0(_177196, _177194), 444 ^ _163590 : [(445 ^ _163590) ^ [] : [-(aSet0(_177477))], (447 ^ _163590) ^ [_177742] : [aElementOf0(_177742, _177477), 450 ^ _163590 : [(451 ^ _163590) ^ [] : [-(aElement0(_177742))], (453 ^ _163590) ^ [] : [-(aElementOf0(_177742, _177196))], (455 ^ _163590) ^ [] : [_177742 = _177194]]], (457 ^ _163590) ^ [_178078] : [-(aElementOf0(_178078, _177477)), aElement0(_178078), aElementOf0(_178078, _177196), -(_178078 = _177194)]]]]], (502 ^ _163590) ^ [_179492] : [aSet0(_179492), 505 ^ _163590 : [(506 ^ _163590) ^ [_179629] : [aElementOf0(_179629, _179492), -(sdtpldt0(sdtmndt0(_179492, _179629), _179629) = _179492)]]], (512 ^ _163590) ^ [_179858, _179860] : [aElement0(_179860), aSet0(_179858), -(aElementOf0(_179860, _179858)), -(sdtmndt0(sdtpldt0(_179858, _179860), _179860) = _179858)], (526 ^ _163590) ^ [_180245] : [aElement0(_180245), 529 ^ _163590 : [(530 ^ _163590) ^ [_180382] : [-(isCountable0(sdtpldt0(_180382, _180245))), aSet0(_180382), isCountable0(_180382)]]], (540 ^ _163590) ^ [_180674] : [aElement0(_180674), 543 ^ _163590 : [(544 ^ _163590) ^ [_180811] : [-(isCountable0(sdtmndt0(_180811, _180674))), aSet0(_180811), isCountable0(_180811)]]], (554 ^ _163590) ^ [_181103] : [aElement0(_181103), 557 ^ _163590 : [(558 ^ _163590) ^ [_181240] : [-(isFinite0(sdtpldt0(_181240, _181103))), aSet0(_181240), isFinite0(_181240)]]], (568 ^ _163590) ^ [_181532] : [aElement0(_181532), 571 ^ _163590 : [(572 ^ _163590) ^ [_181669] : [-(isFinite0(sdtmndt0(_181669, _181532))), aSet0(_181669), isFinite0(_181669)]]], (582 ^ _163590) ^ [] : [-(aSet0(szNzAzT0))], (584 ^ _163590) ^ [] : [-(isCountable0(szNzAzT0))], (586 ^ _163590) ^ [] : [-(aElementOf0(sz00, szNzAzT0))], (588 ^ _163590) ^ [_182122] : [aElementOf0(_182122, szNzAzT0), 591 ^ _163590 : [(592 ^ _163590) ^ [] : [-(aElementOf0(szszuzczcdt0(_182122), szNzAzT0))], (594 ^ _163590) ^ [] : [szszuzczcdt0(_182122) = sz00]]], (596 ^ _163590) ^ [_182408, _182410] : [aElementOf0(_182410, szNzAzT0), aElementOf0(_182408, szNzAzT0), szszuzczcdt0(_182410) = szszuzczcdt0(_182408), -(_182410 = _182408)], (610 ^ _163590) ^ [_182792] : [aElementOf0(_182792, szNzAzT0), -(_182792 = sz00), 618 ^ _163590 : [(619 ^ _163590) ^ [] : [-(aElementOf0(617 ^ [_182792], szNzAzT0))], (621 ^ _163590) ^ [] : [-(_182792 = szszuzczcdt0(617 ^ [_182792]))]]], (623 ^ _163590) ^ [_183209] : [aElementOf0(_183209, szNzAzT0), _183209 = szszuzczcdt0(_183209)], (629 ^ _163590) ^ [_183418, _183420] : [aElementOf0(_183420, szNzAzT0), aElementOf0(_183418, szNzAzT0), sdtlseqdt0(_183420, _183418), true___, -(true___)], (647 ^ _163590) ^ [_183868] : [aElementOf0(_183868, szNzAzT0), -(sdtlseqdt0(sz00, _183868))], (653 ^ _163590) ^ [_184058] : [aElementOf0(_184058, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_184058), sz00)], (659 ^ _163590) ^ [_184267, _184269] : [aElementOf0(_184269, szNzAzT0), aElementOf0(_184267, szNzAzT0), 666 ^ _163590 : [(667 ^ _163590) ^ [] : [sdtlseqdt0(_184269, _184267), -(sdtlseqdt0(szszuzczcdt0(_184269), szszuzczcdt0(_184267)))], (673 ^ _163590) ^ [] : [sdtlseqdt0(szszuzczcdt0(_184269), szszuzczcdt0(_184267)), -(sdtlseqdt0(_184269, _184267))]]], (679 ^ _163590) ^ [_184816] : [aElementOf0(_184816, szNzAzT0), -(sdtlseqdt0(_184816, szszuzczcdt0(_184816)))], (685 ^ _163590) ^ [_185010] : [aElementOf0(_185010, szNzAzT0), -(sdtlseqdt0(_185010, _185010))], (691 ^ _163590) ^ [_185214, _185216] : [aElementOf0(_185216, szNzAzT0), aElementOf0(_185214, szNzAzT0), -(_185216 = _185214), sdtlseqdt0(_185216, _185214), sdtlseqdt0(_185214, _185216)], (709 ^ _163590) ^ [_185707, _185709, _185711] : [aElementOf0(_185711, szNzAzT0), aElementOf0(_185709, szNzAzT0), aElementOf0(_185707, szNzAzT0), -(sdtlseqdt0(_185711, _185707)), sdtlseqdt0(_185711, _185709), sdtlseqdt0(_185709, _185707)], (731 ^ _163590) ^ [_186299, _186301] : [aElementOf0(_186301, szNzAzT0), aElementOf0(_186299, szNzAzT0), -(sdtlseqdt0(_186301, _186299)), -(sdtlseqdt0(szszuzczcdt0(_186299), _186301))], (745 ^ _163590) ^ [_186694, _186696] : [aElementOf0(_186696, szNzAzT0), aElementOf0(_186694, szNzAzT0), iLess0(_186696, _186694), true___, -(true___)], (763 ^ _163590) ^ [_187144] : [aElementOf0(_187144, szNzAzT0), -(iLess0(_187144, szszuzczcdt0(_187144)))], (769 ^ _163590) ^ [_187338] : [aSet0(_187338), -(aElement0(sbrdtbr0(_187338)))], (775 ^ _163590) ^ [_187528] : [aSet0(_187528), 778 ^ _163590 : [(779 ^ _163590) ^ [] : [aElementOf0(sbrdtbr0(_187528), szNzAzT0), -(isFinite0(_187528))], (785 ^ _163590) ^ [] : [isFinite0(_187528), -(aElementOf0(sbrdtbr0(_187528), szNzAzT0))]]], (791 ^ _163590) ^ [_187959] : [aSet0(_187959), 794 ^ _163590 : [(795 ^ _163590) ^ [] : [sbrdtbr0(_187959) = sz00, -(_187959 = slcrc0)], (801 ^ _163590) ^ [] : [_187959 = slcrc0, -(sbrdtbr0(_187959) = sz00)]]], (807 ^ _163590) ^ [_188393] : [aSet0(_188393), isFinite0(_188393), 814 ^ _163590 : [(815 ^ _163590) ^ [_188623] : [aElement0(_188623), -(aElementOf0(_188623, _188393)), -(sbrdtbr0(sdtpldt0(_188393, _188623)) = szszuzczcdt0(sbrdtbr0(_188393)))]]], (825 ^ _163590) ^ [_188936] : [aSet0(_188936), 828 ^ _163590 : [(829 ^ _163590) ^ [_189081] : [-(szszuzczcdt0(sbrdtbr0(sdtmndt0(_188936, _189081))) = sbrdtbr0(_188936)), isFinite0(_188936), aElementOf0(_189081, _188936)]]], (839 ^ _163590) ^ [_189389] : [aSet0(_189389), 842 ^ _163590 : [(843 ^ _163590) ^ [_189529] : [-(sdtlseqdt0(sbrdtbr0(_189529), sbrdtbr0(_189389))), isFinite0(_189389), aSubsetOf0(_189529, _189389)]]], (853 ^ _163590) ^ [_189841, _189843] : [aSet0(_189843), aElementOf0(_189841, szNzAzT0), 869 ^ _163590 : [(870 ^ _163590) ^ [] : [-(aSubsetOf0(868 ^ [_189841, _189843], _189843))], (872 ^ _163590) ^ [] : [-(sbrdtbr0(868 ^ [_189841, _189843]) = _189841)]], isFinite0(_189843), sdtlseqdt0(_189841, sbrdtbr0(_189843))], (874 ^ _163590) ^ [_190457] : [aSubsetOf0(_190457, szNzAzT0), -(_190457 = slcrc0), 881 ^ _163590 : [(882 ^ _163590) ^ [_190726] : [_190726 = szmzizndt0(_190457), 885 ^ _163590 : [(886 ^ _163590) ^ [] : [-(aElementOf0(_190726, _190457))], (888 ^ _163590) ^ [_190941] : [aElementOf0(_190941, _190457), -(sdtlseqdt0(_190726, _190941))]]], (894 ^ _163590) ^ [_191120] : [-(_191120 = szmzizndt0(_190457)), aElementOf0(_191120, _190457), 900 ^ _163590 : [(901 ^ _163590) ^ [] : [-(aElementOf0(899 ^ [_190457, _191120], _190457))], (903 ^ _163590) ^ [] : [sdtlseqdt0(_191120, 899 ^ [_190457, _191120])]]]]], (907 ^ _163590) ^ [_191565] : [aSubsetOf0(_191565, szNzAzT0), isFinite0(_191565), -(_191565 = slcrc0), 918 ^ _163590 : [(919 ^ _163590) ^ [_191917] : [_191917 = szmzazxdt0(_191565), 922 ^ _163590 : [(923 ^ _163590) ^ [] : [-(aElementOf0(_191917, _191565))], (925 ^ _163590) ^ [_192132] : [aElementOf0(_192132, _191565), -(sdtlseqdt0(_192132, _191917))]]], (931 ^ _163590) ^ [_192311] : [-(_192311 = szmzazxdt0(_191565)), aElementOf0(_192311, _191565), 937 ^ _163590 : [(938 ^ _163590) ^ [] : [-(aElementOf0(936 ^ [_191565, _192311], _191565))], (940 ^ _163590) ^ [] : [sdtlseqdt0(936 ^ [_191565, _192311], _192311)]]]]], (944 ^ _163590) ^ [_192772, _192774] : [-(szmzizndt0(_192774) = szmzizndt0(_192772)), aElementOf0(szmzizndt0(_192774), _192772), aElementOf0(szmzizndt0(_192772), _192774), aSubsetOf0(_192774, szNzAzT0), aSubsetOf0(_192772, szNzAzT0), -(_192774 = slcrc0), -(_192772 = slcrc0)], (970 ^ _163590) ^ [_193439] : [aElementOf0(_193439, szNzAzT0), 973 ^ _163590 : [(998 ^ _163590) ^ [_194408] : [-(_194408 = slbdtrb0(_193439)), aSet0(_194408), 1014 ^ _163590 : [(1015 ^ _163590) ^ [] : [-(aElementOf0(1003 ^ [_193439, _194408], szNzAzT0))], (1017 ^ _163590) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(1003 ^ [_193439, _194408]), _193439))], (1019 ^ _163590) ^ [] : [aElementOf0(1003 ^ [_193439, _194408], _194408)]], 1006 ^ _163590 : [(1007 ^ _163590) ^ [] : [-(aElementOf0(1003 ^ [_193439, _194408], _194408))], (1009 ^ _163590) ^ [] : [aElementOf0(1003 ^ [_193439, _194408], szNzAzT0), sdtlseqdt0(szszuzczcdt0(1003 ^ [_193439, _194408]), _193439)]]], (974 ^ _163590) ^ [_193627] : [_193627 = slbdtrb0(_193439), 977 ^ _163590 : [(978 ^ _163590) ^ [] : [-(aSet0(_193627))], (980 ^ _163590) ^ [_193877] : [aElementOf0(_193877, _193627), 983 ^ _163590 : [(984 ^ _163590) ^ [] : [-(aElementOf0(_193877, szNzAzT0))], (986 ^ _163590) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_193877), _193439))]]], (988 ^ _163590) ^ [_194130] : [-(aElementOf0(_194130, _193627)), aElementOf0(_194130, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_194130), _193439)]]]]], (1023 ^ _163590) ^ [_195211] : [aElementOf0(_195211, szNzAzT0), -(isFinite0(slbdtrb0(_195211)))], (1029 ^ _163590) ^ [] : [-(slbdtrb0(sz00) = slcrc0)], (1031 ^ _163590) ^ [_195470, _195472] : [aElementOf0(_195472, szNzAzT0), aElementOf0(_195470, szNzAzT0), 1038 ^ _163590 : [(1049 ^ _163590) ^ [] : [1050 ^ _163590 : [(1051 ^ _163590) ^ [] : [aElementOf0(_195472, slbdtrb0(_195470))], (1053 ^ _163590) ^ [] : [_195472 = _195470]], -(aElementOf0(_195472, slbdtrb0(szszuzczcdt0(_195470))))], (1039 ^ _163590) ^ [] : [aElementOf0(_195472, slbdtrb0(szszuzczcdt0(_195470))), -(aElementOf0(_195472, slbdtrb0(_195470))), -(_195472 = _195470)]]], (1057 ^ _163590) ^ [_196197, _196199] : [aElementOf0(_196199, szNzAzT0), aElementOf0(_196197, szNzAzT0), 1064 ^ _163590 : [(1065 ^ _163590) ^ [] : [sdtlseqdt0(_196199, _196197), -(aSubsetOf0(slbdtrb0(_196199), slbdtrb0(_196197)))], (1071 ^ _163590) ^ [] : [aSubsetOf0(slbdtrb0(_196199), slbdtrb0(_196197)), -(sdtlseqdt0(_196199, _196197))]]], (1077 ^ _163590) ^ [_196746] : [1085 ^ _163590 : [(1086 ^ _163590) ^ [] : [-(aElementOf0(1084 ^ [_196746], szNzAzT0))], (1088 ^ _163590) ^ [] : [-(aSubsetOf0(_196746, slbdtrb0(1084 ^ [_196746])))]], aSubsetOf0(_196746, szNzAzT0), isFinite0(_196746)], (1090 ^ _163590) ^ [_197160] : [aElementOf0(_197160, szNzAzT0), -(sbrdtbr0(slbdtrb0(_197160)) = _197160)], (1096 ^ _163590) ^ [_197372, _197374] : [aSet0(_197374), aElementOf0(_197372, szNzAzT0), 1103 ^ _163590 : [(1128 ^ _163590) ^ [_198465] : [-(_198465 = slbdtsldtrb0(_197374, _197372)), aSet0(_198465), 1144 ^ _163590 : [(1145 ^ _163590) ^ [] : [-(aSubsetOf0(1133 ^ [_197372, _197374, _198465], _197374))], (1147 ^ _163590) ^ [] : [-(sbrdtbr0(1133 ^ [_197372, _197374, _198465]) = _197372)], (1149 ^ _163590) ^ [] : [aElementOf0(1133 ^ [_197372, _197374, _198465], _198465)]], 1136 ^ _163590 : [(1137 ^ _163590) ^ [] : [-(aElementOf0(1133 ^ [_197372, _197374, _198465], _198465))], (1139 ^ _163590) ^ [] : [aSubsetOf0(1133 ^ [_197372, _197374, _198465], _197374), sbrdtbr0(1133 ^ [_197372, _197374, _198465]) = _197372]]], (1104 ^ _163590) ^ [_197652] : [_197652 = slbdtsldtrb0(_197374, _197372), 1107 ^ _163590 : [(1108 ^ _163590) ^ [] : [-(aSet0(_197652))], (1110 ^ _163590) ^ [_197912] : [aElementOf0(_197912, _197652), 1113 ^ _163590 : [(1114 ^ _163590) ^ [] : [-(aSubsetOf0(_197912, _197374))], (1116 ^ _163590) ^ [] : [-(sbrdtbr0(_197912) = _197372)]]], (1118 ^ _163590) ^ [_198175] : [-(aElementOf0(_198175, _197652)), aSubsetOf0(_198175, _197374), sbrdtbr0(_198175) = _197372]]]]], (1153 ^ _163590) ^ [_199314] : [aSet0(_199314), isFinite0(_199314), 1160 ^ _163590 : [(1161 ^ _163590) ^ [_199530] : [aElementOf0(_199530, szNzAzT0), -(isFinite0(slbdtsldtrb0(_199314, _199530)))]]], (1167 ^ _163590) ^ [_199739] : [aSet0(_199739), -(isFinite0(_199739)), 1174 ^ _163590 : [(1175 ^ _163590) ^ [_199961] : [aElementOf0(_199961, szNzAzT0), slbdtsldtrb0(_199739, _199961) = slcrc0]]], (1181 ^ _163590) ^ [_200173] : [aSet0(_200173), isCountable0(_200173), 1188 ^ _163590 : [(1189 ^ _163590) ^ [_200397] : [-(isCountable0(slbdtsldtrb0(_200173, _200397))), aElementOf0(_200397, szNzAzT0), -(_200397 = sz00)]]], (1199 ^ _163590) ^ [] : [-(aElementOf0(xk, szNzAzT0))], (1201 ^ _163590) ^ [] : [-(aSet0(xS))], (1203 ^ _163590) ^ [] : [-(aSet0(xT))], (1205 ^ _163590) ^ [] : [xk = sz00], (1329 ^ _163590) ^ [] : [-(aElementOf0(xx, xS))], (1331 ^ _163590) ^ [] : [-(aSet0(xQ))], (1339 ^ _163590) ^ [] : [-(aSubsetOf0(xQ, xS))], (1341 ^ _163590) ^ [] : [-(sbrdtbr0(xQ) = xk)], (1343 ^ _163590) ^ [] : [-(aElementOf0(xQ, slbdtsldtrb0(xS, xk)))], (1333 ^ _163590) ^ [_204891] : [aElementOf0(_204891, xQ), -(aElementOf0(_204891, xS))], (1345 ^ _163590) ^ [] : [-(aSet0(xQ))], (1347 ^ _163590) ^ [] : [-(isFinite0(xQ))], (1349 ^ _163590) ^ [] : [-(sbrdtbr0(xQ) = xk)], (1351 ^ _163590) ^ [] : [-(aElement0(xy))], (1353 ^ _163590) ^ [] : [-(aElementOf0(xy, xQ))], (1355 ^ _163590) ^ [] : [aElementOf0(xx, xQ)], (1357 ^ _163590) ^ [] : [aElementOf0(xx, xQ)], (1447 ^ _163590) ^ [] : [-(aSubsetOf0(xP, xS))], (1449 ^ _163590) ^ [] : [-(sbrdtbr0(xP) = xk)], (1441 ^ _163590) ^ [_207958] : [aElementOf0(_207958, xP), -(aElementOf0(_207958, xS))], (1413 ^ _163590) ^ [] : [aElementOf0(xx, sdtmndt0(xQ, xy))], (1415 ^ _163590) ^ [] : [-(aSet0(sdtmndt0(xQ, xy)))], (1417 ^ _163590) ^ [_207291] : [aElementOf0(_207291, sdtmndt0(xQ, xy)), 1420 ^ _163590 : [(1421 ^ _163590) ^ [] : [-(aElement0(_207291))], (1423 ^ _163590) ^ [] : [-(aElementOf0(_207291, xQ))], (1425 ^ _163590) ^ [] : [_207291 = xy]]], (1427 ^ _163590) ^ [_207591] : [-(aElementOf0(_207591, sdtmndt0(xQ, xy))), aElement0(_207591), aElementOf0(_207591, xQ), -(_207591 = xy)], (1359 ^ _163590) ^ [] : [-(aSet0(sdtmndt0(xQ, xy)))], (1361 ^ _163590) ^ [_205709] : [aElementOf0(_205709, sdtmndt0(xQ, xy)), 1364 ^ _163590 : [(1365 ^ _163590) ^ [] : [-(aElement0(_205709))], (1367 ^ _163590) ^ [] : [-(aElementOf0(_205709, xQ))], (1369 ^ _163590) ^ [] : [_205709 = xy]]], (1371 ^ _163590) ^ [_206009] : [-(aElementOf0(_206009, sdtmndt0(xQ, xy))), aElement0(_206009), aElementOf0(_206009, xQ), -(_206009 = xy)], (1385 ^ _163590) ^ [] : [-(aSet0(xP))], (1411 ^ _163590) ^ [] : [-(xP = sdtpldt0(sdtmndt0(xQ, xy), xx))], (1387 ^ _163590) ^ [_206454] : [aElementOf0(_206454, xP), 1390 ^ _163590 : [(1391 ^ _163590) ^ [] : [-(aElement0(_206454))], (1393 ^ _163590) ^ [] : [-(aElementOf0(_206454, sdtmndt0(xQ, xy))), -(_206454 = xx)]]], (1399 ^ _163590) ^ [_206767] : [-(aElementOf0(_206767, xP)), aElement0(_206767), 1404 ^ _163590 : [(1405 ^ _163590) ^ [] : [aElementOf0(_206767, sdtmndt0(xQ, xy))], (1407 ^ _163590) ^ [] : [_206767 = xx]]], (1207 ^ _163590) ^ [] : [-(aSet0(slbdtsldtrb0(xS, xk)))], (1209 ^ _163590) ^ [_201006] : [aElementOf0(_201006, slbdtsldtrb0(xS, xk)), 1212 ^ _163590 : [(1213 ^ _163590) ^ [] : [-(aSet0(_201006))], (1221 ^ _163590) ^ [] : [-(aSubsetOf0(_201006, xS))], (1223 ^ _163590) ^ [] : [-(sbrdtbr0(_201006) = xk)], (1215 ^ _163590) ^ [_201241] : [aElementOf0(_201241, _201006), -(aElementOf0(_201241, xS))]]], (1225 ^ _163590) ^ [_201528] : [-(aElementOf0(_201528, slbdtsldtrb0(xS, xk))), sbrdtbr0(_201528) = xk, 1228 ^ _163590 : [(1238 ^ _163590) ^ [] : [aSubsetOf0(_201528, xS)], (1229 ^ _163590) ^ [] : [aSet0(_201528), 1233 ^ _163590 : [(1234 ^ _163590) ^ [] : [-(aElementOf0(1232 ^ [_201528], _201528))], (1236 ^ _163590) ^ [] : [aElementOf0(1232 ^ [_201528], xS)]]]]], (1244 ^ _163590) ^ [] : [-(aSet0(slbdtsldtrb0(xT, xk)))], (1246 ^ _163590) ^ [_202172] : [aElementOf0(_202172, slbdtsldtrb0(xT, xk)), 1249 ^ _163590 : [(1250 ^ _163590) ^ [] : [-(aSet0(_202172))], (1258 ^ _163590) ^ [] : [-(aSubsetOf0(_202172, xT))], (1260 ^ _163590) ^ [] : [-(sbrdtbr0(_202172) = xk)], (1252 ^ _163590) ^ [_202407] : [aElementOf0(_202407, _202172), -(aElementOf0(_202407, xT))]]], (1262 ^ _163590) ^ [_202694] : [-(aElementOf0(_202694, slbdtsldtrb0(xT, xk))), sbrdtbr0(_202694) = xk, 1265 ^ _163590 : [(1275 ^ _163590) ^ [] : [aSubsetOf0(_202694, xT)], (1266 ^ _163590) ^ [] : [aSet0(_202694), 1270 ^ _163590 : [(1271 ^ _163590) ^ [] : [-(aElementOf0(1269 ^ [_202694], _202694))], (1273 ^ _163590) ^ [] : [aElementOf0(1269 ^ [_202694], xT)]]]]], (1281 ^ _163590) ^ [_203265] : [aElementOf0(_203265, slbdtsldtrb0(xS, xk)), -(aElementOf0(_203265, slbdtsldtrb0(xT, xk)))], (1287 ^ _163590) ^ [] : [-(aSubsetOf0(slbdtsldtrb0(xS, xk), slbdtsldtrb0(xT, xk)))], (1325 ^ _163590) ^ [] : [-(aElementOf0(1323 ^ [], slbdtsldtrb0(xS, xk)))], (1327 ^ _163590) ^ [] : [slbdtsldtrb0(xS, xk) = slcrc0], (1289 ^ _163590) ^ [_203528] : [aElementOf0(_203528, slbdtsldtrb0(xS, xk)), 1292 ^ _163590 : [(1293 ^ _163590) ^ [] : [-(aSet0(_203528))], (1301 ^ _163590) ^ [] : [-(aSubsetOf0(_203528, xS))], (1303 ^ _163590) ^ [] : [-(sbrdtbr0(_203528) = xk)], (1295 ^ _163590) ^ [_203763] : [aElementOf0(_203763, _203528), -(aElementOf0(_203763, xS))]]], (1305 ^ _163590) ^ [_204050] : [-(aElementOf0(_204050, slbdtsldtrb0(xS, xk))), sbrdtbr0(_204050) = xk, 1308 ^ _163590 : [(1318 ^ _163590) ^ [] : [aSubsetOf0(_204050, xS)], (1309 ^ _163590) ^ [] : [aSet0(_204050), 1313 ^ _163590 : [(1314 ^ _163590) ^ [] : [-(aElementOf0(1312 ^ [_204050], _204050))], (1316 ^ _163590) ^ [] : [aElementOf0(1312 ^ [_204050], xS)]]]]]], input).
% 0.35/1.37 ncf('1',plain,[aElementOf0(xP, slbdtsldtrb0(xS, xk))],start(1462 ^ 0)).
% 0.35/1.37 ncf('1.1',plain,[-(aElementOf0(xP, slbdtsldtrb0(xS, xk))), sbrdtbr0(xP) = xk, 1238 : aSubsetOf0(xP, xS)],extension(1225 ^ 1,bind([[_201528], [xP]]))).
% 0.35/1.37 ncf('1.1.1',plain,[-(sbrdtbr0(xP) = xk)],extension(1449 ^ 2)).
% 0.35/1.37 ncf('1.1.2',plain,[-(aSubsetOf0(xP, xS))],extension(1447 ^ 4)).
% 0.35/1.37 %-----------------------------------------------------
% 0.35/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------