TSTP Solution File: NUM550+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM550+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n011.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 11:44:58 EDT 2023
% Result : Theorem 69.70s 67.66s
% Output : Proof 69.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM550+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n011.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 17:15:33 EDT 2023
% 0.12/0.34 % CPUTime :
% 69.70/67.66
% 69.70/67.66 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 69.70/67.66 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 69.70/67.66 %-----------------------------------------------------
% 69.70/67.66 ncf(matrix, plain, [(1353 ^ _206567) ^ [] : [-(xQ = slcrc0)], (1351 ^ _206567) ^ [_206630] : [aElementOf0(_206630, xQ)], !, (659 ^ _164396) ^ [_185053, _185055] : [aElementOf0(_185055, szNzAzT0), aElementOf0(_185053, szNzAzT0), 666 ^ _164396 : [(673 ^ _164396) ^ [] : [sdtlseqdt0(szszuzczcdt0(_185055), szszuzczcdt0(_185053)), -(sdtlseqdt0(_185055, _185053))], (667 ^ _164396) ^ [] : [sdtlseqdt0(_185055, _185053), -(sdtlseqdt0(szszuzczcdt0(_185055), szszuzczcdt0(_185053)))]]], (807 ^ _164396) ^ [_189179] : [aSet0(_189179), isFinite0(_189179), 814 ^ _164396 : [(815 ^ _164396) ^ [_189409] : [aElement0(_189409), -(aElementOf0(_189409, _189179)), -(sbrdtbr0(sdtpldt0(_189179, _189409)) = szszuzczcdt0(sbrdtbr0(_189179)))]]], (1349 ^ _164396) ^ [] : [-(sbrdtbr0(xQ) = xk)], (568 ^ _164396) ^ [_182318] : [aElement0(_182318), 571 ^ _164396 : [(572 ^ _164396) ^ [_182455] : [-(isFinite0(sdtmndt0(_182455, _182318))), aSet0(_182455), isFinite0(_182455)]]], (255 ^ _164396) ^ [_172446] : [isFinite0(_172446), aSet0(_172446), isCountable0(_172446)], (588 ^ _164396) ^ [_182908] : [aElementOf0(_182908, szNzAzT0), 591 ^ _164396 : [(594 ^ _164396) ^ [] : [szszuzczcdt0(_182908) = sz00], (592 ^ _164396) ^ [] : [-(aElementOf0(szszuzczcdt0(_182908), szNzAzT0))]]], (1246 ^ _164396) ^ [_202958] : [aElementOf0(_202958, slbdtsldtrb0(xT, xk)), 1249 ^ _164396 : [(1258 ^ _164396) ^ [] : [-(aSubsetOf0(_202958, xT))], (1260 ^ _164396) ^ [] : [-(sbrdtbr0(_202958) = xk)], (1252 ^ _164396) ^ [_203193] : [aElementOf0(_203193, _202958), -(aElementOf0(_203193, xT))], (1250 ^ _164396) ^ [] : [-(aSet0(_202958))]]], (2 ^ _164396) ^ [_164520] : [-(_164520 = _164520)], (58 ^ _164396) ^ [_166327, _166329] : [-(isCountable0(_166327)), _166329 = _166327, isCountable0(_166329)], (610 ^ _164396) ^ [_183578] : [aElementOf0(_183578, szNzAzT0), -(_183578 = sz00), 618 ^ _164396 : [(621 ^ _164396) ^ [] : [-(_183578 = szszuzczcdt0(617 ^ [_183578]))], (619 ^ _164396) ^ [] : [-(aElementOf0(617 ^ [_183578], szNzAzT0))]]], (582 ^ _164396) ^ [] : [-(aSet0(szNzAzT0))], (82 ^ _164396) ^ [_167066, _167068] : [-(aSet0(_167066)), _167068 = _167066, aSet0(_167068)], (304 ^ _164396) ^ [_173989] : [aSet0(_173989), isFinite0(_173989), 311 ^ _164396 : [(312 ^ _164396) ^ [_174202] : [aSubsetOf0(_174202, _173989), -(isFinite0(_174202))]]], (1281 ^ _164396) ^ [_204051] : [aElementOf0(_204051, slbdtsldtrb0(xS, xk)), -(aElementOf0(_204051, slbdtsldtrb0(xT, xk)))], (92 ^ _164396) ^ [_167361, _167363] : [-(isFinite0(_167361)), _167363 = _167361, isFinite0(_167363)], (944 ^ _164396) ^ [_193558, _193560] : [-(szmzizndt0(_193560) = szmzizndt0(_193558)), aElementOf0(szmzizndt0(_193560), _193558), aElementOf0(szmzizndt0(_193558), _193560), aSubsetOf0(_193560, szNzAzT0), aSubsetOf0(_193558, szNzAzT0), -(_193560 = slcrc0), -(_193558 = slcrc0)], (1090 ^ _164396) ^ [_197946] : [aElementOf0(_197946, szNzAzT0), -(sbrdtbr0(slbdtrb0(_197946)) = _197946)], (1199 ^ _164396) ^ [] : [-(aElementOf0(xk, szNzAzT0))], (586 ^ _164396) ^ [] : [-(aElementOf0(sz00, szNzAzT0))], (1225 ^ _164396) ^ [_202314] : [-(aElementOf0(_202314, slbdtsldtrb0(xS, xk))), sbrdtbr0(_202314) = xk, 1228 ^ _164396 : [(1229 ^ _164396) ^ [] : [aSet0(_202314), 1233 ^ _164396 : [(1236 ^ _164396) ^ [] : [aElementOf0(1232 ^ [_202314], xS)], (1234 ^ _164396) ^ [] : [-(aElementOf0(1232 ^ [_202314], _202314))]]], (1238 ^ _164396) ^ [] : [aSubsetOf0(_202314, xS)]]], (584 ^ _164396) ^ [] : [-(isCountable0(szNzAzT0))], (647 ^ _164396) ^ [_184654] : [aElementOf0(_184654, szNzAzT0), -(sdtlseqdt0(sz00, _184654))], (526 ^ _164396) ^ [_181031] : [aElement0(_181031), 529 ^ _164396 : [(530 ^ _164396) ^ [_181168] : [-(isCountable0(sdtpldt0(_181168, _181031))), aSet0(_181168), isCountable0(_181168)]]], (1031 ^ _164396) ^ [_196256, _196258] : [aElementOf0(_196258, szNzAzT0), aElementOf0(_196256, szNzAzT0), 1038 ^ _164396 : [(1039 ^ _164396) ^ [] : [aElementOf0(_196258, slbdtrb0(szszuzczcdt0(_196256))), -(aElementOf0(_196258, slbdtrb0(_196256))), -(_196258 = _196256)], (1049 ^ _164396) ^ [] : [1050 ^ _164396 : [(1053 ^ _164396) ^ [] : [_196258 = _196256], (1051 ^ _164396) ^ [] : [aElementOf0(_196258, slbdtrb0(_196256))]], -(aElementOf0(_196258, slbdtrb0(szszuzczcdt0(_196256))))]]], (1077 ^ _164396) ^ [_197532] : [1085 ^ _164396 : [(1088 ^ _164396) ^ [] : [-(aSubsetOf0(_197532, slbdtrb0(1084 ^ [_197532])))], (1086 ^ _164396) ^ [] : [-(aElementOf0(1084 ^ [_197532], szNzAzT0))]], aSubsetOf0(_197532, szNzAzT0), isFinite0(_197532)], (44 ^ _164396) ^ [_165911, _165913, _165915, _165917] : [-(sdtlseqdt0(_165915, _165911)), sdtlseqdt0(_165917, _165913), _165917 = _165915, _165913 = _165911], (1305 ^ _164396) ^ [_204836] : [-(aElementOf0(_204836, slbdtsldtrb0(xS, xk))), sbrdtbr0(_204836) = xk, 1308 ^ _164396 : [(1309 ^ _164396) ^ [] : [aSet0(_204836), 1313 ^ _164396 : [(1316 ^ _164396) ^ [] : [aElementOf0(1312 ^ [_204836], xS)], (1314 ^ _164396) ^ [] : [-(aElementOf0(1312 ^ [_204836], _204836))]]], (1318 ^ _164396) ^ [] : [aSubsetOf0(_204836, xS)]]], (731 ^ _164396) ^ [_187085, _187087] : [aElementOf0(_187087, szNzAzT0), aElementOf0(_187085, szNzAzT0), -(sdtlseqdt0(_187087, _187085)), -(sdtlseqdt0(szszuzczcdt0(_187085), _187087))], (126 ^ _164396) ^ [_168487, _168489, _168491, _168493] : [-(sdtmndt0(_168493, _168489) = sdtmndt0(_168491, _168487)), _168493 = _168491, _168489 = _168487], (68 ^ _164396) ^ [_166650, _166652, _166654, _166656] : [-(aSubsetOf0(_166654, _166650)), aSubsetOf0(_166656, _166652), _166656 = _166654, _166652 = _166650], (136 ^ _164396) ^ [_168818, _168820] : [_168820 = _168818, -(szmzazxdt0(_168820) = szmzazxdt0(_168818))], (839 ^ _164396) ^ [_190175] : [aSet0(_190175), 842 ^ _164396 : [(843 ^ _164396) ^ [_190315] : [-(sdtlseqdt0(sbrdtbr0(_190315), sbrdtbr0(_190175))), isFinite0(_190175), aSubsetOf0(_190315, _190175)]]], (342 ^ _164396) ^ [_175096, _175098, _175100] : [aSet0(_175100), aSet0(_175098), aSet0(_175096), -(aSubsetOf0(_175100, _175096)), aSubsetOf0(_175100, _175098), aSubsetOf0(_175098, _175096)], (324 ^ _164396) ^ [_174607, _174609] : [aSet0(_174609), aSet0(_174607), -(_174609 = _174607), aSubsetOf0(_174609, _174607), aSubsetOf0(_174607, _174609)], (1327 ^ _164396) ^ [] : [slbdtsldtrb0(xS, xk) = slcrc0], (1341 ^ _164396) ^ [] : [-(sbrdtbr0(xQ) = xk)], (1329 ^ _164396) ^ [] : [-(aElementOf0(xx, xS))], (970 ^ _164396) ^ [_194225] : [aElementOf0(_194225, szNzAzT0), 973 ^ _164396 : [(974 ^ _164396) ^ [_194413] : [_194413 = slbdtrb0(_194225), 977 ^ _164396 : [(988 ^ _164396) ^ [_194916] : [-(aElementOf0(_194916, _194413)), aElementOf0(_194916, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_194916), _194225)], (980 ^ _164396) ^ [_194663] : [aElementOf0(_194663, _194413), 983 ^ _164396 : [(986 ^ _164396) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_194663), _194225))], (984 ^ _164396) ^ [] : [-(aElementOf0(_194663, szNzAzT0))]]], (978 ^ _164396) ^ [] : [-(aSet0(_194413))]]], (998 ^ _164396) ^ [_195194] : [-(_195194 = slbdtrb0(_194225)), aSet0(_195194), 1014 ^ _164396 : [(1019 ^ _164396) ^ [] : [aElementOf0(1003 ^ [_194225, _195194], _195194)], (1017 ^ _164396) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(1003 ^ [_194225, _195194]), _194225))], (1015 ^ _164396) ^ [] : [-(aElementOf0(1003 ^ [_194225, _195194], szNzAzT0))]], 1006 ^ _164396 : [(1009 ^ _164396) ^ [] : [aElementOf0(1003 ^ [_194225, _195194], szNzAzT0), sdtlseqdt0(szszuzczcdt0(1003 ^ [_194225, _195194]), _194225)], (1007 ^ _164396) ^ [] : [-(aElementOf0(1003 ^ [_194225, _195194], _195194))]]]]], (629 ^ _164396) ^ [_184204, _184206] : [aElementOf0(_184206, szNzAzT0), aElementOf0(_184204, szNzAzT0), sdtlseqdt0(_184206, _184204), true___, -(true___)], (1333 ^ _164396) ^ [_205677] : [aElementOf0(_205677, xQ), -(aElementOf0(_205677, xS))], (1325 ^ _164396) ^ [] : [-(aElementOf0(1323 ^ [], slbdtsldtrb0(xS, xk)))], (685 ^ _164396) ^ [_185796] : [aElementOf0(_185796, szNzAzT0), -(sdtlseqdt0(_185796, _185796))], (1201 ^ _164396) ^ [] : [-(aSet0(xS))], (4 ^ _164396) ^ [_164627, _164629] : [_164629 = _164627, -(_164627 = _164629)], (709 ^ _164396) ^ [_186493, _186495, _186497] : [aElementOf0(_186497, szNzAzT0), aElementOf0(_186495, szNzAzT0), aElementOf0(_186493, szNzAzT0), -(sdtlseqdt0(_186497, _186493)), sdtlseqdt0(_186497, _186495), sdtlseqdt0(_186495, _186493)], (186 ^ _164396) ^ [_170518] : [aElement0(_170518), true___, -(true___)], (1244 ^ _164396) ^ [] : [-(aSet0(slbdtsldtrb0(xT, xk)))], (775 ^ _164396) ^ [_188314] : [aSet0(_188314), 778 ^ _164396 : [(785 ^ _164396) ^ [] : [isFinite0(_188314), -(aElementOf0(sbrdtbr0(_188314), szNzAzT0))], (779 ^ _164396) ^ [] : [aElementOf0(sbrdtbr0(_188314), szNzAzT0), -(isFinite0(_188314))]]], (20 ^ _164396) ^ [_165172, _165174, _165176, _165178] : [-(iLess0(_165176, _165172)), iLess0(_165178, _165174), _165178 = _165176, _165174 = _165172], (102 ^ _164396) ^ [_167664, _167666, _167668, _167670] : [-(aElementOf0(_167668, _167664)), aElementOf0(_167670, _167666), _167670 = _167668, _167666 = _167664], (10 ^ _164396) ^ [_164831, _164833, _164835] : [-(_164835 = _164831), _164835 = _164833, _164833 = _164831], (34 ^ _164396) ^ [_165588, _165590] : [-(aElement0(_165588)), _165590 = _165588, aElement0(_165590)], (763 ^ _164396) ^ [_187930] : [aElementOf0(_187930, szNzAzT0), -(iLess0(_187930, szszuzczcdt0(_187930)))], (116 ^ _164396) ^ [_168128, _168130, _168132, _168134] : [-(sdtpldt0(_168134, _168130) = sdtpldt0(_168132, _168128)), _168134 = _168132, _168130 = _168128], (206 ^ _164396) ^ [_171104] : [aSet0(_171104), isFinite0(_171104), true___, -(true___)], (596 ^ _164396) ^ [_183194, _183196] : [aElementOf0(_183196, szNzAzT0), aElementOf0(_183194, szNzAzT0), szszuzczcdt0(_183196) = szszuzczcdt0(_183194), -(_183196 = _183194)], (623 ^ _164396) ^ [_183995] : [aElementOf0(_183995, szNzAzT0), _183995 = szszuzczcdt0(_183995)], (679 ^ _164396) ^ [_185602] : [aElementOf0(_185602, szNzAzT0), -(sdtlseqdt0(_185602, szszuzczcdt0(_185602)))], (1203 ^ _164396) ^ [] : [-(aSet0(xT))], (220 ^ _164396) ^ [_171474] : [_171474 = slcrc0, 223 ^ _164396 : [(226 ^ _164396) ^ [_171655] : [aElementOf0(_171655, _171474)], (224 ^ _164396) ^ [] : [-(aSet0(_171474))]]], (1289 ^ _164396) ^ [_204314] : [aElementOf0(_204314, slbdtsldtrb0(xS, xk)), 1292 ^ _164396 : [(1301 ^ _164396) ^ [] : [-(aSubsetOf0(_204314, xS))], (1303 ^ _164396) ^ [] : [-(sbrdtbr0(_204314) = xk)], (1295 ^ _164396) ^ [_204549] : [aElementOf0(_204549, _204314), -(aElementOf0(_204549, xS))], (1293 ^ _164396) ^ [] : [-(aSet0(_204314))]]], (275 ^ _164396) ^ [_172988] : [aSet0(_172988), 278 ^ _164396 : [(291 ^ _164396) ^ [_173552] : [-(aSubsetOf0(_173552, _172988)), aSet0(_173552), 297 ^ _164396 : [(300 ^ _164396) ^ [] : [aElementOf0(296 ^ [_172988, _173552], _172988)], (298 ^ _164396) ^ [] : [-(aElementOf0(296 ^ [_172988, _173552], _173552))]]], (279 ^ _164396) ^ [_173164] : [aSubsetOf0(_173164, _172988), 282 ^ _164396 : [(285 ^ _164396) ^ [_173373] : [aElementOf0(_173373, _173164), -(aElementOf0(_173373, _172988))], (283 ^ _164396) ^ [] : [-(aSet0(_173164))]]]]], (176 ^ _164396) ^ [_170263] : [aSet0(_170263), true___, -(true___)], (228 ^ _164396) ^ [_171723] : [-(_171723 = slcrc0), aSet0(_171723), -(aElementOf0(233 ^ [_171723], _171723))], (160 ^ _164396) ^ [_169718, _169720, _169722, _169724] : [-(slbdtsldtrb0(_169724, _169720) = slbdtsldtrb0(_169722, _169718)), _169724 = _169722, _169720 = _169718], (170 ^ _164396) ^ [_170029, _170031] : [_170031 = _170029, -(sbrdtbr0(_170031) = sbrdtbr0(_170029))], (318 ^ _164396) ^ [_174405] : [aSet0(_174405), -(aSubsetOf0(_174405, _174405))], (1167 ^ _164396) ^ [_200525] : [aSet0(_200525), -(isFinite0(_200525)), 1174 ^ _164396 : [(1175 ^ _164396) ^ [_200747] : [aElementOf0(_200747, szNzAzT0), slbdtsldtrb0(_200525, _200747) = slcrc0]]], (502 ^ _164396) ^ [_180278] : [aSet0(_180278), 505 ^ _164396 : [(506 ^ _164396) ^ [_180415] : [aElementOf0(_180415, _180278), -(sdtpldt0(sdtmndt0(_180278, _180415), _180415) = _180278)]]], (1331 ^ _164396) ^ [] : [-(aSet0(xQ))], (791 ^ _164396) ^ [_188745] : [aSet0(_188745), 794 ^ _164396 : [(801 ^ _164396) ^ [] : [_188745 = slcrc0, -(sbrdtbr0(_188745) = sz00)], (795 ^ _164396) ^ [] : [sbrdtbr0(_188745) = sz00, -(_188745 = slcrc0)]]], (1209 ^ _164396) ^ [_201792] : [aElementOf0(_201792, slbdtsldtrb0(xS, xk)), 1212 ^ _164396 : [(1221 ^ _164396) ^ [] : [-(aSubsetOf0(_201792, xS))], (1223 ^ _164396) ^ [] : [-(sbrdtbr0(_201792) = xk)], (1215 ^ _164396) ^ [_202027] : [aElementOf0(_202027, _201792), -(aElementOf0(_202027, xS))], (1213 ^ _164396) ^ [] : [-(aSet0(_201792))]]], (1057 ^ _164396) ^ [_196983, _196985] : [aElementOf0(_196985, szNzAzT0), aElementOf0(_196983, szNzAzT0), 1064 ^ _164396 : [(1071 ^ _164396) ^ [] : [aSubsetOf0(slbdtrb0(_196985), slbdtrb0(_196983)), -(sdtlseqdt0(_196985, _196983))], (1065 ^ _164396) ^ [] : [sdtlseqdt0(_196985, _196983), -(aSubsetOf0(slbdtrb0(_196985), slbdtrb0(_196983)))]]], (148 ^ _164396) ^ [_169254, _169256] : [_169256 = _169254, -(szszuzczcdt0(_169256) = szszuzczcdt0(_169254))], (853 ^ _164396) ^ [_190627, _190629] : [aSet0(_190629), aElementOf0(_190627, szNzAzT0), 869 ^ _164396 : [(872 ^ _164396) ^ [] : [-(sbrdtbr0(868 ^ [_190627, _190629]) = _190627)], (870 ^ _164396) ^ [] : [-(aSubsetOf0(868 ^ [_190627, _190629], _190629))]], isFinite0(_190629), sdtlseqdt0(_190627, sbrdtbr0(_190629))], (364 ^ _164396) ^ [_175682, _175684] : [aSet0(_175684), aElement0(_175682), 371 ^ _164396 : [(372 ^ _164396) ^ [_175963] : [_175963 = sdtpldt0(_175684, _175682), 375 ^ _164396 : [(390 ^ _164396) ^ [_176581] : [-(aElementOf0(_176581, _175963)), aElement0(_176581), 395 ^ _164396 : [(398 ^ _164396) ^ [] : [_176581 = _175682], (396 ^ _164396) ^ [] : [aElementOf0(_176581, _175684)]]], (378 ^ _164396) ^ [_176226] : [aElementOf0(_176226, _175963), 381 ^ _164396 : [(384 ^ _164396) ^ [] : [-(aElementOf0(_176226, _175684)), -(_176226 = _175682)], (382 ^ _164396) ^ [] : [-(aElement0(_176226))]]], (376 ^ _164396) ^ [] : [-(aSet0(_175963))]]], (402 ^ _164396) ^ [_176943] : [-(_176943 = sdtpldt0(_175684, _175682)), aSet0(_176943), 410 ^ _164396 : [(413 ^ _164396) ^ [] : [aElement0(407 ^ [_175682, _175684, _176943]), 416 ^ _164396 : [(419 ^ _164396) ^ [] : [407 ^ [_175682, _175684, _176943] = _175682], (417 ^ _164396) ^ [] : [aElementOf0(407 ^ [_175682, _175684, _176943], _175684)]]], (411 ^ _164396) ^ [] : [-(aElementOf0(407 ^ [_175682, _175684, _176943], _176943))]], 420 ^ _164396 : [(423 ^ _164396) ^ [] : [-(aElementOf0(407 ^ [_175682, _175684, _176943], _175684)), -(407 ^ [_175682, _175684, _176943] = _175682)], (421 ^ _164396) ^ [] : [-(aElement0(407 ^ [_175682, _175684, _176943]))], (429 ^ _164396) ^ [] : [aElementOf0(407 ^ [_175682, _175684, _176943], _176943)]]]]], (554 ^ _164396) ^ [_181889] : [aElement0(_181889), 557 ^ _164396 : [(558 ^ _164396) ^ [_182026] : [-(isFinite0(sdtpldt0(_182026, _181889))), aSet0(_182026), isFinite0(_182026)]]], (691 ^ _164396) ^ [_186000, _186002] : [aElementOf0(_186002, szNzAzT0), aElementOf0(_186000, szNzAzT0), -(_186002 = _186000), sdtlseqdt0(_186002, _186000), sdtlseqdt0(_186000, _186002)], (1205 ^ _164396) ^ [] : [xk = sz00], (1345 ^ _164396) ^ [] : [-(aSet0(xQ))], (1343 ^ _164396) ^ [] : [-(aElementOf0(xQ, slbdtsldtrb0(xS, xk)))], (1096 ^ _164396) ^ [_198158, _198160] : [aSet0(_198160), aElementOf0(_198158, szNzAzT0), 1103 ^ _164396 : [(1104 ^ _164396) ^ [_198438] : [_198438 = slbdtsldtrb0(_198160, _198158), 1107 ^ _164396 : [(1118 ^ _164396) ^ [_198961] : [-(aElementOf0(_198961, _198438)), aSubsetOf0(_198961, _198160), sbrdtbr0(_198961) = _198158], (1110 ^ _164396) ^ [_198698] : [aElementOf0(_198698, _198438), 1113 ^ _164396 : [(1116 ^ _164396) ^ [] : [-(sbrdtbr0(_198698) = _198158)], (1114 ^ _164396) ^ [] : [-(aSubsetOf0(_198698, _198160))]]], (1108 ^ _164396) ^ [] : [-(aSet0(_198438))]]], (1128 ^ _164396) ^ [_199251] : [-(_199251 = slbdtsldtrb0(_198160, _198158)), aSet0(_199251), 1144 ^ _164396 : [(1149 ^ _164396) ^ [] : [aElementOf0(1133 ^ [_198158, _198160, _199251], _199251)], (1147 ^ _164396) ^ [] : [-(sbrdtbr0(1133 ^ [_198158, _198160, _199251]) = _198158)], (1145 ^ _164396) ^ [] : [-(aSubsetOf0(1133 ^ [_198158, _198160, _199251], _198160))]], 1136 ^ _164396 : [(1139 ^ _164396) ^ [] : [aSubsetOf0(1133 ^ [_198158, _198160, _199251], _198160), sbrdtbr0(1133 ^ [_198158, _198160, _199251]) = _198158], (1137 ^ _164396) ^ [] : [-(aElementOf0(1133 ^ [_198158, _198160, _199251], _199251))]]]]], (1262 ^ _164396) ^ [_203480] : [-(aElementOf0(_203480, slbdtsldtrb0(xT, xk))), sbrdtbr0(_203480) = xk, 1265 ^ _164396 : [(1266 ^ _164396) ^ [] : [aSet0(_203480), 1270 ^ _164396 : [(1273 ^ _164396) ^ [] : [aElementOf0(1269 ^ [_203480], xT)], (1271 ^ _164396) ^ [] : [-(aElementOf0(1269 ^ [_203480], _203480))]]], (1275 ^ _164396) ^ [] : [aSubsetOf0(_203480, xT)]]], (769 ^ _164396) ^ [_188124] : [aSet0(_188124), -(aElement0(sbrdtbr0(_188124)))], (825 ^ _164396) ^ [_189722] : [aSet0(_189722), 828 ^ _164396 : [(829 ^ _164396) ^ [_189867] : [-(szszuzczcdt0(sbrdtbr0(sdtmndt0(_189722, _189867))) = sbrdtbr0(_189722)), isFinite0(_189722), aElementOf0(_189867, _189722)]]], (1339 ^ _164396) ^ [] : [-(aSubsetOf0(xQ, xS))], (1207 ^ _164396) ^ [] : [-(aSet0(slbdtsldtrb0(xS, xk)))], (874 ^ _164396) ^ [_191243] : [aSubsetOf0(_191243, szNzAzT0), -(_191243 = slcrc0), 881 ^ _164396 : [(894 ^ _164396) ^ [_191906] : [-(_191906 = szmzizndt0(_191243)), aElementOf0(_191906, _191243), 900 ^ _164396 : [(903 ^ _164396) ^ [] : [sdtlseqdt0(_191906, 899 ^ [_191243, _191906])], (901 ^ _164396) ^ [] : [-(aElementOf0(899 ^ [_191243, _191906], _191243))]]], (882 ^ _164396) ^ [_191512] : [_191512 = szmzizndt0(_191243), 885 ^ _164396 : [(888 ^ _164396) ^ [_191727] : [aElementOf0(_191727, _191243), -(sdtlseqdt0(_191512, _191727))], (886 ^ _164396) ^ [] : [-(aElementOf0(_191512, _191243))]]]]], (1347 ^ _164396) ^ [] : [-(isFinite0(xQ))], (1181 ^ _164396) ^ [_200959] : [aSet0(_200959), isCountable0(_200959), 1188 ^ _164396 : [(1189 ^ _164396) ^ [_201183] : [-(isCountable0(slbdtsldtrb0(_200959, _201183))), aElementOf0(_201183, szNzAzT0), -(_201183 = sz00)]]], (265 ^ _164396) ^ [_172716] : [_172716 = slcrc0, aSet0(_172716), isCountable0(_172716)], (239 ^ _164396) ^ [] : [-(isFinite0(slcrc0))], (512 ^ _164396) ^ [_180644, _180646] : [aElement0(_180646), aSet0(_180644), -(aElementOf0(_180646, _180644)), -(sdtmndt0(sdtpldt0(_180644, _180646), _180646) = _180644)], (653 ^ _164396) ^ [_184844] : [aElementOf0(_184844, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_184844), sz00)], (1287 ^ _164396) ^ [] : [-(aSubsetOf0(slbdtsldtrb0(xS, xk), slbdtsldtrb0(xT, xk)))], (241 ^ _164396) ^ [_172105] : [aSet0(_172105), isCountable0(_172105), true___, -(true___)], (142 ^ _164396) ^ [_169036, _169038] : [_169038 = _169036, -(szmzizndt0(_169038) = szmzizndt0(_169036))], (1023 ^ _164396) ^ [_195997] : [aElementOf0(_195997, szNzAzT0), -(isFinite0(slbdtrb0(_195997)))], (540 ^ _164396) ^ [_181460] : [aElement0(_181460), 543 ^ _164396 : [(544 ^ _164396) ^ [_181597] : [-(isCountable0(sdtmndt0(_181597, _181460))), aSet0(_181597), isCountable0(_181597)]]], (154 ^ _164396) ^ [_169472, _169474] : [_169474 = _169472, -(slbdtrb0(_169474) = slbdtrb0(_169472))], (196 ^ _164396) ^ [_170773] : [aSet0(_170773), 199 ^ _164396 : [(200 ^ _164396) ^ [_170903] : [aElementOf0(_170903, _170773), -(aElement0(_170903))]]], (907 ^ _164396) ^ [_192351] : [aSubsetOf0(_192351, szNzAzT0), isFinite0(_192351), -(_192351 = slcrc0), 918 ^ _164396 : [(931 ^ _164396) ^ [_193097] : [-(_193097 = szmzazxdt0(_192351)), aElementOf0(_193097, _192351), 937 ^ _164396 : [(940 ^ _164396) ^ [] : [sdtlseqdt0(936 ^ [_192351, _193097], _193097)], (938 ^ _164396) ^ [] : [-(aElementOf0(936 ^ [_192351, _193097], _192351))]]], (919 ^ _164396) ^ [_192703] : [_192703 = szmzazxdt0(_192351), 922 ^ _164396 : [(925 ^ _164396) ^ [_192918] : [aElementOf0(_192918, _192351), -(sdtlseqdt0(_192918, _192703))], (923 ^ _164396) ^ [] : [-(aElementOf0(_192703, _192351))]]]]], (1153 ^ _164396) ^ [_200100] : [aSet0(_200100), isFinite0(_200100), 1160 ^ _164396 : [(1161 ^ _164396) ^ [_200316] : [aElementOf0(_200316, szNzAzT0), -(isFinite0(slbdtsldtrb0(_200100, _200316)))]]], (1029 ^ _164396) ^ [] : [-(slbdtrb0(sz00) = slcrc0)], (433 ^ _164396) ^ [_177980, _177982] : [aSet0(_177982), aElement0(_177980), 440 ^ _164396 : [(441 ^ _164396) ^ [_178263] : [_178263 = sdtmndt0(_177982, _177980), 444 ^ _164396 : [(457 ^ _164396) ^ [_178864] : [-(aElementOf0(_178864, _178263)), aElement0(_178864), aElementOf0(_178864, _177982), -(_178864 = _177980)], (447 ^ _164396) ^ [_178528] : [aElementOf0(_178528, _178263), 450 ^ _164396 : [(455 ^ _164396) ^ [] : [_178528 = _177980], (453 ^ _164396) ^ [] : [-(aElementOf0(_178528, _177982))], (451 ^ _164396) ^ [] : [-(aElement0(_178528))]]], (445 ^ _164396) ^ [] : [-(aSet0(_178263))]]], (471 ^ _164396) ^ [_179248] : [-(_179248 = sdtmndt0(_177982, _177980)), aSet0(_179248), 491 ^ _164396 : [(494 ^ _164396) ^ [] : [-(aElementOf0(476 ^ [_177980, _177982, _179248], _177982))], (496 ^ _164396) ^ [] : [476 ^ [_177980, _177982, _179248] = _177980], (498 ^ _164396) ^ [] : [aElementOf0(476 ^ [_177980, _177982, _179248], _179248)], (492 ^ _164396) ^ [] : [-(aElement0(476 ^ [_177980, _177982, _179248]))]], 479 ^ _164396 : [(482 ^ _164396) ^ [] : [aElement0(476 ^ [_177980, _177982, _179248]), aElementOf0(476 ^ [_177980, _177982, _179248], _177982), -(476 ^ [_177980, _177982, _179248] = _177980)], (480 ^ _164396) ^ [] : [-(aElementOf0(476 ^ [_177980, _177982, _179248], _179248))]]]]], (745 ^ _164396) ^ [_187480, _187482] : [aElementOf0(_187482, szNzAzT0), aElementOf0(_187480, szNzAzT0), iLess0(_187482, _187480), true___, -(true___)]], input).
% 69.70/67.66 ncf('1',plain,[-(xQ = slcrc0)],start(1353 ^ 0)).
% 69.70/67.66 ncf('1.1',plain,[xQ = slcrc0, 801 : -(sbrdtbr0(xQ) = sz00), 801 : aSet0(xQ)],extension(791 ^ 1,bind([[_188745], [xQ]]))).
% 69.70/67.66 ncf('1.1.1',plain,[sbrdtbr0(xQ) = sz00, -(sz00 = sbrdtbr0(xQ))],extension(4 ^ 4,bind([[_164627, _164629], [sz00, sbrdtbr0(xQ)]]))).
% 69.70/67.66 ncf('1.1.1.1',plain,[sz00 = sbrdtbr0(xQ), -(sz00 = xk), sbrdtbr0(xQ) = xk],extension(10 ^ 5,bind([[_164831, _164833, _164835], [xk, sbrdtbr0(xQ), sz00]]))).
% 69.70/67.66 ncf('1.1.1.1.1',plain,[sz00 = xk, -(xk = sz00)],extension(4 ^ 6,bind([[_164627, _164629], [xk, sz00]]))).
% 69.70/67.66 ncf('1.1.1.1.1.1',plain,[xk = sz00],extension(1205 ^ 7)).
% 69.70/67.66 ncf('1.1.1.1.2',plain,[-(sbrdtbr0(xQ) = xk)],extension(1349 ^ 6)).
% 69.70/67.66 ncf('1.1.2',plain,[-(aSet0(xQ)), aElementOf0(xQ, slbdtsldtrb0(xT, xk))],extension(1246 ^ 2,bind([[_202958], [xQ]]))).
% 69.70/67.66 ncf('1.1.2.1',plain,[-(aElementOf0(xQ, slbdtsldtrb0(xT, xk))), aElementOf0(xQ, slbdtsldtrb0(xS, xk))],extension(1281 ^ 3,bind([[_204051], [xQ]]))).
% 69.70/67.66 ncf('1.1.2.1.1',plain,[-(aElementOf0(xQ, slbdtsldtrb0(xS, xk))), sbrdtbr0(xQ) = xk, 1238 : aSubsetOf0(xQ, xS)],extension(1225 ^ 4,bind([[_202314], [xQ]]))).
% 69.70/67.66 ncf('1.1.2.1.1.1',plain,[-(sbrdtbr0(xQ) = xk)],extension(1349 ^ 5)).
% 69.70/67.66 ncf('1.1.2.1.1.2',plain,[-(aSubsetOf0(xQ, xS))],extension(1339 ^ 7)).
% 69.70/67.66 %-----------------------------------------------------
% 69.70/67.66 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------