TSTP Solution File: NUM558+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM558+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n009.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 43.43s 42.83s
% Output : Proof 43.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM558+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : nanocop.sh %s %d
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 18 17:46:48 EDT 2023
% 0.14/0.36 % CPUTime :
% 43.43/42.83
% 43.43/42.83 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.43/42.83 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.43/42.83 %-----------------------------------------------------
% 43.43/42.83 ncf(matrix, plain, [(1425 ^ _216889) ^ [] : [aElementOf0(xx, xT)], !, (255 ^ _172515) ^ [_180565] : [isFinite0(_180565), aSet0(_180565), isCountable0(_180565)], (1333 ^ _172515) ^ [_213796] : [aElementOf0(_213796, xQ), -(aElementOf0(_213796, xS))], (265 ^ _172515) ^ [_180835] : [_180835 = slcrc0, aSet0(_180835), isCountable0(_180835)], (775 ^ _172515) ^ [_196433] : [aSet0(_196433), 778 ^ _172515 : [(785 ^ _172515) ^ [] : [isFinite0(_196433), -(aElementOf0(sbrdtbr0(_196433), szNzAzT0))], (779 ^ _172515) ^ [] : [aElementOf0(sbrdtbr0(_196433), szNzAzT0), -(isFinite0(_196433))]]], (1421 ^ _172515) ^ [] : [-(sbrdtbr0(xP) = xk)], (220 ^ _172515) ^ [_179593] : [_179593 = slcrc0, 223 ^ _172515 : [(226 ^ _172515) ^ [_179774] : [aElementOf0(_179774, _179593)], (224 ^ _172515) ^ [] : [-(aSet0(_179593))]]], (1203 ^ _172515) ^ [] : [-(aSet0(xT))], (588 ^ _172515) ^ [_191027] : [aElementOf0(_191027, szNzAzT0), 591 ^ _172515 : [(594 ^ _172515) ^ [] : [szszuzczcdt0(_191027) = sz00], (592 ^ _172515) ^ [] : [-(aElementOf0(szszuzczcdt0(_191027), szNzAzT0))]]], (582 ^ _172515) ^ [] : [-(aSet0(szNzAzT0))], (1181 ^ _172515) ^ [_209078] : [aSet0(_209078), isCountable0(_209078), 1188 ^ _172515 : [(1189 ^ _172515) ^ [_209302] : [-(isCountable0(slbdtsldtrb0(_209078, _209302))), aElementOf0(_209302, szNzAzT0), -(_209302 = sz00)]]], (58 ^ _172515) ^ [_174446, _174448] : [-(isFinite0(_174446)), _174448 = _174446, isFinite0(_174448)], (1419 ^ _172515) ^ [] : [-(aSubsetOf0(xP, xS))], (745 ^ _172515) ^ [_195599, _195601] : [aElementOf0(_195601, szNzAzT0), aElementOf0(_195599, szNzAzT0), iLess0(_195601, _195599), true___, -(true___)], (1305 ^ _172515) ^ [_212955] : [-(aElementOf0(_212955, slbdtsldtrb0(xS, xk))), sbrdtbr0(_212955) = xk, 1308 ^ _172515 : [(1309 ^ _172515) ^ [] : [aSet0(_212955), 1313 ^ _172515 : [(1316 ^ _172515) ^ [] : [aElementOf0(1312 ^ [_212955], xS)], (1314 ^ _172515) ^ [] : [-(aElementOf0(1312 ^ [_212955], _212955))]]], (1318 ^ _172515) ^ [] : [aSubsetOf0(_212955, xS)]]], (1355 ^ _172515) ^ [] : [aElementOf0(xx, xQ)], (874 ^ _172515) ^ [_199362] : [aSubsetOf0(_199362, szNzAzT0), -(_199362 = slcrc0), 881 ^ _172515 : [(894 ^ _172515) ^ [_200025] : [-(_200025 = szmzizndt0(_199362)), aElementOf0(_200025, _199362), 900 ^ _172515 : [(903 ^ _172515) ^ [] : [sdtlseqdt0(_200025, 899 ^ [_199362, _200025])], (901 ^ _172515) ^ [] : [-(aElementOf0(899 ^ [_199362, _200025], _199362))]]], (882 ^ _172515) ^ [_199631] : [_199631 = szmzizndt0(_199362), 885 ^ _172515 : [(888 ^ _172515) ^ [_199846] : [aElementOf0(_199846, _199362), -(sdtlseqdt0(_199631, _199846))], (886 ^ _172515) ^ [] : [-(aElementOf0(_199631, _199362))]]]]], (4 ^ _172515) ^ [_172746, _172748] : [_172748 = _172746, -(_172746 = _172748)], (610 ^ _172515) ^ [_191697] : [aElementOf0(_191697, szNzAzT0), -(_191697 = sz00), 618 ^ _172515 : [(621 ^ _172515) ^ [] : [-(_191697 = szszuzczcdt0(617 ^ [_191697]))], (619 ^ _172515) ^ [] : [-(aElementOf0(617 ^ [_191697], szNzAzT0))]]], (1345 ^ _172515) ^ [] : [-(aSet0(xQ))], (1281 ^ _172515) ^ [_212170] : [aElementOf0(_212170, slbdtsldtrb0(xS, xk)), -(aElementOf0(_212170, slbdtsldtrb0(xT, xk)))], (1351 ^ _172515) ^ [] : [-(aElement0(xy))], (763 ^ _172515) ^ [_196049] : [aElementOf0(_196049, szNzAzT0), -(iLess0(_196049, szszuzczcdt0(_196049)))], (324 ^ _172515) ^ [_182726, _182728] : [aSet0(_182728), aSet0(_182726), -(_182728 = _182726), aSubsetOf0(_182728, _182726), aSubsetOf0(_182726, _182728)], (1199 ^ _172515) ^ [] : [-(aElementOf0(xk, szNzAzT0))], (1347 ^ _172515) ^ [] : [-(isFinite0(xQ))], (342 ^ _172515) ^ [_183215, _183217, _183219] : [aSet0(_183219), aSet0(_183217), aSet0(_183215), -(aSubsetOf0(_183219, _183215)), aSubsetOf0(_183219, _183217), aSubsetOf0(_183217, _183215)], (186 ^ _172515) ^ [_178637] : [aElement0(_178637), true___, -(true___)], (1096 ^ _172515) ^ [_206277, _206279] : [aSet0(_206279), aElementOf0(_206277, szNzAzT0), 1103 ^ _172515 : [(1104 ^ _172515) ^ [_206557] : [_206557 = slbdtsldtrb0(_206279, _206277), 1107 ^ _172515 : [(1118 ^ _172515) ^ [_207080] : [-(aElementOf0(_207080, _206557)), aSubsetOf0(_207080, _206279), sbrdtbr0(_207080) = _206277], (1110 ^ _172515) ^ [_206817] : [aElementOf0(_206817, _206557), 1113 ^ _172515 : [(1116 ^ _172515) ^ [] : [-(sbrdtbr0(_206817) = _206277)], (1114 ^ _172515) ^ [] : [-(aSubsetOf0(_206817, _206279))]]], (1108 ^ _172515) ^ [] : [-(aSet0(_206557))]]], (1128 ^ _172515) ^ [_207370] : [-(_207370 = slbdtsldtrb0(_206279, _206277)), aSet0(_207370), 1144 ^ _172515 : [(1149 ^ _172515) ^ [] : [aElementOf0(1133 ^ [_206277, _206279, _207370], _207370)], (1147 ^ _172515) ^ [] : [-(sbrdtbr0(1133 ^ [_206277, _206279, _207370]) = _206277)], (1145 ^ _172515) ^ [] : [-(aSubsetOf0(1133 ^ [_206277, _206279, _207370], _206279))]], 1136 ^ _172515 : [(1139 ^ _172515) ^ [] : [aSubsetOf0(1133 ^ [_206277, _206279, _207370], _206279), sbrdtbr0(1133 ^ [_206277, _206279, _207370]) = _206277], (1137 ^ _172515) ^ [] : [-(aElementOf0(1133 ^ [_206277, _206279, _207370], _207370))]]]]], (1244 ^ _172515) ^ [] : [-(aSet0(slbdtsldtrb0(xT, xk)))], (1399 ^ _172515) ^ [_215672] : [-(aElementOf0(_215672, xP)), aElement0(_215672), 1404 ^ _172515 : [(1407 ^ _172515) ^ [] : [_215672 = xx], (1405 ^ _172515) ^ [] : [aElementOf0(_215672, sdtmndt0(xQ, xy))]]], (1246 ^ _172515) ^ [_211077] : [aElementOf0(_211077, slbdtsldtrb0(xT, xk)), 1249 ^ _172515 : [(1258 ^ _172515) ^ [] : [-(aSubsetOf0(_211077, xT))], (1260 ^ _172515) ^ [] : [-(sbrdtbr0(_211077) = xk)], (1252 ^ _172515) ^ [_211312] : [aElementOf0(_211312, _211077), -(aElementOf0(_211312, xT))], (1250 ^ _172515) ^ [] : [-(aSet0(_211077))]]], (502 ^ _172515) ^ [_188397] : [aSet0(_188397), 505 ^ _172515 : [(506 ^ _172515) ^ [_188534] : [aElementOf0(_188534, _188397), -(sdtpldt0(sdtmndt0(_188397, _188534), _188534) = _188397)]]], (275 ^ _172515) ^ [_181107] : [aSet0(_181107), 278 ^ _172515 : [(291 ^ _172515) ^ [_181671] : [-(aSubsetOf0(_181671, _181107)), aSet0(_181671), 297 ^ _172515 : [(300 ^ _172515) ^ [] : [aElementOf0(296 ^ [_181107, _181671], _181107)], (298 ^ _172515) ^ [] : [-(aElementOf0(296 ^ [_181107, _181671], _181671))]]], (279 ^ _172515) ^ [_181283] : [aSubsetOf0(_181283, _181107), 282 ^ _172515 : [(285 ^ _172515) ^ [_181492] : [aElementOf0(_181492, _181283), -(aElementOf0(_181492, _181107))], (283 ^ _172515) ^ [] : [-(aSet0(_181283))]]]]], (1031 ^ _172515) ^ [_204375, _204377] : [aElementOf0(_204377, szNzAzT0), aElementOf0(_204375, szNzAzT0), 1038 ^ _172515 : [(1039 ^ _172515) ^ [] : [aElementOf0(_204377, slbdtrb0(szszuzczcdt0(_204375))), -(aElementOf0(_204377, slbdtrb0(_204375))), -(_204377 = _204375)], (1049 ^ _172515) ^ [] : [1050 ^ _172515 : [(1053 ^ _172515) ^ [] : [_204377 = _204375], (1051 ^ _172515) ^ [] : [aElementOf0(_204377, slbdtrb0(_204375))]], -(aElementOf0(_204377, slbdtrb0(szszuzczcdt0(_204375))))]]], (1343 ^ _172515) ^ [] : [-(aElementOf0(xQ, slbdtsldtrb0(xS, xk)))], (1353 ^ _172515) ^ [] : [-(aElementOf0(xy, xQ))], (1385 ^ _172515) ^ [] : [-(aSet0(xP))], (196 ^ _172515) ^ [_178892] : [aSet0(_178892), 199 ^ _172515 : [(200 ^ _172515) ^ [_179022] : [aElementOf0(_179022, _178892), -(aElement0(_179022))]]], (1331 ^ _172515) ^ [] : [-(aSet0(xQ))], (647 ^ _172515) ^ [_192773] : [aElementOf0(_192773, szNzAzT0), -(sdtlseqdt0(sz00, _192773))], (1205 ^ _172515) ^ [] : [xk = sz00], (807 ^ _172515) ^ [_197298] : [aSet0(_197298), isFinite0(_197298), 814 ^ _172515 : [(815 ^ _172515) ^ [_197528] : [aElement0(_197528), -(aElementOf0(_197528, _197298)), -(sbrdtbr0(sdtpldt0(_197298, _197528)) = szszuzczcdt0(sbrdtbr0(_197298)))]]], (691 ^ _172515) ^ [_194119, _194121] : [aElementOf0(_194121, szNzAzT0), aElementOf0(_194119, szNzAzT0), -(_194121 = _194119), sdtlseqdt0(_194121, _194119), sdtlseqdt0(_194119, _194121)], (685 ^ _172515) ^ [_193915] : [aElementOf0(_193915, szNzAzT0), -(sdtlseqdt0(_193915, _193915))], (586 ^ _172515) ^ [] : [-(aElementOf0(sz00, szNzAzT0))], (512 ^ _172515) ^ [_188763, _188765] : [aElement0(_188765), aSet0(_188763), -(aElementOf0(_188765, _188763)), -(sdtmndt0(sdtpldt0(_188763, _188765), _188765) = _188763)], (2 ^ _172515) ^ [_172639] : [-(_172639 = _172639)], (1325 ^ _172515) ^ [] : [-(aElementOf0(1323 ^ [], slbdtsldtrb0(xS, xk)))], (1329 ^ _172515) ^ [] : [-(aElementOf0(xx, xS))], (206 ^ _172515) ^ [_179223] : [aSet0(_179223), isFinite0(_179223), true___, -(true___)], (1387 ^ _172515) ^ [_215359] : [aElementOf0(_215359, xP), 1390 ^ _172515 : [(1393 ^ _172515) ^ [] : [-(aElementOf0(_215359, sdtmndt0(xQ, xy))), -(_215359 = xx)], (1391 ^ _172515) ^ [] : [-(aElement0(_215359))]]], (239 ^ _172515) ^ [] : [-(isFinite0(slcrc0))], (596 ^ _172515) ^ [_191313, _191315] : [aElementOf0(_191315, szNzAzT0), aElementOf0(_191313, szNzAzT0), szszuzczcdt0(_191315) = szszuzczcdt0(_191313), -(_191315 = _191313)], (1090 ^ _172515) ^ [_206065] : [aElementOf0(_206065, szNzAzT0), -(sbrdtbr0(slbdtrb0(_206065)) = _206065)], (853 ^ _172515) ^ [_198746, _198748] : [aSet0(_198748), aElementOf0(_198746, szNzAzT0), 869 ^ _172515 : [(872 ^ _172515) ^ [] : [-(sbrdtbr0(868 ^ [_198746, _198748]) = _198746)], (870 ^ _172515) ^ [] : [-(aSubsetOf0(868 ^ [_198746, _198748], _198748))]], isFinite0(_198748), sdtlseqdt0(_198746, sbrdtbr0(_198748))], (1057 ^ _172515) ^ [_205102, _205104] : [aElementOf0(_205104, szNzAzT0), aElementOf0(_205102, szNzAzT0), 1064 ^ _172515 : [(1071 ^ _172515) ^ [] : [aSubsetOf0(slbdtrb0(_205104), slbdtrb0(_205102)), -(sdtlseqdt0(_205104, _205102))], (1065 ^ _172515) ^ [] : [sdtlseqdt0(_205104, _205102), -(aSubsetOf0(slbdtrb0(_205104), slbdtrb0(_205102)))]]], (1423 ^ _172515) ^ [] : [-(aElementOf0(xP, slbdtsldtrb0(xS, xk)))], (554 ^ _172515) ^ [_190008] : [aElement0(_190008), 557 ^ _172515 : [(558 ^ _172515) ^ [_190145] : [-(isFinite0(sdtpldt0(_190145, _190008))), aSet0(_190145), isFinite0(_190145)]]], (122 ^ _172515) ^ [_176437, _176439] : [_176439 = _176437, -(szmzizndt0(_176439) = szmzizndt0(_176437))], (659 ^ _172515) ^ [_193172, _193174] : [aElementOf0(_193174, szNzAzT0), aElementOf0(_193172, szNzAzT0), 666 ^ _172515 : [(673 ^ _172515) ^ [] : [sdtlseqdt0(szszuzczcdt0(_193174), szszuzczcdt0(_193172)), -(sdtlseqdt0(_193174, _193172))], (667 ^ _172515) ^ [] : [sdtlseqdt0(_193174, _193172), -(sdtlseqdt0(szszuzczcdt0(_193174), szszuzczcdt0(_193172)))]]], (1207 ^ _172515) ^ [] : [-(aSet0(slbdtsldtrb0(xS, xk)))], (1349 ^ _172515) ^ [] : [-(sbrdtbr0(xQ) = xk)], (568 ^ _172515) ^ [_190437] : [aElement0(_190437), 571 ^ _172515 : [(572 ^ _172515) ^ [_190574] : [-(isFinite0(sdtmndt0(_190574, _190437))), aSet0(_190574), isFinite0(_190574)]]], (970 ^ _172515) ^ [_202344] : [aElementOf0(_202344, szNzAzT0), 973 ^ _172515 : [(974 ^ _172515) ^ [_202532] : [_202532 = slbdtrb0(_202344), 977 ^ _172515 : [(988 ^ _172515) ^ [_203035] : [-(aElementOf0(_203035, _202532)), aElementOf0(_203035, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_203035), _202344)], (980 ^ _172515) ^ [_202782] : [aElementOf0(_202782, _202532), 983 ^ _172515 : [(986 ^ _172515) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_202782), _202344))], (984 ^ _172515) ^ [] : [-(aElementOf0(_202782, szNzAzT0))]]], (978 ^ _172515) ^ [] : [-(aSet0(_202532))]]], (998 ^ _172515) ^ [_203313] : [-(_203313 = slbdtrb0(_202344)), aSet0(_203313), 1014 ^ _172515 : [(1019 ^ _172515) ^ [] : [aElementOf0(1003 ^ [_202344, _203313], _203313)], (1017 ^ _172515) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(1003 ^ [_202344, _203313]), _202344))], (1015 ^ _172515) ^ [] : [-(aElementOf0(1003 ^ [_202344, _203313], szNzAzT0))]], 1006 ^ _172515 : [(1009 ^ _172515) ^ [] : [aElementOf0(1003 ^ [_202344, _203313], szNzAzT0), sdtlseqdt0(szszuzczcdt0(1003 ^ [_202344, _203313]), _202344)], (1007 ^ _172515) ^ [] : [-(aElementOf0(1003 ^ [_202344, _203313], _203313))]]]]], (1023 ^ _172515) ^ [_204116] : [aElementOf0(_204116, szNzAzT0), -(isFinite0(slbdtrb0(_204116)))], (1225 ^ _172515) ^ [_210433] : [-(aElementOf0(_210433, slbdtsldtrb0(xS, xk))), sbrdtbr0(_210433) = xk, 1228 ^ _172515 : [(1229 ^ _172515) ^ [] : [aSet0(_210433), 1233 ^ _172515 : [(1236 ^ _172515) ^ [] : [aElementOf0(1232 ^ [_210433], xS)], (1234 ^ _172515) ^ [] : [-(aElementOf0(1232 ^ [_210433], _210433))]]], (1238 ^ _172515) ^ [] : [aSubsetOf0(_210433, xS)]]], (176 ^ _172515) ^ [_178382] : [aSet0(_178382), true___, -(true___)], (1077 ^ _172515) ^ [_205651] : [1085 ^ _172515 : [(1088 ^ _172515) ^ [] : [-(aSubsetOf0(_205651, slbdtrb0(1084 ^ [_205651])))], (1086 ^ _172515) ^ [] : [-(aElementOf0(1084 ^ [_205651], szNzAzT0))]], aSubsetOf0(_205651, szNzAzT0), isFinite0(_205651)], (20 ^ _172515) ^ [_173291, _173293, _173295, _173297] : [-(iLess0(_173295, _173291)), iLess0(_173297, _173293), _173297 = _173295, _173293 = _173291], (304 ^ _172515) ^ [_182108] : [aSet0(_182108), isFinite0(_182108), 311 ^ _172515 : [(312 ^ _172515) ^ [_182321] : [aSubsetOf0(_182321, _182108), -(isFinite0(_182321))]]], (134 ^ _172515) ^ [_176873, _176875] : [_176875 = _176873, -(slbdtrb0(_176875) = slbdtrb0(_176873))], (318 ^ _172515) ^ [_182524] : [aSet0(_182524), -(aSubsetOf0(_182524, _182524))], (102 ^ _172515) ^ [_175783, _175785, _175787, _175789] : [-(aElementOf0(_175787, _175783)), aElementOf0(_175789, _175785), _175789 = _175787, _175785 = _175783], (731 ^ _172515) ^ [_195204, _195206] : [aElementOf0(_195206, szNzAzT0), aElementOf0(_195204, szNzAzT0), -(sdtlseqdt0(_195206, _195204)), -(sdtlseqdt0(szszuzczcdt0(_195204), _195206))], (1287 ^ _172515) ^ [] : [-(aSubsetOf0(slbdtsldtrb0(xS, xk), slbdtsldtrb0(xT, xk)))], (839 ^ _172515) ^ [_198294] : [aSet0(_198294), 842 ^ _172515 : [(843 ^ _172515) ^ [_198434] : [-(sdtlseqdt0(sbrdtbr0(_198434), sbrdtbr0(_198294))), isFinite0(_198294), aSubsetOf0(_198434, _198294)]]], (540 ^ _172515) ^ [_189579] : [aElement0(_189579), 543 ^ _172515 : [(544 ^ _172515) ^ [_189716] : [-(isCountable0(sdtmndt0(_189716, _189579))), aSet0(_189716), isCountable0(_189716)]]], (150 ^ _172515) ^ [_177478, _177480, _177482, _177484] : [-(sdtmndt0(_177484, _177480) = sdtmndt0(_177482, _177478)), _177484 = _177482, _177480 = _177478], (679 ^ _172515) ^ [_193721] : [aElementOf0(_193721, szNzAzT0), -(sdtlseqdt0(_193721, szszuzczcdt0(_193721)))], (1201 ^ _172515) ^ [] : [-(aSet0(xS))], (526 ^ _172515) ^ [_189150] : [aElement0(_189150), 529 ^ _172515 : [(530 ^ _172515) ^ [_189287] : [-(isCountable0(sdtpldt0(_189287, _189150))), aSet0(_189287), isCountable0(_189287)]]], (166 ^ _172515) ^ [_178035, _178037, _178039, _178041] : [-(slbdtsldtrb0(_178041, _178037) = slbdtsldtrb0(_178039, _178035)), _178041 = _178039, _178037 = _178035], (68 ^ _172515) ^ [_174741, _174743] : [-(aSet0(_174741)), _174743 = _174741, aSet0(_174743)], (128 ^ _172515) ^ [_176655, _176657] : [_176657 = _176655, -(szszuzczcdt0(_176657) = szszuzczcdt0(_176655))], (791 ^ _172515) ^ [_196864] : [aSet0(_196864), 794 ^ _172515 : [(801 ^ _172515) ^ [] : [_196864 = slcrc0, -(sbrdtbr0(_196864) = sz00)], (795 ^ _172515) ^ [] : [sbrdtbr0(_196864) = sz00, -(_196864 = slcrc0)]]], (825 ^ _172515) ^ [_197841] : [aSet0(_197841), 828 ^ _172515 : [(829 ^ _172515) ^ [_197986] : [-(szszuzczcdt0(sbrdtbr0(sdtmndt0(_197841, _197986))) = sbrdtbr0(_197841)), isFinite0(_197841), aElementOf0(_197986, _197841)]]], (241 ^ _172515) ^ [_180224] : [aSet0(_180224), isCountable0(_180224), true___, -(true___)], (769 ^ _172515) ^ [_196243] : [aSet0(_196243), -(aElement0(sbrdtbr0(_196243)))], (584 ^ _172515) ^ [] : [-(isCountable0(szNzAzT0))], (1327 ^ _172515) ^ [] : [slbdtsldtrb0(xS, xk) = slcrc0], (1371 ^ _172515) ^ [_214914] : [-(aElementOf0(_214914, sdtmndt0(xQ, xy))), aElement0(_214914), aElementOf0(_214914, xQ), -(_214914 = xy)], (228 ^ _172515) ^ [_179842] : [-(_179842 = slcrc0), aSet0(_179842), -(aElementOf0(233 ^ [_179842], _179842))], (1029 ^ _172515) ^ [] : [-(slbdtrb0(sz00) = slcrc0)], (160 ^ _172515) ^ [_177809, _177811] : [_177811 = _177809, -(sbrdtbr0(_177811) = sbrdtbr0(_177809))], (1359 ^ _172515) ^ [] : [-(aSet0(sdtmndt0(xQ, xy)))], (364 ^ _172515) ^ [_183801, _183803] : [aSet0(_183803), aElement0(_183801), 371 ^ _172515 : [(372 ^ _172515) ^ [_184082] : [_184082 = sdtpldt0(_183803, _183801), 375 ^ _172515 : [(390 ^ _172515) ^ [_184700] : [-(aElementOf0(_184700, _184082)), aElement0(_184700), 395 ^ _172515 : [(398 ^ _172515) ^ [] : [_184700 = _183801], (396 ^ _172515) ^ [] : [aElementOf0(_184700, _183803)]]], (378 ^ _172515) ^ [_184345] : [aElementOf0(_184345, _184082), 381 ^ _172515 : [(384 ^ _172515) ^ [] : [-(aElementOf0(_184345, _183803)), -(_184345 = _183801)], (382 ^ _172515) ^ [] : [-(aElement0(_184345))]]], (376 ^ _172515) ^ [] : [-(aSet0(_184082))]]], (402 ^ _172515) ^ [_185062] : [-(_185062 = sdtpldt0(_183803, _183801)), aSet0(_185062), 410 ^ _172515 : [(413 ^ _172515) ^ [] : [aElement0(407 ^ [_183801, _183803, _185062]), 416 ^ _172515 : [(419 ^ _172515) ^ [] : [407 ^ [_183801, _183803, _185062] = _183801], (417 ^ _172515) ^ [] : [aElementOf0(407 ^ [_183801, _183803, _185062], _183803)]]], (411 ^ _172515) ^ [] : [-(aElementOf0(407 ^ [_183801, _183803, _185062], _185062))]], 420 ^ _172515 : [(423 ^ _172515) ^ [] : [-(aElementOf0(407 ^ [_183801, _183803, _185062], _183803)), -(407 ^ [_183801, _183803, _185062] = _183801)], (421 ^ _172515) ^ [] : [-(aElement0(407 ^ [_183801, _183803, _185062]))], (429 ^ _172515) ^ [] : [aElementOf0(407 ^ [_183801, _183803, _185062], _185062)]]]]], (88 ^ _172515) ^ [_175359, _175361, _175363, _175365] : [-(aSubsetOf0(_175363, _175359)), aSubsetOf0(_175365, _175361), _175365 = _175363, _175361 = _175359], (116 ^ _172515) ^ [_176219, _176221] : [_176221 = _176219, -(szmzazxdt0(_176221) = szmzazxdt0(_176219))], (709 ^ _172515) ^ [_194612, _194614, _194616] : [aElementOf0(_194616, szNzAzT0), aElementOf0(_194614, szNzAzT0), aElementOf0(_194612, szNzAzT0), -(sdtlseqdt0(_194616, _194612)), sdtlseqdt0(_194616, _194614), sdtlseqdt0(_194614, _194612)], (1357 ^ _172515) ^ [] : [aElementOf0(xx, xQ)], (653 ^ _172515) ^ [_192963] : [aElementOf0(_192963, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_192963), sz00)], (1262 ^ _172515) ^ [_211599] : [-(aElementOf0(_211599, slbdtsldtrb0(xT, xk))), sbrdtbr0(_211599) = xk, 1265 ^ _172515 : [(1266 ^ _172515) ^ [] : [aSet0(_211599), 1270 ^ _172515 : [(1273 ^ _172515) ^ [] : [aElementOf0(1269 ^ [_211599], xT)], (1271 ^ _172515) ^ [] : [-(aElementOf0(1269 ^ [_211599], _211599))]]], (1275 ^ _172515) ^ [] : [aSubsetOf0(_211599, xT)]]], (1361 ^ _172515) ^ [_214614] : [aElementOf0(_214614, sdtmndt0(xQ, xy)), 1364 ^ _172515 : [(1369 ^ _172515) ^ [] : [_214614 = xy], (1367 ^ _172515) ^ [] : [-(aElementOf0(_214614, xQ))], (1365 ^ _172515) ^ [] : [-(aElement0(_214614))]]], (433 ^ _172515) ^ [_186099, _186101] : [aSet0(_186101), aElement0(_186099), 440 ^ _172515 : [(441 ^ _172515) ^ [_186382] : [_186382 = sdtmndt0(_186101, _186099), 444 ^ _172515 : [(457 ^ _172515) ^ [_186983] : [-(aElementOf0(_186983, _186382)), aElement0(_186983), aElementOf0(_186983, _186101), -(_186983 = _186099)], (447 ^ _172515) ^ [_186647] : [aElementOf0(_186647, _186382), 450 ^ _172515 : [(455 ^ _172515) ^ [] : [_186647 = _186099], (453 ^ _172515) ^ [] : [-(aElementOf0(_186647, _186101))], (451 ^ _172515) ^ [] : [-(aElement0(_186647))]]], (445 ^ _172515) ^ [] : [-(aSet0(_186382))]]], (471 ^ _172515) ^ [_187367] : [-(_187367 = sdtmndt0(_186101, _186099)), aSet0(_187367), 491 ^ _172515 : [(494 ^ _172515) ^ [] : [-(aElementOf0(476 ^ [_186099, _186101, _187367], _186101))], (496 ^ _172515) ^ [] : [476 ^ [_186099, _186101, _187367] = _186099], (498 ^ _172515) ^ [] : [aElementOf0(476 ^ [_186099, _186101, _187367], _187367)], (492 ^ _172515) ^ [] : [-(aElement0(476 ^ [_186099, _186101, _187367]))]], 479 ^ _172515 : [(482 ^ _172515) ^ [] : [aElement0(476 ^ [_186099, _186101, _187367]), aElementOf0(476 ^ [_186099, _186101, _187367], _186101), -(476 ^ [_186099, _186101, _187367] = _186099)], (480 ^ _172515) ^ [] : [-(aElementOf0(476 ^ [_186099, _186101, _187367], _187367))]]]]], (1209 ^ _172515) ^ [_209911] : [aElementOf0(_209911, slbdtsldtrb0(xS, xk)), 1212 ^ _172515 : [(1221 ^ _172515) ^ [] : [-(aSubsetOf0(_209911, xS))], (1223 ^ _172515) ^ [] : [-(sbrdtbr0(_209911) = xk)], (1215 ^ _172515) ^ [_210146] : [aElementOf0(_210146, _209911), -(aElementOf0(_210146, xS))], (1213 ^ _172515) ^ [] : [-(aSet0(_209911))]]], (140 ^ _172515) ^ [_177119, _177121, _177123, _177125] : [-(sdtpldt0(_177125, _177121) = sdtpldt0(_177123, _177119)), _177125 = _177123, _177121 = _177119], (1153 ^ _172515) ^ [_208219] : [aSet0(_208219), isFinite0(_208219), 1160 ^ _172515 : [(1161 ^ _172515) ^ [_208435] : [aElementOf0(_208435, szNzAzT0), -(isFinite0(slbdtsldtrb0(_208219, _208435)))]]], (34 ^ _172515) ^ [_173735, _173737, _173739, _173741] : [-(sdtlseqdt0(_173739, _173735)), sdtlseqdt0(_173741, _173737), _173741 = _173739, _173737 = _173735], (1167 ^ _172515) ^ [_208644] : [aSet0(_208644), -(isFinite0(_208644)), 1174 ^ _172515 : [(1175 ^ _172515) ^ [_208866] : [aElementOf0(_208866, szNzAzT0), slbdtsldtrb0(_208644, _208866) = slcrc0]]], (78 ^ _172515) ^ [_175036, _175038] : [-(aElement0(_175036)), _175038 = _175036, aElement0(_175038)], (944 ^ _172515) ^ [_201677, _201679] : [-(szmzizndt0(_201679) = szmzizndt0(_201677)), aElementOf0(szmzizndt0(_201679), _201677), aElementOf0(szmzizndt0(_201677), _201679), aSubsetOf0(_201679, szNzAzT0), aSubsetOf0(_201677, szNzAzT0), -(_201679 = slcrc0), -(_201677 = slcrc0)], (10 ^ _172515) ^ [_172950, _172952, _172954] : [-(_172954 = _172950), _172954 = _172952, _172952 = _172950], (623 ^ _172515) ^ [_192114] : [aElementOf0(_192114, szNzAzT0), _192114 = szszuzczcdt0(_192114)], (907 ^ _172515) ^ [_200470] : [aSubsetOf0(_200470, szNzAzT0), isFinite0(_200470), -(_200470 = slcrc0), 918 ^ _172515 : [(931 ^ _172515) ^ [_201216] : [-(_201216 = szmzazxdt0(_200470)), aElementOf0(_201216, _200470), 937 ^ _172515 : [(940 ^ _172515) ^ [] : [sdtlseqdt0(936 ^ [_200470, _201216], _201216)], (938 ^ _172515) ^ [] : [-(aElementOf0(936 ^ [_200470, _201216], _200470))]]], (919 ^ _172515) ^ [_200822] : [_200822 = szmzazxdt0(_200470), 922 ^ _172515 : [(925 ^ _172515) ^ [_201037] : [aElementOf0(_201037, _200470), -(sdtlseqdt0(_201037, _200822))], (923 ^ _172515) ^ [] : [-(aElementOf0(_200822, _200470))]]]]], (1289 ^ _172515) ^ [_212433] : [aElementOf0(_212433, slbdtsldtrb0(xS, xk)), 1292 ^ _172515 : [(1301 ^ _172515) ^ [] : [-(aSubsetOf0(_212433, xS))], (1303 ^ _172515) ^ [] : [-(sbrdtbr0(_212433) = xk)], (1295 ^ _172515) ^ [_212668] : [aElementOf0(_212668, _212433), -(aElementOf0(_212668, xS))], (1293 ^ _172515) ^ [] : [-(aSet0(_212433))]]], (629 ^ _172515) ^ [_192323, _192325] : [aElementOf0(_192325, szNzAzT0), aElementOf0(_192323, szNzAzT0), sdtlseqdt0(_192325, _192323), true___, -(true___)], (1341 ^ _172515) ^ [] : [-(sbrdtbr0(xQ) = xk)], (48 ^ _172515) ^ [_174151, _174153] : [-(isCountable0(_174151)), _174153 = _174151, isCountable0(_174153)], (1413 ^ _172515) ^ [_216062] : [aElementOf0(_216062, xP), -(aElementOf0(_216062, xS))], (1339 ^ _172515) ^ [] : [-(aSubsetOf0(xQ, xS))], (1411 ^ _172515) ^ [] : [-(xP = sdtpldt0(sdtmndt0(xQ, xy), xx))]], input).
% 43.43/42.83 ncf('1',plain,[aElementOf0(xx, xT)],start(1425 ^ 0)).
% 43.43/42.83 ncf('1.1',plain,[-(aElementOf0(xx, xT)), 1252 : aElementOf0(xx, xP), 1252 : aElementOf0(xP, slbdtsldtrb0(xT, xk))],extension(1246 ^ 1,bind([[_211077, _211312], [xP, xx]]))).
% 43.43/42.83 ncf('1.1.1',plain,[-(aElementOf0(xx, xP)), aElement0(xx), 1407 : xx = xx],extension(1399 ^ 4,bind([[_215672], [xx]]))).
% 43.43/42.83 ncf('1.1.1.1',plain,[-(aElement0(xx)), 200 : aElementOf0(xx, xS), 200 : aSet0(xS)],extension(196 ^ 5,bind([[_178892, _179022], [xS, xx]]))).
% 43.43/42.83 ncf('1.1.1.1.1',plain,[-(aElementOf0(xx, xS))],extension(1329 ^ 8)).
% 43.43/42.83 ncf('1.1.1.1.2',plain,[-(aSet0(xS))],extension(1201 ^ 6)).
% 43.43/42.83 ncf('1.1.1.2',plain,[-(xx = xx)],extension(2 ^ 7,bind([[_172639], [xx]]))).
% 43.43/42.83 ncf('1.1.2',plain,[-(aElementOf0(xP, slbdtsldtrb0(xT, xk))), aElementOf0(xP, slbdtsldtrb0(xS, xk))],extension(1281 ^ 2,bind([[_212170], [xP]]))).
% 43.43/42.83 ncf('1.1.2.1',plain,[-(aElementOf0(xP, slbdtsldtrb0(xS, xk))), sbrdtbr0(xP) = xk, 1318 : aSubsetOf0(xP, xS)],extension(1305 ^ 3,bind([[_212955], [xP]]))).
% 43.43/42.83 ncf('1.1.2.1.1',plain,[-(sbrdtbr0(xP) = xk)],extension(1421 ^ 4)).
% 43.43/42.83 ncf('1.1.2.1.2',plain,[-(aSubsetOf0(xP, xS))],extension(1419 ^ 6)).
% 43.43/42.83 %-----------------------------------------------------
% 43.43/42.83 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------