TSTP Solution File: NUM548+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM548+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:44:57 EDT 2023
% Result : Theorem 59.03s 57.22s
% Output : Proof 59.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM548+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n022.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 17:25:17 EDT 2023
% 0.13/0.33 % CPUTime :
% 59.03/57.22
% 59.03/57.22 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 59.03/57.22 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.03/57.22 %-----------------------------------------------------
% 59.03/57.22 ncf(matrix, plain, [(1345 ^ _214927) ^ [] : [isFinite0(xQ)], !, (136 ^ _172931) ^ [_177353, _177355] : [_177355 = _177353, -(szmzazxdt0(_177355) = szmzazxdt0(_177353))], (1225 ^ _172931) ^ [_210849] : [-(aElementOf0(_210849, slbdtsldtrb0(xS, xk))), sbrdtbr0(_210849) = xk, 1228 ^ _172931 : [(1229 ^ _172931) ^ [] : [aSet0(_210849), 1233 ^ _172931 : [(1236 ^ _172931) ^ [] : [aElementOf0(1232 ^ [_210849], xS)], (1234 ^ _172931) ^ [] : [-(aElementOf0(1232 ^ [_210849], _210849))]]], (1238 ^ _172931) ^ [] : [aSubsetOf0(_210849, xS)]]], (20 ^ _172931) ^ [_173707, _173709, _173711, _173713] : [-(iLess0(_173711, _173707)), iLess0(_173713, _173709), _173713 = _173711, _173709 = _173707], (769 ^ _172931) ^ [_196659] : [aSet0(_196659), -(aElement0(sbrdtbr0(_196659)))], (709 ^ _172931) ^ [_195028, _195030, _195032] : [aElementOf0(_195032, szNzAzT0), aElementOf0(_195030, szNzAzT0), aElementOf0(_195028, szNzAzT0), -(sdtlseqdt0(_195032, _195028)), sdtlseqdt0(_195032, _195030), sdtlseqdt0(_195030, _195028)], (629 ^ _172931) ^ [_192739, _192741] : [aElementOf0(_192741, szNzAzT0), aElementOf0(_192739, szNzAzT0), sdtlseqdt0(_192741, _192739), true___, -(true___)], (502 ^ _172931) ^ [_188813] : [aSet0(_188813), 505 ^ _172931 : [(506 ^ _172931) ^ [_188950] : [aElementOf0(_188950, _188813), -(sdtpldt0(sdtmndt0(_188813, _188950), _188950) = _188813)]]], (1077 ^ _172931) ^ [_206067] : [1085 ^ _172931 : [(1088 ^ _172931) ^ [] : [-(aSubsetOf0(_206067, slbdtrb0(1084 ^ [_206067])))], (1086 ^ _172931) ^ [] : [-(aElementOf0(1084 ^ [_206067], szNzAzT0))]], aSubsetOf0(_206067, szNzAzT0), isFinite0(_206067)], (241 ^ _172931) ^ [_180640] : [aSet0(_180640), isCountable0(_180640), true___, -(true___)], (807 ^ _172931) ^ [_197714] : [aSet0(_197714), isFinite0(_197714), 814 ^ _172931 : [(815 ^ _172931) ^ [_197944] : [aElement0(_197944), -(aElementOf0(_197944, _197714)), -(sbrdtbr0(sdtpldt0(_197714, _197944)) = szszuzczcdt0(sbrdtbr0(_197714)))]]], (584 ^ _172931) ^ [] : [-(isCountable0(szNzAzT0))], (318 ^ _172931) ^ [_182940] : [aSet0(_182940), -(aSubsetOf0(_182940, _182940))], (526 ^ _172931) ^ [_189566] : [aElement0(_189566), 529 ^ _172931 : [(530 ^ _172931) ^ [_189703] : [-(isCountable0(sdtpldt0(_189703, _189566))), aSet0(_189703), isCountable0(_189703)]]], (586 ^ _172931) ^ [] : [-(aElementOf0(sz00, szNzAzT0))], (1262 ^ _172931) ^ [_212015] : [-(aElementOf0(_212015, slbdtsldtrb0(xT, xk))), sbrdtbr0(_212015) = xk, 1265 ^ _172931 : [(1266 ^ _172931) ^ [] : [aSet0(_212015), 1270 ^ _172931 : [(1273 ^ _172931) ^ [] : [aElementOf0(1269 ^ [_212015], xT)], (1271 ^ _172931) ^ [] : [-(aElementOf0(1269 ^ [_212015], _212015))]]], (1275 ^ _172931) ^ [] : [aSubsetOf0(_212015, xT)]]], (653 ^ _172931) ^ [_193379] : [aElementOf0(_193379, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_193379), sz00)], (825 ^ _172931) ^ [_198257] : [aSet0(_198257), 828 ^ _172931 : [(829 ^ _172931) ^ [_198402] : [-(szszuzczcdt0(sbrdtbr0(sdtmndt0(_198257, _198402))) = sbrdtbr0(_198257)), isFinite0(_198257), aElementOf0(_198402, _198257)]]], (691 ^ _172931) ^ [_194535, _194537] : [aElementOf0(_194537, szNzAzT0), aElementOf0(_194535, szNzAzT0), -(_194537 = _194535), sdtlseqdt0(_194537, _194535), sdtlseqdt0(_194535, _194537)], (176 ^ _172931) ^ [_178798] : [aSet0(_178798), true___, -(true___)], (610 ^ _172931) ^ [_192113] : [aElementOf0(_192113, szNzAzT0), -(_192113 = sz00), 618 ^ _172931 : [(621 ^ _172931) ^ [] : [-(_192113 = szszuzczcdt0(617 ^ [_192113]))], (619 ^ _172931) ^ [] : [-(aElementOf0(617 ^ [_192113], szNzAzT0))]]], (10 ^ _172931) ^ [_173366, _173368, _173370] : [-(_173370 = _173366), _173370 = _173368, _173368 = _173366], (1244 ^ _172931) ^ [] : [-(aSet0(slbdtsldtrb0(xT, xk)))], (160 ^ _172931) ^ [_178225, _178227] : [_178227 = _178225, -(sbrdtbr0(_178227) = sbrdtbr0(_178225))], (1246 ^ _172931) ^ [_211493] : [aElementOf0(_211493, slbdtsldtrb0(xT, xk)), 1249 ^ _172931 : [(1258 ^ _172931) ^ [] : [-(aSubsetOf0(_211493, xT))], (1260 ^ _172931) ^ [] : [-(sbrdtbr0(_211493) = xk)], (1252 ^ _172931) ^ [_211728] : [aElementOf0(_211728, _211493), -(aElementOf0(_211728, xT))], (1250 ^ _172931) ^ [] : [-(aSet0(_211493))]]], (874 ^ _172931) ^ [_199778] : [aSubsetOf0(_199778, szNzAzT0), -(_199778 = slcrc0), 881 ^ _172931 : [(894 ^ _172931) ^ [_200441] : [-(_200441 = szmzizndt0(_199778)), aElementOf0(_200441, _199778), 900 ^ _172931 : [(903 ^ _172931) ^ [] : [sdtlseqdt0(_200441, 899 ^ [_199778, _200441])], (901 ^ _172931) ^ [] : [-(aElementOf0(899 ^ [_199778, _200441], _199778))]]], (882 ^ _172931) ^ [_200047] : [_200047 = szmzizndt0(_199778), 885 ^ _172931 : [(888 ^ _172931) ^ [_200262] : [aElementOf0(_200262, _199778), -(sdtlseqdt0(_200047, _200262))], (886 ^ _172931) ^ [] : [-(aElementOf0(_200047, _199778))]]]]], (659 ^ _172931) ^ [_193588, _193590] : [aElementOf0(_193590, szNzAzT0), aElementOf0(_193588, szNzAzT0), 666 ^ _172931 : [(673 ^ _172931) ^ [] : [sdtlseqdt0(szszuzczcdt0(_193590), szszuzczcdt0(_193588)), -(sdtlseqdt0(_193590, _193588))], (667 ^ _172931) ^ [] : [sdtlseqdt0(_193590, _193588), -(sdtlseqdt0(szszuzczcdt0(_193590), szszuzczcdt0(_193588)))]]], (1333 ^ _172931) ^ [_214192] : [aElementOf0(_214192, xQ), -(aElementOf0(_214192, xS))], (1057 ^ _172931) ^ [_205518, _205520] : [aElementOf0(_205520, szNzAzT0), aElementOf0(_205518, szNzAzT0), 1064 ^ _172931 : [(1071 ^ _172931) ^ [] : [aSubsetOf0(slbdtrb0(_205520), slbdtrb0(_205518)), -(sdtlseqdt0(_205520, _205518))], (1065 ^ _172931) ^ [] : [sdtlseqdt0(_205520, _205518), -(aSubsetOf0(slbdtrb0(_205520), slbdtrb0(_205518)))]]], (196 ^ _172931) ^ [_179308] : [aSet0(_179308), 199 ^ _172931 : [(200 ^ _172931) ^ [_179438] : [aElementOf0(_179438, _179308), -(aElement0(_179438))]]], (78 ^ _172931) ^ [_175480, _175482, _175484, _175486] : [-(aSubsetOf0(_175484, _175480)), aSubsetOf0(_175486, _175482), _175486 = _175484, _175482 = _175480], (970 ^ _172931) ^ [_202760] : [aElementOf0(_202760, szNzAzT0), 973 ^ _172931 : [(974 ^ _172931) ^ [_202948] : [_202948 = slbdtrb0(_202760), 977 ^ _172931 : [(988 ^ _172931) ^ [_203451] : [-(aElementOf0(_203451, _202948)), aElementOf0(_203451, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_203451), _202760)], (980 ^ _172931) ^ [_203198] : [aElementOf0(_203198, _202948), 983 ^ _172931 : [(986 ^ _172931) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_203198), _202760))], (984 ^ _172931) ^ [] : [-(aElementOf0(_203198, szNzAzT0))]]], (978 ^ _172931) ^ [] : [-(aSet0(_202948))]]], (998 ^ _172931) ^ [_203729] : [-(_203729 = slbdtrb0(_202760)), aSet0(_203729), 1014 ^ _172931 : [(1019 ^ _172931) ^ [] : [aElementOf0(1003 ^ [_202760, _203729], _203729)], (1017 ^ _172931) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(1003 ^ [_202760, _203729]), _202760))], (1015 ^ _172931) ^ [] : [-(aElementOf0(1003 ^ [_202760, _203729], szNzAzT0))]], 1006 ^ _172931 : [(1009 ^ _172931) ^ [] : [aElementOf0(1003 ^ [_202760, _203729], szNzAzT0), sdtlseqdt0(szszuzczcdt0(1003 ^ [_202760, _203729]), _202760)], (1007 ^ _172931) ^ [] : [-(aElementOf0(1003 ^ [_202760, _203729], _203729))]]]]], (4 ^ _172931) ^ [_173162, _173164] : [_173164 = _173162, -(_173162 = _173164)], (1281 ^ _172931) ^ [_212586] : [aElementOf0(_212586, slbdtsldtrb0(xS, xk)), -(aElementOf0(_212586, slbdtsldtrb0(xT, xk)))], (623 ^ _172931) ^ [_192530] : [aElementOf0(_192530, szNzAzT0), _192530 = szszuzczcdt0(_192530)], (324 ^ _172931) ^ [_183142, _183144] : [aSet0(_183144), aSet0(_183142), -(_183144 = _183142), aSubsetOf0(_183144, _183142), aSubsetOf0(_183142, _183144)], (1207 ^ _172931) ^ [] : [-(aSet0(slbdtsldtrb0(xS, xk)))], (1181 ^ _172931) ^ [_209494] : [aSet0(_209494), isCountable0(_209494), 1188 ^ _172931 : [(1189 ^ _172931) ^ [_209718] : [-(isCountable0(slbdtsldtrb0(_209494, _209718))), aElementOf0(_209718, szNzAzT0), -(_209718 = sz00)]]], (275 ^ _172931) ^ [_181523] : [aSet0(_181523), 278 ^ _172931 : [(291 ^ _172931) ^ [_182087] : [-(aSubsetOf0(_182087, _181523)), aSet0(_182087), 297 ^ _172931 : [(300 ^ _172931) ^ [] : [aElementOf0(296 ^ [_181523, _182087], _181523)], (298 ^ _172931) ^ [] : [-(aElementOf0(296 ^ [_181523, _182087], _182087))]]], (279 ^ _172931) ^ [_181699] : [aSubsetOf0(_181699, _181523), 282 ^ _172931 : [(285 ^ _172931) ^ [_181908] : [aElementOf0(_181908, _181699), -(aElementOf0(_181908, _181523))], (283 ^ _172931) ^ [] : [-(aSet0(_181699))]]]]], (239 ^ _172931) ^ [] : [-(isFinite0(slcrc0))], (745 ^ _172931) ^ [_196015, _196017] : [aElementOf0(_196017, szNzAzT0), aElementOf0(_196015, szNzAzT0), iLess0(_196017, _196015), true___, -(true___)], (265 ^ _172931) ^ [_181251] : [_181251 = slcrc0, aSet0(_181251), isCountable0(_181251)], (540 ^ _172931) ^ [_189995] : [aElement0(_189995), 543 ^ _172931 : [(544 ^ _172931) ^ [_190132] : [-(isCountable0(sdtmndt0(_190132, _189995))), aSet0(_190132), isCountable0(_190132)]]], (1287 ^ _172931) ^ [] : [-(aSubsetOf0(slbdtsldtrb0(xS, xk), slbdtsldtrb0(xT, xk)))], (1023 ^ _172931) ^ [_204532] : [aElementOf0(_204532, szNzAzT0), -(isFinite0(slbdtrb0(_204532)))], (731 ^ _172931) ^ [_195620, _195622] : [aElementOf0(_195622, szNzAzT0), aElementOf0(_195620, szNzAzT0), -(sdtlseqdt0(_195622, _195620)), -(sdtlseqdt0(szszuzczcdt0(_195620), _195622))], (1203 ^ _172931) ^ [] : [-(aSet0(xT))], (1327 ^ _172931) ^ [] : [slbdtsldtrb0(xS, xk) = slcrc0], (1199 ^ _172931) ^ [] : [-(aElementOf0(xk, szNzAzT0))], (1289 ^ _172931) ^ [_212849] : [aElementOf0(_212849, slbdtsldtrb0(xS, xk)), 1292 ^ _172931 : [(1301 ^ _172931) ^ [] : [-(aSubsetOf0(_212849, xS))], (1303 ^ _172931) ^ [] : [-(sbrdtbr0(_212849) = xk)], (1295 ^ _172931) ^ [_213084] : [aElementOf0(_213084, _212849), -(aElementOf0(_213084, xS))], (1293 ^ _172931) ^ [] : [-(aSet0(_212849))]]], (944 ^ _172931) ^ [_202093, _202095] : [-(szmzizndt0(_202095) = szmzizndt0(_202093)), aElementOf0(szmzizndt0(_202095), _202093), aElementOf0(szmzizndt0(_202093), _202095), aSubsetOf0(_202095, szNzAzT0), aSubsetOf0(_202093, szNzAzT0), -(_202095 = slcrc0), -(_202093 = slcrc0)], (44 ^ _172931) ^ [_174446, _174448, _174450, _174452] : [-(sdtlseqdt0(_174450, _174446)), sdtlseqdt0(_174452, _174448), _174452 = _174450, _174448 = _174446], (142 ^ _172931) ^ [_177571, _177573] : [_177573 = _177571, -(szmzizndt0(_177573) = szmzizndt0(_177571))], (186 ^ _172931) ^ [_179053] : [aElement0(_179053), true___, -(true___)], (68 ^ _172931) ^ [_175157, _175159] : [-(aSet0(_175157)), _175159 = _175157, aSet0(_175159)], (148 ^ _172931) ^ [_177789, _177791] : [_177791 = _177789, -(szszuzczcdt0(_177791) = szszuzczcdt0(_177789))], (839 ^ _172931) ^ [_198710] : [aSet0(_198710), 842 ^ _172931 : [(843 ^ _172931) ^ [_198850] : [-(sdtlseqdt0(sbrdtbr0(_198850), sbrdtbr0(_198710))), isFinite0(_198710), aSubsetOf0(_198850, _198710)]]], (1031 ^ _172931) ^ [_204791, _204793] : [aElementOf0(_204793, szNzAzT0), aElementOf0(_204791, szNzAzT0), 1038 ^ _172931 : [(1039 ^ _172931) ^ [] : [aElementOf0(_204793, slbdtrb0(szszuzczcdt0(_204791))), -(aElementOf0(_204793, slbdtrb0(_204791))), -(_204793 = _204791)], (1049 ^ _172931) ^ [] : [1050 ^ _172931 : [(1053 ^ _172931) ^ [] : [_204793 = _204791], (1051 ^ _172931) ^ [] : [aElementOf0(_204793, slbdtrb0(_204791))]], -(aElementOf0(_204793, slbdtrb0(szszuzczcdt0(_204791))))]]], (647 ^ _172931) ^ [_193189] : [aElementOf0(_193189, szNzAzT0), -(sdtlseqdt0(sz00, _193189))], (568 ^ _172931) ^ [_190853] : [aElement0(_190853), 571 ^ _172931 : [(572 ^ _172931) ^ [_190990] : [-(isFinite0(sdtmndt0(_190990, _190853))), aSet0(_190990), isFinite0(_190990)]]], (1096 ^ _172931) ^ [_206693, _206695] : [aSet0(_206695), aElementOf0(_206693, szNzAzT0), 1103 ^ _172931 : [(1104 ^ _172931) ^ [_206973] : [_206973 = slbdtsldtrb0(_206695, _206693), 1107 ^ _172931 : [(1118 ^ _172931) ^ [_207496] : [-(aElementOf0(_207496, _206973)), aSubsetOf0(_207496, _206695), sbrdtbr0(_207496) = _206693], (1110 ^ _172931) ^ [_207233] : [aElementOf0(_207233, _206973), 1113 ^ _172931 : [(1116 ^ _172931) ^ [] : [-(sbrdtbr0(_207233) = _206693)], (1114 ^ _172931) ^ [] : [-(aSubsetOf0(_207233, _206695))]]], (1108 ^ _172931) ^ [] : [-(aSet0(_206973))]]], (1128 ^ _172931) ^ [_207786] : [-(_207786 = slbdtsldtrb0(_206695, _206693)), aSet0(_207786), 1144 ^ _172931 : [(1149 ^ _172931) ^ [] : [aElementOf0(1133 ^ [_206693, _206695, _207786], _207786)], (1147 ^ _172931) ^ [] : [-(sbrdtbr0(1133 ^ [_206693, _206695, _207786]) = _206693)], (1145 ^ _172931) ^ [] : [-(aSubsetOf0(1133 ^ [_206693, _206695, _207786], _206695))]], 1136 ^ _172931 : [(1139 ^ _172931) ^ [] : [aSubsetOf0(1133 ^ [_206693, _206695, _207786], _206695), sbrdtbr0(1133 ^ [_206693, _206695, _207786]) = _206693], (1137 ^ _172931) ^ [] : [-(aElementOf0(1133 ^ [_206693, _206695, _207786], _207786))]]]]], (58 ^ _172931) ^ [_174862, _174864] : [-(isCountable0(_174862)), _174864 = _174862, isCountable0(_174864)], (92 ^ _172931) ^ [_175924, _175926, _175928, _175930] : [-(aElementOf0(_175928, _175924)), aElementOf0(_175930, _175926), _175930 = _175928, _175926 = _175924], (1339 ^ _172931) ^ [] : [-(aSubsetOf0(xQ, xS))], (582 ^ _172931) ^ [] : [-(aSet0(szNzAzT0))], (1329 ^ _172931) ^ [] : [-(aElementOf0(xx, xS))], (1331 ^ _172931) ^ [] : [-(aSet0(xQ))], (791 ^ _172931) ^ [_197280] : [aSet0(_197280), 794 ^ _172931 : [(801 ^ _172931) ^ [] : [_197280 = slcrc0, -(sbrdtbr0(_197280) = sz00)], (795 ^ _172931) ^ [] : [sbrdtbr0(_197280) = sz00, -(_197280 = slcrc0)]]], (679 ^ _172931) ^ [_194137] : [aElementOf0(_194137, szNzAzT0), -(sdtlseqdt0(_194137, szszuzczcdt0(_194137)))], (34 ^ _172931) ^ [_174123, _174125] : [-(aElement0(_174123)), _174125 = _174123, aElement0(_174125)], (596 ^ _172931) ^ [_191729, _191731] : [aElementOf0(_191731, szNzAzT0), aElementOf0(_191729, szNzAzT0), szszuzczcdt0(_191731) = szszuzczcdt0(_191729), -(_191731 = _191729)], (2 ^ _172931) ^ [_173055] : [-(_173055 = _173055)], (512 ^ _172931) ^ [_189179, _189181] : [aElement0(_189181), aSet0(_189179), -(aElementOf0(_189181, _189179)), -(sdtmndt0(sdtpldt0(_189179, _189181), _189181) = _189179)], (685 ^ _172931) ^ [_194331] : [aElementOf0(_194331, szNzAzT0), -(sdtlseqdt0(_194331, _194331))], (220 ^ _172931) ^ [_180009] : [_180009 = slcrc0, 223 ^ _172931 : [(226 ^ _172931) ^ [_180190] : [aElementOf0(_180190, _180009)], (224 ^ _172931) ^ [] : [-(aSet0(_180009))]]], (364 ^ _172931) ^ [_184217, _184219] : [aSet0(_184219), aElement0(_184217), 371 ^ _172931 : [(372 ^ _172931) ^ [_184498] : [_184498 = sdtpldt0(_184219, _184217), 375 ^ _172931 : [(390 ^ _172931) ^ [_185116] : [-(aElementOf0(_185116, _184498)), aElement0(_185116), 395 ^ _172931 : [(398 ^ _172931) ^ [] : [_185116 = _184217], (396 ^ _172931) ^ [] : [aElementOf0(_185116, _184219)]]], (378 ^ _172931) ^ [_184761] : [aElementOf0(_184761, _184498), 381 ^ _172931 : [(384 ^ _172931) ^ [] : [-(aElementOf0(_184761, _184219)), -(_184761 = _184217)], (382 ^ _172931) ^ [] : [-(aElement0(_184761))]]], (376 ^ _172931) ^ [] : [-(aSet0(_184498))]]], (402 ^ _172931) ^ [_185478] : [-(_185478 = sdtpldt0(_184219, _184217)), aSet0(_185478), 410 ^ _172931 : [(413 ^ _172931) ^ [] : [aElement0(407 ^ [_184217, _184219, _185478]), 416 ^ _172931 : [(419 ^ _172931) ^ [] : [407 ^ [_184217, _184219, _185478] = _184217], (417 ^ _172931) ^ [] : [aElementOf0(407 ^ [_184217, _184219, _185478], _184219)]]], (411 ^ _172931) ^ [] : [-(aElementOf0(407 ^ [_184217, _184219, _185478], _185478))]], 420 ^ _172931 : [(423 ^ _172931) ^ [] : [-(aElementOf0(407 ^ [_184217, _184219, _185478], _184219)), -(407 ^ [_184217, _184219, _185478] = _184217)], (421 ^ _172931) ^ [] : [-(aElement0(407 ^ [_184217, _184219, _185478]))], (429 ^ _172931) ^ [] : [aElementOf0(407 ^ [_184217, _184219, _185478], _185478)]]]]], (1201 ^ _172931) ^ [] : [-(aSet0(xS))], (907 ^ _172931) ^ [_200886] : [aSubsetOf0(_200886, szNzAzT0), isFinite0(_200886), -(_200886 = slcrc0), 918 ^ _172931 : [(931 ^ _172931) ^ [_201632] : [-(_201632 = szmzazxdt0(_200886)), aElementOf0(_201632, _200886), 937 ^ _172931 : [(940 ^ _172931) ^ [] : [sdtlseqdt0(936 ^ [_200886, _201632], _201632)], (938 ^ _172931) ^ [] : [-(aElementOf0(936 ^ [_200886, _201632], _200886))]]], (919 ^ _172931) ^ [_201238] : [_201238 = szmzazxdt0(_200886), 922 ^ _172931 : [(925 ^ _172931) ^ [_201453] : [aElementOf0(_201453, _200886), -(sdtlseqdt0(_201453, _201238))], (923 ^ _172931) ^ [] : [-(aElementOf0(_201238, _200886))]]]]], (1325 ^ _172931) ^ [] : [-(aElementOf0(1323 ^ [], slbdtsldtrb0(xS, xk)))], (1305 ^ _172931) ^ [_213371] : [-(aElementOf0(_213371, slbdtsldtrb0(xS, xk))), sbrdtbr0(_213371) = xk, 1308 ^ _172931 : [(1309 ^ _172931) ^ [] : [aSet0(_213371), 1313 ^ _172931 : [(1316 ^ _172931) ^ [] : [aElementOf0(1312 ^ [_213371], xS)], (1314 ^ _172931) ^ [] : [-(aElementOf0(1312 ^ [_213371], _213371))]]], (1318 ^ _172931) ^ [] : [aSubsetOf0(_213371, xS)]]], (1167 ^ _172931) ^ [_209060] : [aSet0(_209060), -(isFinite0(_209060)), 1174 ^ _172931 : [(1175 ^ _172931) ^ [_209282] : [aElementOf0(_209282, szNzAzT0), slbdtsldtrb0(_209060, _209282) = slcrc0]]], (1029 ^ _172931) ^ [] : [-(slbdtrb0(sz00) = slcrc0)], (1205 ^ _172931) ^ [] : [xk = sz00], (1341 ^ _172931) ^ [] : [-(sbrdtbr0(xQ) = xk)], (554 ^ _172931) ^ [_190424] : [aElement0(_190424), 557 ^ _172931 : [(558 ^ _172931) ^ [_190561] : [-(isFinite0(sdtpldt0(_190561, _190424))), aSet0(_190561), isFinite0(_190561)]]], (116 ^ _172931) ^ [_176663, _176665, _176667, _176669] : [-(sdtpldt0(_176669, _176665) = sdtpldt0(_176667, _176663)), _176669 = _176667, _176665 = _176663], (166 ^ _172931) ^ [_178451, _178453, _178455, _178457] : [-(slbdtsldtrb0(_178457, _178453) = slbdtsldtrb0(_178455, _178451)), _178457 = _178455, _178453 = _178451], (154 ^ _172931) ^ [_178007, _178009] : [_178009 = _178007, -(slbdtrb0(_178009) = slbdtrb0(_178007))], (1153 ^ _172931) ^ [_208635] : [aSet0(_208635), isFinite0(_208635), 1160 ^ _172931 : [(1161 ^ _172931) ^ [_208851] : [aElementOf0(_208851, szNzAzT0), -(isFinite0(slbdtsldtrb0(_208635, _208851)))]]], (433 ^ _172931) ^ [_186515, _186517] : [aSet0(_186517), aElement0(_186515), 440 ^ _172931 : [(441 ^ _172931) ^ [_186798] : [_186798 = sdtmndt0(_186517, _186515), 444 ^ _172931 : [(457 ^ _172931) ^ [_187399] : [-(aElementOf0(_187399, _186798)), aElement0(_187399), aElementOf0(_187399, _186517), -(_187399 = _186515)], (447 ^ _172931) ^ [_187063] : [aElementOf0(_187063, _186798), 450 ^ _172931 : [(455 ^ _172931) ^ [] : [_187063 = _186515], (453 ^ _172931) ^ [] : [-(aElementOf0(_187063, _186517))], (451 ^ _172931) ^ [] : [-(aElement0(_187063))]]], (445 ^ _172931) ^ [] : [-(aSet0(_186798))]]], (471 ^ _172931) ^ [_187783] : [-(_187783 = sdtmndt0(_186517, _186515)), aSet0(_187783), 491 ^ _172931 : [(494 ^ _172931) ^ [] : [-(aElementOf0(476 ^ [_186515, _186517, _187783], _186517))], (496 ^ _172931) ^ [] : [476 ^ [_186515, _186517, _187783] = _186515], (498 ^ _172931) ^ [] : [aElementOf0(476 ^ [_186515, _186517, _187783], _187783)], (492 ^ _172931) ^ [] : [-(aElement0(476 ^ [_186515, _186517, _187783]))]], 479 ^ _172931 : [(482 ^ _172931) ^ [] : [aElement0(476 ^ [_186515, _186517, _187783]), aElementOf0(476 ^ [_186515, _186517, _187783], _186517), -(476 ^ [_186515, _186517, _187783] = _186515)], (480 ^ _172931) ^ [] : [-(aElementOf0(476 ^ [_186515, _186517, _187783], _187783))]]]]], (206 ^ _172931) ^ [_179639] : [aSet0(_179639), isFinite0(_179639), true___, -(true___)], (588 ^ _172931) ^ [_191443] : [aElementOf0(_191443, szNzAzT0), 591 ^ _172931 : [(594 ^ _172931) ^ [] : [szszuzczcdt0(_191443) = sz00], (592 ^ _172931) ^ [] : [-(aElementOf0(szszuzczcdt0(_191443), szNzAzT0))]]], (304 ^ _172931) ^ [_182524] : [aSet0(_182524), isFinite0(_182524), 311 ^ _172931 : [(312 ^ _172931) ^ [_182737] : [aSubsetOf0(_182737, _182524), -(isFinite0(_182737))]]], (763 ^ _172931) ^ [_196465] : [aElementOf0(_196465, szNzAzT0), -(iLess0(_196465, szszuzczcdt0(_196465)))], (255 ^ _172931) ^ [_180981] : [isFinite0(_180981), aSet0(_180981), isCountable0(_180981)], (775 ^ _172931) ^ [_196849] : [aSet0(_196849), 778 ^ _172931 : [(785 ^ _172931) ^ [] : [isFinite0(_196849), -(aElementOf0(sbrdtbr0(_196849), szNzAzT0))], (779 ^ _172931) ^ [] : [aElementOf0(sbrdtbr0(_196849), szNzAzT0), -(isFinite0(_196849))]]], (853 ^ _172931) ^ [_199162, _199164] : [aSet0(_199164), aElementOf0(_199162, szNzAzT0), 869 ^ _172931 : [(872 ^ _172931) ^ [] : [-(sbrdtbr0(868 ^ [_199162, _199164]) = _199162)], (870 ^ _172931) ^ [] : [-(aSubsetOf0(868 ^ [_199162, _199164], _199164))]], isFinite0(_199164), sdtlseqdt0(_199162, sbrdtbr0(_199164))], (342 ^ _172931) ^ [_183631, _183633, _183635] : [aSet0(_183635), aSet0(_183633), aSet0(_183631), -(aSubsetOf0(_183635, _183631)), aSubsetOf0(_183635, _183633), aSubsetOf0(_183633, _183631)], (1209 ^ _172931) ^ [_210327] : [aElementOf0(_210327, slbdtsldtrb0(xS, xk)), 1212 ^ _172931 : [(1221 ^ _172931) ^ [] : [-(aSubsetOf0(_210327, xS))], (1223 ^ _172931) ^ [] : [-(sbrdtbr0(_210327) = xk)], (1215 ^ _172931) ^ [_210562] : [aElementOf0(_210562, _210327), -(aElementOf0(_210562, xS))], (1213 ^ _172931) ^ [] : [-(aSet0(_210327))]]], (1343 ^ _172931) ^ [] : [-(aElementOf0(xQ, slbdtsldtrb0(xS, xk)))], (1090 ^ _172931) ^ [_206481] : [aElementOf0(_206481, szNzAzT0), -(sbrdtbr0(slbdtrb0(_206481)) = _206481)], (106 ^ _172931) ^ [_176320, _176322] : [-(isFinite0(_176320)), _176322 = _176320, isFinite0(_176322)], (126 ^ _172931) ^ [_177022, _177024, _177026, _177028] : [-(sdtmndt0(_177028, _177024) = sdtmndt0(_177026, _177022)), _177028 = _177026, _177024 = _177022], (228 ^ _172931) ^ [_180258] : [-(_180258 = slcrc0), aSet0(_180258), -(aElementOf0(233 ^ [_180258], _180258))]], input).
% 59.03/57.22 ncf('1',plain,[isFinite0(xQ)],start(1345 ^ 0)).
% 59.03/57.22 ncf('1.1',plain,[-(isFinite0(xQ)), 779 : aElementOf0(sbrdtbr0(xQ), szNzAzT0), 779 : aSet0(xQ)],extension(775 ^ 1,bind([[_196849], [xQ]]))).
% 59.03/57.22 ncf('1.1.1',plain,[-(aElementOf0(sbrdtbr0(xQ), szNzAzT0)), 390 : aElement0(sbrdtbr0(xQ)), 398 : sbrdtbr0(xQ) = xk, 390 : szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0, xk), xk), 372 : aSet0(sdtmndt0(szNzAzT0, xk)), 372 : aElement0(xk)],extension(364 ^ 4,bind([[_184217, _184219, _184498, _185116], [xk, sdtmndt0(szNzAzT0, xk), szNzAzT0, sbrdtbr0(xQ)]]))).
% 59.03/57.22 ncf('1.1.1.1',plain,[-(aElement0(sbrdtbr0(xQ))), aSet0(xQ)],extension(769 ^ 9,bind([[_196659], [xQ]]))).
% 59.03/57.22 ncf('1.1.1.1.1',plain,[-(aSet0(xQ)), aElementOf0(xQ, slbdtsldtrb0(xT, xk))],extension(1246 ^ 10,bind([[_211493], [xQ]]))).
% 59.03/57.22 ncf('1.1.1.1.1.1',plain,[-(aElementOf0(xQ, slbdtsldtrb0(xT, xk))), aElementOf0(xQ, slbdtsldtrb0(xS, xk))],extension(1281 ^ 11,bind([[_212586], [xQ]]))).
% 59.03/57.22 ncf('1.1.1.1.1.1.1',plain,[-(aElementOf0(xQ, slbdtsldtrb0(xS, xk)))],extension(1343 ^ 12)).
% 59.03/57.22 ncf('1.1.1.2',plain,[-(sbrdtbr0(xQ) = xk), sbrdtbr0(xQ) = szszuzczcdt0(617 ^ [xk]), szszuzczcdt0(617 ^ [xk]) = xk],extension(10 ^ 11,bind([[_173366, _173368, _173370], [xk, szszuzczcdt0(617 ^ [xk]), sbrdtbr0(xQ)]]))).
% 59.03/57.22 ncf('1.1.1.2.1',plain,[-(sbrdtbr0(xQ) = szszuzczcdt0(617 ^ [xk])), sbrdtbr0(xQ) = xk, xk = szszuzczcdt0(617 ^ [xk])],extension(10 ^ 12,bind([[_173366, _173368, _173370], [szszuzczcdt0(617 ^ [xk]), xk, sbrdtbr0(xQ)]]))).
% 59.03/57.22 ncf('1.1.1.2.1.1',plain,[-(sbrdtbr0(xQ) = xk), aElementOf0(xQ, slbdtsldtrb0(xS, xk))],extension(1289 ^ 13,bind([[_212849], [xQ]]))).
% 59.03/57.22 ncf('1.1.1.2.1.1.1',plain,[-(aElementOf0(xQ, slbdtsldtrb0(xS, xk)))],extension(1343 ^ 14)).
% 59.03/57.22 ncf('1.1.1.2.1.2',plain,[-(xk = szszuzczcdt0(617 ^ [xk])), aElementOf0(xk, szNzAzT0), -(xk = sz00)],extension(610 ^ 13,bind([[_192113], [xk]]))).
% 59.03/57.22 ncf('1.1.1.2.1.2.1',plain,[-(aElementOf0(xk, szNzAzT0))],extension(1199 ^ 14)).
% 59.03/57.22 ncf('1.1.1.2.1.2.2',plain,[xk = sz00],extension(1205 ^ 14)).
% 59.03/57.22 ncf('1.1.1.2.2',plain,[-(szszuzczcdt0(617 ^ [xk]) = xk), xk = szszuzczcdt0(617 ^ [xk])],extension(4 ^ 12,bind([[_173162, _173164], [szszuzczcdt0(617 ^ [xk]), xk]]))).
% 59.03/57.22 ncf('1.1.1.2.2.1',plain,[-(xk = szszuzczcdt0(617 ^ [xk])), aElementOf0(xk, szNzAzT0), -(xk = sz00)],extension(610 ^ 13,bind([[_192113], [xk]]))).
% 59.03/57.22 ncf('1.1.1.2.2.1.1',plain,[-(aElementOf0(xk, szNzAzT0))],extension(1199 ^ 14)).
% 59.03/57.22 ncf('1.1.1.2.2.1.2',plain,[xk = sz00],extension(1205 ^ 14)).
% 59.03/57.22 ncf('1.1.1.3',plain,[-(szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0, xk), xk)), sdtpldt0(sdtmndt0(szNzAzT0, xk), xk) = szNzAzT0],extension(4 ^ 7,bind([[_173162, _173164], [szNzAzT0, sdtpldt0(sdtmndt0(szNzAzT0, xk), xk)]]))).
% 59.03/57.22 ncf('1.1.1.3.1',plain,[-(sdtpldt0(sdtmndt0(szNzAzT0, xk), xk) = szNzAzT0), 506 : aElementOf0(xk, szNzAzT0), 506 : aSet0(szNzAzT0)],extension(502 ^ 8,bind([[_188813, _188950], [szNzAzT0, xk]]))).
% 59.03/57.22 ncf('1.1.1.3.1.1',plain,[-(aElementOf0(xk, szNzAzT0))],extension(1199 ^ 11)).
% 59.03/57.22 ncf('1.1.1.3.1.2',plain,[-(aSet0(szNzAzT0))],extension(582 ^ 9)).
% 59.03/57.22 ncf('1.1.1.4',plain,[-(aSet0(sdtmndt0(szNzAzT0, xk))), 441 : sdtmndt0(szNzAzT0, xk) = sdtmndt0(szNzAzT0, xk), 441 : aSet0(szNzAzT0), 441 : aElement0(xk)],extension(433 ^ 5,bind([[_186515, _186517, _186798], [xk, szNzAzT0, sdtmndt0(szNzAzT0, xk)]]))).
% 59.03/57.22 ncf('1.1.1.4.1',plain,[-(sdtmndt0(szNzAzT0, xk) = sdtmndt0(szNzAzT0, xk)), sdtmndt0(szNzAzT0, xk) = sdtmndt0(szNzAzT0, xk)],extension(4 ^ 8,bind([[_173162, _173164], [sdtmndt0(szNzAzT0, xk), sdtmndt0(szNzAzT0, xk)]]))).
% 59.03/57.22 ncf('1.1.1.4.1.1',plain,[-(sdtmndt0(szNzAzT0, xk) = sdtmndt0(szNzAzT0, xk))],extension(2 ^ 9,bind([[_173055], [sdtmndt0(szNzAzT0, xk)]]))).
% 59.03/57.22 ncf('1.1.1.4.2',plain,[-(aSet0(szNzAzT0))],extension(582 ^ 6)).
% 59.03/57.22 ncf('1.1.1.4.3',plain,[-(aElement0(xk)), 200 : aElementOf0(xk, szNzAzT0), 200 : aSet0(szNzAzT0)],extension(196 ^ 6,bind([[_179308, _179438], [szNzAzT0, xk]]))).
% 59.03/57.22 ncf('1.1.1.4.3.1',plain,[-(aElementOf0(xk, szNzAzT0))],extension(1199 ^ 9)).
% 59.03/57.22 ncf('1.1.1.4.3.2',plain,[-(aSet0(szNzAzT0))],lemmata('[1, 1, 1].x')).
% 59.03/57.22 ncf('1.1.1.5',plain,[-(aElement0(xk)), 200 : aElementOf0(xk, szNzAzT0), 200 : aSet0(szNzAzT0)],extension(196 ^ 5,bind([[_179308, _179438], [szNzAzT0, xk]]))).
% 59.03/57.22 ncf('1.1.1.5.1',plain,[-(aElementOf0(xk, szNzAzT0)), 285 : aElementOf0(xk, szNzAzT0), 285 : aSubsetOf0(szNzAzT0, szNzAzT0), 279 : aSet0(szNzAzT0)],extension(275 ^ 8,bind([[_181523, _181699, _181908], [szNzAzT0, szNzAzT0, xk]]))).
% 59.03/57.22 ncf('1.1.1.5.1.1',plain,[-(aElementOf0(xk, szNzAzT0))],extension(1199 ^ 13)).
% 59.03/57.22 ncf('1.1.1.5.1.2',plain,[-(aSubsetOf0(szNzAzT0, szNzAzT0)), aSet0(szNzAzT0)],extension(318 ^ 11,bind([[_182940], [szNzAzT0]]))).
% 59.03/57.22 ncf('1.1.1.5.1.2.1',plain,[-(aSet0(szNzAzT0))],extension(582 ^ 12)).
% 59.03/57.22 ncf('1.1.1.5.1.3',plain,[-(aSet0(szNzAzT0))],extension(582 ^ 9)).
% 59.03/57.22 ncf('1.1.1.5.2',plain,[-(aSet0(szNzAzT0))],extension(582 ^ 6)).
% 59.03/57.22 ncf('1.1.2',plain,[-(aSet0(xQ)), aElementOf0(xQ, slbdtsldtrb0(xT, xk))],extension(1246 ^ 2,bind([[_211493], [xQ]]))).
% 59.03/57.22 ncf('1.1.2.1',plain,[-(aElementOf0(xQ, slbdtsldtrb0(xT, xk))), aElementOf0(xQ, slbdtsldtrb0(xS, xk))],extension(1281 ^ 3,bind([[_212586], [xQ]]))).
% 59.03/57.22 ncf('1.1.2.1.1',plain,[-(aElementOf0(xQ, slbdtsldtrb0(xS, xk))), sbrdtbr0(xQ) = xk, 1238 : aSubsetOf0(xQ, xS)],extension(1225 ^ 4,bind([[_210849], [xQ]]))).
% 59.03/57.22 ncf('1.1.2.1.1.1',plain,[-(sbrdtbr0(xQ) = xk)],extension(1341 ^ 5)).
% 59.03/57.22 ncf('1.1.2.1.1.2',plain,[-(aSubsetOf0(xQ, xS))],extension(1339 ^ 7)).
% 59.03/57.22 %-----------------------------------------------------
% 59.03/57.22 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------