TSTP Solution File: NUM576+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM576+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n012.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 11:45:02 EDT 2023
% Result : Theorem 0.39s 1.37s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM576+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n012.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 17:41:47 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.39/1.37
% 0.39/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.39/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/1.37 %-----------------------------------------------------
% 0.39/1.37 ncf(matrix, plain, [(1667 ^ _193623) ^ [] : [xi = xj], (1669 ^ _193623) ^ [] : [sdtlseqdt0(szszuzczcdt0(xj), xi)], (1671 ^ _193623) ^ [] : [sdtlseqdt0(szszuzczcdt0(xi), xj)], (126 ^ _193623) ^ [_197672, _197674, _197676, _197678] : [-(sdtpldt0(_197678, _197674) = sdtpldt0(_197676, _197672)), _197678 = _197676, _197674 = _197672], (136 ^ _193623) ^ [_198003, _198005] : [_198005 = _198003, -(szmzazxdt0(_198005) = szmzazxdt0(_198003))], (142 ^ _193623) ^ [_198221, _198223] : [_198223 = _198221, -(slbdtrb0(_198223) = slbdtrb0(_198221))], (148 ^ _193623) ^ [_198439, _198441] : [_198441 = _198439, -(sbrdtbr0(_198441) = sbrdtbr0(_198439))], (154 ^ _193623) ^ [_198685, _198687, _198689, _198691] : [-(sdtexdt0(_198691, _198687) = sdtexdt0(_198689, _198685)), _198691 = _198689, _198687 = _198685], (164 ^ _193623) ^ [_199044, _199046, _199048, _199050] : [-(sdtlbdtrb0(_199050, _199046) = sdtlbdtrb0(_199048, _199044)), _199050 = _199048, _199046 = _199044], (174 ^ _193623) ^ [_199375, _199377] : [_199377 = _199375, -(szDzizrdt0(_199377) = szDzizrdt0(_199375))], (180 ^ _193623) ^ [_199621, _199623, _199625, _199627] : [-(sdtlcdtrc0(_199627, _199623) = sdtlcdtrc0(_199625, _199621)), _199627 = _199625, _199623 = _199621], (190 ^ _193623) ^ [_199980, _199982, _199984, _199986] : [-(slbdtsldtrb0(_199986, _199982) = slbdtsldtrb0(_199984, _199980)), _199986 = _199984, _199982 = _199980], (200 ^ _193623) ^ [_200311, _200313] : [_200313 = _200311, -(szDzozmdt0(_200313) = szDzozmdt0(_200311))], (206 ^ _193623) ^ [_200557, _200559, _200561, _200563] : [-(sdtmndt0(_200563, _200559) = sdtmndt0(_200561, _200557)), _200563 = _200561, _200559 = _200557], (216 ^ _193623) ^ [_200888, _200890] : [_200890 = _200888, -(szmzizndt0(_200890) = szmzizndt0(_200888))], (232 ^ _193623) ^ [_201445, _201447] : [_201447 = _201445, -(szszuzczcdt0(_201447) = szszuzczcdt0(_201445))], (222 ^ _193623) ^ [_201134, _201136, _201138, _201140] : [-(sdtlpdtrp0(_201140, _201136) = sdtlpdtrp0(_201138, _201134)), _201140 = _201138, _201136 = _201134], (2 ^ _193623) ^ [_193767] : [-(_193767 = _193767)], (4 ^ _193623) ^ [_193874, _193876] : [_193876 = _193874, -(_193874 = _193876)], (10 ^ _193623) ^ [_194078, _194080, _194082] : [-(_194082 = _194078), _194082 = _194080, _194080 = _194078], (20 ^ _193623) ^ [_194391, _194393] : [-(aElement0(_194391)), _194393 = _194391, aElement0(_194393)], (30 ^ _193623) ^ [_194686, _194688] : [-(aSet0(_194686)), _194688 = _194686, aSet0(_194688)], (40 ^ _193623) ^ [_194981, _194983] : [-(isFinite0(_194981)), _194983 = _194981, isFinite0(_194983)], (50 ^ _193623) ^ [_195304, _195306, _195308, _195310] : [-(iLess0(_195308, _195304)), iLess0(_195310, _195306), _195310 = _195308, _195306 = _195304], (64 ^ _193623) ^ [_195720, _195722] : [-(aFunction0(_195720)), _195722 = _195720, aFunction0(_195722)], (74 ^ _193623) ^ [_196015, _196017] : [-(isCountable0(_196015)), _196017 = _196015, isCountable0(_196017)], (84 ^ _193623) ^ [_196338, _196340, _196342, _196344] : [-(aSubsetOf0(_196342, _196338)), aSubsetOf0(_196344, _196340), _196344 = _196342, _196340 = _196338], (98 ^ _193623) ^ [_196782, _196784, _196786, _196788] : [-(aElementOf0(_196786, _196782)), aElementOf0(_196788, _196784), _196788 = _196786, _196784 = _196782], (112 ^ _193623) ^ [_197206, _197208, _197210, _197212] : [-(sdtlseqdt0(_197210, _197206)), sdtlseqdt0(_197212, _197208), _197212 = _197210, _197208 = _197206], (238 ^ _193623) ^ [_201735] : [aSet0(_201735), true___, -(true___)], (248 ^ _193623) ^ [_201990] : [aElement0(_201990), true___, -(true___)], (258 ^ _193623) ^ [_202245] : [aSet0(_202245), 261 ^ _193623 : [(262 ^ _193623) ^ [_202375] : [aElementOf0(_202375, _202245), -(aElement0(_202375))]]], (268 ^ _193623) ^ [_202576] : [aSet0(_202576), isFinite0(_202576), true___, -(true___)], (282 ^ _193623) ^ [_202946] : [_202946 = slcrc0, 285 ^ _193623 : [(286 ^ _193623) ^ [] : [-(aSet0(_202946))], (288 ^ _193623) ^ [_203127] : [aElementOf0(_203127, _202946)]]], (290 ^ _193623) ^ [_203195] : [-(_203195 = slcrc0), aSet0(_203195), -(aElementOf0(295 ^ [_203195], _203195))], (301 ^ _193623) ^ [] : [-(isFinite0(slcrc0))], (303 ^ _193623) ^ [_203577] : [aSet0(_203577), isCountable0(_203577), true___, -(true___)], (317 ^ _193623) ^ [_203918] : [isFinite0(_203918), aSet0(_203918), isCountable0(_203918)], (327 ^ _193623) ^ [_204188] : [_204188 = slcrc0, aSet0(_204188), isCountable0(_204188)], (337 ^ _193623) ^ [_204460] : [aSet0(_204460), 340 ^ _193623 : [(341 ^ _193623) ^ [_204636] : [aSubsetOf0(_204636, _204460), 344 ^ _193623 : [(345 ^ _193623) ^ [] : [-(aSet0(_204636))], (347 ^ _193623) ^ [_204845] : [aElementOf0(_204845, _204636), -(aElementOf0(_204845, _204460))]]], (353 ^ _193623) ^ [_205024] : [-(aSubsetOf0(_205024, _204460)), aSet0(_205024), 359 ^ _193623 : [(360 ^ _193623) ^ [] : [-(aElementOf0(358 ^ [_204460, _205024], _205024))], (362 ^ _193623) ^ [] : [aElementOf0(358 ^ [_204460, _205024], _204460)]]]]], (366 ^ _193623) ^ [_205461] : [aSet0(_205461), isFinite0(_205461), 373 ^ _193623 : [(374 ^ _193623) ^ [_205674] : [aSubsetOf0(_205674, _205461), -(isFinite0(_205674))]]], (380 ^ _193623) ^ [_205877] : [aSet0(_205877), -(aSubsetOf0(_205877, _205877))], (386 ^ _193623) ^ [_206079, _206081] : [aSet0(_206081), aSet0(_206079), -(_206081 = _206079), aSubsetOf0(_206081, _206079), aSubsetOf0(_206079, _206081)], (404 ^ _193623) ^ [_206568, _206570, _206572] : [aSet0(_206572), aSet0(_206570), aSet0(_206568), -(aSubsetOf0(_206572, _206568)), aSubsetOf0(_206572, _206570), aSubsetOf0(_206570, _206568)], (426 ^ _193623) ^ [_207154, _207156] : [aSet0(_207156), aElement0(_207154), 433 ^ _193623 : [(464 ^ _193623) ^ [_208415] : [-(_208415 = sdtpldt0(_207156, _207154)), aSet0(_208415), 472 ^ _193623 : [(473 ^ _193623) ^ [] : [-(aElementOf0(469 ^ [_207154, _207156, _208415], _208415))], (475 ^ _193623) ^ [] : [aElement0(469 ^ [_207154, _207156, _208415]), 478 ^ _193623 : [(479 ^ _193623) ^ [] : [aElementOf0(469 ^ [_207154, _207156, _208415], _207156)], (481 ^ _193623) ^ [] : [469 ^ [_207154, _207156, _208415] = _207154]]]], 482 ^ _193623 : [(491 ^ _193623) ^ [] : [aElementOf0(469 ^ [_207154, _207156, _208415], _208415)], (483 ^ _193623) ^ [] : [-(aElement0(469 ^ [_207154, _207156, _208415]))], (485 ^ _193623) ^ [] : [-(aElementOf0(469 ^ [_207154, _207156, _208415], _207156)), -(469 ^ [_207154, _207156, _208415] = _207154)]]], (434 ^ _193623) ^ [_207435] : [_207435 = sdtpldt0(_207156, _207154), 437 ^ _193623 : [(438 ^ _193623) ^ [] : [-(aSet0(_207435))], (440 ^ _193623) ^ [_207698] : [aElementOf0(_207698, _207435), 443 ^ _193623 : [(444 ^ _193623) ^ [] : [-(aElement0(_207698))], (446 ^ _193623) ^ [] : [-(aElementOf0(_207698, _207156)), -(_207698 = _207154)]]], (452 ^ _193623) ^ [_208053] : [-(aElementOf0(_208053, _207435)), aElement0(_208053), 457 ^ _193623 : [(458 ^ _193623) ^ [] : [aElementOf0(_208053, _207156)], (460 ^ _193623) ^ [] : [_208053 = _207154]]]]]]], (495 ^ _193623) ^ [_209452, _209454] : [aSet0(_209454), aElement0(_209452), 502 ^ _193623 : [(533 ^ _193623) ^ [_210720] : [-(_210720 = sdtmndt0(_209454, _209452)), aSet0(_210720), 553 ^ _193623 : [(554 ^ _193623) ^ [] : [-(aElement0(538 ^ [_209452, _209454, _210720]))], (556 ^ _193623) ^ [] : [-(aElementOf0(538 ^ [_209452, _209454, _210720], _209454))], (558 ^ _193623) ^ [] : [538 ^ [_209452, _209454, _210720] = _209452], (560 ^ _193623) ^ [] : [aElementOf0(538 ^ [_209452, _209454, _210720], _210720)]], 541 ^ _193623 : [(542 ^ _193623) ^ [] : [-(aElementOf0(538 ^ [_209452, _209454, _210720], _210720))], (544 ^ _193623) ^ [] : [aElement0(538 ^ [_209452, _209454, _210720]), aElementOf0(538 ^ [_209452, _209454, _210720], _209454), -(538 ^ [_209452, _209454, _210720] = _209452)]]], (503 ^ _193623) ^ [_209735] : [_209735 = sdtmndt0(_209454, _209452), 506 ^ _193623 : [(507 ^ _193623) ^ [] : [-(aSet0(_209735))], (509 ^ _193623) ^ [_210000] : [aElementOf0(_210000, _209735), 512 ^ _193623 : [(513 ^ _193623) ^ [] : [-(aElement0(_210000))], (515 ^ _193623) ^ [] : [-(aElementOf0(_210000, _209454))], (517 ^ _193623) ^ [] : [_210000 = _209452]]], (519 ^ _193623) ^ [_210336] : [-(aElementOf0(_210336, _209735)), aElement0(_210336), aElementOf0(_210336, _209454), -(_210336 = _209452)]]]]], (564 ^ _193623) ^ [_211750] : [aSet0(_211750), 567 ^ _193623 : [(568 ^ _193623) ^ [_211887] : [aElementOf0(_211887, _211750), -(sdtpldt0(sdtmndt0(_211750, _211887), _211887) = _211750)]]], (574 ^ _193623) ^ [_212116, _212118] : [aElement0(_212118), aSet0(_212116), -(aElementOf0(_212118, _212116)), -(sdtmndt0(sdtpldt0(_212116, _212118), _212118) = _212116)], (588 ^ _193623) ^ [_212503] : [aElement0(_212503), 591 ^ _193623 : [(592 ^ _193623) ^ [_212640] : [-(isCountable0(sdtpldt0(_212640, _212503))), aSet0(_212640), isCountable0(_212640)]]], (602 ^ _193623) ^ [_212932] : [aElement0(_212932), 605 ^ _193623 : [(606 ^ _193623) ^ [_213069] : [-(isCountable0(sdtmndt0(_213069, _212932))), aSet0(_213069), isCountable0(_213069)]]], (616 ^ _193623) ^ [_213361] : [aElement0(_213361), 619 ^ _193623 : [(620 ^ _193623) ^ [_213498] : [-(isFinite0(sdtpldt0(_213498, _213361))), aSet0(_213498), isFinite0(_213498)]]], (630 ^ _193623) ^ [_213790] : [aElement0(_213790), 633 ^ _193623 : [(634 ^ _193623) ^ [_213927] : [-(isFinite0(sdtmndt0(_213927, _213790))), aSet0(_213927), isFinite0(_213927)]]], (644 ^ _193623) ^ [] : [-(aSet0(szNzAzT0))], (646 ^ _193623) ^ [] : [-(isCountable0(szNzAzT0))], (648 ^ _193623) ^ [] : [-(aElementOf0(sz00, szNzAzT0))], (650 ^ _193623) ^ [_214380] : [aElementOf0(_214380, szNzAzT0), 653 ^ _193623 : [(654 ^ _193623) ^ [] : [-(aElementOf0(szszuzczcdt0(_214380), szNzAzT0))], (656 ^ _193623) ^ [] : [szszuzczcdt0(_214380) = sz00]]], (658 ^ _193623) ^ [_214666, _214668] : [aElementOf0(_214668, szNzAzT0), aElementOf0(_214666, szNzAzT0), szszuzczcdt0(_214668) = szszuzczcdt0(_214666), -(_214668 = _214666)], (672 ^ _193623) ^ [_215050] : [aElementOf0(_215050, szNzAzT0), -(_215050 = sz00), 680 ^ _193623 : [(681 ^ _193623) ^ [] : [-(aElementOf0(679 ^ [_215050], szNzAzT0))], (683 ^ _193623) ^ [] : [-(_215050 = szszuzczcdt0(679 ^ [_215050]))]]], (685 ^ _193623) ^ [_215467] : [aElementOf0(_215467, szNzAzT0), _215467 = szszuzczcdt0(_215467)], (691 ^ _193623) ^ [_215676, _215678] : [aElementOf0(_215678, szNzAzT0), aElementOf0(_215676, szNzAzT0), sdtlseqdt0(_215678, _215676), true___, -(true___)], (709 ^ _193623) ^ [_216126] : [aElementOf0(_216126, szNzAzT0), -(sdtlseqdt0(sz00, _216126))], (715 ^ _193623) ^ [_216316] : [aElementOf0(_216316, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_216316), sz00)], (721 ^ _193623) ^ [_216525, _216527] : [aElementOf0(_216527, szNzAzT0), aElementOf0(_216525, szNzAzT0), 728 ^ _193623 : [(729 ^ _193623) ^ [] : [sdtlseqdt0(_216527, _216525), -(sdtlseqdt0(szszuzczcdt0(_216527), szszuzczcdt0(_216525)))], (735 ^ _193623) ^ [] : [sdtlseqdt0(szszuzczcdt0(_216527), szszuzczcdt0(_216525)), -(sdtlseqdt0(_216527, _216525))]]], (741 ^ _193623) ^ [_217074] : [aElementOf0(_217074, szNzAzT0), -(sdtlseqdt0(_217074, szszuzczcdt0(_217074)))], (747 ^ _193623) ^ [_217268] : [aElementOf0(_217268, szNzAzT0), -(sdtlseqdt0(_217268, _217268))], (753 ^ _193623) ^ [_217472, _217474] : [aElementOf0(_217474, szNzAzT0), aElementOf0(_217472, szNzAzT0), -(_217474 = _217472), sdtlseqdt0(_217474, _217472), sdtlseqdt0(_217472, _217474)], (771 ^ _193623) ^ [_217965, _217967, _217969] : [aElementOf0(_217969, szNzAzT0), aElementOf0(_217967, szNzAzT0), aElementOf0(_217965, szNzAzT0), -(sdtlseqdt0(_217969, _217965)), sdtlseqdt0(_217969, _217967), sdtlseqdt0(_217967, _217965)], (793 ^ _193623) ^ [_218557, _218559] : [aElementOf0(_218559, szNzAzT0), aElementOf0(_218557, szNzAzT0), -(sdtlseqdt0(_218559, _218557)), -(sdtlseqdt0(szszuzczcdt0(_218557), _218559))], (807 ^ _193623) ^ [_218952, _218954] : [aElementOf0(_218954, szNzAzT0), aElementOf0(_218952, szNzAzT0), iLess0(_218954, _218952), true___, -(true___)], (825 ^ _193623) ^ [_219402] : [aElementOf0(_219402, szNzAzT0), -(iLess0(_219402, szszuzczcdt0(_219402)))], (831 ^ _193623) ^ [_219596] : [aSet0(_219596), -(aElement0(sbrdtbr0(_219596)))], (837 ^ _193623) ^ [_219786] : [aSet0(_219786), 840 ^ _193623 : [(841 ^ _193623) ^ [] : [aElementOf0(sbrdtbr0(_219786), szNzAzT0), -(isFinite0(_219786))], (847 ^ _193623) ^ [] : [isFinite0(_219786), -(aElementOf0(sbrdtbr0(_219786), szNzAzT0))]]], (853 ^ _193623) ^ [_220217] : [aSet0(_220217), 856 ^ _193623 : [(857 ^ _193623) ^ [] : [sbrdtbr0(_220217) = sz00, -(_220217 = slcrc0)], (863 ^ _193623) ^ [] : [_220217 = slcrc0, -(sbrdtbr0(_220217) = sz00)]]], (869 ^ _193623) ^ [_220651] : [aSet0(_220651), isFinite0(_220651), 876 ^ _193623 : [(877 ^ _193623) ^ [_220881] : [aElement0(_220881), -(aElementOf0(_220881, _220651)), -(sbrdtbr0(sdtpldt0(_220651, _220881)) = szszuzczcdt0(sbrdtbr0(_220651)))]]], (887 ^ _193623) ^ [_221194] : [aSet0(_221194), 890 ^ _193623 : [(891 ^ _193623) ^ [_221339] : [-(szszuzczcdt0(sbrdtbr0(sdtmndt0(_221194, _221339))) = sbrdtbr0(_221194)), isFinite0(_221194), aElementOf0(_221339, _221194)]]], (901 ^ _193623) ^ [_221647] : [aSet0(_221647), 904 ^ _193623 : [(905 ^ _193623) ^ [_221787] : [-(sdtlseqdt0(sbrdtbr0(_221787), sbrdtbr0(_221647))), isFinite0(_221647), aSubsetOf0(_221787, _221647)]]], (915 ^ _193623) ^ [_222099, _222101] : [aSet0(_222101), aElementOf0(_222099, szNzAzT0), 931 ^ _193623 : [(932 ^ _193623) ^ [] : [-(aSubsetOf0(930 ^ [_222099, _222101], _222101))], (934 ^ _193623) ^ [] : [-(sbrdtbr0(930 ^ [_222099, _222101]) = _222099)]], isFinite0(_222101), sdtlseqdt0(_222099, sbrdtbr0(_222101))], (936 ^ _193623) ^ [_222715] : [aSubsetOf0(_222715, szNzAzT0), -(_222715 = slcrc0), 943 ^ _193623 : [(944 ^ _193623) ^ [_222984] : [_222984 = szmzizndt0(_222715), 947 ^ _193623 : [(948 ^ _193623) ^ [] : [-(aElementOf0(_222984, _222715))], (950 ^ _193623) ^ [_223199] : [aElementOf0(_223199, _222715), -(sdtlseqdt0(_222984, _223199))]]], (956 ^ _193623) ^ [_223378] : [-(_223378 = szmzizndt0(_222715)), aElementOf0(_223378, _222715), 962 ^ _193623 : [(963 ^ _193623) ^ [] : [-(aElementOf0(961 ^ [_222715, _223378], _222715))], (965 ^ _193623) ^ [] : [sdtlseqdt0(_223378, 961 ^ [_222715, _223378])]]]]], (969 ^ _193623) ^ [_223823] : [aSubsetOf0(_223823, szNzAzT0), isFinite0(_223823), -(_223823 = slcrc0), 980 ^ _193623 : [(981 ^ _193623) ^ [_224175] : [_224175 = szmzazxdt0(_223823), 984 ^ _193623 : [(985 ^ _193623) ^ [] : [-(aElementOf0(_224175, _223823))], (987 ^ _193623) ^ [_224390] : [aElementOf0(_224390, _223823), -(sdtlseqdt0(_224390, _224175))]]], (993 ^ _193623) ^ [_224569] : [-(_224569 = szmzazxdt0(_223823)), aElementOf0(_224569, _223823), 999 ^ _193623 : [(1000 ^ _193623) ^ [] : [-(aElementOf0(998 ^ [_223823, _224569], _223823))], (1002 ^ _193623) ^ [] : [sdtlseqdt0(998 ^ [_223823, _224569], _224569)]]]]], (1006 ^ _193623) ^ [_225030, _225032] : [-(szmzizndt0(_225032) = szmzizndt0(_225030)), aElementOf0(szmzizndt0(_225032), _225030), aElementOf0(szmzizndt0(_225030), _225032), aSubsetOf0(_225032, szNzAzT0), aSubsetOf0(_225030, szNzAzT0), -(_225032 = slcrc0), -(_225030 = slcrc0)], (1032 ^ _193623) ^ [_225697] : [aElementOf0(_225697, szNzAzT0), 1035 ^ _193623 : [(1060 ^ _193623) ^ [_226666] : [-(_226666 = slbdtrb0(_225697)), aSet0(_226666), 1076 ^ _193623 : [(1077 ^ _193623) ^ [] : [-(aElementOf0(1065 ^ [_225697, _226666], szNzAzT0))], (1079 ^ _193623) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(1065 ^ [_225697, _226666]), _225697))], (1081 ^ _193623) ^ [] : [aElementOf0(1065 ^ [_225697, _226666], _226666)]], 1068 ^ _193623 : [(1069 ^ _193623) ^ [] : [-(aElementOf0(1065 ^ [_225697, _226666], _226666))], (1071 ^ _193623) ^ [] : [aElementOf0(1065 ^ [_225697, _226666], szNzAzT0), sdtlseqdt0(szszuzczcdt0(1065 ^ [_225697, _226666]), _225697)]]], (1036 ^ _193623) ^ [_225885] : [_225885 = slbdtrb0(_225697), 1039 ^ _193623 : [(1040 ^ _193623) ^ [] : [-(aSet0(_225885))], (1042 ^ _193623) ^ [_226135] : [aElementOf0(_226135, _225885), 1045 ^ _193623 : [(1046 ^ _193623) ^ [] : [-(aElementOf0(_226135, szNzAzT0))], (1048 ^ _193623) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_226135), _225697))]]], (1050 ^ _193623) ^ [_226388] : [-(aElementOf0(_226388, _225885)), aElementOf0(_226388, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_226388), _225697)]]]]], (1085 ^ _193623) ^ [_227469] : [aElementOf0(_227469, szNzAzT0), -(isFinite0(slbdtrb0(_227469)))], (1091 ^ _193623) ^ [] : [-(slbdtrb0(sz00) = slcrc0)], (1093 ^ _193623) ^ [_227728, _227730] : [aElementOf0(_227730, szNzAzT0), aElementOf0(_227728, szNzAzT0), 1100 ^ _193623 : [(1111 ^ _193623) ^ [] : [1112 ^ _193623 : [(1113 ^ _193623) ^ [] : [aElementOf0(_227730, slbdtrb0(_227728))], (1115 ^ _193623) ^ [] : [_227730 = _227728]], -(aElementOf0(_227730, slbdtrb0(szszuzczcdt0(_227728))))], (1101 ^ _193623) ^ [] : [aElementOf0(_227730, slbdtrb0(szszuzczcdt0(_227728))), -(aElementOf0(_227730, slbdtrb0(_227728))), -(_227730 = _227728)]]], (1119 ^ _193623) ^ [_228455, _228457] : [aElementOf0(_228457, szNzAzT0), aElementOf0(_228455, szNzAzT0), 1126 ^ _193623 : [(1127 ^ _193623) ^ [] : [sdtlseqdt0(_228457, _228455), -(aSubsetOf0(slbdtrb0(_228457), slbdtrb0(_228455)))], (1133 ^ _193623) ^ [] : [aSubsetOf0(slbdtrb0(_228457), slbdtrb0(_228455)), -(sdtlseqdt0(_228457, _228455))]]], (1139 ^ _193623) ^ [_229004] : [1147 ^ _193623 : [(1148 ^ _193623) ^ [] : [-(aElementOf0(1146 ^ [_229004], szNzAzT0))], (1150 ^ _193623) ^ [] : [-(aSubsetOf0(_229004, slbdtrb0(1146 ^ [_229004])))]], aSubsetOf0(_229004, szNzAzT0), isFinite0(_229004)], (1152 ^ _193623) ^ [_229418] : [aElementOf0(_229418, szNzAzT0), -(sbrdtbr0(slbdtrb0(_229418)) = _229418)], (1158 ^ _193623) ^ [_229630, _229632] : [aSet0(_229632), aElementOf0(_229630, szNzAzT0), 1165 ^ _193623 : [(1190 ^ _193623) ^ [_230723] : [-(_230723 = slbdtsldtrb0(_229632, _229630)), aSet0(_230723), 1206 ^ _193623 : [(1207 ^ _193623) ^ [] : [-(aSubsetOf0(1195 ^ [_229630, _229632, _230723], _229632))], (1209 ^ _193623) ^ [] : [-(sbrdtbr0(1195 ^ [_229630, _229632, _230723]) = _229630)], (1211 ^ _193623) ^ [] : [aElementOf0(1195 ^ [_229630, _229632, _230723], _230723)]], 1198 ^ _193623 : [(1199 ^ _193623) ^ [] : [-(aElementOf0(1195 ^ [_229630, _229632, _230723], _230723))], (1201 ^ _193623) ^ [] : [aSubsetOf0(1195 ^ [_229630, _229632, _230723], _229632), sbrdtbr0(1195 ^ [_229630, _229632, _230723]) = _229630]]], (1166 ^ _193623) ^ [_229910] : [_229910 = slbdtsldtrb0(_229632, _229630), 1169 ^ _193623 : [(1170 ^ _193623) ^ [] : [-(aSet0(_229910))], (1172 ^ _193623) ^ [_230170] : [aElementOf0(_230170, _229910), 1175 ^ _193623 : [(1176 ^ _193623) ^ [] : [-(aSubsetOf0(_230170, _229632))], (1178 ^ _193623) ^ [] : [-(sbrdtbr0(_230170) = _229630)]]], (1180 ^ _193623) ^ [_230433] : [-(aElementOf0(_230433, _229910)), aSubsetOf0(_230433, _229632), sbrdtbr0(_230433) = _229630]]]]], (1215 ^ _193623) ^ [_231572] : [aSet0(_231572), isFinite0(_231572), 1222 ^ _193623 : [(1223 ^ _193623) ^ [_231788] : [aElementOf0(_231788, szNzAzT0), -(isFinite0(slbdtsldtrb0(_231572, _231788)))]]], (1229 ^ _193623) ^ [_231997] : [aSet0(_231997), -(isFinite0(_231997)), 1236 ^ _193623 : [(1237 ^ _193623) ^ [_232219] : [aElementOf0(_232219, szNzAzT0), slbdtsldtrb0(_231997, _232219) = slcrc0]]], (1243 ^ _193623) ^ [_232431] : [aSet0(_232431), isCountable0(_232431), 1250 ^ _193623 : [(1251 ^ _193623) ^ [_232655] : [-(isCountable0(slbdtsldtrb0(_232431, _232655))), aElementOf0(_232655, szNzAzT0), -(_232655 = sz00)]]], (1261 ^ _193623) ^ [_232956] : [aElementOf0(_232956, szNzAzT0), 1264 ^ _193623 : [(1265 ^ _193623) ^ [_233143, _233145] : [aSet0(_233145), aSet0(_233143), -(_232956 = sz00), -(aSubsetOf0(_233145, _233143)), aSubsetOf0(slbdtsldtrb0(_233145, _232956), slbdtsldtrb0(_233143, _232956)), -(slbdtsldtrb0(_233145, _232956) = slcrc0)]]], (1287 ^ _193623) ^ [_233762, _233764] : [aSet0(_233764), aElementOf0(_233762, szNzAzT0), 1294 ^ _193623 : [(1295 ^ _193623) ^ [_234013] : [1303 ^ _193623 : [(1304 ^ _193623) ^ [] : [-(aSubsetOf0(1302 ^ [_233762, _233764, _234013], _233764))], (1306 ^ _193623) ^ [] : [-(isFinite0(1302 ^ [_233762, _233764, _234013]))], (1308 ^ _193623) ^ [] : [-(aSubsetOf0(_234013, slbdtsldtrb0(1302 ^ [_233762, _233764, _234013], _233762)))]], aSubsetOf0(_234013, slbdtsldtrb0(_233764, _233762)), isFinite0(_234013)]]], (1310 ^ _193623) ^ [_234575] : [aFunction0(_234575), true___, -(true___)], (1320 ^ _193623) ^ [_234830] : [aFunction0(_234830), -(aSet0(szDzozmdt0(_234830)))], (1326 ^ _193623) ^ [_235020] : [aFunction0(_235020), 1329 ^ _193623 : [(1330 ^ _193623) ^ [_235155] : [aElementOf0(_235155, szDzozmdt0(_235020)), -(aElement0(sdtlpdtrp0(_235020, _235155)))]]], (1336 ^ _193623) ^ [_235380, _235382] : [aFunction0(_235382), aElement0(_235380), 1343 ^ _193623 : [(1368 ^ _193623) ^ [_236489] : [-(_236489 = sdtlbdtrb0(_235382, _235380)), aSet0(_236489), 1384 ^ _193623 : [(1385 ^ _193623) ^ [] : [-(aElementOf0(1373 ^ [_235380, _235382, _236489], szDzozmdt0(_235382)))], (1387 ^ _193623) ^ [] : [-(sdtlpdtrp0(_235382, 1373 ^ [_235380, _235382, _236489]) = _235380)], (1389 ^ _193623) ^ [] : [aElementOf0(1373 ^ [_235380, _235382, _236489], _236489)]], 1376 ^ _193623 : [(1377 ^ _193623) ^ [] : [-(aElementOf0(1373 ^ [_235380, _235382, _236489], _236489))], (1379 ^ _193623) ^ [] : [aElementOf0(1373 ^ [_235380, _235382, _236489], szDzozmdt0(_235382)), sdtlpdtrp0(_235382, 1373 ^ [_235380, _235382, _236489]) = _235380]]], (1344 ^ _193623) ^ [_235661] : [_235661 = sdtlbdtrb0(_235382, _235380), 1347 ^ _193623 : [(1348 ^ _193623) ^ [] : [-(aSet0(_235661))], (1350 ^ _193623) ^ [_235924] : [aElementOf0(_235924, _235661), 1353 ^ _193623 : [(1354 ^ _193623) ^ [] : [-(aElementOf0(_235924, szDzozmdt0(_235382)))], (1356 ^ _193623) ^ [] : [-(sdtlpdtrp0(_235382, _235924) = _235380)]]], (1358 ^ _193623) ^ [_236193] : [-(aElementOf0(_236193, _235661)), aElementOf0(_236193, szDzozmdt0(_235382)), sdtlpdtrp0(_235382, _236193) = _235380]]]]], (1393 ^ _193623) ^ [_237364, _237366] : [-(aSubsetOf0(sdtlbdtrb0(_237366, _237364), szDzozmdt0(_237366))), aFunction0(_237366), aElement0(_237364)], (1403 ^ _193623) ^ [_237655] : [aFunction0(_237655), 1406 ^ _193623 : [(1407 ^ _193623) ^ [_237832] : [aSubsetOf0(_237832, szDzozmdt0(_237655)), 1410 ^ _193623 : [(1436 ^ _193623) ^ [_239019] : [-(_239019 = sdtlcdtrc0(_237655, _237832)), aSet0(_239019), 1453 ^ _193623 : [(1454 ^ _193623) ^ [] : [-(aElementOf0(1452 ^ [_237655, _237832, _239019], _237832))], (1456 ^ _193623) ^ [] : [-(sdtlpdtrp0(_237655, 1452 ^ [_237655, _237832, _239019]) = 1441 ^ [_237655, _237832, _239019])], (1458 ^ _193623) ^ [] : [aElementOf0(1441 ^ [_237655, _237832, _239019], _239019)]], 1444 ^ _193623 : [(1445 ^ _193623) ^ [] : [-(aElementOf0(1441 ^ [_237655, _237832, _239019], _239019))], (1447 ^ _193623) ^ [_239412] : [aElementOf0(_239412, _237832), sdtlpdtrp0(_237655, _239412) = 1441 ^ [_237655, _237832, _239019]]]], (1411 ^ _193623) ^ [_238037] : [_238037 = sdtlcdtrc0(_237655, _237832), 1414 ^ _193623 : [(1415 ^ _193623) ^ [] : [-(aSet0(_238037))], (1417 ^ _193623) ^ [_238303] : [aElementOf0(_238303, _238037), 1421 ^ _193623 : [(1422 ^ _193623) ^ [] : [-(aElementOf0(1420 ^ [_237655, _237832, _238037, _238303], _237832))], (1424 ^ _193623) ^ [] : [-(sdtlpdtrp0(_237655, 1420 ^ [_237655, _237832, _238037, _238303]) = _238303)]]], (1426 ^ _193623) ^ [_238657] : [-(aElementOf0(_238657, _238037)), 1427 ^ _193623 : [(1428 ^ _193623) ^ [_238762] : [aElementOf0(_238762, _237832), sdtlpdtrp0(_237655, _238762) = _238657]]]]]]]]], (1462 ^ _193623) ^ [_240023] : [aFunction0(_240023), 1465 ^ _193623 : [(1466 ^ _193623) ^ [_240164] : [aElementOf0(_240164, szDzozmdt0(_240023)), -(aElementOf0(sdtlpdtrp0(_240023, _240164), sdtlcdtrc0(_240023, szDzozmdt0(_240023))))]]], (1472 ^ _193623) ^ [_240387] : [aFunction0(_240387), 1475 ^ _193623 : [(1476 ^ _193623) ^ [_240564] : [aSubsetOf0(_240564, szDzozmdt0(_240387)), 1479 ^ _193623 : [(1480 ^ _193623) ^ [_240769] : [_240769 = sdtexdt0(_240387, _240564), 1483 ^ _193623 : [(1484 ^ _193623) ^ [] : [-(aFunction0(_240769))], (1486 ^ _193623) ^ [] : [-(szDzozmdt0(_240769) = _240564)], (1488 ^ _193623) ^ [_241076] : [aElementOf0(_241076, _240564), -(sdtlpdtrp0(_240769, _241076) = sdtlpdtrp0(_240387, _241076))]]], (1494 ^ _193623) ^ [_241277] : [-(_241277 = sdtexdt0(_240387, _240564)), aFunction0(_241277), szDzozmdt0(_241277) = _240564, 1504 ^ _193623 : [(1505 ^ _193623) ^ [] : [-(aElementOf0(1503 ^ [_240387, _240564, _241277], _240564))], (1507 ^ _193623) ^ [] : [sdtlpdtrp0(_241277, 1503 ^ [_240387, _240564, _241277]) = sdtlpdtrp0(_240387, 1503 ^ [_240387, _240564, _241277])]]]]]]], (1511 ^ _193623) ^ [_241871] : [aFunction0(_241871), 1514 ^ _193623 : [(1515 ^ _193623) ^ [_242059] : [aSubsetOf0(_242059, szDzozmdt0(_241871)), isCountable0(_242059), 1526 ^ _193623 : [(1527 ^ _193623) ^ [] : [-(aElementOf0(1524 ^ [_241871, _242059], szDzozmdt0(_241871)))], (1529 ^ _193623) ^ [] : [-(aElementOf0(1525 ^ [_241871, _242059], szDzozmdt0(_241871)))], (1531 ^ _193623) ^ [] : [1524 ^ [_241871, _242059] = 1525 ^ [_241871, _242059]], (1533 ^ _193623) ^ [] : [-(sdtlpdtrp0(_241871, 1524 ^ [_241871, _242059]) = sdtlpdtrp0(_241871, 1525 ^ [_241871, _242059]))]], -(isCountable0(sdtlcdtrc0(_241871, _242059)))]]], (1537 ^ _193623) ^ [_242931] : [aFunction0(_242931), 1548 ^ _193623 : [(1549 ^ _193623) ^ [] : [-(aElement0(szDzizrdt0(_242931)))], (1551 ^ _193623) ^ [] : [-(isCountable0(sdtlbdtrb0(_242931, szDzizrdt0(_242931))))]], isCountable0(szDzozmdt0(_242931)), isFinite0(sdtlcdtrc0(_242931, szDzozmdt0(_242931)))], (1553 ^ _193623) ^ [] : [-(aSet0(xT))], (1555 ^ _193623) ^ [] : [-(isFinite0(xT))], (1557 ^ _193623) ^ [] : [-(aElementOf0(xK, szNzAzT0))], (1559 ^ _193623) ^ [] : [-(aSubsetOf0(xS, szNzAzT0))], (1561 ^ _193623) ^ [] : [-(isCountable0(xS))], (1563 ^ _193623) ^ [] : [-(aFunction0(xc))], (1565 ^ _193623) ^ [] : [-(szDzozmdt0(xc) = slbdtsldtrb0(xS, xK))], (1567 ^ _193623) ^ [] : [-(aSubsetOf0(sdtlcdtrc0(xc, szDzozmdt0(xc)), xT))], (1569 ^ _193623) ^ [_243814] : [aElementOf0(_243814, szNzAzT0), 1572 ^ _193623 : [(1573 ^ _193623) ^ [_244034] : [aSubsetOf0(_244034, szNzAzT0), isCountable0(_244034), 1580 ^ _193623 : [(1581 ^ _193623) ^ [_244331] : [aFunction0(_244331), szDzozmdt0(_244331) = slbdtsldtrb0(_244034, _243814), aSubsetOf0(sdtlcdtrc0(_244331, szDzozmdt0(_244331)), xT), iLess0(_243814, xK), 1597 ^ _193623 : [(1598 ^ _193623) ^ [] : [-(aElementOf0(1596 ^ [_243814, _244034, _244331], xT))], (1601 ^ _193623) ^ [] : [-(aSubsetOf0(1599 ^ [_243814, _244034, _244331], _244034))], (1603 ^ _193623) ^ [] : [-(isCountable0(1599 ^ [_243814, _244034, _244331]))], (1605 ^ _193623) ^ [_245206] : [aElementOf0(_245206, slbdtsldtrb0(1599 ^ [_243814, _244034, _244331], _243814)), -(sdtlpdtrp0(_244331, _245206) = 1596 ^ [_243814, _244034, _244331])]]]]]]], (1611 ^ _193623) ^ [] : [xK = sz00], (1613 ^ _193623) ^ [] : [xK = sz00], (1615 ^ _193623) ^ [] : [-(aElementOf0(xk, szNzAzT0))], (1617 ^ _193623) ^ [] : [-(szszuzczcdt0(xk) = xK)], (1619 ^ _193623) ^ [] : [-(aFunction0(xN))], (1621 ^ _193623) ^ [] : [-(szDzozmdt0(xN) = szNzAzT0)], (1623 ^ _193623) ^ [] : [-(sdtlpdtrp0(xN, sz00) = xS)], (1625 ^ _193623) ^ [_245870] : [aElementOf0(_245870, szNzAzT0), 1636 ^ _193623 : [(1637 ^ _193623) ^ [] : [-(aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(_245870)), sdtmndt0(sdtlpdtrp0(xN, _245870), szmzizndt0(sdtlpdtrp0(xN, _245870)))))], (1639 ^ _193623) ^ [] : [-(isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(_245870))))]], aSubsetOf0(sdtlpdtrp0(xN, _245870), szNzAzT0), isCountable0(sdtlpdtrp0(xN, _245870))], (1641 ^ _193623) ^ [_246359] : [aElementOf0(_246359, szNzAzT0), 1644 ^ _193623 : [(1645 ^ _193623) ^ [] : [-(aSubsetOf0(sdtlpdtrp0(xN, _246359), szNzAzT0))], (1647 ^ _193623) ^ [] : [-(isCountable0(sdtlpdtrp0(xN, _246359)))]]], (1663 ^ _193623) ^ [] : [-(aElementOf0(xi, szNzAzT0))], (1665 ^ _193623) ^ [] : [-(aElementOf0(xj, szNzAzT0))], (1649 ^ _193623) ^ [_246646, _246648] : [aElementOf0(_246648, szNzAzT0), aElementOf0(_246646, szNzAzT0), sdtlseqdt0(_246646, _246648), -(aSubsetOf0(sdtlpdtrp0(xN, _246648), sdtlpdtrp0(xN, _246646)))]], input).
% 0.39/1.37 ncf('1',plain,[xi = xj],start(1667 ^ 0)).
% 0.39/1.37 ncf('1.1',plain,[-(xi = xj), aElementOf0(xi, szNzAzT0), aElementOf0(xj, szNzAzT0), sdtlseqdt0(xi, xj), sdtlseqdt0(xj, xi)],extension(753 ^ 1,bind([[_217472, _217474], [xj, xi]]))).
% 0.39/1.37 ncf('1.1.1',plain,[-(aElementOf0(xi, szNzAzT0))],extension(1663 ^ 2)).
% 0.39/1.37 ncf('1.1.2',plain,[-(aElementOf0(xj, szNzAzT0))],extension(1665 ^ 2)).
% 0.39/1.37 ncf('1.1.3',plain,[-(sdtlseqdt0(xi, xj)), aElementOf0(xi, szNzAzT0), aElementOf0(xj, szNzAzT0), -(sdtlseqdt0(szszuzczcdt0(xj), xi))],extension(793 ^ 2,bind([[_218557, _218559], [xj, xi]]))).
% 0.39/1.37 ncf('1.1.3.1',plain,[-(aElementOf0(xi, szNzAzT0))],lemmata('[1].x')).
% 0.39/1.37 ncf('1.1.3.2',plain,[-(aElementOf0(xj, szNzAzT0))],lemmata('[1].x')).
% 0.39/1.37 ncf('1.1.3.3',plain,[sdtlseqdt0(szszuzczcdt0(xj), xi)],extension(1669 ^ 3)).
% 0.39/1.37 ncf('1.1.4',plain,[-(sdtlseqdt0(xj, xi)), aElementOf0(xj, szNzAzT0), aElementOf0(xi, szNzAzT0), -(sdtlseqdt0(szszuzczcdt0(xi), xj))],extension(793 ^ 2,bind([[_218557, _218559], [xi, xj]]))).
% 0.39/1.37 ncf('1.1.4.1',plain,[-(aElementOf0(xj, szNzAzT0))],lemmata('[1].x')).
% 0.39/1.37 ncf('1.1.4.2',plain,[-(aElementOf0(xi, szNzAzT0))],lemmata('[1].x')).
% 0.39/1.37 ncf('1.1.4.3',plain,[sdtlseqdt0(szszuzczcdt0(xi), xj)],extension(1671 ^ 3)).
% 0.39/1.37 %-----------------------------------------------------
% 0.39/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------