TSTP Solution File: NUM568+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM568+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n025.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 11:45:01 EDT 2023

% Result   : Theorem 101.21s 98.67s
% Output   : Proof 101.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM568+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 17:17:03 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 101.21/98.67  
% 101.21/98.67  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 101.21/98.67  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.21/98.67  %-----------------------------------------------------
% 101.21/98.67  ncf(matrix, plain, [(1615 ^ _186225) ^ [_238731] : [aElementOf0(_238731, szNzAzT0), szszuzczcdt0(_238731) = xK], (126 ^ _186225) ^ [_190274, _190276, _190278, _190280] : [-(sdtpldt0(_190280, _190276) = sdtpldt0(_190278, _190274)), _190280 = _190278, _190276 = _190274], (136 ^ _186225) ^ [_190633, _190635, _190637, _190639] : [-(sdtmndt0(_190639, _190635) = sdtmndt0(_190637, _190633)), _190639 = _190637, _190635 = _190633], (146 ^ _186225) ^ [_190964, _190966] : [_190966 = _190964, -(szmzazxdt0(_190966) = szmzazxdt0(_190964))], (152 ^ _186225) ^ [_191182, _191184] : [_191184 = _191182, -(szmzizndt0(_191184) = szmzizndt0(_191182))], (158 ^ _186225) ^ [_191400, _191402] : [_191402 = _191400, -(slbdtrb0(_191402) = slbdtrb0(_191400))], (164 ^ _186225) ^ [_191618, _191620] : [_191620 = _191618, -(sbrdtbr0(_191620) = sbrdtbr0(_191618))], (170 ^ _186225) ^ [_191864, _191866, _191868, _191870] : [-(sdtexdt0(_191870, _191866) = sdtexdt0(_191868, _191864)), _191870 = _191868, _191866 = _191864], (180 ^ _186225) ^ [_192223, _192225, _192227, _192229] : [-(sdtlbdtrb0(_192229, _192225) = sdtlbdtrb0(_192227, _192223)), _192229 = _192227, _192225 = _192223], (190 ^ _186225) ^ [_192554, _192556] : [_192556 = _192554, -(szDzizrdt0(_192556) = szDzizrdt0(_192554))], (196 ^ _186225) ^ [_192800, _192802, _192804, _192806] : [-(sdtlcdtrc0(_192806, _192802) = sdtlcdtrc0(_192804, _192800)), _192806 = _192804, _192802 = _192800], (206 ^ _186225) ^ [_193131, _193133] : [_193133 = _193131, -(szDzozmdt0(_193133) = szDzozmdt0(_193131))], (212 ^ _186225) ^ [_193377, _193379, _193381, _193383] : [-(slbdtsldtrb0(_193383, _193379) = slbdtsldtrb0(_193381, _193377)), _193383 = _193381, _193379 = _193377], (232 ^ _186225) ^ [_194047, _194049] : [_194049 = _194047, -(szszuzczcdt0(_194049) = szszuzczcdt0(_194047))], (222 ^ _186225) ^ [_193736, _193738, _193740, _193742] : [-(sdtlpdtrp0(_193742, _193738) = sdtlpdtrp0(_193740, _193736)), _193742 = _193740, _193738 = _193736], (2 ^ _186225) ^ [_186369] : [-(_186369 = _186369)], (4 ^ _186225) ^ [_186476, _186478] : [_186478 = _186476, -(_186476 = _186478)], (10 ^ _186225) ^ [_186680, _186682, _186684] : [-(_186684 = _186680), _186684 = _186682, _186682 = _186680], (20 ^ _186225) ^ [_187021, _187023, _187025, _187027] : [-(sdtlseqdt0(_187025, _187021)), sdtlseqdt0(_187027, _187023), _187027 = _187025, _187023 = _187021], (34 ^ _186225) ^ [_187437, _187439] : [-(aElement0(_187437)), _187439 = _187437, aElement0(_187439)], (44 ^ _186225) ^ [_187732, _187734] : [-(aSet0(_187732)), _187734 = _187732, aSet0(_187734)], (54 ^ _186225) ^ [_188027, _188029] : [-(isFinite0(_188027)), _188029 = _188027, isFinite0(_188029)], (64 ^ _186225) ^ [_188322, _188324] : [-(aFunction0(_188322)), _188324 = _188322, aFunction0(_188324)], (74 ^ _186225) ^ [_188645, _188647, _188649, _188651] : [-(iLess0(_188649, _188645)), iLess0(_188651, _188647), _188651 = _188649, _188647 = _188645], (88 ^ _186225) ^ [_189089, _189091, _189093, _189095] : [-(aSubsetOf0(_189093, _189089)), aSubsetOf0(_189095, _189091), _189095 = _189093, _189091 = _189089], (102 ^ _186225) ^ [_189505, _189507] : [-(isCountable0(_189505)), _189507 = _189505, isCountable0(_189507)], (112 ^ _186225) ^ [_189808, _189810, _189812, _189814] : [-(aElementOf0(_189812, _189808)), aElementOf0(_189814, _189810), _189814 = _189812, _189810 = _189808], (238 ^ _186225) ^ [_194337] : [aSet0(_194337), true___, -(true___)], (248 ^ _186225) ^ [_194592] : [aElement0(_194592), true___, -(true___)], (258 ^ _186225) ^ [_194847] : [aSet0(_194847), 261 ^ _186225 : [(262 ^ _186225) ^ [_194977] : [aElementOf0(_194977, _194847), -(aElement0(_194977))]]], (268 ^ _186225) ^ [_195178] : [aSet0(_195178), isFinite0(_195178), true___, -(true___)], (282 ^ _186225) ^ [_195548] : [_195548 = slcrc0, 285 ^ _186225 : [(286 ^ _186225) ^ [] : [-(aSet0(_195548))], (288 ^ _186225) ^ [_195729] : [aElementOf0(_195729, _195548)]]], (290 ^ _186225) ^ [_195797] : [-(_195797 = slcrc0), aSet0(_195797), -(aElementOf0(295 ^ [_195797], _195797))], (301 ^ _186225) ^ [] : [-(isFinite0(slcrc0))], (303 ^ _186225) ^ [_196179] : [aSet0(_196179), isCountable0(_196179), true___, -(true___)], (317 ^ _186225) ^ [_196520] : [isFinite0(_196520), aSet0(_196520), isCountable0(_196520)], (327 ^ _186225) ^ [_196790] : [_196790 = slcrc0, aSet0(_196790), isCountable0(_196790)], (337 ^ _186225) ^ [_197062] : [aSet0(_197062), 340 ^ _186225 : [(341 ^ _186225) ^ [_197238] : [aSubsetOf0(_197238, _197062), 344 ^ _186225 : [(345 ^ _186225) ^ [] : [-(aSet0(_197238))], (347 ^ _186225) ^ [_197447] : [aElementOf0(_197447, _197238), -(aElementOf0(_197447, _197062))]]], (353 ^ _186225) ^ [_197626] : [-(aSubsetOf0(_197626, _197062)), aSet0(_197626), 359 ^ _186225 : [(360 ^ _186225) ^ [] : [-(aElementOf0(358 ^ [_197062, _197626], _197626))], (362 ^ _186225) ^ [] : [aElementOf0(358 ^ [_197062, _197626], _197062)]]]]], (366 ^ _186225) ^ [_198063] : [aSet0(_198063), isFinite0(_198063), 373 ^ _186225 : [(374 ^ _186225) ^ [_198276] : [aSubsetOf0(_198276, _198063), -(isFinite0(_198276))]]], (380 ^ _186225) ^ [_198479] : [aSet0(_198479), -(aSubsetOf0(_198479, _198479))], (386 ^ _186225) ^ [_198681, _198683] : [aSet0(_198683), aSet0(_198681), -(_198683 = _198681), aSubsetOf0(_198683, _198681), aSubsetOf0(_198681, _198683)], (404 ^ _186225) ^ [_199170, _199172, _199174] : [aSet0(_199174), aSet0(_199172), aSet0(_199170), -(aSubsetOf0(_199174, _199170)), aSubsetOf0(_199174, _199172), aSubsetOf0(_199172, _199170)], (426 ^ _186225) ^ [_199756, _199758] : [aSet0(_199758), aElement0(_199756), 433 ^ _186225 : [(464 ^ _186225) ^ [_201017] : [-(_201017 = sdtpldt0(_199758, _199756)), aSet0(_201017), 472 ^ _186225 : [(473 ^ _186225) ^ [] : [-(aElementOf0(469 ^ [_199756, _199758, _201017], _201017))], (475 ^ _186225) ^ [] : [aElement0(469 ^ [_199756, _199758, _201017]), 478 ^ _186225 : [(479 ^ _186225) ^ [] : [aElementOf0(469 ^ [_199756, _199758, _201017], _199758)], (481 ^ _186225) ^ [] : [469 ^ [_199756, _199758, _201017] = _199756]]]], 482 ^ _186225 : [(491 ^ _186225) ^ [] : [aElementOf0(469 ^ [_199756, _199758, _201017], _201017)], (483 ^ _186225) ^ [] : [-(aElement0(469 ^ [_199756, _199758, _201017]))], (485 ^ _186225) ^ [] : [-(aElementOf0(469 ^ [_199756, _199758, _201017], _199758)), -(469 ^ [_199756, _199758, _201017] = _199756)]]], (434 ^ _186225) ^ [_200037] : [_200037 = sdtpldt0(_199758, _199756), 437 ^ _186225 : [(438 ^ _186225) ^ [] : [-(aSet0(_200037))], (440 ^ _186225) ^ [_200300] : [aElementOf0(_200300, _200037), 443 ^ _186225 : [(444 ^ _186225) ^ [] : [-(aElement0(_200300))], (446 ^ _186225) ^ [] : [-(aElementOf0(_200300, _199758)), -(_200300 = _199756)]]], (452 ^ _186225) ^ [_200655] : [-(aElementOf0(_200655, _200037)), aElement0(_200655), 457 ^ _186225 : [(458 ^ _186225) ^ [] : [aElementOf0(_200655, _199758)], (460 ^ _186225) ^ [] : [_200655 = _199756]]]]]]], (495 ^ _186225) ^ [_202054, _202056] : [aSet0(_202056), aElement0(_202054), 502 ^ _186225 : [(533 ^ _186225) ^ [_203322] : [-(_203322 = sdtmndt0(_202056, _202054)), aSet0(_203322), 553 ^ _186225 : [(554 ^ _186225) ^ [] : [-(aElement0(538 ^ [_202054, _202056, _203322]))], (556 ^ _186225) ^ [] : [-(aElementOf0(538 ^ [_202054, _202056, _203322], _202056))], (558 ^ _186225) ^ [] : [538 ^ [_202054, _202056, _203322] = _202054], (560 ^ _186225) ^ [] : [aElementOf0(538 ^ [_202054, _202056, _203322], _203322)]], 541 ^ _186225 : [(542 ^ _186225) ^ [] : [-(aElementOf0(538 ^ [_202054, _202056, _203322], _203322))], (544 ^ _186225) ^ [] : [aElement0(538 ^ [_202054, _202056, _203322]), aElementOf0(538 ^ [_202054, _202056, _203322], _202056), -(538 ^ [_202054, _202056, _203322] = _202054)]]], (503 ^ _186225) ^ [_202337] : [_202337 = sdtmndt0(_202056, _202054), 506 ^ _186225 : [(507 ^ _186225) ^ [] : [-(aSet0(_202337))], (509 ^ _186225) ^ [_202602] : [aElementOf0(_202602, _202337), 512 ^ _186225 : [(513 ^ _186225) ^ [] : [-(aElement0(_202602))], (515 ^ _186225) ^ [] : [-(aElementOf0(_202602, _202056))], (517 ^ _186225) ^ [] : [_202602 = _202054]]], (519 ^ _186225) ^ [_202938] : [-(aElementOf0(_202938, _202337)), aElement0(_202938), aElementOf0(_202938, _202056), -(_202938 = _202054)]]]]], (564 ^ _186225) ^ [_204352] : [aSet0(_204352), 567 ^ _186225 : [(568 ^ _186225) ^ [_204489] : [aElementOf0(_204489, _204352), -(sdtpldt0(sdtmndt0(_204352, _204489), _204489) = _204352)]]], (574 ^ _186225) ^ [_204718, _204720] : [aElement0(_204720), aSet0(_204718), -(aElementOf0(_204720, _204718)), -(sdtmndt0(sdtpldt0(_204718, _204720), _204720) = _204718)], (588 ^ _186225) ^ [_205105] : [aElement0(_205105), 591 ^ _186225 : [(592 ^ _186225) ^ [_205242] : [-(isCountable0(sdtpldt0(_205242, _205105))), aSet0(_205242), isCountable0(_205242)]]], (602 ^ _186225) ^ [_205534] : [aElement0(_205534), 605 ^ _186225 : [(606 ^ _186225) ^ [_205671] : [-(isCountable0(sdtmndt0(_205671, _205534))), aSet0(_205671), isCountable0(_205671)]]], (616 ^ _186225) ^ [_205963] : [aElement0(_205963), 619 ^ _186225 : [(620 ^ _186225) ^ [_206100] : [-(isFinite0(sdtpldt0(_206100, _205963))), aSet0(_206100), isFinite0(_206100)]]], (630 ^ _186225) ^ [_206392] : [aElement0(_206392), 633 ^ _186225 : [(634 ^ _186225) ^ [_206529] : [-(isFinite0(sdtmndt0(_206529, _206392))), aSet0(_206529), isFinite0(_206529)]]], (644 ^ _186225) ^ [] : [-(aSet0(szNzAzT0))], (646 ^ _186225) ^ [] : [-(isCountable0(szNzAzT0))], (648 ^ _186225) ^ [] : [-(aElementOf0(sz00, szNzAzT0))], (650 ^ _186225) ^ [_206982] : [aElementOf0(_206982, szNzAzT0), 653 ^ _186225 : [(654 ^ _186225) ^ [] : [-(aElementOf0(szszuzczcdt0(_206982), szNzAzT0))], (656 ^ _186225) ^ [] : [szszuzczcdt0(_206982) = sz00]]], (658 ^ _186225) ^ [_207268, _207270] : [aElementOf0(_207270, szNzAzT0), aElementOf0(_207268, szNzAzT0), szszuzczcdt0(_207270) = szszuzczcdt0(_207268), -(_207270 = _207268)], (672 ^ _186225) ^ [_207652] : [aElementOf0(_207652, szNzAzT0), -(_207652 = sz00), 680 ^ _186225 : [(681 ^ _186225) ^ [] : [-(aElementOf0(679 ^ [_207652], szNzAzT0))], (683 ^ _186225) ^ [] : [-(_207652 = szszuzczcdt0(679 ^ [_207652]))]]], (685 ^ _186225) ^ [_208069] : [aElementOf0(_208069, szNzAzT0), _208069 = szszuzczcdt0(_208069)], (691 ^ _186225) ^ [_208278, _208280] : [aElementOf0(_208280, szNzAzT0), aElementOf0(_208278, szNzAzT0), sdtlseqdt0(_208280, _208278), true___, -(true___)], (709 ^ _186225) ^ [_208728] : [aElementOf0(_208728, szNzAzT0), -(sdtlseqdt0(sz00, _208728))], (715 ^ _186225) ^ [_208918] : [aElementOf0(_208918, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_208918), sz00)], (721 ^ _186225) ^ [_209127, _209129] : [aElementOf0(_209129, szNzAzT0), aElementOf0(_209127, szNzAzT0), 728 ^ _186225 : [(729 ^ _186225) ^ [] : [sdtlseqdt0(_209129, _209127), -(sdtlseqdt0(szszuzczcdt0(_209129), szszuzczcdt0(_209127)))], (735 ^ _186225) ^ [] : [sdtlseqdt0(szszuzczcdt0(_209129), szszuzczcdt0(_209127)), -(sdtlseqdt0(_209129, _209127))]]], (741 ^ _186225) ^ [_209676] : [aElementOf0(_209676, szNzAzT0), -(sdtlseqdt0(_209676, szszuzczcdt0(_209676)))], (747 ^ _186225) ^ [_209870] : [aElementOf0(_209870, szNzAzT0), -(sdtlseqdt0(_209870, _209870))], (753 ^ _186225) ^ [_210074, _210076] : [aElementOf0(_210076, szNzAzT0), aElementOf0(_210074, szNzAzT0), -(_210076 = _210074), sdtlseqdt0(_210076, _210074), sdtlseqdt0(_210074, _210076)], (771 ^ _186225) ^ [_210567, _210569, _210571] : [aElementOf0(_210571, szNzAzT0), aElementOf0(_210569, szNzAzT0), aElementOf0(_210567, szNzAzT0), -(sdtlseqdt0(_210571, _210567)), sdtlseqdt0(_210571, _210569), sdtlseqdt0(_210569, _210567)], (793 ^ _186225) ^ [_211159, _211161] : [aElementOf0(_211161, szNzAzT0), aElementOf0(_211159, szNzAzT0), -(sdtlseqdt0(_211161, _211159)), -(sdtlseqdt0(szszuzczcdt0(_211159), _211161))], (807 ^ _186225) ^ [_211554, _211556] : [aElementOf0(_211556, szNzAzT0), aElementOf0(_211554, szNzAzT0), iLess0(_211556, _211554), true___, -(true___)], (825 ^ _186225) ^ [_212004] : [aElementOf0(_212004, szNzAzT0), -(iLess0(_212004, szszuzczcdt0(_212004)))], (831 ^ _186225) ^ [_212198] : [aSet0(_212198), -(aElement0(sbrdtbr0(_212198)))], (837 ^ _186225) ^ [_212388] : [aSet0(_212388), 840 ^ _186225 : [(841 ^ _186225) ^ [] : [aElementOf0(sbrdtbr0(_212388), szNzAzT0), -(isFinite0(_212388))], (847 ^ _186225) ^ [] : [isFinite0(_212388), -(aElementOf0(sbrdtbr0(_212388), szNzAzT0))]]], (853 ^ _186225) ^ [_212819] : [aSet0(_212819), 856 ^ _186225 : [(857 ^ _186225) ^ [] : [sbrdtbr0(_212819) = sz00, -(_212819 = slcrc0)], (863 ^ _186225) ^ [] : [_212819 = slcrc0, -(sbrdtbr0(_212819) = sz00)]]], (869 ^ _186225) ^ [_213253] : [aSet0(_213253), isFinite0(_213253), 876 ^ _186225 : [(877 ^ _186225) ^ [_213483] : [aElement0(_213483), -(aElementOf0(_213483, _213253)), -(sbrdtbr0(sdtpldt0(_213253, _213483)) = szszuzczcdt0(sbrdtbr0(_213253)))]]], (887 ^ _186225) ^ [_213796] : [aSet0(_213796), 890 ^ _186225 : [(891 ^ _186225) ^ [_213941] : [-(szszuzczcdt0(sbrdtbr0(sdtmndt0(_213796, _213941))) = sbrdtbr0(_213796)), isFinite0(_213796), aElementOf0(_213941, _213796)]]], (901 ^ _186225) ^ [_214249] : [aSet0(_214249), 904 ^ _186225 : [(905 ^ _186225) ^ [_214389] : [-(sdtlseqdt0(sbrdtbr0(_214389), sbrdtbr0(_214249))), isFinite0(_214249), aSubsetOf0(_214389, _214249)]]], (915 ^ _186225) ^ [_214701, _214703] : [aSet0(_214703), aElementOf0(_214701, szNzAzT0), 931 ^ _186225 : [(932 ^ _186225) ^ [] : [-(aSubsetOf0(930 ^ [_214701, _214703], _214703))], (934 ^ _186225) ^ [] : [-(sbrdtbr0(930 ^ [_214701, _214703]) = _214701)]], isFinite0(_214703), sdtlseqdt0(_214701, sbrdtbr0(_214703))], (936 ^ _186225) ^ [_215317] : [aSubsetOf0(_215317, szNzAzT0), -(_215317 = slcrc0), 943 ^ _186225 : [(944 ^ _186225) ^ [_215586] : [_215586 = szmzizndt0(_215317), 947 ^ _186225 : [(948 ^ _186225) ^ [] : [-(aElementOf0(_215586, _215317))], (950 ^ _186225) ^ [_215801] : [aElementOf0(_215801, _215317), -(sdtlseqdt0(_215586, _215801))]]], (956 ^ _186225) ^ [_215980] : [-(_215980 = szmzizndt0(_215317)), aElementOf0(_215980, _215317), 962 ^ _186225 : [(963 ^ _186225) ^ [] : [-(aElementOf0(961 ^ [_215317, _215980], _215317))], (965 ^ _186225) ^ [] : [sdtlseqdt0(_215980, 961 ^ [_215317, _215980])]]]]], (969 ^ _186225) ^ [_216425] : [aSubsetOf0(_216425, szNzAzT0), isFinite0(_216425), -(_216425 = slcrc0), 980 ^ _186225 : [(981 ^ _186225) ^ [_216777] : [_216777 = szmzazxdt0(_216425), 984 ^ _186225 : [(985 ^ _186225) ^ [] : [-(aElementOf0(_216777, _216425))], (987 ^ _186225) ^ [_216992] : [aElementOf0(_216992, _216425), -(sdtlseqdt0(_216992, _216777))]]], (993 ^ _186225) ^ [_217171] : [-(_217171 = szmzazxdt0(_216425)), aElementOf0(_217171, _216425), 999 ^ _186225 : [(1000 ^ _186225) ^ [] : [-(aElementOf0(998 ^ [_216425, _217171], _216425))], (1002 ^ _186225) ^ [] : [sdtlseqdt0(998 ^ [_216425, _217171], _217171)]]]]], (1006 ^ _186225) ^ [_217632, _217634] : [-(szmzizndt0(_217634) = szmzizndt0(_217632)), aElementOf0(szmzizndt0(_217634), _217632), aElementOf0(szmzizndt0(_217632), _217634), aSubsetOf0(_217634, szNzAzT0), aSubsetOf0(_217632, szNzAzT0), -(_217634 = slcrc0), -(_217632 = slcrc0)], (1032 ^ _186225) ^ [_218299] : [aElementOf0(_218299, szNzAzT0), 1035 ^ _186225 : [(1060 ^ _186225) ^ [_219268] : [-(_219268 = slbdtrb0(_218299)), aSet0(_219268), 1076 ^ _186225 : [(1077 ^ _186225) ^ [] : [-(aElementOf0(1065 ^ [_218299, _219268], szNzAzT0))], (1079 ^ _186225) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(1065 ^ [_218299, _219268]), _218299))], (1081 ^ _186225) ^ [] : [aElementOf0(1065 ^ [_218299, _219268], _219268)]], 1068 ^ _186225 : [(1069 ^ _186225) ^ [] : [-(aElementOf0(1065 ^ [_218299, _219268], _219268))], (1071 ^ _186225) ^ [] : [aElementOf0(1065 ^ [_218299, _219268], szNzAzT0), sdtlseqdt0(szszuzczcdt0(1065 ^ [_218299, _219268]), _218299)]]], (1036 ^ _186225) ^ [_218487] : [_218487 = slbdtrb0(_218299), 1039 ^ _186225 : [(1040 ^ _186225) ^ [] : [-(aSet0(_218487))], (1042 ^ _186225) ^ [_218737] : [aElementOf0(_218737, _218487), 1045 ^ _186225 : [(1046 ^ _186225) ^ [] : [-(aElementOf0(_218737, szNzAzT0))], (1048 ^ _186225) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_218737), _218299))]]], (1050 ^ _186225) ^ [_218990] : [-(aElementOf0(_218990, _218487)), aElementOf0(_218990, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_218990), _218299)]]]]], (1085 ^ _186225) ^ [_220071] : [aElementOf0(_220071, szNzAzT0), -(isFinite0(slbdtrb0(_220071)))], (1091 ^ _186225) ^ [] : [-(slbdtrb0(sz00) = slcrc0)], (1093 ^ _186225) ^ [_220330, _220332] : [aElementOf0(_220332, szNzAzT0), aElementOf0(_220330, szNzAzT0), 1100 ^ _186225 : [(1111 ^ _186225) ^ [] : [1112 ^ _186225 : [(1113 ^ _186225) ^ [] : [aElementOf0(_220332, slbdtrb0(_220330))], (1115 ^ _186225) ^ [] : [_220332 = _220330]], -(aElementOf0(_220332, slbdtrb0(szszuzczcdt0(_220330))))], (1101 ^ _186225) ^ [] : [aElementOf0(_220332, slbdtrb0(szszuzczcdt0(_220330))), -(aElementOf0(_220332, slbdtrb0(_220330))), -(_220332 = _220330)]]], (1119 ^ _186225) ^ [_221057, _221059] : [aElementOf0(_221059, szNzAzT0), aElementOf0(_221057, szNzAzT0), 1126 ^ _186225 : [(1127 ^ _186225) ^ [] : [sdtlseqdt0(_221059, _221057), -(aSubsetOf0(slbdtrb0(_221059), slbdtrb0(_221057)))], (1133 ^ _186225) ^ [] : [aSubsetOf0(slbdtrb0(_221059), slbdtrb0(_221057)), -(sdtlseqdt0(_221059, _221057))]]], (1139 ^ _186225) ^ [_221606] : [1147 ^ _186225 : [(1148 ^ _186225) ^ [] : [-(aElementOf0(1146 ^ [_221606], szNzAzT0))], (1150 ^ _186225) ^ [] : [-(aSubsetOf0(_221606, slbdtrb0(1146 ^ [_221606])))]], aSubsetOf0(_221606, szNzAzT0), isFinite0(_221606)], (1152 ^ _186225) ^ [_222020] : [aElementOf0(_222020, szNzAzT0), -(sbrdtbr0(slbdtrb0(_222020)) = _222020)], (1158 ^ _186225) ^ [_222232, _222234] : [aSet0(_222234), aElementOf0(_222232, szNzAzT0), 1165 ^ _186225 : [(1190 ^ _186225) ^ [_223325] : [-(_223325 = slbdtsldtrb0(_222234, _222232)), aSet0(_223325), 1206 ^ _186225 : [(1207 ^ _186225) ^ [] : [-(aSubsetOf0(1195 ^ [_222232, _222234, _223325], _222234))], (1209 ^ _186225) ^ [] : [-(sbrdtbr0(1195 ^ [_222232, _222234, _223325]) = _222232)], (1211 ^ _186225) ^ [] : [aElementOf0(1195 ^ [_222232, _222234, _223325], _223325)]], 1198 ^ _186225 : [(1199 ^ _186225) ^ [] : [-(aElementOf0(1195 ^ [_222232, _222234, _223325], _223325))], (1201 ^ _186225) ^ [] : [aSubsetOf0(1195 ^ [_222232, _222234, _223325], _222234), sbrdtbr0(1195 ^ [_222232, _222234, _223325]) = _222232]]], (1166 ^ _186225) ^ [_222512] : [_222512 = slbdtsldtrb0(_222234, _222232), 1169 ^ _186225 : [(1170 ^ _186225) ^ [] : [-(aSet0(_222512))], (1172 ^ _186225) ^ [_222772] : [aElementOf0(_222772, _222512), 1175 ^ _186225 : [(1176 ^ _186225) ^ [] : [-(aSubsetOf0(_222772, _222234))], (1178 ^ _186225) ^ [] : [-(sbrdtbr0(_222772) = _222232)]]], (1180 ^ _186225) ^ [_223035] : [-(aElementOf0(_223035, _222512)), aSubsetOf0(_223035, _222234), sbrdtbr0(_223035) = _222232]]]]], (1215 ^ _186225) ^ [_224174] : [aSet0(_224174), isFinite0(_224174), 1222 ^ _186225 : [(1223 ^ _186225) ^ [_224390] : [aElementOf0(_224390, szNzAzT0), -(isFinite0(slbdtsldtrb0(_224174, _224390)))]]], (1229 ^ _186225) ^ [_224599] : [aSet0(_224599), -(isFinite0(_224599)), 1236 ^ _186225 : [(1237 ^ _186225) ^ [_224821] : [aElementOf0(_224821, szNzAzT0), slbdtsldtrb0(_224599, _224821) = slcrc0]]], (1243 ^ _186225) ^ [_225033] : [aSet0(_225033), isCountable0(_225033), 1250 ^ _186225 : [(1251 ^ _186225) ^ [_225257] : [-(isCountable0(slbdtsldtrb0(_225033, _225257))), aElementOf0(_225257, szNzAzT0), -(_225257 = sz00)]]], (1261 ^ _186225) ^ [_225558] : [aElementOf0(_225558, szNzAzT0), 1264 ^ _186225 : [(1265 ^ _186225) ^ [_225745, _225747] : [aSet0(_225747), aSet0(_225745), -(_225558 = sz00), -(aSubsetOf0(_225747, _225745)), aSubsetOf0(slbdtsldtrb0(_225747, _225558), slbdtsldtrb0(_225745, _225558)), -(slbdtsldtrb0(_225747, _225558) = slcrc0)]]], (1287 ^ _186225) ^ [_226364, _226366] : [aSet0(_226366), aElementOf0(_226364, szNzAzT0), 1294 ^ _186225 : [(1295 ^ _186225) ^ [_226615] : [1303 ^ _186225 : [(1304 ^ _186225) ^ [] : [-(aSubsetOf0(1302 ^ [_226364, _226366, _226615], _226366))], (1306 ^ _186225) ^ [] : [-(isFinite0(1302 ^ [_226364, _226366, _226615]))], (1308 ^ _186225) ^ [] : [-(aSubsetOf0(_226615, slbdtsldtrb0(1302 ^ [_226364, _226366, _226615], _226364)))]], aSubsetOf0(_226615, slbdtsldtrb0(_226366, _226364)), isFinite0(_226615)]]], (1310 ^ _186225) ^ [_227177] : [aFunction0(_227177), true___, -(true___)], (1320 ^ _186225) ^ [_227432] : [aFunction0(_227432), -(aSet0(szDzozmdt0(_227432)))], (1326 ^ _186225) ^ [_227622] : [aFunction0(_227622), 1329 ^ _186225 : [(1330 ^ _186225) ^ [_227757] : [aElementOf0(_227757, szDzozmdt0(_227622)), -(aElement0(sdtlpdtrp0(_227622, _227757)))]]], (1336 ^ _186225) ^ [_227982, _227984] : [aFunction0(_227984), aElement0(_227982), 1343 ^ _186225 : [(1368 ^ _186225) ^ [_229091] : [-(_229091 = sdtlbdtrb0(_227984, _227982)), aSet0(_229091), 1384 ^ _186225 : [(1385 ^ _186225) ^ [] : [-(aElementOf0(1373 ^ [_227982, _227984, _229091], szDzozmdt0(_227984)))], (1387 ^ _186225) ^ [] : [-(sdtlpdtrp0(_227984, 1373 ^ [_227982, _227984, _229091]) = _227982)], (1389 ^ _186225) ^ [] : [aElementOf0(1373 ^ [_227982, _227984, _229091], _229091)]], 1376 ^ _186225 : [(1377 ^ _186225) ^ [] : [-(aElementOf0(1373 ^ [_227982, _227984, _229091], _229091))], (1379 ^ _186225) ^ [] : [aElementOf0(1373 ^ [_227982, _227984, _229091], szDzozmdt0(_227984)), sdtlpdtrp0(_227984, 1373 ^ [_227982, _227984, _229091]) = _227982]]], (1344 ^ _186225) ^ [_228263] : [_228263 = sdtlbdtrb0(_227984, _227982), 1347 ^ _186225 : [(1348 ^ _186225) ^ [] : [-(aSet0(_228263))], (1350 ^ _186225) ^ [_228526] : [aElementOf0(_228526, _228263), 1353 ^ _186225 : [(1354 ^ _186225) ^ [] : [-(aElementOf0(_228526, szDzozmdt0(_227984)))], (1356 ^ _186225) ^ [] : [-(sdtlpdtrp0(_227984, _228526) = _227982)]]], (1358 ^ _186225) ^ [_228795] : [-(aElementOf0(_228795, _228263)), aElementOf0(_228795, szDzozmdt0(_227984)), sdtlpdtrp0(_227984, _228795) = _227982]]]]], (1393 ^ _186225) ^ [_229966, _229968] : [-(aSubsetOf0(sdtlbdtrb0(_229968, _229966), szDzozmdt0(_229968))), aFunction0(_229968), aElement0(_229966)], (1403 ^ _186225) ^ [_230257] : [aFunction0(_230257), 1406 ^ _186225 : [(1407 ^ _186225) ^ [_230434] : [aSubsetOf0(_230434, szDzozmdt0(_230257)), 1410 ^ _186225 : [(1436 ^ _186225) ^ [_231621] : [-(_231621 = sdtlcdtrc0(_230257, _230434)), aSet0(_231621), 1453 ^ _186225 : [(1454 ^ _186225) ^ [] : [-(aElementOf0(1452 ^ [_230257, _230434, _231621], _230434))], (1456 ^ _186225) ^ [] : [-(sdtlpdtrp0(_230257, 1452 ^ [_230257, _230434, _231621]) = 1441 ^ [_230257, _230434, _231621])], (1458 ^ _186225) ^ [] : [aElementOf0(1441 ^ [_230257, _230434, _231621], _231621)]], 1444 ^ _186225 : [(1445 ^ _186225) ^ [] : [-(aElementOf0(1441 ^ [_230257, _230434, _231621], _231621))], (1447 ^ _186225) ^ [_232014] : [aElementOf0(_232014, _230434), sdtlpdtrp0(_230257, _232014) = 1441 ^ [_230257, _230434, _231621]]]], (1411 ^ _186225) ^ [_230639] : [_230639 = sdtlcdtrc0(_230257, _230434), 1414 ^ _186225 : [(1415 ^ _186225) ^ [] : [-(aSet0(_230639))], (1417 ^ _186225) ^ [_230905] : [aElementOf0(_230905, _230639), 1421 ^ _186225 : [(1422 ^ _186225) ^ [] : [-(aElementOf0(1420 ^ [_230257, _230434, _230639, _230905], _230434))], (1424 ^ _186225) ^ [] : [-(sdtlpdtrp0(_230257, 1420 ^ [_230257, _230434, _230639, _230905]) = _230905)]]], (1426 ^ _186225) ^ [_231259] : [-(aElementOf0(_231259, _230639)), 1427 ^ _186225 : [(1428 ^ _186225) ^ [_231364] : [aElementOf0(_231364, _230434), sdtlpdtrp0(_230257, _231364) = _231259]]]]]]]]], (1462 ^ _186225) ^ [_232625] : [aFunction0(_232625), 1465 ^ _186225 : [(1466 ^ _186225) ^ [_232766] : [aElementOf0(_232766, szDzozmdt0(_232625)), -(aElementOf0(sdtlpdtrp0(_232625, _232766), sdtlcdtrc0(_232625, szDzozmdt0(_232625))))]]], (1472 ^ _186225) ^ [_232989] : [aFunction0(_232989), 1475 ^ _186225 : [(1476 ^ _186225) ^ [_233166] : [aSubsetOf0(_233166, szDzozmdt0(_232989)), 1479 ^ _186225 : [(1480 ^ _186225) ^ [_233371] : [_233371 = sdtexdt0(_232989, _233166), 1483 ^ _186225 : [(1484 ^ _186225) ^ [] : [-(aFunction0(_233371))], (1486 ^ _186225) ^ [] : [-(szDzozmdt0(_233371) = _233166)], (1488 ^ _186225) ^ [_233678] : [aElementOf0(_233678, _233166), -(sdtlpdtrp0(_233371, _233678) = sdtlpdtrp0(_232989, _233678))]]], (1494 ^ _186225) ^ [_233879] : [-(_233879 = sdtexdt0(_232989, _233166)), aFunction0(_233879), szDzozmdt0(_233879) = _233166, 1504 ^ _186225 : [(1505 ^ _186225) ^ [] : [-(aElementOf0(1503 ^ [_232989, _233166, _233879], _233166))], (1507 ^ _186225) ^ [] : [sdtlpdtrp0(_233879, 1503 ^ [_232989, _233166, _233879]) = sdtlpdtrp0(_232989, 1503 ^ [_232989, _233166, _233879])]]]]]]], (1511 ^ _186225) ^ [_234473] : [aFunction0(_234473), 1514 ^ _186225 : [(1515 ^ _186225) ^ [_234661] : [aSubsetOf0(_234661, szDzozmdt0(_234473)), isCountable0(_234661), 1526 ^ _186225 : [(1527 ^ _186225) ^ [] : [-(aElementOf0(1524 ^ [_234473, _234661], szDzozmdt0(_234473)))], (1529 ^ _186225) ^ [] : [-(aElementOf0(1525 ^ [_234473, _234661], szDzozmdt0(_234473)))], (1531 ^ _186225) ^ [] : [1524 ^ [_234473, _234661] = 1525 ^ [_234473, _234661]], (1533 ^ _186225) ^ [] : [-(sdtlpdtrp0(_234473, 1524 ^ [_234473, _234661]) = sdtlpdtrp0(_234473, 1525 ^ [_234473, _234661]))]], -(isCountable0(sdtlcdtrc0(_234473, _234661)))]]], (1537 ^ _186225) ^ [_235533] : [aFunction0(_235533), 1548 ^ _186225 : [(1549 ^ _186225) ^ [] : [-(aElement0(szDzizrdt0(_235533)))], (1551 ^ _186225) ^ [] : [-(isCountable0(sdtlbdtrb0(_235533, szDzizrdt0(_235533))))]], isCountable0(szDzozmdt0(_235533)), isFinite0(sdtlcdtrc0(_235533, szDzozmdt0(_235533)))], (1553 ^ _186225) ^ [] : [-(aSet0(xT))], (1555 ^ _186225) ^ [] : [-(isFinite0(xT))], (1557 ^ _186225) ^ [] : [-(aElementOf0(xK, szNzAzT0))], (1559 ^ _186225) ^ [] : [-(aSubsetOf0(xS, szNzAzT0))], (1561 ^ _186225) ^ [] : [-(isCountable0(xS))], (1563 ^ _186225) ^ [] : [-(aFunction0(xc))], (1565 ^ _186225) ^ [] : [-(szDzozmdt0(xc) = slbdtsldtrb0(xS, xK))], (1567 ^ _186225) ^ [] : [-(aSubsetOf0(sdtlcdtrc0(xc, szDzozmdt0(xc)), xT))], (1611 ^ _186225) ^ [] : [xK = sz00], (1613 ^ _186225) ^ [] : [xK = sz00], (1569 ^ _186225) ^ [_236416] : [aElementOf0(_236416, szNzAzT0), 1572 ^ _186225 : [(1573 ^ _186225) ^ [_236636] : [aSubsetOf0(_236636, szNzAzT0), isCountable0(_236636), 1580 ^ _186225 : [(1581 ^ _186225) ^ [_236933] : [aFunction0(_236933), szDzozmdt0(_236933) = slbdtsldtrb0(_236636, _236416), aSubsetOf0(sdtlcdtrc0(_236933, szDzozmdt0(_236933)), xT), iLess0(_236416, xK), 1597 ^ _186225 : [(1598 ^ _186225) ^ [] : [-(aElementOf0(1596 ^ [_236416, _236636, _236933], xT))], (1601 ^ _186225) ^ [] : [-(aSubsetOf0(1599 ^ [_236416, _236636, _236933], _236636))], (1603 ^ _186225) ^ [] : [-(isCountable0(1599 ^ [_236416, _236636, _236933]))], (1605 ^ _186225) ^ [_237808] : [aElementOf0(_237808, slbdtsldtrb0(1599 ^ [_236416, _236636, _236933], _236416)), -(sdtlpdtrp0(_236933, _237808) = 1596 ^ [_236416, _236636, _236933])]]]]]]]], input).
% 101.21/98.67  ncf('1',plain,[aElementOf0(679 ^ [xK], szNzAzT0), szszuzczcdt0(679 ^ [xK]) = xK],start(1615 ^ 0,bind([[_238731], [679 ^ [xK]]]))).
% 101.21/98.67  ncf('1.1',plain,[-(aElementOf0(679 ^ [xK], szNzAzT0)), aElementOf0(679 ^ [xK], szNzAzT0), 679 ^ [xK] = 679 ^ [xK], szNzAzT0 = szNzAzT0],extension(112 ^ 1,bind([[_189808, _189810, _189812, _189814], [szNzAzT0, szNzAzT0, 679 ^ [xK], 679 ^ [xK]]]))).
% 101.21/98.67  ncf('1.1.1',plain,[-(aElementOf0(679 ^ [xK], szNzAzT0)), aElementOf0(xK, szNzAzT0), -(xK = sz00)],extension(672 ^ 2,bind([[_207652], [xK]]))).
% 101.21/98.67  ncf('1.1.1.1',plain,[-(aElementOf0(xK, szNzAzT0))],extension(1557 ^ 3)).
% 101.21/98.67  ncf('1.1.1.2',plain,[xK = sz00],extension(1611 ^ 3)).
% 101.21/98.67  ncf('1.1.2',plain,[-(679 ^ [xK] = 679 ^ [xK])],extension(2 ^ 2,bind([[_186369], [679 ^ [xK]]]))).
% 101.21/98.67  ncf('1.1.3',plain,[-(szNzAzT0 = szNzAzT0)],extension(2 ^ 2,bind([[_186369], [szNzAzT0]]))).
% 101.21/98.67  ncf('1.2',plain,[-(szszuzczcdt0(679 ^ [xK]) = xK), xK = szszuzczcdt0(679 ^ [xK])],extension(4 ^ 1,bind([[_186476, _186478], [szszuzczcdt0(679 ^ [xK]), xK]]))).
% 101.21/98.67  ncf('1.2.1',plain,[-(xK = szszuzczcdt0(679 ^ [xK])), aElementOf0(xK, szNzAzT0), -(xK = sz00)],extension(672 ^ 2,bind([[_207652], [xK]]))).
% 101.21/98.67  ncf('1.2.1.1',plain,[-(aElementOf0(xK, szNzAzT0))],extension(1557 ^ 3)).
% 101.21/98.67  ncf('1.2.1.2',plain,[xK = sz00],extension(1611 ^ 3)).
% 101.21/98.67  %-----------------------------------------------------
% 101.21/98.67  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------